Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
2733 conjugacy classes of subgroups.
The subgroup lattice has 1319 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72225446 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72225445 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #72225442 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #72225439 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72225426 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72225419 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72225414 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72225388 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #72225174 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72216234 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72216219 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #7623661 | C4 | 1 | 1 | yes | characteristic |
| 13 | #7622628 | — | 2 | 1 | no | — |
| 14 | #6383885 | C22 | 1 | 2 | yes | — |
| 15 | #498569 | C4 | 1 | 1 | yes | characteristic |
| 16 | #498368 | — | 2 | 1 | no | — |
| 17 | #498314 | C4 | 1 | 2 | yes | — |
| 18 | #498173 | — | 2 | 2 | no | — |
| 19 | #497894 | C4 | 1 | 1 | yes | characteristic |
| 20 | #497857 | C4 | 1 | 1 | yes | characteristic |
| 21 | #497829 | C22 | 1 | 2 | yes | complemented |
| 22 | #497457 | — | 2 | 1 | no | — |
| 23 | #497407 | C4 | 1 | 2 | yes | — |
| 24 | #496112 | C22 | 1 | 1 | yes | characteristic |
| 25 | #495894 | — | 2 | 1 | no | — |
| 26 | #495835 | C22 | 1 | 2 | yes | — |
| 27 | #495720 | — | 2 | 2 | no | — |
| 28 | #493242 | C22 | 1 | 1 | yes | characteristic |
| 29 | #493217 | C22 | 1 | 1 | yes | characteristic |
| 30 | #483601 | — | 2 | 1 | no | — |
| 31 | #483589 | — | 2 | 1 | no | — |
| 32 | #481073 | — | 2 | 2 | no | — |
| 33 | #184013 | C22 | 1 | 2 | yes | complemented |
| 34 | #140841 | C22 | 1 | 2 | yes | complemented |
| 35 | #140533 | C22 | 1 | 2 | yes | complemented |
| 36 | #140516 | C22 | 1 | 2 | yes | complemented |
| 37 | #140357 | — | 2 | 1 | no | — |
| 38 | #137627 | — | 2 | 2 | no | — |
| 39 | #136601 | — | 2 | 2 | no | — |
| 40 | #135910 | — | 2 | 2 | no | — |
| 41 | #135718 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #134373 | C22 | 1 | 2 | yes | — |
| 43 | #134373 | C22 | 1 | 2 | yes | complemented |
| 44 | #129526 | — | 2 | 2 | no | — |
| 45 | #129166 | — | 2 | 1 | no | — |
| 46 | #129088 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #129051 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #128690 | — | 2 | 2 | no | — |
| 49 | #128537 | C22 | 1 | 1 | yes | characteristic |
| 50 | #128537 | C22 | 1 | 2 | yes | complemented |
| 51 | C4×#1336 | C22 | 1 | 1 | yes | characteristic |
| 52 | C4×#1313 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #124213 | C22 | 1 | 2 | yes | complemented |
| 54 | #93448 | C22 | 1 | 2 | yes | complemented |
| 55 | #93273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #93266 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #62635 | — | 2 | 1 | no | — |
| 58 | #61105 | C2×C4 | 1 | 2 | yes | — |
| 59 | #60183 | — | 2 | 2 | no | — |
| 60 | #60183 | — | 2 | 2 | no | — |
| 61 | #33860 | C8 | 1 | 2 | yes | complemented |
| 62 | #33859 | — | 2 | 2 | no | — |
| 63 | #33858 | C8 | 1 | 2 | yes | complemented |
| 64 | #33857 | — | 2 | 2 | no | — |
| 65 | #33856 | C8 | 1 | 4 | yes | complemented |
| 66 | #33713 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | #33617 | — | 2 | 1 | no | — |
| 68 | #33594 | C2×C4 | 1 | 2 | yes | — |
| 69 | #33538 | — | 2 | 2 | no | — |
| 70 | #33465 | — | 2 | 1 | no | — |
| 71 | #33465 | — | 2 | 1 | no | — |
| 72 | #33465 | — | 4 | 2 | no | — |
| 73 | #33464 | — | 2 | 2 | no | — |
| 74 | #33464 | — | 4 | 2 | no | — |
| 75 | #33463 | — | 2 | 2 | no | — |
| 76 | #33463 | — | 4 | 2 | no | — |
| 77 | C2×#2179 | — | 2 | 1 | no | — |
| 78 | C2×#2179 | — | 2 | 1 | no | — |
| 79 | C2×#2179 | — | 4 | 2 | no | — |
| 80 | C2×#2179 | D4 | 1 | 1 | yes | characteristic |
| 81 | C2×#2178 | C2×C4 | 1 | 1 | yes | characteristic |
| 82 | #33451 | D4 | 1 | 1 | yes | characteristic |
| 83 | #33443 | — | 2 | 2 | no | — |
| 84 | C2×#2170 | C2×C4 | 1 | 1 | yes | characteristic |
| 85 | C2×#2170 | C2×C4 | 1 | 1 | yes | characteristic |
| 86 | #33414 | — | 2 | 1 | no | — |
| 87 | #33401 | — | 2 | 2 | no | — |
| 88 | #33385 | — | 2 | 2 | no | — |
| 89 | #33326 | — | 2 | 1 | no | — |
| 90 | #23196 | C2×C4 | 1 | 2 | yes | — |
| 91 | #23042 | — | 2 | 2 | no | — |
| 92 | #23042 | — | 2 | 2 | no | — |
| 93 | #22899 | — | 4 | 2 | no | — |
| 94 | #22694 | C2×C4 | 1 | 2 | yes | — |
| 95 | #22694 | C2×C4 | 1 | 2 | yes | — |
| 96 | #22462 | — | 2 | 2 | no | — |
