Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
1969 conjugacy classes of subgroups.
The subgroup lattice has 1145 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72227074 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72227072 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72227071 | — | 2 | 2 | no | — |
| 4 | #72227070 | — | 2 | 2 | no | — |
| 5 | #72227069 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72227068 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #72225529 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72225527 | C22 | 1 | 2 | yes | — |
| 9 | #72225526 | C22 | 1 | 2 | yes | — |
| 10 | #72225421 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72225420 | C22 | 1 | 2 | yes | — |
| 12 | #72225419 | C22 | 1 | 2 | yes | — |
| 13 | #72225418 | — | 2 | 2 | no | — |
| 14 | #72225416 | — | 2 | 1 | no | — |
| 15 | #72225414 | — | 2 | 1 | no | — |
| 16 | #72225351 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #72225350 | C22 | 1 | 2 | yes | — |
| 18 | #72225349 | C22 | 1 | 2 | yes | — |
| 19 | #72225320 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #72225317 | C22 | 1 | 1 | yes | characteristic |
| 21 | #72225316 | C22 | 1 | 1 | yes | characteristic |
| 22 | #72225179 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 23 | #72225172 | C22 | 1 | 2 | yes | — |
| 24 | #72225172 | C22 | 1 | 2 | yes | — |
| 25 | #72225138 | C22 | 1 | 1 | yes | characteristic |
| 26 | #72225126 | C22 | 1 | 1 | yes | characteristic |
| 27 | #72225077 | — | 2 | 2 | no | — |
| 28 | #72225075 | — | 2 | 2 | no | — |
| 29 | #72223685 | C22 | 1 | 1 | yes | characteristic |
| 30 | #72223683 | C22 | 1 | 1 | yes | characteristic |
| 31 | #72216431 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 32 | #72216426 | — | 2 | 2 | no | — |
| 33 | #72216424 | — | 2 | 1 | no | — |
| 34 | #72216424 | C22 | 1 | 2 | yes | — |
| 35 | #72216421 | — | 2 | 1 | no | — |
| 36 | #72216421 | C22 | 1 | 2 | yes | — |
| 37 | #72216277 | C2 | 1 | 1 | yes | maximal, characteristic |
| 38 | #72216273 | C4 | 1 | 1 | yes | characteristic |
| 39 | #72216271 | C4 | 1 | 2 | yes | — |
| 40 | #72216270 | C4 | 1 | 1 | yes | characteristic |
| 41 | #72216267 | C4 | 1 | 1 | yes | characteristic |
| 42 | #72216264 | C4 | 1 | 2 | yes | — |
| 43 | C2×#151634 | C4 | 1 | 1 | yes | characteristic |
| 44 | #72216259 | C22 | 1 | 2 | yes | — |
| 45 | #72216258 | C22 | 1 | 2 | yes | — |
| 46 | #72216243 | C22 | 1 | 1 | yes | characteristic |
| 47 | #72216215 | C22 | 1 | 1 | yes | characteristic |
| 48 | #72216215 | C22 | 1 | 1 | yes | characteristic |
| 49 | #72216211 | C22 | 1 | 1 | yes | characteristic |
| 50 | #72216165 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×#13692 | C2×C4 | 1 | 2 | yes | — |
| 52 | C2×#13658 | — | 2 | 2 | no | — |
| 53 | #497829 | — | 2 | 2 | no | — |
| 54 | #496104 | — | 2 | 1 | no | — |
| 55 | #496104 | C23 | 1 | 2 | yes | — |
| 56 | #493242 | C23 | 1 | 1 | yes | characteristic |
| 57 | #493217 | — | 2 | 1 | no | — |
| 58 | C2×#12515 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #483601 | — | 2 | 2 | no | — |
| 60 | #483596 | — | 2 | 2 | no | — |
| 61 | #483596 | — | 4 | 1 | no | — |
| 62 | C2×#12047 | C2×C4 | 1 | 1 | yes | characteristic |
| 63 | C2×#12046 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | #483327 | — | 4 | 1 | no | — |
| 65 | #231469 | — | 2 | 2 | no | — |
| 66 | C4×#1712 | — | 2 | 1 | no | — |
| 67 | #152994 | C2×C4 | 1 | 2 | yes | — |
| 68 | #152873 | C2×C4 | 1 | 2 | yes | — |
| 69 | #152824 | — | 2 | 2 | no | — |
| 70 | #152534 | — | 2 | 2 | no | — |
| 71 | #152282 | C2×C4 | 1 | 2 | yes | — |
| 72 | #151981 | C23 | 1 | 2 | yes | — |
| 73 | #151969 | — | 2 | 2 | no | — |
| 74 | C4×#1398 | C23 | 1 | 1 | yes | characteristic |
| 75 | C4×#1398 | C23 | 1 | 1 | yes | characteristic |
| 76 | #151634 | C8 | 1 | 4 | yes | complemented |
| 77 | #151634 | C8 | 1 | 4 | yes | complemented |
| 78 | AGL(1,ℤ/32) | — | 4 | 8 | no | — |
| 79 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 80 | C2×#7459 | C2×C4 | 1 | 1 | yes | characteristic |
| 81 | #151024 | — | 2 | 2 | no | — |
| 82 | C2×#7448 | C2×C4 | 1 | 2 | yes | — |
| 83 | C2×#7448 | C2×C4 | 1 | 2 | yes | — |
| 84 | #150074 | — | 2 | 1 | no | — |
| 85 | C2×#7390 | — | 2 | 2 | no | — |
| 86 | C2×#7390 | — | 2 | 2 | no | — |
| 87 | C2×#7390 | — | 4 | 2 | no | — |
| 88 | #150071 | D4 | 1 | 2 | yes | — |
| 89 | #149504 | — | 2 | 2 | no | — |
| 90 | #149502 | — | 2 | 1 | no | — |
| 91 | #149499 | — | 2 | 1 | no | — |
| 92 | #141681 | — | 2 | 1 | no | — |
| 93 | #141681 | C2×C4 | 1 | 2 | yes | — |
| 94 | #141665 | — | 2 | 1 | no | — |
| 95 | #140849 | — | 2 | 2 | no | — |
| 96 | #140849 | — | 2 | 2 | no | — |
| 97 | #140747 | — | 2 | 2 | no | — |
| 98 | #140747 | — | 4 | 1 | no | — |
| 99 | #140393 | — | 2 | 2 | no | — |
| 100 | #140357 | — | 2 | 2 | no | — |
| 101 | #136703 | — | 4 | 2 | no | — |
| 102 | #136703 | — | 4 | 2 | no | — |
| 103 | #135910 | — | 4 | 2 | no | — |
| 104 | #135833 | — | 4 | 2 | no | — |
| 105 | #135778 | C2×C4 | 1 | 1 | yes | characteristic |
| 106 | #135718 | — | 2 | 1 | no | — |
| 107 | #135718 | C23 | 1 | 2 | yes | — |
| 108 | #135713 | — | 2 | 1 | no | — |
| 109 | #134666 | — | 4 | 1 | no | — |
| 110 | #134373 | — | 2 | 2 | no | — |
| 111 | #129143 | C2×C4 | 1 | 1 | yes | characteristic |
| 112 | #129142 | C2×C4 | 1 | 1 | yes | characteristic |
| 113 | #129101 | C23 | 1 | 1 | yes | characteristic |
| 114 | #129090 | D4 | 1 | 1 | yes | characteristic |
| 115 | #129090 | C23 | 1 | 1 | yes | characteristic |
| 116 | #129088 | D4 | 1 | 1 | yes | characteristic |
| 117 | #129088 | C23 | 1 | 1 | yes | characteristic |
| 118 | #129051 | — | 2 | 1 | no | — |
| 119 | #129051 | C23 | 1 | 2 | yes | — |
| 120 | #128674 | — | 2 | 1 | no | — |
| 121 | #128673 | — | 2 | 1 | no | — |
| 122 | C4×#1335 | — | 2 | 1 | no | — |
| 123 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 124 | #124215 | — | 2 | 2 | no | — |
| 125 | #94364 | C2×C4 | 1 | 2 | yes | — |
| 126 | #94364 | C2×C4 | 1 | 2 | yes | — |
