Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
2111 conjugacy classes of subgroups.
The subgroup lattice has 1375 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #6444562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #498860 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C2×#13215 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #494924 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#13030 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #416373 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #148744 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #148566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #148125 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #148105 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #147953 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #147947 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #147938 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #147130 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #146761 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#3414 | C22 | 1 | 1 | yes | characteristic |
| 17 | C22×#509 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#3155 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#2952 | C22 | 1 | 1 | yes | characteristic |
| 20 | #35531 | — | 2 | 1 | no | — |
| 21 | C2×#2148 | C22 | 1 | 1 | yes | characteristic |
| 22 | C22×#361 | C22 | 1 | 1 | yes | characteristic |
| 23 | C22×#361 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#2145 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×#360 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#2143 | C22 | 1 | 1 | yes | characteristic |
| 27 | #33380 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#2140 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×#2110 | C22 | 1 | 1 | yes | characteristic |
| 30 | #26264 | — | 2 | 2 | no | — |
| 31 | #26263 | — | 2 | 2 | no | — |
| 32 | #26257 | — | 2 | 4 | no | — |
| 33 | #23546 | — | 2 | 1 | no | — |
| 34 | #23509 | — | 2 | 1 | no | — |
| 35 | C2×#1976 | C22 | 1 | 1 | yes | characteristic |
| 36 | #21240 | C22 | 1 | 1 | yes | characteristic |
| 37 | C2×#1975 | C22 | 1 | 1 | yes | characteristic |
| 38 | #21233 | C22 | 1 | 1 | yes | characteristic |
| 39 | #21228 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#1972 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#1946 | C22 | 1 | 1 | yes | characteristic |
| 42 | #21155 | C22 | 1 | 1 | yes | characteristic |
| 43 | #20932 | — | 2 | 1 | no | — |
| 44 | C2×#1833 | C22 | 1 | 1 | yes | characteristic |
| 45 | #20438 | C22 | 1 | 1 | yes | characteristic |
| 46 | #13332 | — | 2 | 2 | no | — |
| 47 | #13331 | — | 2 | 2 | no | — |
| 48 | #13215 | — | 2 | 4 | no | — |
| 49 | #13153 | — | 2 | 4 | no | — |
| 50 | #13030 | — | 2 | 4 | no | — |
| 51 | #12569 | C22 | 1 | 1 | yes | characteristic |
| 52 | #12567 | C22 | 1 | 1 | yes | characteristic |
| 53 | C2×#1386 | C22 | 1 | 1 | yes | characteristic |
| 54 | C2×#1383 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#1383 | C22 | 1 | 1 | yes | characteristic |
| 56 | #12561 | C22 | 1 | 1 | yes | characteristic |
| 57 | C2×#1378 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#1378 | C22 | 1 | 1 | yes | characteristic |
| 59 | #12549 | C22 | 1 | 1 | yes | characteristic |
| 60 | C2×#1375 | C22 | 1 | 1 | yes | characteristic |
| 61 | C2×#1375 | C22 | 1 | 1 | yes | characteristic |
| 62 | #11088 | — | 2 | 1 | no | — |
| 63 | #11084 | — | 2 | 1 | no | — |
| 64 | #11081 | — | 2 | 1 | no | — |
| 65 | #11080 | — | 2 | 1 | no | — |
| 66 | #10873 | C22 | 1 | 1 | yes | characteristic |
| 67 | C22×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 68 | C22×#135 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×#135 | C23 | 1 | 1 | yes | characteristic |
| 70 | C23×D8 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×#535 | — | 2 | 1 | no | — |
| 72 | C2×#520 | — | 2 | 1 | no | — |
| 73 | #3414 | — | 2 | 2 | no | — |
| 74 | #3414 | — | 2 | 2 | no | — |
| 75 | #3414 | — | 2 | 2 | no | — |
| 76 | #3414 | — | 4 | 1 | no | — |
| 77 | C2×#510 | — | 2 | 1 | no | — |
| 78 | C2×#510 | — | 2 | 1 | no | — |
| 79 | C2×#509 | — | 2 | 2 | no | — |
| 80 | C2×#509 | — | 2 | 1 | no | — |
| 81 | C2×#509 | — | 2 | 2 | no | — |
| 82 | C2×#509 | — | 2 | 1 | no | — |
| 83 | C2×#509 | — | 4 | 1 | no | — |
| 84 | C2×#509 | — | 4 | 1 | no | — |
| 85 | C2×#509 | — | 4 | 1 | no | — |
| 86 | C2×#509 | — | 4 | 1 | no | — |
| 87 | C2×#508 | — | 4 | 1 | no | — |
| 88 | C22×SD32 | — | 2 | 1 | no | — |
| 89 | C22×D16 | — | 2 | 1 | no | — |
| 90 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 91 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 92 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 93 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 94 | #3155 | — | 2 | 2 | no | — |
| 95 | #3155 | — | 2 | 2 | no | — |
| 96 | #3155 | — | 4 | 1 | no | — |
| 97 | #3155 | — | 4 | 1 | no | — |
| 98 | C2×#496 | — | 2 | 2 | no | — |
| 99 | C2×#495 | D4 | 1 | 2 | yes | — |
| 100 | C2×#493 | D4 | 1 | 2 | yes | — |
| 101 | #2952 | — | 2 | 2 | no | — |
| 102 | #2952 | — | 2 | 2 | no | — |
| 103 | #2952 | — | 4 | 1 | no | — |
| 104 | #2952 | — | 4 | 1 | no | — |
| 105 | C2×#442 | — | 2 | 1 | no | — |
| 106 | C2×#441 | — | 2 | 1 | no | — |
| 107 | C2×C4×SD16 | — | 2 | 2 | no | — |
| 108 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 109 | C22×#108 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 112 | C22×#106 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×#424 | — | 2 | 1 | no | — |
| 114 | C2×#423 | D4 | 1 | 1 | yes | characteristic |
| 115 | C2×#421 | — | 2 | 1 | no | — |
| 116 | C2×#421 | — | 2 | 1 | no | — |
| 117 | C22×#104 | — | 2 | 1 | no | — |
| 118 | C2×#417 | — | 2 | 1 | no | — |
| 119 | C2×#418 | — | 2 | 1 | no | — |
| 120 | C2×#416 | — | 2 | 1 | no | — |
| 121 | C22×#102 | — | 2 | 1 | no | — |
| 122 | C2×#410 | — | 2 | 1 | no | — |
| 123 | #2879 | — | 2 | 1 | no | — |
| 124 | C2×#408 | — | 2 | 1 | no | — |
| 125 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 126 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 127 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 128 | #2504 | — | 4 | 1 | no | — |
| 129 | #2501 | — | 4 | 1 | no | — |
| 130 | #2500 | — | 4 | 1 | no | — |
| 131 | #2500 | — | 4 | 1 | no | — |
| 132 | #2448 | — | 2 | 4 | no | — |
| 133 | #2445 | — | 2 | 4 | no | — |
| 134 | #2418 | — | 4 | 4 | no | — |
| 135 | #2317 | — | 2 | 1 | no | — |
| 136 | #2309 | — | 2 | 1 | no | — |
| 137 | #2297 | — | 2 | 1 | no | — |
| 138 | C2×#390 | — | 2 | 1 | no | — |
| 139 | #2285 | D4 | 1 | 1 | yes | characteristic |
| 140 | #2148 | — | 2 | 2 | no | — |
| 141 | #2148 | — | 4 | 1 | no | — |
| 142 | C2×#362 | — | 2 | 1 | no | — |
| 143 | C2×#361 | — | 2 | 2 | no | — |
| 144 | C2×#361 | — | 2 | 2 | no | — |
| 145 | C2×#361 | — | 2 | 1 | no | — |
| 146 | C2×#361 | — | 2 | 2 | no | — |
| 147 | C2×#361 | — | 4 | 1 | no | — |
| 148 | C2×#361 | — | 4 | 1 | no | — |
| 149 | C2×#361 | — | 4 | 1 | no | — |
| 150 | #2145 | — | 4 | 1 | no | — |
| 151 | #2145 | D4 | 1 | 4 | yes | — |