| 97 | #22462 | — | 2 | 2 | no | — |
| 98 | #21705 | C23 | 1 | 2 | yes | — |
| 99 | #21558 | — | 2 | 2 | no | — |
| 100 | #21558 | — | 2 | 2 | no | — |
| 101 | #21477 | — | 4 | 2 | no | — |
| 102 | C4×#443 | C23 | 1 | 2 | yes | — |
| 103 | C4×#443 | C23 | 1 | 1 | yes | characteristic |
| 104 | #17849 | — | 2 | 2 | no | — |
| 105 | #17316 | — | 2 | 2 | no | — |
| 106 | #13259 | C2×C4 | 1 | 2 | yes | — |
| 107 | #13243 | — | 2 | 1 | no | — |
| 108 | #13242 | — | 2 | 1 | no | — |
| 109 | #13242 | — | 2 | 1 | no | — |
| 110 | #13208 | C2×C4 | 1 | 2 | yes | — |
| 111 | #13182 | C2×C4 | 1 | 2 | yes | — |
| 112 | #13173 | — | 2 | 1 | no | — |
| 113 | #13164 | — | 2 | 2 | no | — |
| 114 | #13146 | — | 2 | 2 | no | — |
| 115 | #13137 | — | 2 | 2 | no | — |
| 116 | #13071 | — | 2 | 2 | no | — |
| 117 | #13027 | — | 2 | 2 | no | — |
| 118 | #13021 | — | 2 | 2 | no | — |
| 119 | #13016 | — | 2 | 2 | no | — |
| 120 | #12995 | — | 2 | 2 | no | — |
| 121 | #12947 | — | 2 | 2 | no | — |
| 122 | #12942 | — | 2 | 2 | no | — |
| 123 | #12927 | — | 2 | 2 | no | — |
| 124 | #12918 | — | 4 | 2 | no | — |
| 125 | #12909 | C2×C4 | 1 | 1 | yes | characteristic |
| 126 | #12900 | C23 | 1 | 2 | yes | — |
| 127 | #12841 | — | 2 | 1 | no | — |
| 128 | #12822 | C2×C4 | 1 | 2 | yes | — |
| 129 | #12792 | — | 2 | 2 | no | — |
| 130 | #12747 | — | 2 | 2 | no | — |
| 131 | #12676 | D4 | 1 | 1 | yes | characteristic |
| 132 | #12671 | D4 | 1 | 1 | yes | characteristic |
| 133 | #12670 | C2×C4 | 1 | 1 | yes | characteristic |
| 134 | #12664 | C2×C4 | 1 | 1 | yes | characteristic |
| 135 | #12664 | C2×C4 | 1 | 1 | yes | characteristic |
| 136 | C4×#364 | C23 | 1 | 1 | yes | characteristic |
| 137 | C4×#364 | C23 | 1 | 1 | yes | characteristic |
| 138 | #12646 | — | 2 | 2 | no | — |
| 139 | #12642 | D4 | 1 | 2 | yes | — |
| 140 | #12641 | C2×C4 | 1 | 2 | yes | — |
| 141 | #12640 | D4 | 1 | 2 | yes | — |
| 142 | #12615 | — | 2 | 1 | no | — |
| 143 | #12615 | — | 2 | 1 | no | — |
| 144 | #12604 | — | 2 | 1 | no | — |
| 145 | C4×#346 | C23 | 1 | 1 | yes | characteristic |
| 146 | C4×#346 | C23 | 1 | 1 | yes | characteristic |
| 147 | #12068 | — | 4 | 2 | no | — |
| 148 | #12068 | — | 4 | 2 | no | — |
| 149 | #12067 | — | 2 | 2 | no | — |
| 150 | #12066 | — | 2 | 2 | no | — |
| 151 | #12065 | — | 2 | 4 | no | — |
| 152 | C2×#1369 | — | 2 | 1 | no | — |
| 153 | C2×#1369 | — | 2 | 1 | no | — |
| 154 | #11999 | — | 2 | 1 | no | — |
| 155 | #11604 | — | 2 | 2 | no | — |
| 156 | #11604 | — | 2 | 2 | no | — |
| 157 | #11604 | — | 2 | 2 | no | — |
| 158 | #11604 | — | 4 | 4 | no | — |
| 159 | C2×#1336 | — | 2 | 2 | no | — |
| 160 | C2×#1336 | — | 2 | 2 | no | — |
| 161 | C2×#1336 | — | 4 | 4 | no | — |
| 162 | C2×#1336 | D4 | 1 | 2 | yes | — |
| 163 | #11602 | — | 2 | 2 | no | — |
| 164 | #11597 | — | 2 | 2 | no | — |
| 165 | #11597 | — | 2 | 1 | no | — |
| 166 | #11584 | — | 4 | 2 | no | — |
| 167 | #11405 | — | 2 | 1 | no | — |
| 168 | C2×#1313 | — | 2 | 1 | no | — |
| 169 | C2×#1313 | — | 2 | 1 | no | — |
| 170 | #8294 | — | 2 | 2 | no | — |
| 171 | #8266 | C23 | 1 | 2 | yes | — |
| 172 | #8266 | C23 | 1 | 1 | yes | characteristic |
| 173 | C8×#104 | — | 4 | 2 | no | — |
| 174 | #8185 | — | 2 | 2 | no | — |
| 175 | C4×#322 | C23 | 1 | 1 | yes | characteristic |
| 176 | #7182 | D4 | 1 | 2 | yes | — |
| 177 | #7180 | — | 2 | 2 | no | — |
| 178 | #7180 | — | 2 | 2 | no | — |
| 179 | #7177 | — | 2 | 2 | no | — |
| 180 | #7177 | — | 2 | 1 | no | — |
| 181 | #7157 | — | 2 | 1 | no | — |
| 182 | #7140 | — | 2 | 1 | no | — |
| 183 | #7106 | — | 4 | 2 | no | — |
| 184 | #3584 | — | 2 | 2 | no | — |
| 185 | #3584 | — | 2 | 2 | no | — |
| 186 | #3573 | — | 4 | 2 | no | — |
| 187 | #3417 | — | 2 | 2 | no | — |
| 188 | #3417 | — | 4 | 1 | no | — |
| 189 | #3416 | — | 2 | 4 | no | — |
| 190 | #3416 | — | 4 | 2 | no | — |
| 191 | #3415 | — | 2 | 2 | no | — |
| 192 | #3415 | — | 4 | 1 | no | — |
| 193 | #3414 | — | 2 | 2 | no | — |
| 194 | #3414 | — | 4 | 2 | no | — |
| 195 | C2×#508 | — | 2 | 1 | no | — |
| 196 | C2×#508 | — | 2 | 1 | no | — |
| 197 | C2×#508 | — | 4 | 2 | no | — |
| 198 | C2×#508 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 199 | #3407 | — | 4 | 2 | no | — |
| 200 | C2×#504 | — | 2 | 1 | no | — |
| 201 | C2×#504 | — | 2 | 1 | no | — |
| 202 | #3293 | C2×C8 | 1 | 4 | yes | complemented |
| 203 | #3292 | C2×C8 | 1 | 4 | yes | complemented |
| 204 | #3291 | — | 4 | 2 | no | — |
| 205 | #3290 | — | 2 | 4 | no | — |
| 206 | #3290 | — | 2 | 4 | no | — |
| 207 | #3147 | C22×C4 | 1 | 2 | yes | — |
| 208 | #3067 | — | 2 | 2 | no | — |
| 209 | #3067 | — | 2 | 2 | no | — |
| 210 | #3018 | — | 4 | 2 | no | — |