| 127 | #94058 | — | 2 | 1 | no | — |
| 128 | #94056 | D4 | 1 | 2 | yes | — |
| 129 | #94031 | — | 2 | 2 | no | — |
| 130 | #94019 | C2×C4 | 1 | 2 | yes | — |
| 131 | #93996 | — | 2 | 2 | no | — |
| 132 | #93448 | — | 2 | 2 | no | — |
| 133 | #93264 | — | 2 | 1 | no | — |
| 134 | #93264 | D4 | 1 | 2 | yes | — |
| 135 | C2×#2263 | — | 2 | 2 | no | — |
| 136 | C2×#2246 | — | 2 | 1 | no | — |
| 137 | C2×#2246 | C22×C4 | 1 | 2 | yes | — |
| 138 | C2×#2179 | C2×D4 | 1 | 1 | yes | characteristic |
| 139 | C2×#2178 | C22×C4 | 1 | 1 | yes | characteristic |
| 140 | #33451 | #41 | 1 | 1 | yes | characteristic |
| 141 | C2×#2177 | — | 2 | 2 | no | — |
| 142 | C2×#2177 | — | 2 | 2 | no | — |
| 143 | C2×#2177 | — | 4 | 1 | no | — |
| 144 | C2×#2177 | — | 4 | 1 | no | — |
| 145 | #33443 | — | 4 | 2 | no | — |
| 146 | C2×#2170 | — | 2 | 1 | no | — |
| 147 | C2×#2170 | — | 2 | 1 | no | — |
| 148 | #33401 | — | 4 | 2 | no | — |
| 149 | #33326 | — | 4 | 1 | no | — |
| 150 | C4×#493 | — | 2 | 2 | no | — |
| 151 | C4×#493 | — | 8 | 1 | no | — |
| 152 | C4×#443 | — | 2 | 1 | no | — |
| 153 | C2×#1712 | — | 2 | 1 | no | — |
| 154 | #17854 | — | 4 | 2 | no | — |
| 155 | #17854 | — | 4 | 2 | no | — |
| 156 | #13692 | — | 2 | 4 | no | — |
| 157 | #13692 | C2×C8 | 1 | 8 | yes | complemented |
| 158 | #13658 | — | 4 | 4 | no | — |
| 159 | #13658 | — | 4 | 4 | no | — |
| 160 | C2×#1426 | — | 2 | 2 | no | — |
| 161 | C2×#1422 | C22×C4 | 1 | 2 | yes | — |
| 162 | C2×#1422 | C22×C4 | 1 | 2 | yes | — |
| 163 | C2×#1419 | — | 2 | 2 | no | — |
| 164 | C2×#1419 | — | 2 | 2 | no | — |
| 165 | C2×#1418 | — | 2 | 2 | no | — |
| 166 | #13617 | — | 2 | 2 | no | — |
| 167 | C2×#1398 | — | 2 | 2 | no | — |
| 168 | C2×#1398 | — | 2 | 1 | no | — |
| 169 | C2×#1398 | — | 2 | 1 | no | — |
| 170 | C2×#1398 | — | 2 | 1 | no | — |
| 171 | C2×#1398 | C2×D4 | 1 | 2 | yes | — |
| 172 | C4×M64 | — | 2 | 1 | no | — |
| 173 | C4×M64 | — | 2 | 1 | no | — |
| 174 | #13239 | — | 2 | 2 | no | — |
| 175 | #13239 | — | 2 | 2 | no | — |
| 176 | #13239 | — | 4 | 1 | no | — |
| 177 | #13239 | — | 4 | 1 | no | — |
| 178 | #13202 | — | 2 | 2 | no | — |
| 179 | #13202 | — | 2 | 2 | no | — |
| 180 | #13164 | — | 4 | 2 | no | — |
| 181 | #12918 | — | 8 | 2 | no | — |
| 182 | #12906 | — | 2 | 1 | no | — |
| 183 | #12906 | C22×C4 | 1 | 2 | yes | — |
| 184 | #12900 | — | 2 | 2 | no | — |
| 185 | #12792 | — | 4 | 2 | no | — |
| 186 | #12676 | #41 | 1 | 1 | yes | characteristic |
| 187 | #12671 | C2×D4 | 1 | 1 | yes | characteristic |
| 188 | #12670 | C22×C4 | 1 | 1 | yes | characteristic |
| 189 | #12664 | — | 2 | 1 | no | — |
| 190 | #12664 | — | 2 | 1 | no | — |
| 191 | C4×#364 | — | 2 | 1 | no | — |
| 192 | C4×#364 | — | 2 | 1 | no | — |
| 193 | C4×#364 | C2×D4 | 1 | 2 | yes | — |
| 194 | #12642 | — | 2 | 1 | no | — |
| 195 | #12641 | — | 2 | 1 | no | — |
| 196 | #12640 | — | 2 | 1 | no | — |
| 197 | #12615 | — | 4 | 1 | no | — |
| 198 | #12615 | — | 4 | 1 | no | — |
| 199 | #12604 | — | 4 | 1 | no | — |
| 200 | C4×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C4×#346 | C24 | 1 | 1 | yes | characteristic |
| 202 | #12515 | — | 2 | 1 | no | — |
| 203 | #12515 | — | 2 | 1 | no | — |
| 204 | #12515 | C2×C8 | 1 | 2 | yes | — |
| 205 | #12515 | C2×C8 | 1 | 2 | yes | — |
| 206 | #12068 | — | 4 | 4 | no | — |
| 207 | #12068 | — | 8 | 2 | no | — |
| 208 | #12067 | — | 4 | 4 | no | — |
| 209 | #12067 | — | 8 | 2 | no | — |
| 210 | #12067 | — | 8 | 2 | no | — |
| 211 | #12067 | — | 8 | 2 | no | — |
| 212 | #12047 | — | 2 | 2 | no | — |
| 213 | #12047 | — | 4 | 1 | no | — |
| 214 | #12046 | — | 2 | 1 | no | — |
| 215 | #12046 | — | 2 | 1 | no | — |
| 216 | #12046 | C2×C8 | 1 | 2 | yes | complemented |
| 217 | #12046 | C2×C8 | 1 | 2 | yes | complemented |
| 218 | C2×#1373 | C22×C4 | 1 | 1 | yes | characteristic |
| 219 | C2×#1373 | C22×C4 | 1 | 1 | yes | characteristic |
| 220 | #12002 | — | 4 | 2 | no | — |
| 221 | #12002 | — | 8 | 2 | no | — |
| 222 | C2×#1369 | — | 2 | 1 | no | — |
| 223 | C2×#1369 | — | 2 | 2 | no | — |
| 224 | C2×#1369 | — | 2 | 1 | no | — |
| 225 | C2×#1369 | — | 2 | 2 | no | — |
| 226 | C2×#1369 | — | 4 | 1 | no | — |
| 227 | C2×#1369 | — | 4 | 1 | no | — |
| 228 | C2×#1369 | — | 8 | 2 | no | — |
| 229 | #11999 | — | 2 | 1 | no | — |
| 230 | #11999 | C2×D4 | 1 | 2 | yes | — |
| 231 | #11996 | — | 8 | 1 | no | — |
| 232 | #11604 | — | 4 | 2 | no | — |
| 233 | C2×#1335 | — | 2 | 1 | no | — |
| 234 | C2×#1335 | — | 2 | 1 | no | — |
| 235 | #11599 | — | 4 | 2 | no | — |
| 236 | #11599 | — | 4 | 2 | no | — |
| 237 | #11593 | — | 4 | 2 | no | — |
| 238 | #11593 | — | 4 | 2 | no | — |
| 239 | #11405 | — | 2 | 2 | no | — |
| 240 | #11405 | — | 4 | 1 | no | — |
| 241 | C2×#1311 | C22×C4 | 1 | 1 | yes | characteristic |
| 242 | C2×#1311 | #41 | 1 | 1 | yes | characteristic |
| 243 | C2×C8×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 244 | C2×C8×C16 | #41 | 1 | 1 | yes | characteristic |
| 245 | #9824 | — | 2 | 2 | no | — |
| 246 | #9824 | — | 8 | 1 | no | — |
| 247 | #9668 | — | 4 | 2 | no | — |
| 248 | #9668 | — | 4 | 2 | no | — |
| 249 | #8959 | — | 8 | 2 | no | — |
| 250 | #8818 | — | 2 | 1 | no | — |
| 251 | #8266 | — | 2 | 1 | no | — |
| 252 | #8266 | C2×D4 | 1 | 2 | yes | — |
| 253 | C4×C82 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | #7477 | — | 2 | 2 | no | — |
| 255 | #7474 | — | 2 | 2 | no | — |
| 256 | #7468 | — | 2 | 2 | no | — |
| 257 | #7459 | — | 2 | 1 | no | — |
| 258 | #7459 | — | 2 | 1 | no | — |
| 259 | #7459 | C2×C8 | 1 | 2 | yes | complemented |
| 260 | #7459 | C2×C8 | 1 | 2 | yes | complemented |
| 261 | #7457 | — | 4 | 4 | no | — |
| 262 | #7448 | — | 4 | 2 | no | — |
| 263 | #7448 | C2×C8 | 1 | 8 | yes | complemented |
| 264 | #7391 | — | 4 | 1 | no | — |
| 265 | #7390 | — | 4 | 4 | no | — |
| 266 | #7390 | — | 4 | 1 | no | — |
| 267 | #7390 | — | 8 | 2 | no | — |
| 268 | #7390 | — | 8 | 4 | no | — |
| 269 | #7389 | — | 2 | 4 | no | — |
| 270 | #7333 | — | 4 | 4 | no | — |
| 271 | #7332 | — | 4 | 1 | no | — |
| 272 | #7332 | — | 4 | 1 | no | — |