| 152 | C2×#360 | — | 2 | 2 | no | — |
| 153 | C2×#360 | — | 2 | 2 | no | — |
| 154 | C2×#360 | — | 4 | 1 | no | — |
| 155 | C2×#360 | — | 4 | 1 | no | — |
| 156 | #2143 | — | 2 | 2 | no | — |
| 157 | #2143 | — | 4 | 1 | no | — |
| 158 | C2×#359 | — | 2 | 2 | no | — |
| 159 | #2141 | — | 2 | 1 | no | — |
| 160 | #2140 | — | 2 | 2 | no | — |
| 161 | #2140 | — | 2 | 1 | no | — |
| 162 | #2140 | — | 4 | 1 | no | — |
| 163 | #2139 | — | 2 | 2 | no | — |
| 164 | #2138 | — | 2 | 2 | no | — |
| 165 | C2×#357 | — | 2 | 2 | no | — |
| 166 | #2110 | — | 2 | 2 | no | — |
| 167 | #2110 | — | 4 | 1 | no | — |
| 168 | C2×#347 | — | 2 | 2 | no | — |
| 169 | #2055 | — | 2 | 4 | no | — |
| 170 | #2054 | — | 2 | 4 | no | — |
| 171 | #2042 | — | 2 | 4 | no | — |
| 172 | #2041 | — | 2 | 4 | no | — |
| 173 | #1976 | — | 2 | 2 | no | — |
| 174 | #1976 | — | 4 | 1 | no | — |
| 175 | #1975 | — | 2 | 2 | no | — |
| 176 | #1975 | — | 4 | 1 | no | — |
| 177 | #1975 | — | 4 | 1 | no | — |
| 178 | #1974 | — | 2 | 2 | no | — |
| 179 | #1973 | — | 2 | 2 | no | — |
| 180 | #1972 | — | 2 | 2 | no | — |
| 181 | #1972 | — | 2 | 2 | no | — |
| 182 | #1972 | — | 2 | 2 | no | — |
| 183 | #1972 | — | 2 | 1 | no | — |
| 184 | #1971 | — | 2 | 1 | no | — |
| 185 | #1970 | — | 2 | 2 | no | — |
| 186 | #1946 | — | 4 | 1 | no | — |
| 187 | #1946 | — | 4 | 1 | no | — |
| 188 | #1943 | D4 | 1 | 4 | yes | — |
| 189 | #1941 | — | 2 | 2 | no | — |
| 190 | #1880 | — | 2 | 4 | no | — |
| 191 | #1879 | — | 2 | 4 | no | — |
| 192 | #1833 | — | 2 | 2 | no | — |
| 193 | #1833 | — | 4 | 1 | no | — |
| 194 | #1771 | — | 2 | 2 | no | — |
| 195 | #1771 | — | 2 | 2 | no | — |
| 196 | C2×#344 | — | 2 | 1 | no | — |
| 197 | C2×#344 | — | 2 | 1 | no | — |
| 198 | #1738 | — | 2 | 1 | no | — |
| 199 | #1736 | — | 2 | 1 | no | — |
| 200 | C2×#339 | — | 2 | 1 | no | — |
| 201 | C2×H(3,ℤ/4) | — | 2 | 1 | no | — |
| 202 | #1729 | D4 | 1 | 1 | yes | characteristic |
| 203 | #1729 | D4 | 1 | 1 | yes | characteristic |
| 204 | #1387 | — | 2 | 2 | no | — |
| 205 | #1386 | — | 2 | 2 | no | — |
| 206 | #1386 | — | 4 | 1 | no | — |
| 207 | #1383 | — | 2 | 2 | no | — |
| 208 | #1383 | — | 4 | 1 | no | — |
| 209 | #1382 | — | 4 | 1 | no | — |
| 210 | #1378 | — | 2 | 2 | no | — |
| 211 | #1378 | — | 4 | 1 | no | — |
| 212 | #1376 | — | 2 | 2 | no | — |
| 213 | #1375 | — | 2 | 2 | no | — |
| 214 | #1375 | — | 2 | 2 | no | — |
| 215 | C22×#41 | — | 2 | 1 | no | — |
| 216 | C22×#41 | — | 2 | 1 | no | — |
| 217 | C23×D4 | — | 2 | 1 | no | — |
| 218 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 219 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 220 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 221 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 222 | C2×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 223 | C2×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 224 | C2×#135 | — | 2 | 1 | no | — |
| 225 | C2×#135 | — | 2 | 1 | no | — |
| 226 | C2×#135 | — | 2 | 1 | no | — |
| 227 | C2×#135 | — | 2 | 1 | no | — |
| 228 | C2×#135 | — | 2 | 1 | no | — |
| 229 | C2×#135 | — | 2 | 1 | no | — |
| 230 | C2×#135 | — | 2 | 1 | no | — |
| 231 | C2×#135 | — | 2 | 1 | no | — |
| 232 | C2×#135 | — | 2 | 1 | no | — |
| 233 | C2×#135 | — | 2 | 1 | no | — |
| 234 | C2×#135 | — | 2 | 1 | no | — |
| 235 | C2×#135 | — | 2 | 1 | no | — |
| 236 | C2×#135 | — | 2 | 1 | no | — |
| 237 | C2×#135 | — | 2 | 1 | no | — |
| 238 | C2×#135 | — | 2 | 1 | no | — |
| 239 | C2×#135 | — | 2 | 1 | no | — |
| 240 | C2×#135 | — | 2 | 1 | no | — |
| 241 | C2×#135 | — | 2 | 1 | no | — |
| 242 | C2×#135 | — | 2 | 1 | no | — |
| 243 | C2×#135 | — | 2 | 1 | no | — |
| 244 | C2×#135 | — | 2 | 1 | no | — |
| 245 | C2×#135 | — | 2 | 1 | no | — |
| 246 | C2×#135 | C2×D4 | 1 | 2 | yes | — |
| 247 | C2×#135 | #41 | 1 | 2 | yes | — |
| 248 | C22×Q16 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C22×Q16 | #41 | 1 | 1 | yes | characteristic |
| 250 | C22×SD16 | — | 2 | 2 | no | — |
| 251 | C22×SD16 | — | 2 | 1 | no | — |
| 252 | C22×SD16 | — | 2 | 1 | no | — |
| 253 | C22×D8 | — | 2 | 2 | no | — |
| 254 | C22×D8 | — | 2 | 1 | no | — |
| 255 | C22×D8 | — | 2 | 1 | no | — |
| 256 | C22×D8 | — | 2 | 1 | no | — |
| 257 | C22×D8 | — | 2 | 1 | no | — |
| 258 | C22×D8 | — | 2 | 1 | no | — |
| 259 | C22×D8 | — | 2 | 1 | no | — |
| 260 | C22×D8 | — | 2 | 1 | no | — |
| 261 | C22×D8 | — | 2 | 1 | no | — |
| 262 | C22×D8 | — | 2 | 1 | no | — |
| 263 | C22×D8 | — | 2 | 1 | no | — |
| 264 | C22×D8 | — | 2 | 1 | no | — |
| 265 | C22×D8 | — | 2 | 1 | no | — |
| 266 | C22×D8 | — | 2 | 1 | no | — |
| 267 | C22×D8 | C2×D4 | 1 | 2 | yes | — |
| 268 | C22×D8 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C22×D8 | #41 | 1 | 1 | yes | characteristic |
| 270 | C22×M16 | — | 2 | 1 | no | — |
| 271 | C22×M16 | — | 2 | 1 | no | — |
| 272 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 275 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 276 | #535 | — | 4 | 2 | no | — |
| 277 | #535 | — | 4 | 2 | no | — |
| 278 | #535 | — | 8 | 1 | no | — |
| 279 | #535 | — | 8 | 1 | no | — |
| 280 | C2×#127 | — | 2 | 2 | no | — |
| 281 | C2×#124 | — | 2 | 2 | no | — |
| 282 | C2×#123 | — | 4 | 4 | no | — |
| 283 | C2×#121 | — | 4 | 1 | no | — |
| 284 | C2×#121 | — | 4 | 1 | no | — |
| 285 | C2×#120 | — | 4 | 2 | no | — |
| 286 | #520 | — | 4 | 2 | no | — |
| 287 | #520 | — | 4 | 2 | no | — |
| 288 | #520 | — | 8 | 1 | no | — |
| 289 | #520 | — | 8 | 1 | no | — |
| 290 | C2×C4×Q8 | — | 2 | 2 | no | — |
| 291 | C2×C4×D4 | — | 2 | 2 | no | — |
| 292 | C2×C4×D4 | — | 4 | 2 | no | — |
| 293 | C2×#117 | — | 2 | 1 | no | — |
| 294 | C2×#117 | — | 2 | 1 | no | — |
| 295 | C2×#117 | — | 4 | 1 | no | — |
| 296 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 297 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 299 | C22×C4⋊C4 | — | 4 | 1 | no | — |
| 300 | C22×C22⋊C4 | — | 4 | 2 | no | — |
| 301 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | #510 | — | 2 | 4 | no | — |
| 303 | #510 | — | 4 | 2 | no | — |
| 304 | #510 | — | 4 | 2 | no | — |
| 305 | #510 | — | 4 | 2 | no | — |
| 306 | #509 | — | 2 | 4 | no | — |
| 307 | #509 | — | 4 | 4 | no | — |
| 308 | #509 | — | 4 | 2 | no | — |
| 309 | #509 | — | 4 | 4 | no | — |
| 310 | #509 | — | 4 | 2 | no | — |
| 311 | #509 | — | 4 | 4 | no | — |
| 312 | #509 | — | 4 | 4 | no | — |
| 313 | #509 | — | 4 | 2 | no | — |
| 314 | #508 | — | 4 | 4 | no | — |
| 315 | #508 | — | 4 | 4 | no | — |
| 316 | C2×Q32 | — | 4 | 1 | no | — |
| 317 | C2×SD32 | — | 4 | 2 | no | — |
| 318 | C2×SD32 | — | 4 | 2 | no | — |
| 319 | C2×SD32 | — | 4 | 1 | no | — |
| 320 | C2×SD32 | — | 4 | 1 | no | — |
| 321 | C2×SD32 | — | 4 | 2 | no | — |
| 322 | C2×D16 | — | 4 | 2 | no | — |
| 323 | C2×D16 | — | 4 | 2 | no | — |
| 324 | C2×D16 | — | 4 | 1 | no | — |
| 325 | C2×D16 | — | 4 | 2 | no | — |
| 326 | C2×M32 | — | 2 | 1 | no | — |
| 327 | C2×M32 | — | 2 | 1 | no | — |
| 328 | C2×M32 | — | 2 | 1 | no | — |
| 329 | C2×M32 | — | 2 | 1 | no | — |
| 330 | C2×M32 | — | 2 | 1 | no | — |
| 331 | C2×M32 | — | 2 | 1 | no | — |
| 332 | C2×M32 | — | 2 | 1 | no | — |