| 211 | C8×#41 | — | 4 | 2 | no | — |
| 212 | #2957 | — | 2 | 2 | no | — |
| 213 | #2957 | — | 2 | 2 | no | — |
| 214 | #2957 | — | 2 | 2 | no | — |
| 215 | #2957 | — | 2 | 2 | no | — |
| 216 | #2957 | — | 4 | 4 | no | — |
| 217 | #2957 | — | 4 | 4 | no | — |
| 218 | #2956 | — | 4 | 2 | no | — |
| 219 | #2956 | — | 4 | 2 | no | — |
| 220 | #2956 | — | 8 | 2 | no | — |
| 221 | #2956 | — | 8 | 2 | no | — |
| 222 | #2955 | — | 4 | 2 | no | — |
| 223 | #2955 | — | 4 | 2 | no | — |
| 224 | #2955 | — | 8 | 2 | no | — |
| 225 | #2955 | — | 8 | 2 | no | — |
| 226 | C2×#443 | — | 2 | 2 | no | — |
| 227 | C2×#443 | — | 2 | 2 | no | — |
| 228 | C2×#443 | — | 4 | 4 | no | — |
| 229 | C2×#443 | — | 4 | 4 | no | — |
| 230 | C2×#443 | C22×C4 | 1 | 2 | yes | — |
| 231 | C2×#443 | C22×C4 | 1 | 1 | yes | characteristic |
| 232 | C2×#443 | C2×D4 | 1 | 2 | yes | — |
| 233 | C2×#443 | C2×D4 | 1 | 1 | yes | characteristic |
| 234 | C4×#135 | C2×D4 | 1 | 2 | yes | — |
| 235 | C4×#135 | #41 | 1 | 1 | yes | characteristic |
| 236 | #2931 | — | 2 | 2 | no | — |
| 237 | #2916 | — | 2 | 2 | no | — |
| 238 | #2916 | — | 2 | 2 | no | — |
| 239 | #2901 | — | 4 | 2 | no | — |
| 240 | #2901 | — | 4 | 2 | no | — |
| 241 | C4×#131 | — | 2 | 1 | no | — |
| 242 | C4×#131 | — | 2 | 2 | no | — |
| 243 | #2249 | — | 2 | 1 | no | — |
| 244 | #2249 | — | 2 | 1 | no | — |
| 245 | #2248 | C2×C8 | 1 | 2 | yes | complemented |
| 246 | #2247 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 247 | #2246 | C2×C8 | 1 | 1 | yes | characteristic, complemented |
| 248 | #2223 | — | 2 | 4 | no | — |
| 249 | #2222 | — | 2 | 2 | no | — |
| 250 | #2221 | — | 2 | 2 | no | — |
| 251 | #2214 | C2×C8 | 1 | 4 | yes | complemented |
| 252 | #2213 | C2×C8 | 1 | 4 | yes | complemented |
| 253 | #2212 | — | 2 | 4 | no | — |
| 254 | #2195 | — | 2 | 4 | no | — |
| 255 | #2194 | — | 2 | 4 | no | — |
| 256 | #2193 | — | 2 | 4 | no | — |
| 257 | #2192 | — | 2 | 4 | no | — |
| 258 | #2179 | — | 4 | 2 | no | — |
| 259 | #2179 | — | 4 | 4 | no | — |
| 260 | #2179 | — | 4 | 2 | no | — |
| 261 | #2179 | — | 4 | 4 | no | — |
| 262 | #2179 | — | 4 | 1 | no | — |
| 263 | #2179 | — | 4 | 1 | no | — |
| 264 | #2179 | — | 4 | 1 | no | — |
| 265 | #2179 | — | 4 | 1 | no | — |
| 266 | #2179 | — | 8 | 1 | no | — |
| 267 | #2179 | — | 8 | 1 | no | — |
| 268 | #2179 | D8 | 1 | 2 | yes | — |
| 269 | #2179 | D8 | 1 | 2 | yes | — |
| 270 | #2179 | SD16 | 1 | 2 | yes | — |
| 271 | #2179 | SD16 | 1 | 2 | yes | — |
| 272 | #2178 | — | 4 | 2 | no | — |
| 273 | #2178 | — | 4 | 4 | no | — |
| 274 | #2178 | — | 4 | 2 | no | — |
| 275 | #2178 | — | 4 | 4 | no | — |
| 276 | #2178 | C2×C8 | 1 | 2 | yes | — |
| 277 | #2178 | C2×C8 | 1 | 2 | yes | — |
| 278 | #2178 | M16 | 1 | 2 | yes | — |
| 279 | #2178 | M16 | 1 | 2 | yes | — |
| 280 | #2177 | — | 2 | 1 | no | — |
| 281 | #2176 | — | 2 | 1 | no | — |
| 282 | #2175 | — | 2 | 2 | no | — |
| 283 | #2171 | — | 4 | 4 | no | — |
| 284 | #2170 | — | 2 | 2 | no | — |
| 285 | #2170 | — | 2 | 1 | no | — |
| 286 | #2170 | — | 2 | 1 | no | — |
| 287 | #2170 | — | 4 | 1 | no | — |
| 288 | #2170 | — | 8 | 2 | no | — |
| 289 | #2170 | C2×C8 | 1 | 2 | yes | complemented |
| 290 | #2170 | C2×C8 | 1 | 2 | yes | complemented |
| 291 | #2161 | — | 2 | 2 | no | — |
| 292 | #2161 | — | 4 | 2 | no | — |
| 293 | C2×#368 | — | 2 | 1 | no | — |
| 294 | C2×#368 | — | 2 | 1 | no | — |
| 295 | C2×#368 | — | 4 | 2 | no | — |
| 296 | C2×#368 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 297 | C2×#368 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 298 | #2158 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 299 | #2153 | — | 4 | 2 | no | — |
| 300 | #2153 | — | 8 | 2 | no | — |
| 301 | C2×#364 | — | 2 | 2 | no | — |
| 302 | C2×#364 | — | 2 | 2 | no | — |
| 303 | C2×#364 | — | 4 | 4 | no | — |
| 304 | C2×#364 | C22×C4 | 1 | 1 | yes | characteristic |
| 305 | C2×#364 | C22×C4 | 1 | 1 | yes | characteristic |
| 306 | C2×#364 | C2×D4 | 1 | 2 | yes | — |
| 307 | #2150 | — | 2 | 2 | no | — |
| 308 | #2148 | — | 2 | 2 | no | — |
| 309 | #2145 | — | 2 | 2 | no | — |
| 310 | #2143 | — | 2 | 2 | no | — |
| 311 | #2143 | — | 2 | 2 | no | — |
| 312 | #2143 | — | 4 | 4 | no | — |
| 313 | C2×#359 | — | 2 | 2 | no | — |
| 314 | C2×#359 | — | 2 | 2 | no | — |
| 315 | C2×#359 | — | 4 | 4 | no | — |
| 316 | C2×#359 | C22⋊C4 | 1 | 2 | yes | — |
| 317 | C2×#359 | C22⋊C4 | 1 | 2 | yes | — |
| 318 | #2138 | C22⋊C4 | 1 | 2 | yes | — |
| 319 | #2117 | — | 4 | 2 | no | — |
| 320 | C2×#350 | — | 2 | 1 | no | — |
| 321 | C2×#350 | — | 2 | 1 | no | — |
| 322 | #2108 | — | 2 | 1 | no | — |
| 323 | #2108 | — | 2 | 1 | no | — |
| 324 | #2108 | — | 4 | 1 | no | — |