| 273 | #7331 | — | 4 | 2 | no | — |
| 274 | #7180 | — | 4 | 2 | no | — |
| 275 | #7179 | — | 2 | 1 | no | — |
| 276 | #7179 | — | 2 | 1 | no | — |
| 277 | #7162 | — | 4 | 2 | no | — |
| 278 | #7161 | — | 2 | 1 | no | — |
| 279 | #7161 | — | 2 | 1 | no | — |
| 280 | #7160 | — | 2 | 1 | no | — |
| 281 | #7157 | — | 2 | 1 | no | — |
| 282 | #7157 | — | 2 | 1 | no | — |
| 283 | #7140 | — | 2 | 2 | no | — |
| 284 | #7140 | — | 4 | 1 | no | — |
| 285 | #7107 | — | 8 | 2 | no | — |
| 286 | C2×#508 | C4×D4 | 1 | 1 | yes | characteristic |
| 287 | C22×D16 | — | 2 | 2 | no | — |
| 288 | C22×D16 | — | 2 | 2 | no | — |
| 289 | C22×D16 | — | 4 | 1 | no | — |
| 290 | C22×D16 | — | 4 | 1 | no | — |
| 291 | #3407 | — | 8 | 2 | no | — |
| 292 | C2×#504 | — | 4 | 1 | no | — |
| 293 | C2×#504 | — | 4 | 1 | no | — |
| 294 | C2×#493 | — | 2 | 2 | no | — |
| 295 | C2×#493 | — | 8 | 1 | no | — |
| 296 | #2972 | — | 8 | 2 | no | — |
| 297 | C2×#443 | — | 2 | 1 | no | — |
| 298 | C2×#443 | — | 2 | 1 | no | — |
| 299 | C4×#135 | — | 2 | 1 | no | — |
| 300 | C2×C4×D8 | — | 4 | 2 | no | — |
| 301 | C2×C4×D8 | — | 4 | 2 | no | — |
| 302 | C2×C4×D8 | — | 16 | 2 | no | — |
| 303 | C4×#131 | — | 4 | 1 | no | — |
| 304 | C4×#127 | — | 4 | 2 | no | — |
| 305 | #2263 | — | 2 | 8 | no | — |
| 306 | #2263 | — | 4 | 4 | no | — |
| 307 | C2×SD64 | — | 4 | 2 | no | — |
| 308 | C2×D32 | — | 4 | 2 | no | — |
| 309 | C2×M64 | — | 2 | 2 | no | — |
| 310 | C2×M64 | — | 2 | 2 | no | — |
| 311 | C2×M64 | — | 2 | 2 | no | — |
| 312 | C2×M64 | — | 4 | 1 | no | — |
| 313 | #2246 | — | 2 | 2 | no | — |
| 314 | #2246 | — | 2 | 2 | no | — |
| 315 | #2246 | — | 2 | 2 | no | — |
| 316 | #2246 | — | 2 | 2 | no | — |
| 317 | #2246 | — | 2 | 2 | no | — |
| 318 | #2246 | — | 4 | 1 | no | — |
| 319 | #2246 | — | 4 | 1 | no | — |
| 320 | #2246 | C22×C8 | 1 | 4 | yes | — |
| 321 | #2179 | — | 2 | 2 | no | — |
| 322 | #2179 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 323 | #2178 | — | 2 | 1 | no | — |
| 324 | #2178 | — | 2 | 1 | no | — |
| 325 | #2178 | C22×C8 | 1 | 2 | yes | — |
| 326 | #2178 | #131 | 1 | 2 | yes | — |
| 327 | #2177 | — | 2 | 1 | no | — |
| 328 | #2177 | — | 4 | 2 | no | — |
| 329 | #2177 | — | 4 | 2 | no | — |
| 330 | #2177 | — | 4 | 2 | no | — |
| 331 | #2177 | — | 4 | 2 | no | — |
| 332 | #2177 | — | 8 | 1 | no | — |
| 333 | #2177 | — | 8 | 1 | no | — |
| 334 | #2177 | — | 8 | 1 | no | — |
| 335 | #2177 | — | 8 | 1 | no | — |
| 336 | #2177 | — | 8 | 2 | no | — |
| 337 | #2177 | — | 8 | 2 | no | — |
| 338 | #2177 | — | 16 | 1 | no | — |
| 339 | #2177 | — | 16 | 1 | no | — |
| 340 | #2176 | — | 2 | 1 | no | — |
| 341 | #2175 | — | 4 | 1 | no | — |
| 342 | #2171 | — | 8 | 4 | no | — |
| 343 | #2170 | — | 2 | 2 | no | — |
| 344 | #2170 | — | 2 | 2 | no | — |
| 345 | #2170 | — | 4 | 2 | no | — |
| 346 | #2170 | — | 4 | 1 | no | — |
| 347 | #2170 | — | 4 | 1 | no | — |
| 348 | #2170 | — | 8 | 1 | no | — |
| 349 | #2170 | — | 16 | 2 | no | — |
| 350 | C2×#368 | C4×D4 | 1 | 1 | yes | characteristic |
| 351 | C2×#368 | C4×D4 | 1 | 1 | yes | characteristic |
| 352 | #2158 | C4×D4 | 1 | 1 | yes | characteristic |
| 353 | C2×#367 | — | 2 | 2 | no | — |
| 354 | C2×#367 | — | 2 | 2 | no | — |
| 355 | C2×#367 | — | 4 | 1 | no | — |
| 356 | C2×#367 | — | 4 | 1 | no | — |
| 357 | #2153 | — | 8 | 2 | no | — |
| 358 | #2153 | — | 16 | 2 | no | — |
| 359 | C2×#364 | — | 2 | 1 | no | — |
| 360 | C2×#364 | — | 2 | 1 | no | — |
| 361 | C2×#364 | — | 2 | 2 | no | — |
| 362 | C2×#364 | — | 4 | 2 | no | — |
| 363 | C2×#364 | — | 4 | 1 | no | — |
| 364 | C2×#364 | — | 4 | 2 | no | — |
| 365 | C2×#364 | — | 8 | 4 | no | — |
| 366 | #2150 | — | 4 | 2 | no | — |
| 367 | C2×#359 | — | 2 | 1 | no | — |
| 368 | C2×#359 | — | 2 | 1 | no | — |
| 369 | #2138 | — | 2 | 1 | no | — |
| 370 | C2×#357 | — | 4 | 2 | no | — |
| 371 | C2×#357 | — | 4 | 2 | no | — |
| 372 | C2×#357 | — | 4 | 2 | no | — |
| 373 | C2×#357 | — | 4 | 2 | no | — |
| 374 | #2117 | — | 8 | 2 | no | — |
| 375 | C2×#350 | — | 4 | 1 | no | — |
| 376 | C2×#350 | — | 4 | 1 | no | — |
| 377 | #2108 | — | 4 | 1 | no | — |
| 378 | #2108 | — | 4 | 1 | no | — |
| 379 | #2108 | — | 8 | 1 | no | — |
| 380 | #2108 | — | 8 | 1 | no | — |
| 381 | C4×M32 | — | 2 | 2 | no | — |
| 382 | C4×M32 | — | 4 | 1 | no | — |
| 383 | C4×M32 | — | 4 | 1 | no | — |
| 384 | C4×M32 | — | 8 | 1 | no | — |
| 385 | C2×#346 | — | 8 | 1 | no | — |
| 386 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 387 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 388 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 389 | C2×#346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 390 | C2×#346 | C22×D4 | 1 | 1 | yes | characteristic |
| 391 | C2×#346 | C2×#41 | 1 | 1 | yes | characteristic |
| 392 | C2×#346 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 393 | C2×#346 | 2−1+4 | 1 | 1 | yes | characteristic |
| 394 | C2×C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 395 | C2×C4×C16 | C4×D4 | 1 | 1 | yes | characteristic |
| 396 | C2×C4×C16 | C23×C4 | 1 | 1 | yes | characteristic |
| 397 | C2×C4×C16 | C2×#41 | 1 | 1 | yes | characteristic |
| 398 | #1970 | — | 4 | 2 | no | — |
| 399 | #1970 | — | 4 | 2 | no | — |
| 400 | #1970 | — | 16 | 2 | no | — |
| 401 | #1957 | — | 4 | 2 | no | — |
| 402 | #1957 | — | 8 | 2 | no | — |
| 403 | #1845 | — | 2 | 2 | no | — |
| 404 | #1845 | — | 8 | 1 | no | — |
| 405 | C4×#108 | — | 2 | 1 | no | — |
| 406 | #1772 | — | 2 | 1 | no | — |
| 407 | #1772 | — | 2 | 1 | no | — |
| 408 | #1764 | — | 4 | 1 | no | — |
| 409 | #1764 | — | 4 | 1 | no | — |
| 410 | C4×#104 | — | 4 | 1 | no | — |
| 411 | C42×C8 | — | 2 | 1 | no | — |
| 412 | C42×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 413 | #1712 | — | 2 | 2 | no | — |
| 414 | #1712 | — | 2 | 2 | no | — |
| 415 | #1712 | — | 8 | 1 | no | — |
| 416 | #1580 | — | 8 | 4 | no | — |
| 417 | #1580 | — | 8 | 4 | no | — |
| 418 | C8×D8 | — | 16 | 2 | no | — |
| 419 | C8×D8 | — | 16 | 2 | no | — |
| 420 | #1564 | — | 2 | 2 | no | — |
| 421 | #1564 | — | 2 | 2 | no | — |