| 333 | C2×M32 | — | 2 | 1 | no | — |
| 334 | C2×M32 | — | 2 | 1 | no | — |
| 335 | C2×M32 | — | 2 | 1 | no | — |
| 336 | C2×M32 | — | 2 | 1 | no | — |
| 337 | C2×M32 | — | 2 | 1 | no | — |
| 338 | C2×M32 | — | 2 | 1 | no | — |
| 339 | C2×M32 | — | 2 | 1 | no | — |
| 340 | C2×M32 | — | 2 | 1 | no | — |
| 341 | C2×M32 | — | 2 | 1 | no | — |
| 342 | C2×M32 | — | 2 | 1 | no | — |
| 343 | C2×M32 | — | 2 | 1 | no | — |
| 344 | C2×M32 | — | 2 | 1 | no | — |
| 345 | C2×M32 | — | 2 | 1 | no | — |
| 346 | C2×M32 | — | 2 | 1 | no | — |
| 347 | C2×M32 | C2×D4 | 1 | 2 | yes | — |
| 348 | C2×M32 | #41 | 1 | 2 | yes | — |
| 349 | C2×M32 | #41 | 1 | 2 | yes | — |
| 350 | C22×C16 | — | 2 | 1 | no | — |
| 351 | C22×C16 | — | 2 | 1 | no | — |
| 352 | C22×C16 | — | 2 | 1 | no | — |
| 353 | C22×C16 | #41 | 1 | 2 | yes | — |
| 354 | #496 | — | 4 | 4 | no | — |
| 355 | #496 | — | 4 | 4 | no | — |
| 356 | #495 | — | 2 | 4 | no | — |
| 357 | #495 | — | 4 | 2 | no | — |
| 358 | #493 | — | 2 | 4 | no | — |
| 359 | #493 | — | 4 | 2 | no | — |
| 360 | #442 | — | 4 | 2 | no | — |
| 361 | #442 | — | 4 | 2 | no | — |
| 362 | #441 | — | 4 | 2 | no | — |
| 363 | #441 | — | 4 | 2 | no | — |
| 364 | C4×SD16 | — | 4 | 4 | no | — |
| 365 | C4×SD16 | — | 4 | 4 | no | — |
| 366 | C2×#108 | — | 2 | 1 | no | — |
| 367 | C2×#108 | — | 2 | 1 | no | — |
| 368 | C2×#108 | — | 2 | 1 | no | — |
| 369 | C2×#108 | — | 2 | 1 | no | — |
| 370 | C2×#108 | — | 2 | 1 | no | — |
| 371 | C2×#108 | — | 2 | 1 | no | — |
| 372 | C2×#108 | — | 2 | 1 | no | — |
| 373 | C2×#108 | — | 2 | 1 | no | — |
| 374 | C2×#108 | — | 2 | 1 | no | — |
| 375 | C2×#108 | — | 2 | 1 | no | — |
| 376 | C2×#108 | — | 2 | 1 | no | — |
| 377 | C2×#108 | — | 2 | 1 | no | — |
| 378 | #427 | — | 2 | 1 | no | — |
| 379 | #427 | — | 2 | 1 | no | — |
| 380 | #427 | — | 2 | 1 | no | — |
| 381 | #427 | — | 2 | 1 | no | — |
| 382 | #427 | — | 2 | 1 | no | — |
| 383 | #427 | — | 2 | 1 | no | — |
| 384 | #427 | — | 2 | 1 | no | — |
| 385 | #427 | C2×D4 | 1 | 2 | yes | — |
| 386 | C2×#107 | — | 2 | 1 | no | — |
| 387 | C2×#107 | C2×D4 | 1 | 2 | yes | — |
| 388 | C2×#106 | — | 2 | 1 | no | — |
| 389 | C2×#106 | — | 2 | 1 | no | — |
| 390 | C2×#106 | — | 2 | 1 | no | — |
| 391 | C2×#106 | — | 2 | 1 | no | — |
| 392 | C2×#106 | — | 2 | 1 | no | — |
| 393 | C2×#106 | — | 2 | 1 | no | — |
| 394 | C2×#106 | — | 2 | 1 | no | — |
| 395 | C2×#106 | C2×D4 | 1 | 2 | yes | — |
| 396 | #424 | — | 4 | 2 | no | — |
| 397 | #424 | — | 8 | 1 | no | — |
| 398 | #423 | — | 4 | 1 | no | — |
| 399 | #423 | — | 4 | 1 | no | — |
| 400 | C2×C4⋊C8 | — | 2 | 2 | no | — |
| 401 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 402 | #421 | — | 4 | 2 | no | — |
| 403 | #421 | — | 4 | 2 | no | — |
| 404 | #421 | — | 8 | 1 | no | — |
| 405 | #421 | — | 8 | 1 | no | — |
| 406 | C2×#104 | — | 4 | 2 | no | — |
| 407 | C2×#104 | — | 4 | 2 | no | — |
| 408 | C2×#104 | — | 4 | 2 | no | — |
| 409 | C2×#104 | — | 4 | 1 | no | — |
| 410 | C2×#104 | — | 4 | 1 | no | — |
| 411 | C2×#104 | — | 8 | 1 | no | — |
| 412 | #418 | — | 8 | 1 | no | — |
| 413 | #418 | — | 8 | 1 | no | — |
| 414 | #417 | — | 4 | 2 | no | — |
| 415 | #417 | — | 4 | 2 | no | — |
| 416 | #416 | — | 8 | 1 | no | — |
| 417 | #416 | — | 8 | 1 | no | — |
| 418 | C2×#103 | — | 2 | 2 | no | — |
| 419 | C2×#103 | — | 2 | 2 | no | — |
| 420 | C2×#102 | — | 2 | 2 | no | — |
| 421 | C2×#102 | — | 2 | 4 | no | — |
| 422 | C2×#102 | — | 2 | 4 | no | — |
| 423 | C2×#102 | — | 2 | 2 | no | — |
| 424 | C2×#102 | — | 8 | 1 | no | — |
| 425 | C2×#102 | — | 8 | 1 | no | — |
| 426 | #410 | — | 4 | 2 | no | — |
| 427 | #410 | — | 8 | 1 | no | — |
| 428 | C2×#99 | — | 4 | 2 | no | — |
| 429 | #408 | — | 4 | 2 | no | — |
| 430 | #408 | — | 4 | 2 | no | — |
| 431 | #408 | — | 8 | 1 | no | — |
| 432 | #408 | — | 8 | 1 | no | — |
| 433 | #407 | — | 8 | 1 | no | — |
| 434 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 435 | #405 | — | 2 | 1 | no | — |
| 436 | #405 | — | 2 | 1 | no | — |
| 437 | #405 | — | 2 | 1 | no | — |
| 438 | #405 | — | 2 | 1 | no | — |
| 439 | #405 | — | 2 | 1 | no | — |
| 440 | #405 | — | 2 | 1 | no | — |
| 441 | #405 | — | 2 | 1 | no | — |
| 442 | #405 | — | 2 | 1 | no | — |
| 443 | C2×#97 | — | 2 | 1 | no | — |
| 444 | C2×#97 | — | 2 | 1 | no | — |
| 445 | C2×#97 | — | 2 | 1 | no | — |
| 446 | C2×#97 | — | 2 | 1 | no | — |
| 447 | C2×#97 | — | 2 | 1 | no | — |
| 448 | C2×#97 | — | 2 | 1 | no | — |
| 449 | C2×#97 | — | 2 | 1 | no | — |
| 450 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 451 | C2×C4×C8 | — | 2 | 1 | no | — |
| 452 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 453 | #399 | — | 4 | 4 | no | — |
| 454 | #397 | — | 4 | 4 | no | — |
| 455 | #394 | — | 4 | 4 | no | — |
| 456 | #394 | — | 4 | 4 | no | — |
| 457 | #391 | — | 2 | 2 | no | — |
| 458 | #390 | — | 2 | 4 | no | — |
| 459 | #390 | — | 2 | 2 | no | — |
| 460 | #390 | — | 2 | 4 | no | — |
| 461 | #390 | — | 4 | 1 | no | — |
| 462 | #390 | — | 4 | 1 | no | — |
| 463 | #390 | — | 4 | 1 | no | — |
| 464 | #390 | — | 4 | 1 | no | — |
| 465 | #389 | — | 2 | 4 | no | — |
| 466 | #388 | — | 4 | 4 | no | — |
| 467 | #388 | — | 4 | 4 | no | — |
| 468 | #386 | — | 4 | 4 | no | — |
| 469 | #386 | — | 4 | 2 | no | — |
| 470 | #385 | — | 4 | 2 | no | — |
| 471 | #384 | — | 2 | 1 | no | — |
| 472 | #384 | — | 4 | 1 | no | — |
| 473 | #382 | — | 2 | 1 | no | — |
| 474 | #382 | — | 4 | 1 | no | — |
| 475 | #380 | — | 2 | 2 | no | — |
| 476 | #379 | — | 4 | 2 | no | — |
| 477 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 478 | C4×C22⋊C4 | — | 4 | 1 | no | — |
| 479 | C4×C22⋊C4 | — | 4 | 1 | no | — |
| 480 | #362 | — | 4 | 2 | no | — |
| 481 | #361 | — | 4 | 4 | no | — |
| 482 | #361 | — | 4 | 2 | no | — |
| 483 | #361 | — | 4 | 4 | no | — |
| 484 | #360 | — | 4 | 4 | no | — |
| 485 | #360 | — | 4 | 4 | no | — |
| 486 | #359 | — | 4 | 4 | no | — |
| 487 | #358 | — | 2 | 4 | no | — |
| 488 | #357 | — | 2 | 4 | no | — |
| 489 | #357 | — | 4 | 4 | no | — |
| 490 | #347 | — | 4 | 4 | no | — |
| 491 | #344 | — | 4 | 2 | no | — |
| 492 | #344 | — | 8 | 1 | no | — |
| 493 | #341 | — | 8 | 1 | no | — |
| 494 | #340 | — | 2 | 4 | no | — |
| 495 | #339 | — | 4 | 2 | no | — |
| 496 | H(3,ℤ/4) | — | 4 | 2 | no | — |
| 497 | #336 | — | 2 | 2 | no | — |
| 498 | #336 | — | 2 | 2 | no | — |
| 499 | C25 | — | 4 | 1 | no | — |
| 500 | C2×#41 | — | 2 | 2 | no | — |
| 501 | C2×#41 | — | 2 | 2 | no | — |
| 502 | C2×#41 | — | 4 | 1 | no | — |
| 503 | C2×#41 | — | 4 | 1 | no | — |
| 504 | C2×#41 | — | 4 | 1 | no | — |
| 505 | C2×#41 | — | 4 | 1 | no | — |
| 506 | C2×#41 | — | 4 | 1 | no | — |
| 507 | C2×#41 | — | 4 | 1 | no | — |
| 508 | C2×#41 | — | 4 | 1 | no | — |
| 509 | C2×#41 | — | 4 | 1 | no | — |
| 510 | C2×#41 | — | 4 | 1 | no | — |
| 511 | C2×#41 | — | 4 | 1 | no | — |
| 512 | C2×#41 | — | 4 | 1 | no | — |
| 513 | C2×#41 | — | 4 | 1 | no | — |
| 514 | C2×#41 | — | 4 | 1 | no | — |
| 515 | C2×#41 | — | 4 | 1 | no | — |
| 516 | C2×#41 | — | 4 | 1 | no | — |
| 517 | C2×#41 | — | 4 | 1 | no | — |
| 518 | C2×#41 | — | 4 | 1 | no | — |