| 325 | #2108 | — | 4 | 1 | no | — |
| 326 | C4×M32 | — | 2 | 1 | no | — |
| 327 | C4×M32 | — | 2 | 1 | no | — |
| 328 | C4×M32 | — | 4 | 1 | no | — |
| 329 | C2×#346 | — | 2 | 1 | no | — |
| 330 | C2×#346 | — | 2 | 1 | no | — |
| 331 | C2×#346 | — | 4 | 1 | no | — |
| 332 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 333 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 335 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 336 | C2×C4×C16 | — | 2 | 1 | no | — |
| 337 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 338 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 339 | #1976 | — | 2 | 2 | no | — |
| 340 | #1976 | — | 2 | 2 | no | — |
| 341 | #1974 | — | 2 | 2 | no | — |
| 342 | #1974 | — | 2 | 2 | no | — |
| 343 | #1962 | — | 2 | 2 | no | — |
| 344 | #1953 | — | 2 | 2 | no | — |
| 345 | #1953 | — | 2 | 2 | no | — |
| 346 | #1932 | — | 4 | 2 | no | — |
| 347 | #1932 | — | 4 | 2 | no | — |
| 348 | #1906 | — | 4 | 2 | no | — |
| 349 | #1906 | — | 4 | 2 | no | — |
| 350 | #1884 | — | 4 | 2 | no | — |
| 351 | #1881 | — | 4 | 2 | no | — |
| 352 | #1881 | — | 4 | 2 | no | — |
| 353 | #1861 | — | 4 | 2 | no | — |
| 354 | #1861 | — | 4 | 2 | no | — |
| 355 | #1858 | — | 4 | 2 | no | — |
| 356 | #1848 | C22×C4 | 1 | 2 | yes | — |
| 357 | #1814 | — | 2 | 2 | no | — |
| 358 | #1814 | — | 2 | 2 | no | — |
| 359 | #1794 | — | 4 | 2 | no | — |
| 360 | C4×#108 | C2×D4 | 1 | 2 | yes | — |
| 361 | C4×#108 | #41 | 1 | 1 | yes | characteristic |
| 362 | #1772 | C22×C4 | 1 | 2 | yes | — |
| 363 | #1772 | C22×C4 | 1 | 1 | yes | characteristic |
| 364 | #1772 | C2×D4 | 1 | 2 | yes | — |
| 365 | #1772 | C2×D4 | 1 | 1 | yes | characteristic |
| 366 | #1764 | — | 2 | 1 | no | — |
| 367 | #1764 | — | 2 | 2 | no | — |
| 368 | #1764 | — | 2 | 2 | no | — |
| 369 | #1764 | — | 2 | 1 | no | — |
| 370 | C4×#104 | — | 2 | 1 | no | — |
| 371 | C4×#104 | — | 2 | 2 | no | — |
| 372 | #1757 | — | 4 | 2 | no | — |
| 373 | C42×C8 | — | 2 | 1 | no | — |
| 374 | C42×C8 | C24 | 1 | 1 | yes | characteristic |
| 375 | #1580 | — | 2 | 4 | no | — |
| 376 | #1579 | — | 2 | 4 | no | — |
| 377 | SD16⋊C8 | — | 4 | 4 | no | — |
| 378 | #1564 | — | 2 | 2 | no | — |
| 379 | #1564 | — | 2 | 1 | no | — |
| 380 | #1476 | — | 4 | 2 | no | — |
| 381 | #1450 | — | 2 | 1 | no | — |
| 382 | #1450 | — | 2 | 2 | no | — |
| 383 | #1450 | — | 4 | 2 | no | — |
| 384 | C8×M16 | — | 4 | 2 | no | — |
| 385 | C8×M16 | — | 8 | 2 | no | — |
| 386 | C2×#322 | — | 2 | 1 | no | — |
| 387 | C2×#322 | — | 4 | 2 | no | — |
| 388 | C2×#322 | C2×D4 | 1 | 2 | yes | — |
| 389 | #1389 | — | 2 | 2 | no | — |
| 390 | #1388 | — | 2 | 2 | no | — |
| 391 | #1382 | C22⋊C4 | 1 | 2 | yes | — |
| 392 | #1382 | C22⋊C4 | 1 | 2 | yes | — |
| 393 | #1381 | C22⋊C4 | 1 | 2 | yes | — |
| 394 | #1379 | — | 2 | 1 | no | — |
| 395 | #1379 | — | 2 | 1 | no | — |
| 396 | #1378 | — | 4 | 2 | no | — |
| 397 | #1376 | — | 2 | 1 | no | — |
| 398 | #1376 | — | 2 | 1 | no | — |
| 399 | #1369 | — | 4 | 1 | no | — |
| 400 | #1369 | — | 4 | 1 | no | — |
| 401 | #1369 | — | 8 | 1 | no | — |
| 402 | #1368 | — | 2 | 2 | no | — |
| 403 | #1368 | — | 2 | 2 | no | — |
| 404 | #1336 | — | 2 | 4 | no | — |
| 405 | #1336 | — | 4 | 2 | no | — |
| 406 | #1336 | — | 4 | 2 | no | — |
| 407 | #1336 | — | 4 | 4 | no | — |
| 408 | #1336 | — | 4 | 4 | no | — |
| 409 | #1336 | — | 4 | 4 | no | — |
| 410 | #1336 | — | 8 | 2 | no | — |
| 411 | #1335 | — | 8 | 2 | no | — |
| 412 | #1334 | — | 2 | 4 | no | — |
| 413 | #1334 | — | 4 | 1 | no | — |
| 414 | #1333 | — | 2 | 4 | no | — |
| 415 | #1333 | — | 4 | 1 | no | — |
| 416 | D4⋊C16 | — | 8 | 4 | no | — |
| 417 | #1313 | — | 2 | 2 | no | — |
| 418 | #1313 | — | 2 | 2 | no | — |
| 419 | #1313 | — | 4 | 2 | no | — |
| 420 | #1313 | — | 4 | 1 | no | — |
| 421 | #1313 | — | 4 | 1 | no | — |
| 422 | #1278 | — | 4 | 2 | no | — |
| 423 | #1276 | — | 2 | 1 | no | — |
| 424 | #1276 | — | 2 | 2 | no | — |
| 425 | #585 | — | 4 | 2 | no | — |
| 426 | #578 | — | 2 | 4 | no | — |
| 427 | #578 | — | 2 | 4 | no | — |
| 428 | #578 | — | 4 | 2 | no | — |
| 429 | #578 | — | 4 | 2 | no | — |
| 430 | #577 | — | 4 | 4 | no | — |
| 431 | #577 | — | 4 | 4 | no | — |
| 432 | #577 | — | 8 | 2 | no | — |
| 433 | #577 | — | 8 | 2 | no | — |
| 434 | #576 | — | 2 | 4 | no | — |
| 435 | #576 | — | 2 | 4 | no | — |
| 436 | #576 | — | 4 | 2 | no | — |
| 437 | #576 | — | 4 | 2 | no | — |
| 438 | #575 | — | 4 | 2 | no | — |
| 439 | #575 | — | 4 | 2 | no | — |
| 440 | #575 | — | 8 | 2 | no | — |
| 441 | #575 | — | 8 | 2 | no | — |
| 442 | C2×#135 | — | 2 | 2 | no | — |
| 443 | C2×#135 | — | 2 | 2 | no | — |
| 444 | C2×#135 | — | 4 | 4 | no | — |