| 422 | #1478 | — | 8 | 2 | no | — |
| 423 | #1478 | — | 8 | 2 | no | — |
| 424 | #1460 | — | 8 | 2 | no | — |
| 425 | #1450 | — | 2 | 2 | no | — |
| 426 | #1450 | — | 4 | 1 | no | — |
| 427 | C2×C82 | — | 2 | 1 | no | — |
| 428 | C2×C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 429 | C2×C82 | C4×D4 | 1 | 1 | yes | characteristic |
| 430 | #1426 | — | 4 | 4 | no | — |
| 431 | #1422 | — | 2 | 2 | no | — |
| 432 | #1422 | — | 2 | 2 | no | — |
| 433 | #1422 | — | 2 | 2 | no | — |
| 434 | #1422 | C22×C8 | 1 | 4 | yes | — |
| 435 | #1419 | — | 2 | 8 | no | — |
| 436 | #1419 | — | 4 | 4 | no | — |
| 437 | #1418 | — | 4 | 4 | no | — |
| 438 | #1415 | — | 8 | 2 | no | — |
| 439 | #1398 | — | 2 | 2 | no | — |
| 440 | #1398 | — | 2 | 2 | no | — |
| 441 | #1398 | — | 4 | 1 | no | — |
| 442 | #1398 | — | 4 | 2 | no | — |
| 443 | #1398 | — | 4 | 1 | no | — |
| 444 | #1398 | — | 4 | 2 | no | — |
| 445 | #1398 | — | 4 | 2 | no | — |
| 446 | #1398 | — | 8 | 1 | no | — |
| 447 | #1397 | — | 4 | 1 | no | — |
| 448 | #1397 | — | 4 | 1 | no | — |
| 449 | C4×C32 | — | 2 | 2 | no | — |
| 450 | C4×C32 | — | 4 | 1 | no | — |
| 451 | #1382 | — | 2 | 1 | no | — |
| 452 | #1382 | — | 2 | 1 | no | — |
| 453 | #1381 | — | 2 | 1 | no | — |
| 454 | #1379 | — | 4 | 1 | no | — |
| 455 | #1379 | — | 4 | 1 | no | — |
| 456 | #1378 | — | 8 | 2 | no | — |
| 457 | #1376 | — | 2 | 2 | no | — |
| 458 | #1376 | — | 4 | 1 | no | — |
| 459 | #1376 | — | 4 | 1 | no | — |
| 460 | #1373 | — | 2 | 1 | no | — |
| 461 | #1373 | — | 2 | 1 | no | — |
| 462 | #1373 | — | 2 | 1 | no | — |
| 463 | #1373 | C22×C8 | 1 | 2 | yes | — |
| 464 | #1369 | — | 4 | 1 | no | — |
| 465 | #1369 | — | 4 | 1 | no | — |
| 466 | #1369 | — | 4 | 1 | no | — |
| 467 | #1369 | — | 4 | 1 | no | — |
| 468 | #1369 | — | 4 | 2 | no | — |
| 469 | #1369 | — | 4 | 2 | no | — |
| 470 | #1369 | — | 8 | 2 | no | — |
| 471 | #1369 | — | 8 | 1 | no | — |
| 472 | #1369 | — | 8 | 1 | no | — |
| 473 | #1369 | — | 8 | 4 | no | — |
| 474 | #1369 | — | 16 | 1 | no | — |
| 475 | #1368 | — | 2 | 2 | no | — |
| 476 | #1368 | — | 2 | 2 | no | — |
| 477 | #1368 | — | 4 | 1 | no | — |
| 478 | #1368 | — | 4 | 1 | no | — |
| 479 | #1367 | — | 16 | 2 | no | — |
| 480 | #1336 | — | 8 | 4 | no | — |
| 481 | #1335 | — | 2 | 2 | no | — |
| 482 | #1335 | — | 2 | 2 | no | — |
| 483 | #1335 | — | 4 | 2 | no | — |
| 484 | #1333 | — | 8 | 4 | no | — |
| 485 | #1333 | — | 8 | 4 | no | — |
| 486 | #1331 | — | 16 | 2 | no | — |
| 487 | #1331 | — | 16 | 2 | no | — |
| 488 | #1313 | — | 4 | 2 | no | — |
| 489 | #1313 | — | 4 | 2 | no | — |
| 490 | #1313 | — | 8 | 1 | no | — |
| 491 | #1313 | — | 8 | 1 | no | — |
| 492 | #1311 | — | 2 | 1 | no | — |
| 493 | #1311 | — | 2 | 1 | no | — |
| 494 | #1311 | — | 2 | 1 | no | — |
| 495 | #1311 | — | 2 | 1 | no | — |
| 496 | C8×C16 | — | 4 | 1 | no | — |
| 497 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 498 | C8×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 499 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 500 | C8×C16 | #131 | 1 | 1 | yes | characteristic |
| 501 | #1276 | — | 2 | 2 | no | — |
| 502 | #1276 | — | 4 | 1 | no | — |
| 503 | C2×#135 | — | 2 | 1 | no | — |
| 504 | C22×D8 | — | 4 | 2 | no | — |
| 505 | C22×D8 | — | 4 | 2 | no | — |
| 506 | C22×D8 | — | 16 | 2 | no | — |
| 507 | C2×#131 | — | 4 | 1 | no | — |
| 508 | C2×#131 | — | 4 | 1 | no | — |
| 509 | C2×#127 | — | 4 | 2 | no | — |
| 510 | C4×#41 | — | 4 | 1 | no | — |
| 511 | C2×C4×D4 | — | 8 | 2 | no | — |
| 512 | C2×C4×D4 | — | 16 | 2 | no | — |
| 513 | #508 | — | 2 | 1 | no | — |
| 514 | #508 | — | 2 | 1 | no | — |
| 515 | #508 | C8×D4 | 1 | 2 | yes | — |
| 516 | #508 | #442 | 1 | 2 | yes | — |
| 517 | C2×Q32 | #444 | 1 | 1 | yes | characteristic |
| 518 | C2×SD32 | — | 2 | 1 | no | — |
| 519 | C2×D16 | — | 2 | 4 | no | — |
| 520 | C2×D16 | — | 2 | 4 | no | — |
| 521 | C2×D16 | — | 4 | 2 | no | — |
| 522 | C2×D16 | — | 4 | 2 | no | — |
| 523 | C2×D16 | — | 4 | 2 | no | — |
| 524 | C2×D16 | — | 4 | 2 | no | — |
| 525 | C2×D16 | — | 4 | 2 | no | — |
| 526 | C2×D16 | — | 4 | 2 | no | — |
| 527 | C2×D16 | — | 4 | 2 | no | — |
| 528 | C2×D16 | — | 4 | 2 | no | — |
| 529 | C2×D16 | — | 4 | 2 | no | — |
| 530 | C2×D16 | — | 4 | 2 | no | — |
| 531 | C2×D16 | — | 8 | 2 | no | — |
| 532 | C2×D16 | — | 8 | 2 | no | — |
| 533 | C2×D16 | — | 8 | 1 | no | — |
| 534 | C2×D16 | — | 8 | 1 | no | — |
| 535 | C2×D16 | — | 8 | 1 | no | — |
| 536 | C2×D16 | — | 8 | 1 | no | — |
| 537 | C2×D16 | — | 16 | 1 | no | — |
| 538 | C2×D16 | — | 16 | 1 | no | — |
| 539 | C2×D16 | #444 | 1 | 1 | yes | characteristic |
| 540 | #504 | — | 4 | 2 | no | — |
| 541 | #504 | — | 4 | 2 | no | — |
| 542 | #504 | — | 8 | 2 | no | — |
| 543 | #504 | — | 8 | 1 | no | — |
| 544 | #504 | — | 8 | 1 | no | — |
| 545 | #504 | — | 16 | 1 | no | — |
| 546 | #504 | — | 16 | 4 | no | — |
| 547 | #504 | — | 32 | 2 | no | — |
| 548 | C2×M32 | — | 4 | 1 | no | — |
| 549 | C2×M32 | — | 4 | 1 | no | — |
| 550 | C2×M32 | — | 4 | 2 | no | — |
| 551 | C2×M32 | — | 8 | 1 | no | — |
| 552 | C2×M32 | — | 8 | 1 | no | — |
| 553 | C2×M32 | — | 8 | 1 | no | — |
| 554 | C2×M32 | — | 8 | 2 | no | — |
| 555 | C2×M32 | — | 16 | 4 | no | — |
| 556 | C22×C16 | — | 8 | 1 | no | — |
| 557 | C22×C16 | — | 8 | 1 | no | — |
| 558 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 559 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 560 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 561 | C22×C16 | #442 | 1 | 1 | yes | characteristic |
| 562 | C22×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 563 | C22×C16 | #520 | 1 | 1 | yes | characteristic |
| 564 | C22×C16 | #547 | 1 | 1 | yes | characteristic |
| 565 | C22×C16 | #553 | 1 | 1 | yes | characteristic |
| 566 | #493 | — | 2 | 4 | no | — |
| 567 | #493 | — | 4 | 2 | no | — |
| 568 | #493 | — | 4 | 2 | no | — |
| 569 | #493 | — | 4 | 2 | no | — |
| 570 | #493 | — | 8 | 2 | no | — |
| 571 | #493 | — | 8 | 2 | no | — |
| 572 | #493 | — | 16 | 2 | no | — |
| 573 | #443 | — | 2 | 2 | no | — |