| 519 | C2×#41 | — | 4 | 1 | no | — |
| 520 | C2×#41 | — | 4 | 1 | no | — |
| 521 | C2×#41 | — | 4 | 1 | no | — |
| 522 | C2×#41 | — | 4 | 1 | no | — |
| 523 | C2×#41 | — | 4 | 1 | no | — |
| 524 | C22×Q8 | — | 2 | 1 | no | — |
| 525 | C22×Q8 | — | 2 | 1 | no | — |
| 526 | C22×D4 | — | 2 | 1 | no | — |
| 527 | C22×D4 | — | 2 | 2 | no | — |
| 528 | C22×D4 | — | 2 | 1 | no | — |
| 529 | C22×D4 | — | 4 | 2 | no | — |
| 530 | C22×D4 | — | 4 | 2 | no | — |
| 531 | C22×D4 | — | 4 | 1 | no | — |
| 532 | C22×D4 | — | 4 | 1 | no | — |
| 533 | C22×D4 | — | 4 | 1 | no | — |
| 534 | C22×D4 | — | 4 | 1 | no | — |
| 535 | C22×D4 | — | 4 | 1 | no | — |
| 536 | C22×D4 | — | 4 | 1 | no | — |
| 537 | C22×D4 | — | 4 | 1 | no | — |
| 538 | C22×D4 | — | 4 | 1 | no | — |
| 539 | C22×D4 | — | 4 | 1 | no | — |
| 540 | C22×D4 | — | 4 | 1 | no | — |
| 541 | C22×D4 | — | 4 | 1 | no | — |
| 542 | C22×D4 | — | 4 | 1 | no | — |
| 543 | C22×D4 | — | 4 | 1 | no | — |
| 544 | C22×D4 | — | 4 | 1 | no | — |
| 545 | C22×D4 | — | 4 | 1 | no | — |
| 546 | C23×C4 | — | 2 | 1 | no | — |
| 547 | C23×C4 | — | 4 | 2 | no | — |
| 548 | C23×C4 | — | 4 | 1 | no | — |
| 549 | C23×C4 | — | 4 | 1 | no | — |
| 550 | C23×C4 | — | 4 | 1 | no | — |
| 551 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 552 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 553 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 554 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 555 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 556 | #135 | — | 2 | 2 | no | — |
| 557 | #135 | — | 2 | 2 | no | — |
| 558 | #135 | — | 2 | 2 | no | — |
| 559 | #135 | — | 2 | 2 | no | — |
| 560 | #135 | — | 2 | 2 | no | — |
| 561 | #135 | — | 2 | 2 | no | — |
| 562 | #135 | — | 2 | 2 | no | — |
| 563 | #135 | — | 2 | 2 | no | — |
| 564 | #135 | — | 4 | 1 | no | — |
| 565 | #135 | — | 4 | 1 | no | — |
| 566 | #135 | — | 4 | 1 | no | — |
| 567 | #135 | — | 4 | 1 | no | — |
| 568 | #135 | — | 4 | 1 | no | — |
| 569 | #135 | — | 4 | 1 | no | — |
| 570 | #135 | — | 4 | 1 | no | — |
| 571 | #135 | — | 4 | 1 | no | — |
| 572 | #135 | — | 4 | 1 | no | — |
| 573 | #135 | — | 4 | 1 | no | — |
| 574 | #135 | — | 4 | 1 | no | — |
| 575 | #135 | — | 4 | 1 | no | — |
| 576 | #135 | — | 4 | 1 | no | — |
| 577 | #135 | — | 4 | 1 | no | — |
| 578 | #135 | — | 4 | 1 | no | — |
| 579 | #135 | — | 4 | 1 | no | — |
| 580 | #135 | — | 4 | 1 | no | — |
| 581 | #135 | — | 4 | 1 | no | — |
| 582 | #135 | — | 4 | 1 | no | — |
| 583 | #135 | — | 4 | 1 | no | — |
| 584 | #135 | — | 4 | 1 | no | — |
| 585 | #135 | — | 4 | 1 | no | — |
| 586 | #135 | — | 4 | 1 | no | — |
| 587 | #135 | — | 4 | 1 | no | — |
| 588 | C2×Q16 | — | 2 | 1 | no | — |
| 589 | C2×Q16 | — | 2 | 1 | no | — |
| 590 | C2×Q16 | — | 2 | 1 | no | — |
| 591 | C2×Q16 | — | 2 | 1 | no | — |
| 592 | C2×Q16 | — | 2 | 1 | no | — |
| 593 | C2×Q16 | — | 2 | 1 | no | — |
| 594 | C2×Q16 | — | 2 | 1 | no | — |
| 595 | C2×Q16 | — | 2 | 1 | no | — |
| 596 | C2×Q16 | — | 2 | 1 | no | — |
| 597 | C2×Q16 | — | 2 | 1 | no | — |
| 598 | C2×Q16 | — | 2 | 1 | no | — |
| 599 | C2×Q16 | #121 | 1 | 2 | yes | — |
| 600 | C2×SD16 | — | 2 | 2 | no | — |
| 601 | C2×SD16 | — | 2 | 2 | no | — |
| 602 | C2×SD16 | — | 4 | 4 | no | — |
| 603 | C2×SD16 | — | 4 | 4 | no | — |
| 604 | C2×SD16 | — | 4 | 1 | no | — |
| 605 | C2×SD16 | — | 4 | 1 | no | — |
| 606 | C2×SD16 | — | 4 | 1 | no | — |
| 607 | C2×SD16 | — | 4 | 1 | no | — |
| 608 | C2×SD16 | — | 4 | 1 | no | — |
| 609 | C2×SD16 | — | 4 | 1 | no | — |
| 610 | C2×SD16 | — | 4 | 1 | no | — |
| 611 | C2×SD16 | — | 4 | 1 | no | — |
| 612 | C2×SD16 | — | 4 | 1 | no | — |
| 613 | C2×SD16 | — | 4 | 1 | no | — |
| 614 | C2×SD16 | — | 8 | 2 | no | — |
| 615 | C2×D8 | — | 2 | 2 | no | — |
| 616 | C2×D8 | — | 2 | 1 | no | — |
| 617 | C2×D8 | — | 2 | 1 | no | — |
| 618 | C2×D8 | — | 2 | 1 | no | — |
| 619 | C2×D8 | — | 2 | 2 | no | — |
| 620 | C2×D8 | — | 2 | 1 | no | — |
| 621 | C2×D8 | — | 2 | 1 | no | — |
| 622 | C2×D8 | — | 2 | 1 | no | — |
| 623 | C2×D8 | — | 2 | 1 | no | — |
| 624 | C2×D8 | — | 2 | 2 | no | — |
| 625 | C2×D8 | — | 2 | 2 | no | — |
| 626 | C2×D8 | — | 2 | 2 | no | — |
| 627 | C2×D8 | — | 2 | 1 | no | — |
| 628 | C2×D8 | — | 2 | 1 | no | — |
| 629 | C2×D8 | — | 2 | 2 | no | — |
| 630 | C2×D8 | — | 2 | 1 | no | — |
| 631 | C2×D8 | — | 2 | 1 | no | — |
| 632 | C2×D8 | — | 4 | 4 | no | — |
| 633 | C2×D8 | — | 4 | 4 | no | — |
| 634 | C2×D8 | — | 4 | 1 | no | — |
| 635 | C2×D8 | — | 4 | 1 | no | — |
| 636 | C2×D8 | — | 4 | 1 | no | — |
| 637 | C2×D8 | — | 4 | 1 | no | — |
| 638 | C2×D8 | — | 4 | 1 | no | — |
| 639 | C2×D8 | — | 4 | 1 | no | — |
| 640 | C2×D8 | — | 4 | 1 | no | — |
| 641 | C2×D8 | — | 4 | 1 | no | — |
| 642 | C2×D8 | — | 4 | 1 | no | — |
| 643 | C2×D8 | — | 4 | 1 | no | — |
| 644 | C2×D8 | — | 4 | 1 | no | — |
| 645 | C2×D8 | — | 4 | 1 | no | — |
| 646 | C2×D8 | — | 4 | 1 | no | — |
| 647 | C2×D8 | — | 4 | 1 | no | — |
| 648 | C2×D8 | — | 4 | 1 | no | — |
| 649 | C2×D8 | — | 4 | 1 | no | — |
| 650 | C2×D8 | — | 4 | 1 | no | — |
| 651 | C2×D8 | — | 4 | 1 | no | — |
| 652 | C2×D8 | — | 4 | 1 | no | — |
| 653 | C2×D8 | — | 4 | 1 | no | — |
| 654 | C2×D8 | — | 4 | 1 | no | — |
| 655 | C2×D8 | — | 4 | 1 | no | — |
| 656 | C2×D8 | — | 8 | 2 | no | — |
| 657 | C2×D8 | #121 | 1 | 2 | yes | — |
| 658 | C2×M16 | — | 2 | 1 | no | — |
| 659 | C2×M16 | — | 2 | 1 | no | — |
| 660 | C2×M16 | — | 2 | 1 | no | — |
| 661 | C2×M16 | — | 2 | 1 | no | — |
| 662 | C2×M16 | — | 2 | 1 | no | — |
| 663 | C2×M16 | — | 2 | 1 | no | — |
| 664 | C2×M16 | — | 2 | 1 | no | — |
| 665 | C2×M16 | — | 2 | 1 | no | — |
| 666 | C2×M16 | — | 2 | 1 | no | — |
| 667 | C2×M16 | — | 2 | 1 | no | — |
| 668 | C2×M16 | — | 2 | 1 | no | — |
| 669 | C2×M16 | — | 2 | 1 | no | — |
| 670 | C2×M16 | — | 4 | 1 | no | — |
| 671 | C2×M16 | — | 4 | 1 | no | — |
| 672 | C2×M16 | — | 4 | 1 | no | — |
| 673 | C2×M16 | — | 4 | 1 | no | — |
| 674 | C2×M16 | — | 4 | 1 | no | — |
| 675 | C2×M16 | — | 4 | 1 | no | — |
| 676 | C2×M16 | — | 4 | 1 | no | — |
| 677 | C2×M16 | — | 4 | 1 | no | — |
| 678 | C2×M16 | — | 4 | 1 | no | — |
| 679 | C2×M16 | — | 4 | 1 | no | — |
| 680 | C2×M16 | — | 4 | 1 | no | — |
| 681 | C2×M16 | — | 4 | 1 | no | — |
| 682 | C22×C8 | — | 2 | 1 | no | — |
| 683 | C22×C8 | — | 2 | 1 | no | — |
| 684 | C22×C8 | — | 2 | 1 | no | — |
| 685 | C22×C8 | — | 2 | 1 | no | — |
| 686 | C22×C8 | — | 2 | 1 | no | — |
| 687 | C22×C8 | — | 2 | 1 | no | — |
| 688 | C22×C8 | — | 2 | 1 | no | — |
| 689 | C22×C8 | — | 2 | 1 | no | — |
| 690 | C22×C8 | — | 4 | 1 | no | — |
| 691 | C22×C8 | — | 4 | 1 | no | — |
| 692 | C22×C8 | #120 | 1 | 2 | yes | — |
| 693 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 694 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 695 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 696 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 697 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 698 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 699 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 700 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 701 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 702 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 703 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 704 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 705 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 706 | C22×C8 | 2−1+4 | 1 | 1 | yes | characteristic |