| 445 | C2×#135 | — | 4 | 4 | no | — |
| 446 | C2×#135 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 447 | C2×#135 | C4×D4 | 1 | 1 | yes | characteristic |
| 448 | #568 | — | 4 | 2 | no | — |
| 449 | #568 | — | 4 | 2 | no | — |
| 450 | #568 | — | 4 | 2 | no | — |
| 451 | #568 | — | 8 | 4 | no | — |
| 452 | #568 | — | 8 | 4 | no | — |
| 453 | #568 | — | 16 | 2 | no | — |
| 454 | C2×#131 | — | 2 | 1 | no | — |
| 455 | C2×#131 | — | 2 | 2 | no | — |
| 456 | C2×#131 | — | 2 | 2 | no | — |
| 457 | C2×#131 | — | 2 | 1 | no | — |
| 458 | C2×#131 | — | 4 | 2 | no | — |
| 459 | C2×#131 | — | 8 | 4 | no | — |
| 460 | C2×#131 | — | 8 | 4 | no | — |
| 461 | C2×#131 | — | 16 | 2 | no | — |
| 462 | #532 | — | 2 | 2 | no | — |
| 463 | C4×#41 | — | 2 | 2 | no | — |
| 464 | C4×#41 | — | 2 | 1 | no | — |
| 465 | #510 | — | 2 | 4 | no | — |
| 466 | #510 | — | 4 | 2 | no | — |
| 467 | #510 | — | 4 | 4 | no | — |
| 468 | #510 | — | 4 | 4 | no | — |
| 469 | #509 | — | 2 | 4 | no | — |
| 470 | #509 | — | 4 | 2 | no | — |
| 471 | #509 | — | 4 | 4 | no | — |
| 472 | #509 | — | 4 | 4 | no | — |
| 473 | #508 | — | 4 | 4 | no | — |
| 474 | #508 | — | 4 | 2 | no | — |
| 475 | #508 | — | 4 | 4 | no | — |
| 476 | #508 | — | 4 | 2 | no | — |
| 477 | #508 | — | 4 | 1 | no | — |
| 478 | #508 | — | 4 | 1 | no | — |
| 479 | #508 | — | 4 | 1 | no | — |
| 480 | #508 | — | 4 | 1 | no | — |
| 481 | #508 | — | 8 | 1 | no | — |
| 482 | #508 | — | 8 | 1 | no | — |
| 483 | #508 | C22⋊C8 | 1 | 2 | yes | — |
| 484 | #508 | C22⋊C8 | 1 | 2 | yes | — |
| 485 | #508 | #102 | 1 | 2 | yes | — |
| 486 | #508 | #102 | 1 | 2 | yes | — |
| 487 | C2×Q32 | — | 2 | 1 | no | — |
| 488 | C2×Q32 | — | 2 | 1 | no | — |
| 489 | C2×Q32 | — | 4 | 2 | no | — |
| 490 | C2×Q32 | #104 | 1 | 1 | yes | characteristic |
| 491 | C2×SD32 | — | 2 | 2 | no | — |
| 492 | C2×SD32 | — | 2 | 2 | no | — |
| 493 | C2×SD32 | — | 4 | 4 | no | — |
| 494 | C2×SD32 | #104 | 1 | 2 | yes | — |
| 495 | C2×D16 | — | 2 | 1 | no | — |
| 496 | C2×D16 | — | 2 | 1 | no | — |
| 497 | C2×D16 | — | 4 | 2 | no | — |
| 498 | C2×D16 | #104 | 1 | 1 | yes | characteristic |
| 499 | #504 | — | 2 | 2 | no | — |
| 500 | #504 | — | 2 | 2 | no | — |
| 501 | #504 | — | 4 | 2 | no | — |
| 502 | #504 | — | 4 | 1 | no | — |
| 503 | #504 | — | 4 | 1 | no | — |
| 504 | #504 | — | 8 | 1 | no | — |
| 505 | #504 | — | 8 | 4 | no | — |
| 506 | #504 | — | 16 | 2 | no | — |
| 507 | C2×M32 | — | 2 | 1 | no | — |
| 508 | C2×M32 | — | 2 | 1 | no | — |
| 509 | C2×M32 | — | 2 | 2 | no | — |
| 510 | C2×M32 | — | 4 | 1 | no | — |
| 511 | C2×M32 | — | 4 | 1 | no | — |
| 512 | C2×M32 | — | 4 | 2 | no | — |
| 513 | C2×M32 | — | 8 | 4 | no | — |
| 514 | C22×C16 | — | 4 | 1 | no | — |
| 515 | C22×C16 | — | 4 | 1 | no | — |
| 516 | C22×C16 | — | 4 | 1 | no | — |
| 517 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 518 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 519 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 520 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 521 | #495 | — | 2 | 2 | no | — |
| 522 | #495 | — | 2 | 2 | no | — |
| 523 | #494 | C22×C8 | 1 | 2 | yes | — |
| 524 | #493 | C22×C8 | 1 | 2 | yes | — |
| 525 | #492 | — | 2 | 2 | no | — |
| 526 | #473 | — | 2 | 4 | no | — |
| 527 | #473 | — | 2 | 4 | no | — |
| 528 | #472 | — | 2 | 4 | no | — |
| 529 | #472 | — | 2 | 4 | no | — |
| 530 | #471 | — | 4 | 4 | no | — |
| 531 | #471 | — | 4 | 4 | no | — |
| 532 | #456 | — | 4 | 4 | no | — |
| 533 | #455 | — | 4 | 4 | no | — |
| 534 | #454 | — | 4 | 4 | no | — |
| 535 | #453 | — | 4 | 4 | no | — |
| 536 | C8×Q8 | — | 4 | 4 | no | — |
| 537 | #444 | — | 8 | 4 | no | — |
| 538 | #444 | — | 8 | 4 | no | — |
| 539 | #444 | — | 8 | 2 | no | — |
| 540 | #444 | — | 8 | 2 | no | — |
| 541 | #444 | — | 8 | 2 | no | — |
| 542 | #444 | — | 8 | 2 | no | — |
| 543 | #444 | — | 8 | 4 | no | — |
| 544 | #444 | — | 8 | 4 | no | — |
| 545 | #443 | — | 2 | 1 | no | — |
| 546 | #443 | — | 2 | 2 | no | — |
| 547 | #443 | — | 2 | 1 | no | — |
| 548 | #443 | — | 2 | 2 | no | — |
| 549 | #443 | — | 2 | 2 | no | — |
| 550 | #443 | — | 2 | 2 | no | — |
| 551 | #443 | — | 2 | 2 | no | — |
| 552 | #443 | — | 4 | 4 | no | — |
| 553 | #443 | — | 4 | 4 | no | — |
| 554 | #443 | — | 4 | 4 | no | — |
| 555 | #443 | — | 4 | 4 | no | — |
| 556 | #443 | — | 4 | 2 | no | — |
| 557 | #443 | — | 4 | 2 | no | — |
| 558 | #443 | — | 4 | 2 | no | — |
| 559 | #443 | — | 4 | 2 | no | — |
| 560 | #443 | — | 4 | 2 | no | — |
| 561 | #443 | — | 4 | 2 | no | — |
| 562 | #443 | — | 4 | 2 | no | — |
| 563 | #443 | — | 4 | 2 | no | — |
| 564 | #443 | — | 8 | 4 | no | — |
| 565 | #443 | — | 8 | 4 | no | — |