| 574 | #443 | — | 2 | 2 | no | — |
| 575 | #443 | — | 2 | 4 | no | — |
| 576 | #443 | — | 4 | 1 | no | — |
| 577 | #443 | — | 4 | 1 | no | — |
| 578 | #443 | — | 4 | 2 | no | — |
| 579 | C4×Q16 | — | 4 | 1 | no | — |
| 580 | C4×SD16 | — | 8 | 1 | no | — |
| 581 | C4×D8 | — | 4 | 1 | no | — |
| 582 | C4×D8 | — | 8 | 2 | no | — |
| 583 | C4×D8 | — | 8 | 2 | no | — |
| 584 | C4×D8 | — | 8 | 2 | no | — |
| 585 | C4×D8 | — | 8 | 2 | no | — |
| 586 | C4×D8 | — | 8 | 2 | no | — |
| 587 | C4×D8 | — | 8 | 2 | no | — |
| 588 | C4×D8 | — | 8 | 2 | no | — |
| 589 | C4×D8 | — | 8 | 2 | no | — |
| 590 | C4×D8 | — | 32 | 8 | no | — |
| 591 | C8×D4 | — | 16 | 4 | no | — |
| 592 | C8×D4 | — | 16 | 4 | no | — |
| 593 | #431 | — | 4 | 2 | no | — |
| 594 | #431 | — | 4 | 2 | no | — |
| 595 | C2×#108 | — | 2 | 1 | no | — |
| 596 | C2×#108 | — | 2 | 1 | no | — |
| 597 | #427 | — | 2 | 1 | no | — |
| 598 | C2×#107 | — | 4 | 2 | no | — |
| 599 | C2×#107 | — | 4 | 2 | no | — |
| 600 | C2×#107 | — | 16 | 2 | no | — |
| 601 | C2×#104 | — | 4 | 1 | no | — |
| 602 | C2×#104 | — | 4 | 1 | no | — |
| 603 | #416 | — | 4 | 1 | no | — |
| 604 | C2×#102 | — | 8 | 2 | no | — |
| 605 | C2×#102 | — | 8 | 2 | no | — |
| 606 | C2×#102 | — | 16 | 4 | no | — |
| 607 | C2×C22⋊C8 | — | 32 | 2 | no | — |
| 608 | #405 | — | 4 | 1 | no | — |
| 609 | #405 | — | 4 | 1 | no | — |
| 610 | #405 | — | 8 | 1 | no | — |
| 611 | #405 | — | 8 | 1 | no | — |
| 612 | C4×M16 | — | 4 | 1 | no | — |
| 613 | C4×M16 | — | 8 | 1 | no | — |
| 614 | C2×C4×C8 | — | 2 | 1 | no | — |
| 615 | C2×C4×C8 | — | 2 | 1 | no | — |
| 616 | C2×C4×C8 | — | 4 | 2 | no | — |
| 617 | C2×C4×C8 | — | 8 | 1 | no | — |
| 618 | C2×C4×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 619 | C2×C4×C8 | D42 | 1 | 1 | yes | characteristic |
| 620 | C2×C4×C8 | #548 | 1 | 1 | yes | characteristic |
| 621 | C2×C4×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 622 | C2×C4×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 623 | C2×C4×C8 | #576 | 1 | 1 | yes | characteristic |
| 624 | #390 | — | 8 | 2 | no | — |
| 625 | #390 | — | 16 | 2 | no | — |
| 626 | #384 | — | 4 | 2 | no | — |
| 627 | C43 | #577 | 1 | 1 | yes | characteristic |
| 628 | SD64 | — | 4 | 8 | no | — |
| 629 | D32 | — | 4 | 8 | no | — |
| 630 | M64 | — | 2 | 4 | no | — |
| 631 | M64 | — | 4 | 2 | no | — |
| 632 | M64 | — | 4 | 2 | no | — |
| 633 | M64 | — | 4 | 2 | no | — |
| 634 | M64 | — | 4 | 2 | no | — |
| 635 | M64 | — | 4 | 2 | no | — |
| 636 | M64 | — | 8 | 1 | no | — |
| 637 | M64 | — | 8 | 1 | no | — |
| 638 | C2×C32 | — | 4 | 2 | no | — |
| 639 | C2×C32 | — | 4 | 2 | no | — |
| 640 | C2×C32 | — | 4 | 2 | no | — |
| 641 | C2×C32 | — | 4 | 2 | no | — |
| 642 | #368 | — | 2 | 1 | no | — |
| 643 | #368 | — | 2 | 1 | no | — |
| 644 | #368 | C8×D4 | 1 | 2 | yes | — |
| 645 | #368 | #442 | 1 | 2 | yes | — |
| 646 | #367 | — | 2 | 1 | no | — |
| 647 | #367 | — | 4 | 2 | no | — |
| 648 | #367 | — | 4 | 2 | no | — |
| 649 | #367 | — | 8 | 1 | no | — |
| 650 | #367 | — | 8 | 1 | no | — |
| 651 | #367 | — | 8 | 2 | no | — |
| 652 | #367 | — | 16 | 1 | no | — |
| 653 | #366 | — | 2 | 1 | no | — |
| 654 | #364 | — | 2 | 2 | no | — |
| 655 | #364 | — | 4 | 2 | no | — |
| 656 | #364 | — | 4 | 2 | no | — |
| 657 | #364 | — | 4 | 1 | no | — |
| 658 | #364 | — | 4 | 1 | no | — |
| 659 | #364 | — | 4 | 1 | no | — |
| 660 | #364 | — | 8 | 1 | no | — |
| 661 | #364 | — | 8 | 2 | no | — |
| 662 | #364 | — | 8 | 2 | no | — |
| 663 | #364 | — | 8 | 1 | no | — |
| 664 | #364 | — | 8 | 2 | no | — |
| 665 | #364 | — | 8 | 2 | no | — |
| 666 | #364 | — | 16 | 4 | no | — |
| 667 | C4⋊C16 | — | 16 | 2 | no | — |
| 668 | #359 | — | 2 | 4 | no | — |
| 669 | #359 | — | 2 | 2 | no | — |
| 670 | #359 | — | 2 | 2 | no | — |
| 671 | #358 | — | 4 | 1 | no | — |
| 672 | #357 | — | 4 | 1 | no | — |
| 673 | #357 | — | 8 | 2 | no | — |
| 674 | #357 | — | 8 | 2 | no | — |
| 675 | #357 | — | 8 | 2 | no | — |
| 676 | #357 | — | 8 | 2 | no | — |
| 677 | #357 | — | 16 | 2 | no | — |
| 678 | #357 | — | 16 | 2 | no | — |
| 679 | #350 | — | 4 | 2 | no | — |
| 680 | #350 | — | 4 | 2 | no | — |
| 681 | #350 | — | 8 | 2 | no | — |
| 682 | #350 | — | 16 | 4 | no | — |
| 683 | #346 | — | 2 | 1 | no | — |
| 684 | #346 | — | 2 | 1 | no | — |
| 685 | #346 | — | 2 | 1 | no | — |
| 686 | #346 | — | 2 | 1 | no | — |
| 687 | #346 | — | 2 | 1 | no | — |
| 688 | #346 | — | 2 | 1 | no | — |
| 689 | #346 | — | 2 | 2 | no | — |
| 690 | #346 | — | 4 | 1 | no | — |
| 691 | #346 | — | 4 | 1 | no | — |
| 692 | #346 | — | 4 | 1 | no | — |
| 693 | #346 | — | 4 | 2 | no | — |
| 694 | #346 | — | 8 | 1 | no | — |
| 695 | #346 | — | 8 | 1 | no | — |
| 696 | #346 | — | 8 | 1 | no | — |
| 697 | #346 | — | 8 | 1 | no | — |
| 698 | #346 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 699 | #346 | #577 | 1 | 2 | yes | — |
| 700 | C4×C16 | — | 2 | 1 | no | — |
| 701 | C4×C16 | — | 2 | 1 | no | — |
| 702 | C4×C16 | — | 2 | 1 | no | — |
| 703 | C4×C16 | — | 2 | 1 | no | — |
| 704 | C4×C16 | — | 4 | 2 | no | — |
| 705 | C4×C16 | — | 8 | 1 | no | — |
| 706 | C4×C16 | — | 8 | 1 | no | — |
| 707 | C4×C16 | — | 8 | 1 | no | — |
| 708 | C4×C16 | — | 8 | 1 | no | — |
| 709 | C4×C16 | C8×D4 | 1 | 1 | yes | characteristic |
| 710 | C4×C16 | C8×D4 | 1 | 1 | yes | characteristic |
| 711 | C4×C16 | #444 | 1 | 1 | yes | characteristic |
| 712 | C4×C16 | #444 | 1 | 1 | yes | characteristic |
| 713 | C4×C16 | C23×C8 | 1 | 1 | yes | characteristic |
| 714 | C4×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 715 | C4×C16 | C2×#131 | 1 | 1 | yes | characteristic |
| 716 | C4×C16 | #568 | 1 | 1 | yes | characteristic |
| 717 | #341 | — | 4 | 1 | no | — |
| 718 | #339 | — | 4 | 1 | no | — |
| 719 | #339 | — | 4 | 1 | no | — |
| 720 | #335 | — | 4 | 2 | no | — |
| 721 | #335 | — | 4 | 2 | no | — |
| 722 | #334 | — | 4 | 2 | no | — |
| 723 | #334 | — | 4 | 2 | no | — |
| 724 | D4⋊C8 | — | 16 | 4 | no | — |
| 725 | D4⋊C8 | — | 16 | 4 | no | — |
| 726 | #323 | — | 32 | 2 | no | — |
| 727 | #322 | — | 4 | 2 | no | — |