| 707 | #127 | — | 4 | 4 | no | — |
| 708 | #127 | — | 8 | 2 | no | — |
| 709 | #124 | — | 4 | 4 | no | — |
| 710 | #124 | — | 8 | 2 | no | — |
| 711 | #123 | — | 16 | 8 | no | — |
| 712 | #121 | — | 8 | 2 | no | — |
| 713 | #121 | — | 8 | 2 | no | — |
| 714 | #121 | — | 8 | 2 | no | — |
| 715 | #121 | — | 8 | 2 | no | — |
| 716 | #120 | — | 8 | 4 | no | — |
| 717 | #120 | — | 8 | 4 | no | — |
| 718 | C4×Q8 | — | 4 | 4 | no | — |
| 719 | C4×Q8 | — | 8 | 2 | no | — |
| 720 | C4×D4 | — | 4 | 4 | no | — |
| 721 | C4×D4 | — | 8 | 2 | no | — |
| 722 | C4×D4 | — | 8 | 4 | no | — |
| 723 | C4×D4 | — | 8 | 4 | no | — |
| 724 | #117 | — | 2 | 1 | no | — |
| 725 | #117 | — | 2 | 1 | no | — |
| 726 | #117 | — | 2 | 1 | no | — |
| 727 | #117 | — | 2 | 1 | no | — |
| 728 | #117 | — | 2 | 1 | no | — |
| 729 | #117 | — | 2 | 1 | no | — |
| 730 | #117 | — | 2 | 1 | no | — |
| 731 | #117 | — | 2 | 1 | no | — |
| 732 | #117 | — | 2 | 2 | no | — |
| 733 | #117 | — | 4 | 1 | no | — |
| 734 | #117 | — | 4 | 1 | no | — |
| 735 | #117 | — | 4 | 1 | no | — |
| 736 | #117 | — | 4 | 1 | no | — |
| 737 | #117 | — | 4 | 1 | no | — |
| 738 | #117 | — | 4 | 1 | no | — |
| 739 | #117 | — | 4 | 1 | no | — |
| 740 | #117 | — | 8 | 2 | no | — |
| 741 | #117 | — | 8 | 2 | no | — |
| 742 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 743 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 744 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 745 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 746 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 747 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 748 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 749 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 750 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 751 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 752 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 753 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 754 | C2×C4⋊C4 | — | 4 | 4 | no | — |
| 755 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 756 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 757 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 758 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 759 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 760 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 761 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 762 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 763 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 764 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 765 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 766 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 767 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 768 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 769 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 770 | C2×C22⋊C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 771 | C2×C42 | — | 2 | 1 | no | — |
| 772 | C2×C42 | — | 2 | 1 | no | — |
| 773 | C2×C42 | — | 2 | 1 | no | — |
| 774 | C2×C42 | — | 2 | 1 | no | — |
| 775 | C2×C42 | — | 2 | 1 | no | — |
| 776 | C2×C42 | — | 2 | 1 | no | — |
| 777 | C2×C42 | — | 4 | 1 | no | — |
| 778 | C2×C42 | — | 4 | 2 | no | — |
| 779 | C2×C42 | — | 4 | 1 | no | — |
| 780 | C2×C42 | #120 | 1 | 2 | yes | — |
| 781 | C2×C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 782 | C2×C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 783 | Q32 | — | 4 | 4 | no | — |
| 784 | SD32 | — | 4 | 4 | no | — |
| 785 | SD32 | — | 4 | 4 | no | — |
| 786 | SD32 | — | 4 | 8 | no | — |
| 787 | D16 | — | 4 | 4 | no | — |
| 788 | D16 | — | 4 | 8 | no | — |
| 789 | M32 | — | 2 | 2 | no | — |
| 790 | M32 | — | 2 | 2 | no | — |
| 791 | M32 | — | 2 | 2 | no | — |
| 792 | M32 | — | 2 | 2 | no | — |
| 793 | M32 | — | 2 | 2 | no | — |
| 794 | M32 | — | 2 | 2 | no | — |
| 795 | M32 | — | 4 | 1 | no | — |
| 796 | M32 | — | 4 | 1 | no | — |
| 797 | M32 | — | 4 | 1 | no | — |
| 798 | M32 | — | 4 | 1 | no | — |
| 799 | M32 | — | 4 | 1 | no | — |
| 800 | M32 | — | 4 | 1 | no | — |
| 801 | M32 | — | 4 | 1 | no | — |
| 802 | M32 | — | 4 | 1 | no | — |
| 803 | M32 | — | 4 | 1 | no | — |
| 804 | M32 | — | 4 | 1 | no | — |
| 805 | C2×C16 | — | 2 | 2 | no | — |
| 806 | C2×C16 | — | 2 | 2 | no | — |
| 807 | C2×C16 | — | 2 | 2 | no | — |
| 808 | C2×C16 | — | 2 | 2 | no | — |
| 809 | C2×C16 | — | 2 | 2 | no | — |
| 810 | C2×C16 | — | 2 | 2 | no | — |
| 811 | C2×C16 | — | 4 | 1 | no | — |
| 812 | C2×C16 | — | 4 | 1 | no | — |
| 813 | C2×C16 | — | 4 | 1 | no | — |
| 814 | C2×C16 | — | 4 | 1 | no | — |
| 815 | C2×C16 | — | 4 | 1 | no | — |
| 816 | C2×C16 | — | 4 | 1 | no | — |
| 817 | #108 | — | 4 | 1 | no | — |
| 818 | #108 | — | 4 | 1 | no | — |
| 819 | #108 | — | 4 | 1 | no | — |
| 820 | #108 | — | 4 | 1 | no | — |
| 821 | #108 | — | 4 | 1 | no | — |
| 822 | #108 | — | 4 | 1 | no | — |
| 823 | #108 | — | 4 | 1 | no | — |
| 824 | #108 | — | 4 | 1 | no | — |
| 825 | #107 | — | 2 | 2 | no | — |
| 826 | #107 | — | 2 | 2 | no | — |
| 827 | #107 | — | 2 | 2 | no | — |
| 828 | #107 | — | 4 | 1 | no | — |
| 829 | #106 | — | 2 | 2 | no | — |
| 830 | #106 | — | 2 | 2 | no | — |
| 831 | #106 | — | 2 | 2 | no | — |
| 832 | #106 | — | 4 | 1 | no | — |
| 833 | #106 | — | 4 | 1 | no | — |
| 834 | #106 | — | 4 | 1 | no | — |
| 835 | #106 | — | 4 | 1 | no | — |
| 836 | #106 | — | 4 | 1 | no | — |
| 837 | C4⋊C8 | — | 4 | 4 | no | — |
| 838 | C4⋊C8 | — | 8 | 4 | no | — |
| 839 | #104 | — | 8 | 2 | no | — |
| 840 | #104 | — | 8 | 2 | no | — |
| 841 | #104 | — | 8 | 4 | no | — |
| 842 | #104 | — | 8 | 4 | no | — |
| 843 | #103 | — | 4 | 4 | no | — |
| 844 | #103 | — | 8 | 2 | no | — |
| 845 | #102 | — | 4 | 4 | no | — |
| 846 | #102 | — | 8 | 4 | no | — |
| 847 | #102 | — | 8 | 2 | no | — |
| 848 | #102 | — | 8 | 4 | no | — |
| 849 | #99 | — | 8 | 4 | no | — |
| 850 | C22⋊C8 | — | 8 | 4 | no | — |
| 851 | C22⋊C8 | — | 8 | 4 | no | — |
| 852 | #97 | — | 2 | 2 | no | — |
| 853 | #97 | — | 2 | 2 | no | — |
| 854 | #97 | — | 4 | 1 | no | — |
| 855 | #97 | — | 4 | 1 | no | — |
| 856 | #97 | — | 4 | 1 | no | — |
| 857 | #97 | — | 4 | 1 | no | — |
| 858 | #97 | — | 4 | 1 | no | — |
| 859 | #97 | — | 4 | 1 | no | — |
| 860 | C4×C8 | — | 2 | 2 | no | — |
| 861 | C4×C8 | — | 2 | 2 | no | — |
| 862 | C4×C8 | — | 4 | 1 | no | — |
| 863 | C4×C8 | — | 4 | 1 | no | — |
| 864 | #95 | — | 2 | 4 | no | — |
| 865 | #95 | — | 4 | 2 | no | — |
| 866 | #95 | — | 4 | 2 | no | — |
| 867 | #95 | — | 4 | 4 | no | — |
| 868 | C24 | — | 4 | 1 | no | — |
| 869 | C24 | — | 4 | 2 | no | — |
| 870 | C24 | — | 4 | 1 | no | — |
| 871 | C24 | — | 8 | 1 | no | — |
| 872 | C24 | — | 8 | 1 | no | — |
| 873 | C24 | — | 8 | 1 | no | — |
| 874 | C24 | — | 8 | 1 | no | — |