| 566 | #443 | — | 8 | 4 | no | — |
| 567 | #443 | — | 8 | 4 | no | — |
| 568 | #443 | C22×C8 | 1 | 4 | yes | — |
| 569 | #443 | C22×C8 | 1 | 2 | yes | — |
| 570 | #443 | C2×M16 | 1 | 4 | yes | — |
| 571 | #443 | #131 | 1 | 2 | yes | — |
| 572 | #443 | C2×D8 | 1 | 4 | yes | — |
| 573 | #443 | C2×SD16 | 1 | 4 | yes | — |
| 574 | #443 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 575 | C4×Q16 | — | 2 | 2 | no | — |
| 576 | C4×Q16 | — | 2 | 1 | no | — |
| 577 | C4×SD16 | — | 4 | 2 | no | — |
| 578 | C4×SD16 | — | 4 | 1 | no | — |
| 579 | C4×D8 | — | 2 | 2 | no | — |
| 580 | C4×D8 | — | 2 | 1 | no | — |
| 581 | #436 | — | 8 | 2 | no | — |
| 582 | C8×D4 | — | 4 | 4 | no | — |
| 583 | C8×D4 | — | 8 | 2 | no | — |
| 584 | C8×D4 | — | 8 | 4 | no | — |
| 585 | #431 | — | 4 | 2 | no | — |
| 586 | #431 | — | 4 | 1 | no | — |
| 587 | #431 | — | 8 | 2 | no | — |
| 588 | #430 | — | 4 | 2 | no | — |
| 589 | #430 | — | 4 | 2 | no | — |
| 590 | #430 | — | 8 | 2 | no | — |
| 591 | #430 | — | 8 | 2 | no | — |
| 592 | C2×#108 | — | 2 | 2 | no | — |
| 593 | C2×#108 | — | 2 | 2 | no | — |
| 594 | C2×#108 | — | 4 | 4 | no | — |
| 595 | C2×#108 | — | 4 | 4 | no | — |
| 596 | C2×#108 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 597 | C2×#108 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 598 | C2×#108 | C4×D4 | 1 | 1 | yes | characteristic |
| 599 | C2×#108 | C4×D4 | 1 | 1 | yes | characteristic |
| 600 | #427 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 601 | #427 | C4×D4 | 1 | 1 | yes | characteristic |
| 602 | #423 | — | 2 | 2 | no | — |
| 603 | #421 | — | 4 | 2 | no | — |
| 604 | #421 | — | 4 | 2 | no | — |
| 605 | #421 | — | 4 | 2 | no | — |
| 606 | #421 | — | 4 | 2 | no | — |
| 607 | #421 | — | 8 | 4 | no | — |
| 608 | #421 | — | 8 | 4 | no | — |
| 609 | C2×#104 | — | 2 | 1 | no | — |
| 610 | C2×#104 | — | 2 | 2 | no | — |
| 611 | C2×#104 | — | 2 | 1 | no | — |
| 612 | C2×#104 | — | 2 | 2 | no | — |
| 613 | C2×#104 | — | 4 | 2 | no | — |
| 614 | C2×#104 | — | 4 | 2 | no | — |
| 615 | C2×#104 | — | 8 | 4 | no | — |
| 616 | C2×#104 | — | 8 | 4 | no | — |
| 617 | #416 | — | 2 | 1 | no | — |
| 618 | #416 | — | 2 | 2 | no | — |
| 619 | #413 | — | 4 | 2 | no | — |
| 620 | #410 | — | 4 | 2 | no | — |
| 621 | #408 | — | 4 | 2 | no | — |
| 622 | #405 | — | 2 | 1 | no | — |
| 623 | #405 | — | 2 | 2 | no | — |
| 624 | #405 | — | 2 | 2 | no | — |
| 625 | #405 | — | 2 | 1 | no | — |
| 626 | #405 | — | 4 | 1 | no | — |
| 627 | #405 | — | 4 | 2 | no | — |
| 628 | #405 | — | 4 | 2 | no | — |
| 629 | #405 | — | 4 | 1 | no | — |
| 630 | C4×M16 | — | 2 | 2 | no | — |
| 631 | C4×M16 | — | 2 | 1 | no | — |
| 632 | C4×M16 | — | 4 | 1 | no | — |
| 633 | C4×M16 | — | 4 | 2 | no | — |
| 634 | C2×C4×C8 | — | 2 | 2 | no | — |
| 635 | C2×C4×C8 | — | 4 | 1 | no | — |
| 636 | C2×C4×C8 | — | 4 | 2 | no | — |
| 637 | C2×C4×C8 | — | 8 | 2 | no | — |
| 638 | C2×C4×C8 | — | 8 | 1 | no | — |
| 639 | C2×C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 640 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 641 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 642 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 643 | C2×C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 644 | C2×C4×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 645 | C43 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 646 | #368 | — | 4 | 1 | no | — |
| 647 | #368 | — | 4 | 1 | no | — |
| 648 | #368 | — | 4 | 4 | no | — |
| 649 | #368 | — | 8 | 1 | no | — |
| 650 | #368 | C22⋊C8 | 1 | 2 | yes | — |
| 651 | #368 | C22⋊C8 | 1 | 2 | yes | — |
| 652 | #368 | #102 | 1 | 2 | yes | — |
| 653 | #368 | #102 | 1 | 2 | yes | — |
| 654 | #367 | — | 2 | 1 | no | — |
| 655 | #366 | — | 2 | 1 | no | — |
| 656 | #364 | — | 2 | 1 | no | — |
| 657 | #364 | — | 2 | 1 | no | — |
| 658 | #364 | — | 2 | 1 | no | — |
| 659 | #364 | — | 2 | 2 | no | — |
| 660 | #364 | — | 2 | 2 | no | — |
| 661 | #364 | — | 4 | 2 | no | — |
| 662 | #364 | — | 4 | 2 | no | — |
| 663 | #364 | — | 4 | 2 | no | — |
| 664 | #364 | — | 4 | 2 | no | — |
| 665 | #364 | — | 8 | 4 | no | — |
| 666 | #364 | C22×C8 | 1 | 2 | yes | — |
| 667 | C4⋊C16 | — | 8 | 2 | no | — |
| 668 | #362 | — | 2 | 4 | no | — |
| 669 | #361 | — | 2 | 4 | no | — |
| 670 | #360 | — | 8 | 2 | no | — |
| 671 | #359 | — | 4 | 4 | no | — |
| 672 | #359 | — | 4 | 2 | no | — |
| 673 | #359 | — | 4 | 2 | no | — |
| 674 | #359 | — | 4 | 4 | no | — |
| 675 | #359 | — | 8 | 2 | no | — |
| 676 | #359 | C22⋊C8 | 1 | 4 | yes | — |
| 677 | #359 | C22⋊C8 | 1 | 4 | yes | — |
| 678 | #359 | #102 | 1 | 4 | yes | — |
| 679 | #359 | #102 | 1 | 4 | yes | — |
| 680 | #358 | — | 2 | 2 | no | — |