| 728 | #322 | — | 8 | 1 | no | — |
| 729 | C82 | — | 2 | 1 | no | — |
| 730 | C82 | — | 2 | 1 | no | — |
| 731 | C82 | — | 2 | 1 | no | — |
| 732 | C82 | — | 4 | 2 | no | — |
| 733 | C82 | — | 4 | 2 | no | — |
| 734 | C82 | — | 8 | 1 | no | — |
| 735 | C82 | C8×D4 | 1 | 1 | yes | characteristic |
| 736 | C82 | C8×D4 | 1 | 1 | yes | characteristic |
| 737 | C2×#41 | — | 4 | 1 | no | — |
| 738 | C22×D4 | — | 8 | 2 | no | — |
| 739 | C22×D4 | — | 16 | 2 | no | — |
| 740 | C23×C4 | — | 16 | 2 | no | — |
| 741 | #135 | — | 2 | 2 | no | — |
| 742 | #135 | — | 2 | 2 | no | — |
| 743 | #135 | — | 4 | 1 | no | — |
| 744 | #135 | — | 4 | 1 | no | — |
| 745 | C2×Q16 | — | 2 | 1 | no | — |
| 746 | C2×SD16 | — | 4 | 1 | no | — |
| 747 | C2×D8 | — | 2 | 1 | no | — |
| 748 | C2×D8 | — | 4 | 4 | no | — |
| 749 | C2×D8 | — | 4 | 4 | no | — |
| 750 | C2×D8 | — | 8 | 2 | no | — |
| 751 | C2×D8 | — | 8 | 2 | no | — |
| 752 | C2×D8 | — | 8 | 2 | no | — |
| 753 | C2×D8 | — | 8 | 2 | no | — |
| 754 | C2×D8 | — | 8 | 2 | no | — |
| 755 | C2×D8 | — | 8 | 2 | no | — |
| 756 | C2×D8 | — | 8 | 2 | no | — |
| 757 | C2×D8 | — | 8 | 2 | no | — |
| 758 | C2×D8 | — | 8 | 2 | no | — |
| 759 | C2×D8 | — | 8 | 2 | no | — |
| 760 | C2×D8 | — | 16 | 4 | no | — |
| 761 | C2×D8 | — | 16 | 4 | no | — |
| 762 | C2×D8 | — | 32 | 4 | no | — |
| 763 | C2×D8 | — | 32 | 4 | no | — |
| 764 | #131 | — | 4 | 2 | no | — |
| 765 | #131 | — | 4 | 2 | no | — |
| 766 | #131 | — | 4 | 4 | no | — |
| 767 | #131 | — | 8 | 2 | no | — |
| 768 | #131 | — | 8 | 1 | no | — |
| 769 | #131 | — | 8 | 1 | no | — |
| 770 | C2×M16 | — | 4 | 1 | no | — |
| 771 | C2×M16 | — | 4 | 1 | no | — |
| 772 | C2×M16 | — | 8 | 1 | no | — |
| 773 | C2×M16 | — | 8 | 1 | no | — |
| 774 | C22×C8 | — | 2 | 2 | no | — |
| 775 | C22×C8 | — | 4 | 1 | no | — |
| 776 | C22×C8 | — | 8 | 1 | no | — |
| 777 | C22×C8 | — | 8 | 1 | no | — |
| 778 | C22×C8 | — | 32 | 4 | no | — |
| 779 | C22×C8 | #2361 | 1 | 1 | yes | characteristic |
| 780 | C22×C8 | C2×#442 | 1 | 1 | yes | characteristic |
| 781 | C22×C8 | #3274 | 1 | 1 | yes | characteristic |
| 782 | C22×C8 | #3366 | 1 | 1 | yes | characteristic |
| 783 | #127 | — | 4 | 4 | no | — |
| 784 | #127 | — | 8 | 2 | no | — |
| 785 | #127 | — | 16 | 2 | no | — |
| 786 | C4×Q8 | — | 8 | 1 | no | — |
| 787 | C4×D4 | — | 8 | 1 | no | — |
| 788 | C4×D4 | — | 16 | 2 | no | — |
| 789 | C4×D4 | — | 16 | 2 | no | — |
| 790 | C4×D4 | — | 16 | 1 | no | — |
| 791 | C4×D4 | — | 16 | 2 | no | — |
| 792 | C4×D4 | — | 16 | 2 | no | — |
| 793 | C4×D4 | — | 32 | 8 | no | — |
| 794 | #117 | — | 4 | 1 | no | — |
| 795 | #117 | — | 8 | 1 | no | — |
| 796 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 797 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 798 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 799 | C2×C22⋊C4 | — | 32 | 2 | no | — |
| 800 | C2×C42 | — | 4 | 1 | no | — |
| 801 | C2×C42 | — | 8 | 1 | no | — |
| 802 | C2×C42 | #2946 | 1 | 1 | yes | characteristic |
| 803 | C2×C42 | #3272 | 1 | 1 | yes | characteristic |
| 804 | C2×C42 | #3373 | 1 | 1 | yes | characteristic |
| 805 | Q32 | — | 2 | 1 | no | — |
| 806 | Q32 | #1580 | 1 | 2 | yes | — |
| 807 | SD32 | — | 2 | 2 | no | — |
| 808 | SD32 | — | 2 | 2 | no | — |
| 809 | D16 | — | 2 | 1 | no | — |
| 810 | D16 | — | 4 | 4 | no | — |
| 811 | D16 | — | 4 | 4 | no | — |
| 812 | D16 | — | 8 | 4 | no | — |
| 813 | D16 | — | 8 | 2 | no | — |
| 814 | D16 | — | 8 | 2 | no | — |
| 815 | D16 | — | 8 | 2 | no | — |
| 816 | D16 | — | 8 | 2 | no | — |
| 817 | D16 | — | 8 | 2 | no | — |
| 818 | D16 | — | 8 | 2 | no | — |
| 819 | D16 | — | 16 | 2 | no | — |
| 820 | D16 | — | 16 | 2 | no | — |
| 821 | D16 | — | 16 | 2 | no | — |
| 822 | D16 | #1580 | 1 | 2 | yes | — |
| 823 | M32 | — | 4 | 2 | no | — |
| 824 | M32 | — | 8 | 1 | no | — |
| 825 | M32 | — | 8 | 2 | no | — |
| 826 | M32 | — | 8 | 2 | no | — |
| 827 | M32 | — | 8 | 2 | no | — |
| 828 | M32 | — | 8 | 2 | no | — |
| 829 | M32 | — | 8 | 1 | no | — |
| 830 | M32 | — | 8 | 1 | no | — |
| 831 | M32 | — | 16 | 2 | no | — |
| 832 | M32 | — | 16 | 2 | no | — |
| 833 | M32 | — | 16 | 1 | no | — |
| 834 | M32 | — | 16 | 1 | no | — |
| 835 | M32 | — | 16 | 2 | no | — |
| 836 | M32 | — | 32 | 4 | no | — |
| 837 | C2×C16 | — | 2 | 1 | no | — |
| 838 | C2×C16 | — | 2 | 1 | no | — |
| 839 | C2×C16 | — | 2 | 1 | no | — |
| 840 | C2×C16 | — | 2 | 1 | no | — |
| 841 | C2×C16 | — | 2 | 1 | no | — |
| 842 | C2×C16 | — | 2 | 1 | no | — |
| 843 | C2×C16 | — | 2 | 1 | no | — |
| 844 | C2×C16 | — | 2 | 1 | no | — |
| 845 | C2×C16 | — | 2 | 1 | no | — |
| 846 | C2×C16 | — | 2 | 1 | no | — |
| 847 | C2×C16 | — | 2 | 1 | no | — |
| 848 | C2×C16 | — | 2 | 1 | no | — |
| 849 | C2×C16 | — | 2 | 1 | no | — |
| 850 | C2×C16 | — | 2 | 1 | no | — |
| 851 | C2×C16 | — | 2 | 1 | no | — |
| 852 | C2×C16 | — | 8 | 1 | no | — |
| 853 | C2×C16 | — | 8 | 2 | no | — |
| 854 | C2×C16 | — | 8 | 2 | no | — |
| 855 | C2×C16 | — | 8 | 1 | no | — |
| 856 | C2×C16 | — | 8 | 2 | no | — |
| 857 | C2×C16 | — | 16 | 2 | no | — |
| 858 | C2×C16 | — | 16 | 1 | no | — |
| 859 | C2×C16 | — | 16 | 2 | no | — |
| 860 | C2×C16 | — | 32 | 4 | no | — |
| 861 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 862 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 863 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 864 | C2×C16 | #1580 | 1 | 1 | yes | characteristic |
| 865 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 866 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 867 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 868 | C2×C16 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 869 | C2×C16 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 870 | C2×C16 | #2935 | 1 | 1 | yes | characteristic |
| 871 | C2×C16 | C2×#442 | 1 | 1 | yes | characteristic |
| 872 | C2×C16 | #2952 | 1 | 1 | yes | characteristic |
| 873 | C2×C16 | C2×#444 | 1 | 1 | yes | characteristic |
| 874 | C2×C16 | #2957 | 1 | 1 | yes | characteristic |
| 875 | C2×C16 | #2988 | 1 | 1 | yes | characteristic |