| 875 | C24 | — | 8 | 1 | no | — |
| 876 | C24 | — | 8 | 1 | no | — |
| 877 | C24 | — | 16 | 2 | no | — |
| 878 | C24 | — | 16 | 2 | no | — |
| 879 | C24 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 880 | #41 | — | 4 | 2 | no | — |
| 881 | #41 | — | 4 | 2 | no | — |
| 882 | #41 | — | 4 | 2 | no | — |
| 883 | #41 | — | 4 | 2 | no | — |
| 884 | #41 | — | 4 | 2 | no | — |
| 885 | #41 | — | 4 | 2 | no | — |
| 886 | #41 | — | 4 | 2 | no | — |
| 887 | #41 | — | 4 | 2 | no | — |
| 888 | #41 | — | 8 | 1 | no | — |
| 889 | #41 | — | 8 | 1 | no | — |
| 890 | #41 | — | 8 | 1 | no | — |
| 891 | #41 | — | 8 | 1 | no | — |
| 892 | #41 | — | 8 | 1 | no | — |
| 893 | #41 | — | 8 | 1 | no | — |
| 894 | #41 | — | 8 | 1 | no | — |
| 895 | #41 | — | 8 | 1 | no | — |
| 896 | #41 | — | 8 | 1 | no | — |
| 897 | #41 | — | 8 | 1 | no | — |
| 898 | #41 | — | 8 | 1 | no | — |
| 899 | #41 | — | 8 | 1 | no | — |
| 900 | #41 | — | 8 | 1 | no | — |
| 901 | #41 | — | 8 | 1 | no | — |
| 902 | #41 | — | 8 | 1 | no | — |
| 903 | #41 | — | 8 | 1 | no | — |
| 904 | #41 | — | 8 | 1 | no | — |
| 905 | #41 | — | 8 | 1 | no | — |
| 906 | #41 | — | 8 | 1 | no | — |
| 907 | #41 | — | 8 | 1 | no | — |
| 908 | #41 | — | 8 | 1 | no | — |
| 909 | #41 | — | 8 | 1 | no | — |
| 910 | #41 | — | 8 | 1 | no | — |
| 911 | #41 | — | 8 | 1 | no | — |
| 912 | C2×Q8 | — | 2 | 2 | no | — |
| 913 | C2×Q8 | — | 4 | 1 | no | — |
| 914 | C2×Q8 | — | 4 | 1 | no | — |
| 915 | C2×Q8 | — | 4 | 1 | no | — |
| 916 | C2×Q8 | — | 4 | 1 | no | — |
| 917 | C2×Q8 | — | 4 | 1 | no | — |
| 918 | C2×Q8 | — | 4 | 1 | no | — |
| 919 | C2×Q8 | — | 4 | 1 | no | — |
| 920 | C2×Q8 | — | 4 | 1 | no | — |
| 921 | C2×Q8 | — | 4 | 1 | no | — |
| 922 | C2×Q8 | — | 4 | 1 | no | — |
| 923 | C2×Q8 | — | 4 | 1 | no | — |
| 924 | C2×D4 | — | 2 | 2 | no | — |
| 925 | C2×D4 | — | 4 | 2 | no | — |
| 926 | C2×D4 | — | 4 | 2 | no | — |
| 927 | C2×D4 | — | 4 | 1 | no | — |
| 928 | C2×D4 | — | 4 | 1 | no | — |
| 929 | C2×D4 | — | 4 | 1 | no | — |
| 930 | C2×D4 | — | 4 | 1 | no | — |
| 931 | C2×D4 | — | 4 | 2 | no | — |
| 932 | C2×D4 | — | 4 | 1 | no | — |
| 933 | C2×D4 | — | 4 | 2 | no | — |
| 934 | C2×D4 | — | 4 | 1 | no | — |
| 935 | C2×D4 | — | 4 | 2 | no | — |
| 936 | C2×D4 | — | 4 | 1 | no | — |
| 937 | C2×D4 | — | 4 | 1 | no | — |
| 938 | C2×D4 | — | 4 | 1 | no | — |
| 939 | C2×D4 | — | 4 | 2 | no | — |
| 940 | C2×D4 | — | 4 | 1 | no | — |
| 941 | C2×D4 | — | 4 | 1 | no | — |
| 942 | C2×D4 | — | 4 | 2 | no | — |
| 943 | C2×D4 | — | 4 | 2 | no | — |
| 944 | C2×D4 | — | 8 | 4 | no | — |
| 945 | C2×D4 | — | 8 | 4 | no | — |
| 946 | C2×D4 | — | 8 | 1 | no | — |
| 947 | C2×D4 | — | 8 | 1 | no | — |
| 948 | C2×D4 | — | 8 | 1 | no | — |
| 949 | C2×D4 | — | 8 | 1 | no | — |
| 950 | C2×D4 | — | 8 | 1 | no | — |
| 951 | C2×D4 | — | 8 | 1 | no | — |
| 952 | C2×D4 | — | 8 | 1 | no | — |
| 953 | C2×D4 | — | 8 | 1 | no | — |
| 954 | C2×D4 | — | 8 | 1 | no | — |
| 955 | C2×D4 | — | 8 | 1 | no | — |
| 956 | C2×D4 | — | 8 | 1 | no | — |
| 957 | C2×D4 | — | 8 | 1 | no | — |
| 958 | C2×D4 | — | 8 | 1 | no | — |
| 959 | C2×D4 | — | 8 | 1 | no | — |
| 960 | C2×D4 | — | 8 | 1 | no | — |
| 961 | C2×D4 | — | 8 | 1 | no | — |
| 962 | C2×D4 | — | 8 | 1 | no | — |
| 963 | C2×D4 | — | 8 | 1 | no | — |
| 964 | C2×D4 | — | 8 | 1 | no | — |
| 965 | C2×D4 | — | 8 | 1 | no | — |
| 966 | C2×D4 | — | 8 | 1 | no | — |
| 967 | C2×D4 | — | 8 | 1 | no | — |
| 968 | C2×D4 | — | 8 | 1 | no | — |
| 969 | C2×D4 | — | 8 | 1 | no | — |
| 970 | C2×D4 | — | 8 | 1 | no | — |
| 971 | C2×D4 | — | 8 | 1 | no | — |
| 972 | C2×D4 | — | 8 | 1 | no | — |
| 973 | C2×D4 | — | 8 | 1 | no | — |
| 974 | C2×D4 | — | 8 | 1 | no | — |
| 975 | C2×D4 | — | 8 | 1 | no | — |
| 976 | C2×D4 | — | 8 | 1 | no | — |
| 977 | C2×D4 | — | 8 | 1 | no | — |
| 978 | C2×D4 | — | 16 | 4 | no | — |
| 979 | C2×D4 | — | 16 | 4 | no | — |
| 980 | C22×C4 | — | 2 | 1 | no | — |
| 981 | C22×C4 | — | 2 | 2 | no | — |
| 982 | C22×C4 | — | 2 | 2 | no | — |
| 983 | C22×C4 | — | 2 | 1 | no | — |
| 984 | C22×C4 | — | 4 | 1 | no | — |
| 985 | C22×C4 | — | 4 | 1 | no | — |
| 986 | C22×C4 | — | 4 | 1 | no | — |
| 987 | C22×C4 | — | 4 | 2 | no | — |
| 988 | C22×C4 | — | 4 | 2 | no | — |
| 989 | C22×C4 | — | 4 | 1 | no | — |
| 990 | C22×C4 | — | 4 | 2 | no | — |
| 991 | C22×C4 | — | 4 | 2 | no | — |
| 992 | C22×C4 | — | 8 | 2 | no | — |
| 993 | C22×C4 | — | 8 | 4 | no | — |
| 994 | C22×C4 | — | 8 | 1 | no | — |
| 995 | C22×C4 | — | 8 | 1 | no | — |
| 996 | C22×C4 | — | 8 | 1 | no | — |
| 997 | C22×C4 | — | 8 | 1 | no | — |
| 998 | C22×C4 | — | 8 | 1 | no | — |
| 999 | C22×C4 | — | 8 | 1 | no | — |
| 1000 | C22×C4 | — | 8 | 1 | no | — |
| 1001 | C22×C4 | — | 8 | 1 | no | — |
| 1002 | C22×C4 | — | 8 | 1 | no | — |
| 1003 | C22×C4 | — | 8 | 1 | no | — |
| 1004 | C22×C4 | — | 8 | 1 | no | — |
| 1005 | C22×C4 | — | 8 | 1 | no | — |
| 1006 | C22×C4 | — | 8 | 1 | no | — |
| 1007 | C22×C4 | — | 16 | 4 | no | — |
| 1008 | C22×C4 | — | 16 | 2 | no | — |
| 1009 | C22×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 1010 | C22×C4 | #532 | 1 | 1 | yes | characteristic |
| 1011 | C22×C4 | #535 | 1 | 1 | yes | characteristic |
| 1012 | C22×C4 | D42 | 1 | 1 | yes | characteristic |
| 1013 | C22×C4 | #546 | 1 | 1 | yes | characteristic |
| 1014 | C22×C4 | #548 | 1 | 1 | yes | characteristic |
| 1015 | C22×C4 | #550 | 1 | 1 | yes | characteristic |
| 1016 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1017 | C22×C4 | #575 | 1 | 1 | yes | characteristic |
| 1018 | C22×C4 | #575 | 1 | 1 | yes | characteristic |
| 1019 | C22×C4 | #576 | 1 | 1 | yes | characteristic |
| 1020 | C22×C4 | #576 | 1 | 1 | yes | characteristic |
| 1021 | C22×C4 | #576 | 1 | 1 | yes | characteristic |
| 1022 | C22×C4 | #576 | 1 | 1 | yes | characteristic |
| 1023 | Q16 | — | 2 | 2 | no | — |
| 1024 | Q16 | — | 2 | 2 | no | — |
| 1025 | Q16 | — | 4 | 1 | no | — |
| 1026 | Q16 | — | 4 | 1 | no | — |
| 1027 | Q16 | — | 4 | 1 | no | — |
| 1028 | Q16 | — | 4 | 1 | no | — |
| 1029 | Q16 | — | 4 | 1 | no | — |
| 1030 | Q16 | — | 4 | 1 | no | — |
| 1031 | SD16 | — | 4 | 2 | no | — |
| 1032 | SD16 | — | 4 | 2 | no | — |
| 1033 | SD16 | — | 4 | 2 | no | — |
| 1034 | SD16 | — | 4 | 2 | no | — |
| 1035 | SD16 | — | 8 | 8 | no | — |
| 1036 | SD16 | — | 8 | 1 | no | — |
| 1037 | SD16 | — | 8 | 1 | no | — |
| 1038 | SD16 | — | 8 | 1 | no | — |
| 1039 | SD16 | — | 8 | 1 | no | — |
| 1040 | D8 | — | 2 | 2 | no | — |
| 1041 | D8 | — | 2 | 2 | no | — |
| 1042 | D8 | — | 4 | 2 | no | — |
| 1043 | D8 | — | 4 | 1 | no | — |
| 1044 | D8 | — | 4 | 1 | no | — |
| 1045 | D8 | — | 4 | 2 | no | — |
| 1046 | D8 | — | 4 | 1 | no | — |
| 1047 | D8 | — | 4 | 2 | no | — |
| 1048 | D8 | — | 4 | 1 | no | — |
| 1049 | D8 | — | 4 | 1 | no | — |
| 1050 | D8 | — | 4 | 1 | no | — |
| 1051 | D8 | — | 4 | 2 | no | — |
| 1052 | D8 | — | 8 | 8 | no | — |
| 1053 | D8 | — | 8 | 1 | no | — |
| 1054 | D8 | — | 8 | 1 | no | — |
| 1055 | D8 | — | 8 | 1 | no | — |
| 1056 | D8 | — | 8 | 1 | no | — |
| 1057 | M16 | — | 4 | 1 | no | — |
| 1058 | M16 | — | 4 | 1 | no | — |
| 1059 | M16 | — | 4 | 1 | no | — |