| 681 | #357 | — | 2 | 2 | no | — |
| 682 | #350 | — | 2 | 2 | no | — |
| 683 | #350 | — | 2 | 2 | no | — |
| 684 | #350 | — | 4 | 2 | no | — |
| 685 | #350 | — | 8 | 4 | no | — |
| 686 | #346 | — | 2 | 1 | no | — |
| 687 | #346 | — | 2 | 1 | no | — |
| 688 | #346 | — | 2 | 2 | no | — |
| 689 | #346 | — | 2 | 1 | no | — |
| 690 | #346 | — | 2 | 1 | no | — |
| 691 | #346 | — | 4 | 1 | no | — |
| 692 | #346 | — | 4 | 1 | no | — |
| 693 | #346 | — | 4 | 1 | no | — |
| 694 | #346 | — | 4 | 1 | no | — |
| 695 | #346 | — | 4 | 1 | no | — |
| 696 | #346 | — | 4 | 1 | no | — |
| 697 | #346 | — | 4 | 1 | no | — |
| 698 | #346 | — | 4 | 1 | no | — |
| 699 | #346 | C2×D8 | 1 | 1 | yes | characteristic |
| 700 | #346 | C2×D8 | 1 | 1 | yes | characteristic |
| 701 | #346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 702 | #346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 703 | C4×C16 | — | 2 | 1 | no | — |
| 704 | C4×C16 | — | 2 | 1 | no | — |
| 705 | C4×C16 | — | 4 | 2 | no | — |
| 706 | C4×C16 | — | 4 | 1 | no | — |
| 707 | C4×C16 | — | 4 | 1 | no | — |
| 708 | C4×C16 | — | 4 | 1 | no | — |
| 709 | C4×C16 | — | 4 | 1 | no | — |
| 710 | C4×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 711 | C4×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 712 | C4×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 713 | C4×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 714 | #344 | — | 4 | 2 | no | — |
| 715 | #344 | — | 4 | 2 | no | — |
| 716 | #341 | — | 2 | 1 | no | — |
| 717 | #341 | — | 2 | 2 | no | — |
| 718 | #339 | — | 2 | 1 | no | — |
| 719 | #339 | — | 2 | 2 | no | — |
| 720 | #339 | — | 2 | 1 | no | — |
| 721 | #339 | — | 2 | 2 | no | — |
| 722 | #335 | — | 4 | 2 | no | — |
| 723 | #335 | — | 4 | 1 | no | — |
| 724 | #334 | — | 2 | 4 | no | — |
| 725 | #334 | — | 4 | 1 | no | — |
| 726 | Q8⋊C8 | — | 4 | 4 | no | — |
| 727 | D4⋊C8 | — | 4 | 4 | no | — |
| 728 | #322 | — | 2 | 2 | no | — |
| 729 | #322 | — | 2 | 2 | no | — |
| 730 | #322 | — | 2 | 2 | no | — |
| 731 | #322 | — | 2 | 2 | no | — |
| 732 | #322 | — | 4 | 1 | no | — |
| 733 | #322 | — | 4 | 2 | no | — |
| 734 | #322 | — | 8 | 2 | no | — |
| 735 | C82 | — | 4 | 2 | no | — |
| 736 | C82 | — | 4 | 1 | no | — |
| 737 | C82 | — | 8 | 2 | no | — |
| 738 | 2−1+4 | — | 4 | 4 | no | — |
| 739 | 2−1+4 | — | 8 | 2 | no | — |
| 740 | 2−1+4 | — | 8 | 2 | no | — |
| 741 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 742 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 743 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 744 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 745 | C2×#41 | — | 2 | 1 | no | — |
| 746 | C2×#41 | — | 2 | 2 | no | — |
| 747 | C2×#41 | — | 4 | 2 | no | — |
| 748 | C2×#41 | — | 8 | 4 | no | — |
| 749 | C2×#41 | — | 8 | 4 | no | — |
| 750 | C2×#41 | — | 16 | 2 | no | — |
| 751 | #137 | — | 4 | 4 | no | — |
| 752 | #137 | — | 4 | 4 | no | — |
| 753 | #137 | — | 8 | 4 | no | — |
| 754 | #137 | — | 8 | 4 | no | — |
| 755 | #137 | — | 8 | 4 | no | — |
| 756 | #137 | — | 8 | 4 | no | — |
| 757 | #137 | — | 8 | 2 | no | — |
| 758 | #137 | — | 8 | 2 | no | — |
| 759 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 760 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 761 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 762 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 763 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 764 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 765 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 766 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 767 | #135 | — | 2 | 2 | no | — |
| 768 | #135 | — | 2 | 2 | no | — |
| 769 | #135 | — | 2 | 1 | no | — |
| 770 | #135 | — | 2 | 1 | no | — |
| 771 | #135 | — | 4 | 4 | no | — |
| 772 | #135 | — | 4 | 4 | no | — |
| 773 | #135 | — | 4 | 4 | no | — |
| 774 | #135 | — | 4 | 4 | no | — |
| 775 | #135 | — | 4 | 2 | no | — |
| 776 | #135 | — | 4 | 2 | no | — |
| 777 | #135 | — | 4 | 2 | no | — |
| 778 | #135 | — | 4 | 2 | no | — |
| 779 | #135 | — | 4 | 2 | no | — |
| 780 | #135 | — | 4 | 2 | no | — |
| 781 | #135 | — | 4 | 2 | no | — |
| 782 | #135 | — | 4 | 2 | no | — |
| 783 | #135 | — | 8 | 4 | no | — |
| 784 | #135 | — | 8 | 4 | no | — |
| 785 | #135 | — | 8 | 4 | no | — |
| 786 | #135 | — | 8 | 4 | no | — |
| 787 | #135 | C2×C22⋊C8 | 1 | 4 | yes | — |
| 788 | #135 | C2×#102 | 1 | 4 | yes | — |
| 789 | #135 | C8×D4 | 1 | 2 | yes | — |
| 790 | #135 | #442 | 1 | 2 | yes | — |
| 791 | C2×Q16 | — | 2 | 2 | no | — |
| 792 | C2×Q16 | — | 2 | 2 | no | — |
| 793 | C2×Q16 | — | 4 | 4 | no | — |
| 794 | C2×Q16 | — | 4 | 4 | no | — |