| 876 | C2×C16 | #2994 | 1 | 1 | yes | characteristic |
| 877 | C2×C16 | #3345 | 1 | 2 | yes | — |
| 878 | #108 | — | 2 | 2 | no | — |
| 879 | #108 | — | 2 | 2 | no | — |
| 880 | #108 | — | 4 | 1 | no | — |
| 881 | #108 | — | 4 | 1 | no | — |
| 882 | #107 | — | 4 | 1 | no | — |
| 883 | #107 | — | 8 | 2 | no | — |
| 884 | #107 | — | 8 | 2 | no | — |
| 885 | #107 | — | 8 | 2 | no | — |
| 886 | #107 | — | 8 | 2 | no | — |
| 887 | #107 | — | 32 | 4 | no | — |
| 888 | #106 | — | 4 | 1 | no | — |
| 889 | C4⋊C8 | — | 8 | 2 | no | — |
| 890 | C4⋊C8 | — | 8 | 2 | no | — |
| 891 | #104 | — | 4 | 2 | no | — |
| 892 | #104 | — | 4 | 2 | no | — |
| 893 | #104 | — | 4 | 4 | no | — |
| 894 | #103 | — | 8 | 1 | no | — |
| 895 | #102 | — | 8 | 1 | no | — |
| 896 | #102 | — | 16 | 2 | no | — |
| 897 | #102 | — | 16 | 2 | no | — |
| 898 | #102 | — | 16 | 2 | no | — |
| 899 | #102 | — | 16 | 2 | no | — |
| 900 | #102 | — | 32 | 8 | no | — |
| 901 | C22⋊C8 | — | 8 | 2 | no | — |
| 902 | C22⋊C8 | — | 8 | 2 | no | — |
| 903 | C22⋊C8 | — | 32 | 4 | no | — |
| 904 | #97 | — | 8 | 1 | no | — |
| 905 | #97 | — | 8 | 1 | no | — |
| 906 | #97 | — | 8 | 1 | no | — |
| 907 | C4×C8 | — | 2 | 2 | no | — |
| 908 | C4×C8 | — | 2 | 1 | no | — |
| 909 | C4×C8 | — | 2 | 1 | no | — |
| 910 | C4×C8 | — | 2 | 1 | no | — |
| 911 | C4×C8 | — | 2 | 1 | no | — |
| 912 | C4×C8 | — | 2 | 1 | no | — |
| 913 | C4×C8 | — | 2 | 1 | no | — |
| 914 | C4×C8 | — | 2 | 1 | no | — |
| 915 | C4×C8 | — | 2 | 1 | no | — |
| 916 | C4×C8 | — | 4 | 1 | no | — |
| 917 | C4×C8 | — | 4 | 1 | no | — |
| 918 | C4×C8 | — | 4 | 1 | no | — |
| 919 | C4×C8 | — | 8 | 1 | no | — |
| 920 | C4×C8 | — | 8 | 2 | no | — |
| 921 | C4×C8 | — | 8 | 1 | no | — |
| 922 | C4×C8 | — | 8 | 4 | no | — |
| 923 | C4×C8 | — | 8 | 1 | no | — |
| 924 | C4×C8 | — | 8 | 2 | no | — |
| 925 | C4×C8 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 926 | C4×C8 | #2933 | 1 | 1 | yes | characteristic |
| 927 | C4×C8 | C2×#444 | 1 | 1 | yes | characteristic |
| 928 | C4×C8 | #2956 | 1 | 1 | yes | characteristic |
| 929 | C4×C8 | #3265 | 1 | 2 | yes | — |
| 930 | C4×C8 | #3288 | 1 | 2 | yes | — |
| 931 | C32 | — | 4 | 4 | no | — |
| 932 | C32 | — | 8 | 2 | no | — |
| 933 | C32 | — | 8 | 2 | no | — |
| 934 | C32 | — | 8 | 2 | no | — |
| 935 | C24 | — | 16 | 2 | no | — |
| 936 | #41 | — | 4 | 2 | no | — |
| 937 | #41 | — | 4 | 2 | no | — |
| 938 | #41 | — | 8 | 1 | no | — |
| 939 | #41 | — | 8 | 1 | no | — |
| 940 | C2×Q8 | — | 4 | 1 | no | — |
| 941 | C2×D4 | — | 4 | 1 | no | — |
| 942 | C2×D4 | — | 8 | 1 | no | — |
| 943 | C2×D4 | — | 8 | 4 | no | — |
| 944 | C2×D4 | — | 16 | 4 | no | — |
| 945 | C2×D4 | — | 16 | 2 | no | — |
| 946 | C2×D4 | — | 16 | 2 | no | — |
| 947 | C2×D4 | — | 16 | 2 | no | — |
| 948 | C2×D4 | — | 16 | 2 | no | — |
| 949 | C2×D4 | — | 16 | 2 | no | — |
| 950 | C2×D4 | — | 32 | 2 | no | — |
| 951 | C2×D4 | — | 32 | 4 | no | — |
| 952 | C2×D4 | — | 32 | 4 | no | — |
| 953 | C22×C4 | — | 2 | 1 | no | — |
| 954 | C22×C4 | — | 2 | 1 | no | — |
| 955 | C22×C4 | — | 2 | 1 | no | — |
| 956 | C22×C4 | — | 8 | 1 | no | — |
| 957 | C22×C4 | — | 16 | 1 | no | — |
| 958 | C22×C4 | — | 16 | 2 | no | — |
| 959 | C22×C4 | — | 32 | 2 | no | — |
| 960 | C22×C4 | — | 32 | 2 | no | — |
| 961 | C22×C4 | — | 64 | 4 | no | — |
| 962 | C22×C4 | #23001 | 1 | 1 | yes | characteristic |
| 963 | Q16 | — | 2 | 2 | no | — |
| 964 | Q16 | — | 4 | 1 | no | — |
| 965 | SD16 | — | 4 | 2 | no | — |
| 966 | SD16 | — | 4 | 2 | no | — |
| 967 | D8 | — | 2 | 2 | no | — |
| 968 | D8 | — | 4 | 1 | no | — |
| 969 | D8 | — | 8 | 4 | no | — |
| 970 | D8 | — | 8 | 4 | no | — |
| 971 | D8 | — | 8 | 4 | no | — |
| 972 | D8 | — | 8 | 4 | no | — |
| 973 | D8 | — | 16 | 2 | no | — |
| 974 | D8 | — | 16 | 2 | no | — |
| 975 | D8 | — | 16 | 2 | no | — |
| 976 | D8 | — | 16 | 2 | no | — |
| 977 | D8 | — | 32 | 8 | no | — |
| 978 | D8 | — | 32 | 8 | no | — |
| 979 | M16 | — | 4 | 2 | no | — |
| 980 | M16 | — | 4 | 2 | no | — |
| 981 | M16 | — | 8 | 4 | no | — |
| 982 | M16 | — | 8 | 1 | no | — |
| 983 | M16 | — | 8 | 1 | no | — |
| 984 | M16 | — | 8 | 2 | no | — |
| 985 | M16 | — | 8 | 2 | no | — |
| 986 | C2×C8 | — | 2 | 2 | no | — |
| 987 | C2×C8 | — | 2 | 1 | no | — |
| 988 | C2×C8 | — | 2 | 1 | no | — |
| 989 | C2×C8 | — | 2 | 2 | no | — |
| 990 | C2×C8 | — | 2 | 1 | no | — |
| 991 | C2×C8 | — | 2 | 1 | no | — |
| 992 | C2×C8 | — | 2 | 1 | no | — |
| 993 | C2×C8 | — | 4 | 4 | no | — |
| 994 | C2×C8 | — | 8 | 4 | no | — |
| 995 | C2×C8 | — | 8 | 1 | no | — |
| 996 | C2×C8 | — | 8 | 1 | no | — |
| 997 | C2×C8 | — | 8 | 2 | no | — |
| 998 | C2×C8 | — | 8 | 2 | no | — |
| 999 | C2×C8 | — | 8 | 1 | no | — |
| 1000 | C2×C8 | — | 8 | 2 | no | — |
| 1001 | C2×C8 | — | 16 | 2 | no | — |
| 1002 | C2×C8 | — | 16 | 2 | no | — |
| 1003 | C2×C8 | — | 128 | 4 | no | — |
| 1004 | C2×C8 | C2×#1580 | 1 | 1 | yes | characteristic |
| 1005 | C2×C8 | #18001 | 1 | 1 | yes | characteristic |
| 1006 | C2×C8 | #20192 | 1 | 2 | yes | — |
| 1007 | C2×C8 | #22985 | 1 | 1 | yes | characteristic |
| 1008 | C2×C8 | #23016 | 1 | 1 | yes | characteristic |
| 1009 | C2×C8 | #23019 | 1 | 1 | yes | characteristic |
| 1010 | C2×C8 | #23029 | 1 | 1 | yes | characteristic |
| 1011 | C2×C8 | #23043 | 1 | 1 | yes | characteristic |
| 1012 | C2×C8 | #23048 | 1 | 1 | yes | characteristic |
| 1013 | C2×C8 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1014 | C2×C8 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1015 | C2×C8 | #33469 | 1 | 1 | yes | characteristic |
| 1016 | C2×C8 | #33471 | 1 | 1 | yes | characteristic |
| 1017 | C4⋊C4 | — | 8 | 1 | no | — |
| 1018 | C4⋊C4 | — | 16 | 1 | no | — |
| 1019 | C4⋊C4 | — | 16 | 2 | no | — |
| 1020 | C4⋊C4 | — | 16 | 2 | no | — |
| 1021 | C4⋊C4 | — | 32 | 4 | no | — |
| 1022 | C22⋊C4 | — | 8 | 1 | no | — |
| 1023 | C22⋊C4 | — | 16 | 1 | no | — |
| 1024 | C22⋊C4 | — | 32 | 2 | no | — |
| 1025 | C22⋊C4 | — | 32 | 2 | no | — |
| 1026 | C22⋊C4 | — | 64 | 4 | no | — |
| 1027 | C42 | — | 2 | 1 | no | — |
| 1028 | C42 | — | 2 | 1 | no | — |