| 1060 | M16 | — | 4 | 1 | no | — |
| 1061 | M16 | — | 4 | 1 | no | — |
| 1062 | M16 | — | 4 | 1 | no | — |
| 1063 | M16 | — | 4 | 1 | no | — |
| 1064 | M16 | — | 4 | 1 | no | — |
| 1065 | M16 | — | 8 | 1 | no | — |
| 1066 | M16 | — | 8 | 1 | no | — |
| 1067 | M16 | — | 8 | 1 | no | — |
| 1068 | M16 | — | 8 | 1 | no | — |
| 1069 | M16 | — | 8 | 1 | no | — |
| 1070 | M16 | — | 8 | 1 | no | — |
| 1071 | M16 | — | 8 | 1 | no | — |
| 1072 | M16 | — | 8 | 1 | no | — |
| 1073 | C2×C8 | — | 2 | 2 | no | — |
| 1074 | C2×C8 | — | 2 | 2 | no | — |
| 1075 | C2×C8 | — | 2 | 2 | no | — |
| 1076 | C2×C8 | — | 4 | 1 | no | — |
| 1077 | C2×C8 | — | 4 | 1 | no | — |
| 1078 | C2×C8 | — | 4 | 1 | no | — |
| 1079 | C2×C8 | — | 4 | 1 | no | — |
| 1080 | C2×C8 | — | 4 | 1 | no | — |
| 1081 | C2×C8 | — | 4 | 1 | no | — |
| 1082 | C2×C8 | — | 4 | 1 | no | — |
| 1083 | C2×C8 | — | 4 | 1 | no | — |
| 1084 | C2×C8 | — | 4 | 1 | no | — |
| 1085 | C2×C8 | — | 4 | 1 | no | — |
| 1086 | C2×C8 | — | 8 | 1 | no | — |
| 1087 | C2×C8 | — | 8 | 1 | no | — |
| 1088 | C2×C8 | — | 8 | 1 | no | — |
| 1089 | C2×C8 | — | 8 | 1 | no | — |
| 1090 | C2×C8 | — | 8 | 1 | no | — |
| 1091 | C2×C8 | — | 8 | 1 | no | — |
| 1092 | C2×C8 | C2×#121 | 1 | 1 | yes | characteristic |
| 1093 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 1094 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 1095 | C2×C8 | #529 | 1 | 1 | yes | characteristic |
| 1096 | C2×C8 | #534 | 1 | 1 | yes | characteristic |
| 1097 | C2×C8 | #534 | 1 | 1 | yes | characteristic |
| 1098 | C2×C8 | #537 | 1 | 1 | yes | characteristic |
| 1099 | C2×C8 | #538 | 1 | 1 | yes | characteristic |
| 1100 | C2×C8 | #538 | 1 | 1 | yes | characteristic |
| 1101 | C2×C8 | #539 | 1 | 1 | yes | characteristic |
| 1102 | C2×C8 | #540 | 1 | 1 | yes | characteristic |
| 1103 | C2×C8 | #542 | 1 | 1 | yes | characteristic |
| 1104 | C2×C8 | D42 | 1 | 1 | yes | characteristic |
| 1105 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 1106 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 1107 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 1108 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 1109 | C2×C8 | #546 | 1 | 1 | yes | characteristic |
| 1110 | C2×C8 | #547 | 1 | 1 | yes | characteristic |
| 1111 | C2×C8 | #547 | 1 | 1 | yes | characteristic |
| 1112 | C2×C8 | #550 | 1 | 1 | yes | characteristic |
| 1113 | C2×C8 | #550 | 1 | 1 | yes | characteristic |
| 1114 | C2×C8 | #551 | 1 | 1 | yes | characteristic |
| 1115 | C2×C8 | #551 | 1 | 1 | yes | characteristic |
| 1116 | C2×C8 | #551 | 1 | 1 | yes | characteristic |
| 1117 | C2×C8 | #553 | 1 | 1 | yes | characteristic |
| 1118 | C2×C8 | #560 | 1 | 1 | yes | characteristic |
| 1119 | C2×C8 | #562 | 1 | 1 | yes | characteristic |
| 1120 | C4⋊C4 | — | 4 | 1 | no | — |
| 1121 | C4⋊C4 | — | 4 | 1 | no | — |
| 1122 | C4⋊C4 | — | 4 | 1 | no | — |
| 1123 | C4⋊C4 | — | 4 | 1 | no | — |
| 1124 | C4⋊C4 | — | 4 | 2 | no | — |
| 1125 | C4⋊C4 | — | 4 | 2 | no | — |
| 1126 | C4⋊C4 | — | 4 | 2 | no | — |
| 1127 | C4⋊C4 | — | 4 | 2 | no | — |
| 1128 | C4⋊C4 | — | 4 | 2 | no | — |
| 1129 | C4⋊C4 | — | 8 | 4 | no | — |
| 1130 | C4⋊C4 | — | 8 | 4 | no | — |
| 1131 | C4⋊C4 | — | 8 | 1 | no | — |
| 1132 | C4⋊C4 | — | 8 | 1 | no | — |
| 1133 | C4⋊C4 | — | 8 | 1 | no | — |
| 1134 | C4⋊C4 | — | 16 | 4 | no | — |
| 1135 | C22⋊C4 | — | 2 | 2 | no | — |
| 1136 | C22⋊C4 | — | 2 | 2 | no | — |
| 1137 | C22⋊C4 | — | 4 | 1 | no | — |
| 1138 | C22⋊C4 | — | 4 | 1 | no | — |
| 1139 | C22⋊C4 | — | 4 | 2 | no | — |
| 1140 | C22⋊C4 | — | 8 | 4 | no | — |
| 1141 | C22⋊C4 | — | 8 | 4 | no | — |
| 1142 | C22⋊C4 | — | 8 | 4 | no | — |
| 1143 | C22⋊C4 | — | 8 | 8 | no | — |
| 1144 | C22⋊C4 | — | 8 | 4 | no | — |
| 1145 | C22⋊C4 | — | 8 | 1 | no | — |
| 1146 | C22⋊C4 | — | 8 | 1 | no | — |
| 1147 | C22⋊C4 | — | 8 | 1 | no | — |
| 1148 | C22⋊C4 | — | 16 | 2 | no | — |
| 1149 | C22⋊C4 | — | 16 | 4 | no | — |
| 1150 | C22⋊C4 | — | 16 | 4 | no | — |
| 1151 | C22⋊C4 | — | 16 | 4 | no | — |
| 1152 | C42 | — | 2 | 2 | no | — |
| 1153 | C42 | — | 2 | 1 | no | — |
| 1154 | C42 | — | 2 | 1 | no | — |
| 1155 | C42 | — | 2 | 1 | no | — |
| 1156 | C42 | — | 2 | 1 | no | — |
| 1157 | C42 | — | 2 | 2 | no | — |
| 1158 | C42 | — | 4 | 1 | no | — |
| 1159 | C42 | — | 4 | 1 | no | — |
| 1160 | C42 | — | 4 | 1 | no | — |
| 1161 | C42 | — | 4 | 1 | no | — |
| 1162 | C42 | — | 4 | 2 | no | — |
| 1163 | C42 | — | 8 | 4 | no | — |
| 1164 | C42 | — | 8 | 1 | no | — |
| 1165 | C42 | — | 8 | 1 | no | — |
| 1166 | C42 | — | 8 | 1 | no | — |
| 1167 | C16 | — | 4 | 2 | no | — |
| 1168 | C16 | — | 4 | 2 | no | — |
| 1169 | C16 | — | 4 | 2 | no | — |
| 1170 | C16 | — | 4 | 2 | no | — |
| 1171 | C23 | — | 4 | 2 | no | — |
| 1172 | C23 | — | 4 | 2 | no | — |
| 1173 | C23 | — | 8 | 2 | no | — |
| 1174 | C23 | — | 8 | 2 | no | — |
| 1175 | C23 | — | 8 | 4 | no | — |
| 1176 | C23 | — | 8 | 4 | no | — |
| 1177 | C23 | — | 8 | 1 | no | — |
| 1178 | C23 | — | 8 | 1 | no | — |
| 1179 | C23 | — | 8 | 2 | no | — |
| 1180 | C23 | — | 8 | 2 | no | — |
| 1181 | C23 | — | 8 | 1 | no | — |
| 1182 | C23 | — | 8 | 2 | no | — |
| 1183 | C23 | — | 8 | 1 | no | — |
| 1184 | C23 | — | 8 | 1 | no | — |
| 1185 | C23 | — | 16 | 2 | no | — |
| 1186 | C23 | — | 16 | 4 | no | — |
| 1187 | C23 | — | 16 | 4 | no | — |
| 1188 | C23 | — | 16 | 1 | no | — |
| 1189 | C23 | — | 16 | 1 | no | — |
| 1190 | C23 | — | 16 | 1 | no | — |
| 1191 | C23 | — | 16 | 1 | no | — |
| 1192 | C23 | — | 32 | 2 | no | — |
| 1193 | C23 | — | 32 | 2 | no | — |
| 1194 | C23 | — | 32 | 1 | no | — |
| 1195 | C23 | — | 32 | 1 | no | — |
| 1196 | C23 | — | 32 | 1 | no | — |
| 1197 | C23 | — | 32 | 1 | no | — |
| 1198 | C23 | #3003 | 1 | 1 | yes | characteristic |
| 1199 | C23 | #3171 | 1 | 1 | yes | characteristic |
| 1200 | C23 | #3214 | 1 | 1 | yes | characteristic |
| 1201 | C23 | #3264 | 1 | 1 | yes | characteristic |
| 1202 | C23 | #3318 | 1 | 1 | yes | characteristic |
| 1203 | C23 | #3366 | 1 | 1 | yes | characteristic |
| 1204 | C23 | #3399 | 1 | 1 | yes | characteristic |
| 1205 | Q8 | — | 4 | 2 | no | — |
| 1206 | Q8 | — | 4 | 2 | no | — |
| 1207 | Q8 | — | 8 | 1 | no | — |
| 1208 | Q8 | — | 8 | 1 | no | — |
| 1209 | Q8 | — | 8 | 1 | no | — |
| 1210 | Q8 | — | 8 | 1 | no | — |
| 1211 | Q8 | — | 8 | 1 | no | — |
| 1212 | Q8 | — | 8 | 1 | no | — |
| 1213 | D4 | — | 4 | 2 | no | — |
| 1214 | D4 | — | 4 | 2 | no | — |
| 1215 | D4 | — | 8 | 2 | no | — |
| 1216 | D4 | — | 8 | 2 | no | — |
| 1217 | D4 | — | 8 | 2 | no | — |
| 1218 | D4 | — | 8 | 2 | no | — |
| 1219 | D4 | — | 8 | 1 | no | — |
| 1220 | D4 | — | 8 | 2 | no | — |
| 1221 | D4 | — | 8 | 2 | no | — |
| 1222 | D4 | — | 8 | 1 | no | — |
| 1223 | D4 | — | 8 | 2 | no | — |
| 1224 | D4 | — | 8 | 1 | no | — |
| 1225 | D4 | — | 8 | 2 | no | — |
| 1226 | D4 | — | 8 | 1 | no | — |
| 1227 | D4 | — | 8 | 1 | no | — |
| 1228 | D4 | — | 8 | 1 | no | — |
| 1229 | D4 | — | 16 | 1 | no | — |
| 1230 | D4 | — | 16 | 1 | no | — |
| 1231 | D4 | — | 16 | 1 | no | — |
| 1232 | D4 | — | 16 | 1 | no | — |
| 1233 | D4 | — | 16 | 1 | no | — |
| 1234 | D4 | — | 16 | 1 | no | — |
| 1235 | D4 | — | 16 | 1 | no | — |
| 1236 | D4 | — | 16 | 1 | no | — |
| 1237 | D4 | — | 32 | 4 | no | — |
| 1238 | D4 | — | 32 | 4 | no | — |
| 1239 | C2×C4 | — | 4 | 2 | no | — |
| 1240 | C2×C4 | — | 4 | 2 | no | — |
| 1241 | C2×C4 | — | 4 | 4 | no | — |
| 1242 | C2×C4 | — | 4 | 4 | no | — |
| 1243 | C2×C4 | — | 4 | 1 | no | — |
| 1244 | C2×C4 | — | 4 | 1 | no | — |
| 1245 | C2×C4 | — | 4 | 2 | no | — |
| 1246 | C2×C4 | — | 4 | 2 | no | — |
| 1247 | C2×C4 | — | 4 | 2 | no | — |
| 1248 | C2×C4 | — | 8 | 1 | no | — |
| 1249 | C2×C4 | — | 8 | 1 | no | — |
| 1250 | C2×C4 | — | 8 | 2 | no | — |
| 1251 | C2×C4 | — | 8 | 2 | no | — |
| 1252 | C2×C4 | — | 8 | 2 | no | — |
| 1253 | C2×C4 | — | 8 | 2 | no | — |
| 1254 | C2×C4 | — | 8 | 2 | no | — |
| 1255 | C2×C4 | — | 8 | 4 | no | — |
| 1256 | C2×C4 | — | 8 | 2 | no | — |
| 1257 | C2×C4 | — | 8 | 2 | no | — |
| 1258 | C2×C4 | — | 8 | 2 | no | — |
| 1259 | C2×C4 | — | 8 | 2 | no | — |
| 1260 | C2×C4 | — | 8 | 1 | no | — |
| 1261 | C2×C4 | — | 8 | 1 | no | — |
| 1262 | C2×C4 | — | 8 | 1 | no | — |
| 1263 | C2×C4 | — | 16 | 1 | no | — |
| 1264 | C2×C4 | — | 16 | 1 | no | — |
| 1265 | C2×C4 | — | 16 | 2 | no | — |
| 1266 | C2×C4 | — | 16 | 1 | no | — |
| 1267 | C2×C4 | — | 16 | 1 | no | — |
| 1268 | C2×C4 | — | 16 | 1 | no | — |
| 1269 | C2×C4 | — | 16 | 1 | no | — |
| 1270 | C2×C4 | — | 32 | 4 | no | — |
| 1271 | C2×C4 | — | 32 | 1 | no | — |
| 1272 | C2×C4 | — | 32 | 1 | no | — |
| 1273 | C2×C4 | #2407 | 1 | 1 | yes | characteristic |
| 1274 | C2×C4 | #2410 | 1 | 1 | yes | characteristic |
| 1275 | C2×C4 | #2431 | 1 | 1 | yes | characteristic |
| 1276 | C2×C4 | #2461 | 1 | 1 | yes | characteristic |
| 1277 | C2×C4 | #2554 | 1 | 1 | yes | characteristic |
| 1278 | C2×C4 | #2673 | 1 | 1 | yes | characteristic |
| 1279 | C2×C4 | #2696 | 1 | 1 | yes | characteristic |
| 1280 | C2×C4 | #3005 | 1 | 1 | yes | characteristic |
| 1281 | C2×C4 | #3008 | 1 | 1 | yes | characteristic |
| 1282 | C2×C4 | #3008 | 1 | 1 | yes | characteristic |
| 1283 | C2×C4 | #3176 | 1 | 1 | yes | characteristic |
| 1284 | C2×C4 | #3176 | 1 | 1 | yes | characteristic |
| 1285 | C2×C4 | #3180 | 1 | 1 | yes | characteristic |
| 1286 | C2×C4 | #3213 | 1 | 1 | yes | characteristic |
| 1287 | C2×C4 | #3220 | 1 | 1 | yes | characteristic |
| 1288 | C2×C4 | #3220 | 1 | 1 | yes | characteristic |
| 1289 | C2×C4 | #3268 | 1 | 1 | yes | characteristic |
| 1290 | C2×C4 | #3273 | 1 | 1 | yes | characteristic |
| 1291 | C2×C4 | #3274 | 1 | 1 | yes | characteristic |
| 1292 | C2×C4 | #3319 | 1 | 1 | yes | characteristic |
| 1293 | C2×C4 | #3322 | 1 | 1 | yes | characteristic |
| 1294 | C2×C4 | #3325 | 1 | 1 | yes | characteristic |
| 1295 | C2×C4 | #3366 | 1 | 1 | yes | characteristic |
| 1296 | C2×C4 | #3370 | 1 | 1 | yes | characteristic |
| 1297 | C2×C4 | #3370 | 1 | 1 | yes | characteristic |
| 1298 | C2×C4 | #3399 | 1 | 1 | yes | characteristic |
| 1299 | C2×C4 | #3403 | 1 | 1 | yes | characteristic |
| 1300 | C2×C4 | #3403 | 1 | 1 | yes | characteristic |
| 1301 | C8 | — | 4 | 2 | no | — |
| 1302 | C8 | — | 8 | 1 | no | — |
| 1303 | C8 | — | 8 | 1 | no | — |
| 1304 | C8 | — | 16 | 1 | no | — |
| 1305 | C8 | — | 16 | 1 | no | — |
| 1306 | C8 | #2425 | 1 | 1 | yes | characteristic |
| 1307 | C8 | #2456 | 1 | 1 | yes | characteristic |
| 1308 | C8 | #2471 | 1 | 1 | yes | characteristic |
| 1309 | C8 | #2534 | 1 | 1 | yes | characteristic |
| 1310 | C8 | #2682 | 1 | 1 | yes | characteristic |
| 1311 | C8 | #2697 | 1 | 1 | yes | characteristic |
| 1312 | C8 | #2701 | 1 | 1 | yes | characteristic |
| 1313 | C8 | #2705 | 1 | 1 | yes | characteristic |
| 1314 | C22 | — | 2 | 2 | no | — |
| 1315 | C22 | — | 2 | 2 | no | — |
| 1316 | C22 | — | 2 | 2 | no | — |
| 1317 | C22 | — | 4 | 1 | no | — |
| 1318 | C22 | — | 4 | 1 | no | — |
| 1319 | C22 | — | 4 | 1 | no | — |
| 1320 | C22 | — | 4 | 1 | no | — |
| 1321 | C22 | — | 8 | 2 | no | — |
| 1322 | C22 | — | 8 | 2 | no | — |
| 1323 | C22 | — | 8 | 2 | no | — |
| 1324 | C22 | — | 16 | 2 | no | — |
| 1325 | C22 | — | 16 | 2 | no | — |
| 1326 | C22 | — | 16 | 2 | no | — |
| 1327 | C22 | — | 16 | 4 | no | — |
| 1328 | C22 | — | 16 | 2 | no | — |
| 1329 | C22 | — | 16 | 2 | no | — |
| 1330 | C22 | — | 16 | 4 | no | — |
| 1331 | C22 | — | 16 | 2 | no | — |
| 1332 | C22 | — | 16 | 1 | no | — |
| 1333 | C22 | — | 16 | 2 | no | — |
| 1334 | C22 | — | 32 | 1 | no | — |
| 1335 | C22 | — | 32 | 2 | no | — |
| 1336 | C22 | — | 32 | 2 | no | — |
| 1337 | C22 | — | 32 | 2 | no | — |
| 1338 | C22 | — | 32 | 2 | no | — |
| 1339 | C22 | #24196 | 1 | 1 | yes | characteristic |
| 1340 | C22 | #24440 | 1 | 1 | yes | characteristic |
| 1341 | C22 | #25602 | 1 | 1 | yes | characteristic |
| 1342 | C22 | #26827 | 1 | 1 | yes | characteristic |
| 1343 | C22 | #28890 | 1 | 1 | yes | characteristic |
| 1344 | C22 | #30753 | 1 | 1 | yes | characteristic |
| 1345 | C22 | #31658 | 1 | 1 | yes | characteristic |
| 1346 | C4 | — | 8 | 1 | no | — |
| 1347 | C4 | — | 8 | 1 | no | — |
| 1348 | C4 | — | 8 | 2 | no | — |
| 1349 | C4 | — | 8 | 2 | no | — |
| 1350 | C4 | — | 8 | 2 | no | — |
| 1351 | C4 | — | 16 | 2 | no | — |
| 1352 | C4 | — | 16 | 2 | no | — |
| 1353 | C4 | — | 16 | 2 | no | — |
| 1354 | C4 | — | 16 | 1 | no | — |
| 1355 | C4 | #15272 | 1 | 1 | yes | characteristic |
| 1356 | C4 | #24198 | 1 | 1 | yes | characteristic |
| 1357 | C4 | #24450 | 1 | 1 | yes | characteristic |
| 1358 | C4 | #25608 | 1 | 1 | yes | characteristic |
| 1359 | C4 | #26843 | 1 | 1 | yes | characteristic |
| 1360 | C4 | #28885 | 1 | 1 | yes | characteristic |
| 1361 | C4 | #30763 | 1 | 1 | yes | characteristic |
| 1362 | C4 | #31665 | 1 | 1 | yes | characteristic |
| 1363 | C2 | — | 2 | 1 | no | — |
| 1364 | C2 | — | 2 | 1 | no | — |
| 1365 | C2 | — | 2 | 1 | no | — |
| 1366 | C2 | — | 2 | 1 | no | — |
| 1367 | C2 | — | 2 | 1 | no | — |
| 1368 | C2 | — | 2 | 1 | no | — |
| 1369 | C2 | — | 16 | 2 | no | — |
| 1370 | C2 | — | 32 | 2 | no | — |
| 1371 | C2 | — | 32 | 1 | no | — |
| 1372 | C2 | #419579 | 1 | 1 | yes | characteristic |
| 1373 | C2 | #500650 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #24196 |
| commutator, Frattini, cosocle | C23×C8 | C24 |
| prime radical | #498860 | C2 |
| LCS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C23×C4 ◁ #20438 ◁ G | |
| LECS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #6444562 | C2 | semidirect |
| 3. C2×#13215 | C2 | semidirect |
| 4. #494924 | C2 | semidirect |
| 5. C2×#13030 | C2 | semidirect |
| 6. #416373 | C2 | semidirect |
| 7. #148744 | C2 | semidirect |
| 8. #148566 | C2 | semidirect |
| 9. #148125 | C2 | semidirect |
| 10. #148105 | C2 | semidirect |
| 11. #147953 | C2 | semidirect |
| 12. #147947 | C2 | semidirect |
| 13. #147938 | C2 | semidirect |
| 14. #147130 | C2 | semidirect |
| 15. #146761 | C2 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #6444562 | 2 |
| #498860 | 2 |
| C2×#13215 | 2 |
| #494924 | 2 |
| C2×#13030 | 2 |
| #416373 | 2 |
| #148744 | 2 |
| #148566 | 2 |
| #148125 | 2 |
| #148105 | 2 |
| #147953 | 2 |
| #147947 | 2 |
| #147938 | 2 |
| #147130 | 2 |
| #146761 | 2 |