| 1029 | C42 | — | 2 | 1 | no | — |
| 1030 | C42 | — | 2 | 1 | no | — |
| 1031 | C42 | — | 8 | 2 | no | — |
| 1032 | C42 | — | 8 | 1 | no | — |
| 1033 | C42 | — | 16 | 1 | no | — |
| 1034 | C42 | #17852 | 1 | 1 | yes | characteristic |
| 1035 | C42 | #18022 | 1 | 1 | yes | characteristic |
| 1036 | C42 | #20195 | 1 | 2 | yes | — |
| 1037 | C16 | — | 2 | 1 | no | — |
| 1038 | C16 | — | 2 | 1 | no | — |
| 1039 | C16 | — | 2 | 1 | no | — |
| 1040 | C16 | — | 2 | 1 | no | — |
| 1041 | C16 | — | 2 | 2 | no | — |
| 1042 | C16 | — | 4 | 1 | no | — |
| 1043 | C16 | — | 4 | 1 | no | — |
| 1044 | C16 | — | 4 | 1 | no | — |
| 1045 | C16 | — | 8 | 2 | no | — |
| 1046 | C16 | — | 16 | 2 | no | — |
| 1047 | C16 | — | 16 | 1 | no | — |
| 1048 | C16 | — | 32 | 2 | no | — |
| 1049 | C16 | — | 32 | 1 | no | — |
| 1050 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 1051 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 1052 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 1053 | C16 | #12067 | 1 | 1 | yes | characteristic |
| 1054 | C16 | C2×#1580 | 1 | 1 | yes | characteristic |
| 1055 | C16 | #17858 | 1 | 1 | yes | characteristic |
| 1056 | C16 | #18073 | 1 | 1 | yes | characteristic |
| 1057 | C16 | #18093 | 1 | 1 | yes | characteristic |
| 1058 | C23 | — | 8 | 1 | no | — |
| 1059 | C23 | — | 16 | 4 | no | — |
| 1060 | C23 | — | 32 | 2 | no | — |
| 1061 | C23 | — | 32 | 2 | no | — |
| 1062 | C23 | — | 64 | 2 | no | — |
| 1063 | C23 | — | 64 | 2 | no | — |
| 1064 | C23 | #498342 | 1 | 1 | yes | characteristic |
| 1065 | Q8 | — | 4 | 2 | no | — |
| 1066 | Q8 | — | 8 | 1 | no | — |
| 1067 | D4 | — | 4 | 2 | no | — |
| 1068 | D4 | — | 8 | 2 | no | — |
| 1069 | D4 | — | 8 | 2 | no | — |
| 1070 | D4 | — | 8 | 1 | no | — |
| 1071 | D4 | — | 16 | 4 | no | — |
| 1072 | D4 | — | 16 | 4 | no | — |
| 1073 | D4 | — | 32 | 8 | no | — |
| 1074 | D4 | — | 32 | 2 | no | — |
| 1075 | D4 | — | 32 | 2 | no | — |
| 1076 | D4 | — | 64 | 4 | no | — |
| 1077 | C2×C4 | — | 2 | 1 | no | — |
| 1078 | C2×C4 | — | 2 | 1 | no | — |
| 1079 | C2×C4 | — | 2 | 2 | no | — |
| 1080 | C2×C4 | — | 4 | 2 | no | — |
| 1081 | C2×C4 | — | 4 | 1 | no | — |
| 1082 | C2×C4 | — | 8 | 1 | no | — |
| 1083 | C2×C4 | — | 8 | 1 | no | — |
| 1084 | C2×C4 | — | 8 | 2 | no | — |
| 1085 | C2×C4 | — | 8 | 2 | no | — |
| 1086 | C2×C4 | — | 8 | 1 | no | — |
| 1087 | C2×C4 | — | 16 | 1 | no | — |
| 1088 | C2×C4 | — | 32 | 2 | no | — |
| 1089 | C2×C4 | — | 64 | 4 | no | — |
| 1090 | C2×C4 | — | 64 | 1 | no | — |
| 1091 | C2×C4 | — | 64 | 2 | no | — |
| 1092 | C2×C4 | — | 128 | 2 | no | — |
| 1093 | C2×C4 | #229060 | 1 | 1 | yes | characteristic |
| 1094 | C2×C4 | #229236 | 1 | 1 | yes | characteristic |
| 1095 | C2×C4 | #229439 | 1 | 1 | yes | characteristic |
| 1096 | C2×C4 | #498331 | 1 | 1 | yes | characteristic |
| 1097 | C2×C4 | #498334 | 1 | 1 | yes | characteristic |
| 1098 | C2×C4 | #498338 | 1 | 1 | yes | characteristic |
| 1099 | C8 | — | 2 | 4 | no | — |
| 1100 | C8 | — | 2 | 2 | no | — |
| 1101 | C8 | — | 4 | 2 | no | — |
| 1102 | C8 | — | 4 | 1 | no | — |
| 1103 | C8 | — | 8 | 2 | no | — |
| 1104 | C8 | — | 8 | 2 | no | — |
| 1105 | C8 | — | 16 | 1 | no | — |
| 1106 | C8 | — | 32 | 2 | no | — |
| 1107 | C8 | — | 32 | 2 | no | — |
| 1108 | C8 | #229109 | 1 | 1 | yes | characteristic |
| 1109 | C8 | #229186 | 1 | 1 | yes | characteristic |
| 1110 | C8 | #229569 | 1 | 1 | yes | characteristic |
| 1111 | C8 | #229609 | 1 | 1 | yes | characteristic |
| 1112 | C8 | C2×#12067 | 1 | 1 | yes | characteristic |
| 1113 | C8 | #483592 | 1 | 1 | yes | characteristic |
| 1114 | C8 | #484053 | 1 | 1 | yes | characteristic |
| 1115 | C8 | #484058 | 1 | 1 | yes | characteristic |
| 1116 | C22 | — | 4 | 1 | no | — |
| 1117 | C22 | — | 8 | 2 | no | — |
| 1118 | C22 | — | 32 | 1 | no | — |
| 1119 | C22 | — | 32 | 4 | no | — |
| 1120 | C22 | — | 64 | 4 | no | — |
| 1121 | C22 | — | 64 | 2 | no | — |
| 1122 | C22 | — | 64 | 2 | no | — |
| 1123 | C22 | — | 128 | 2 | no | — |
| 1124 | C22 | #72216436 | 1 | 1 | yes | characteristic |
| 1125 | C22 | #72227062 | 1 | 1 | yes | characteristic |
| 1126 | C22 | #72227064 | 1 | 1 | yes | characteristic |
| 1127 | C4 | — | 2 | 2 | no | — |
| 1128 | C4 | — | 4 | 1 | no | — |
| 1129 | C4 | — | 4 | 2 | no | — |
| 1130 | C4 | — | 8 | 1 | no | — |
| 1131 | C4 | — | 8 | 2 | no | — |
| 1132 | C4 | — | 32 | 1 | no | — |
| 1133 | C4 | — | 64 | 2 | no | — |
| 1134 | C4 | #72216483 | 1 | 1 | yes | characteristic |
| 1135 | C4 | #72227052 | 1 | 1 | yes | characteristic |
| 1136 | C4 | #72227061 | 1 | 1 | yes | characteristic |
| 1137 | C4 | #72227063 | 1 | 1 | yes | characteristic |
| 1138 | C2 | — | 2 | 1 | no | — |
| 1139 | C2 | — | 2 | 1 | no | — |
| 1140 | C2 | — | 2 | 1 | no | — |
| 1141 | C2 | — | 16 | 2 | no | — |
| 1142 | C2 | — | 64 | 4 | no | — |
| 1143 | C2 | #72227065 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72227065 |
| commutator | C4×C16 | C23×C8 |
| Frattini, cosocle | C4×#346 | C24 |
| prime radical | C2×#151634 | C4 |
| LCS | G ▷ C4×C16 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C42×C8 ◁ #72216215 ◁ G | |
| LECS | G ▷ C4×#346 ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72227074 | C2 | semidirect |
| 2. #72227072 | C2 | semidirect |
| 5. #72227069 | C2 | semidirect |
| 6. #72227068 | C2 | semidirect |
| 7. #72225529 | C2 | semidirect |
| 10. #72225421 | C2 | semidirect |
| 16. #72225351 | C2 | semidirect |
| 19. #72225320 | C2 | semidirect |
| 22. #72225179 | C2 | semidirect |
| 31. #72216431 | C2 | semidirect |
| 76. #151634 | C8 | semidirect |
| 77. #151634 | C8 | semidirect |
| 157. #13692 | C2×C8 | semidirect |
| 216. #12046 | C2×C8 | semidirect |
| 217. #12046 | C2×C8 | semidirect |
| 259. #7459 | C2×C8 | semidirect |
| 260. #7459 | C2×C8 | semidirect |
| 263. #7448 | C2×C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72227074 | 2 |
| #72227072 | 2 |
| #72227069 | 2 |
| #72227068 | 2 |
| #72225529 | 2 |
| #72225421 | 2 |
| #72225351 | 2 |
| #72225320 | 2 |
| #72225179 | 2 |
| #72216431 | 2 |
| #72216277 | 2 |