| 795 | C2×Q16 | C2×#104 | 1 | 2 | yes | — |
| 796 | C2×Q16 | #444 | 1 | 1 | yes | characteristic |
| 797 | C2×SD16 | — | 2 | 2 | no | — |
| 798 | C2×SD16 | — | 2 | 1 | no | — |
| 799 | C2×SD16 | — | 4 | 2 | no | — |
| 800 | C2×SD16 | — | 4 | 2 | no | — |
| 801 | C2×SD16 | — | 8 | 4 | no | — |
| 802 | C2×SD16 | — | 8 | 4 | no | — |
| 803 | C2×D8 | — | 2 | 2 | no | — |
| 804 | C2×D8 | — | 2 | 2 | no | — |
| 805 | C2×D8 | — | 4 | 4 | no | — |
| 806 | C2×D8 | — | 4 | 4 | no | — |
| 807 | C2×D8 | C2×#104 | 1 | 2 | yes | — |
| 808 | C2×D8 | #444 | 1 | 1 | yes | characteristic |
| 809 | #131 | — | 2 | 2 | no | — |
| 810 | #131 | — | 2 | 2 | no | — |
| 811 | #131 | — | 2 | 4 | no | — |
| 812 | #131 | — | 2 | 4 | no | — |
| 813 | #131 | — | 2 | 4 | no | — |
| 814 | #131 | — | 2 | 4 | no | — |
| 815 | #131 | — | 2 | 4 | no | — |
| 816 | #131 | — | 4 | 1 | no | — |
| 817 | #131 | — | 4 | 1 | no | — |
| 818 | #131 | — | 4 | 2 | no | — |
| 819 | #131 | — | 4 | 2 | no | — |
| 820 | #131 | — | 4 | 2 | no | — |
| 821 | #131 | — | 4 | 2 | no | — |
| 822 | #131 | — | 4 | 2 | no | — |
| 823 | #131 | — | 8 | 4 | no | — |
| 824 | #131 | — | 8 | 4 | no | — |
| 825 | #131 | — | 8 | 4 | no | — |
| 826 | #131 | — | 8 | 4 | no | — |
| 827 | #131 | — | 8 | 2 | no | — |
| 828 | #131 | — | 8 | 2 | no | — |
| 829 | #131 | — | 8 | 2 | no | — |
| 830 | #131 | — | 8 | 2 | no | — |
| 831 | #131 | — | 16 | 4 | no | — |
| 832 | #131 | — | 16 | 4 | no | — |
| 833 | #131 | — | 16 | 4 | no | — |
| 834 | #131 | — | 16 | 2 | no | — |
| 835 | #131 | — | 16 | 2 | no | — |
| 836 | #131 | — | 16 | 4 | no | — |
| 837 | C2×M16 | — | 2 | 1 | no | — |
| 838 | C2×M16 | — | 2 | 2 | no | — |
| 839 | C2×M16 | — | 2 | 1 | no | — |
| 840 | C2×M16 | — | 2 | 2 | no | — |
| 841 | C2×M16 | — | 4 | 1 | no | — |
| 842 | C2×M16 | — | 4 | 2 | no | — |
| 843 | C2×M16 | — | 4 | 2 | no | — |
| 844 | C2×M16 | — | 4 | 1 | no | — |
| 845 | C2×M16 | — | 4 | 2 | no | — |
| 846 | C2×M16 | — | 8 | 2 | no | — |
| 847 | C2×M16 | — | 8 | 4 | no | — |
| 848 | C2×M16 | — | 8 | 4 | no | — |
| 849 | C2×M16 | — | 16 | 4 | no | — |
| 850 | C2×M16 | — | 16 | 4 | no | — |
| 851 | C2×M16 | — | 16 | 2 | no | — |
| 852 | C2×M16 | — | 16 | 4 | no | — |
| 853 | C22×C8 | — | 4 | 1 | no | — |
| 854 | C22×C8 | — | 4 | 2 | no | — |
| 855 | C22×C8 | — | 4 | 2 | no | — |
| 856 | C22×C8 | — | 4 | 1 | no | — |
| 857 | C22×C8 | — | 4 | 2 | no | — |
| 858 | C22×C8 | — | 8 | 4 | no | — |
| 859 | C22×C8 | — | 8 | 2 | no | — |
| 860 | C22×C8 | — | 16 | 4 | no | — |
| 861 | C22×C8 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 862 | C22×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 863 | C22×C8 | D42 | 1 | 1 | yes | characteristic |
| 864 | C22×C8 | #546 | 1 | 1 | yes | characteristic |
| 865 | C4⋊Q8 | — | 2 | 2 | no | — |
| 866 | #127 | — | 2 | 2 | no | — |
| 867 | #124 | — | 4 | 2 | no | — |
| 868 | #121 | — | 8 | 2 | no | — |
| 869 | C4×Q8 | — | 4 | 2 | no | — |
| 870 | C4×Q8 | — | 4 | 1 | no | — |
| 871 | C4×D4 | — | 4 | 2 | no | — |
| 872 | C4×D4 | — | 4 | 1 | no | — |
| 873 | C4×D4 | — | 8 | 2 | no | — |
| 874 | C4×D4 | — | 8 | 1 | no | — |
| 875 | C4×D4 | — | 8 | 2 | no | — |
| 876 | #117 | — | 2 | 1 | no | — |
| 877 | #117 | — | 2 | 2 | no | — |
| 878 | #117 | — | 4 | 2 | no | — |
| 879 | #117 | — | 4 | 1 | no | — |
| 880 | C2×C42 | — | 4 | 2 | no | — |
| 881 | C2×C42 | — | 4 | 1 | no | — |
| 882 | C2×C42 | — | 4 | 1 | no | — |
| 883 | C2×C42 | #518 | 1 | 1 | yes | characteristic |
| 884 | C2×C42 | D42 | 1 | 1 | yes | characteristic |
| 885 | C2×C42 | #546 | 1 | 1 | yes | characteristic |
| 886 | Q32 | — | 4 | 4 | no | — |
| 887 | Q32 | — | 4 | 1 | no | — |
| 888 | Q32 | — | 4 | 1 | no | — |
| 889 | Q32 | — | 8 | 1 | no | — |
| 890 | Q32 | D4⋊C8 | 1 | 2 | yes | — |
| 891 | Q32 | D4⋊C8 | 1 | 2 | yes | — |
| 892 | SD32 | — | 4 | 4 | no | — |
| 893 | SD32 | — | 4 | 4 | no | — |
| 894 | SD32 | — | 4 | 2 | no | — |
| 895 | SD32 | — | 4 | 2 | no | — |
| 896 | SD32 | — | 8 | 2 | no | — |
| 897 | SD32 | D4⋊C8 | 1 | 4 | yes | — |
| 898 | SD32 | D4⋊C8 | 1 | 4 | yes | — |
| 899 | D16 | — | 4 | 4 | no | — |
| 900 | D16 | — | 4 | 1 | no | — |
| 901 | D16 | — | 4 | 1 | no | — |
| 902 | D16 | — | 8 | 1 | no | — |
| 903 | D16 | D4⋊C8 | 1 | 2 | yes | — |
| 904 | D16 | D4⋊C8 | 1 | 2 | yes | — |
| 905 | M32 | — | 2 | 2 | no | — |
| 906 | M32 | — | 4 | 1 | no | — |
| 907 | M32 | — | 4 | 2 | no | — |
| 908 | M32 | — | 4 | 2 | no | — |
| 909 | M32 | — | 4 | 1 | no | — |
| 910 | M32 | — | 4 | 1 | no | — |
| 911 | M32 | — | 4 | 2 | no | — |
| 912 | M32 | — | 4 | 2 | no | — |
| 913 | M32 | — | 8 | 2 | no | — |
| 914 | M32 | — | 8 | 2 | no | — |
| 915 | M32 | — | 8 | 2 | no | — |
| 916 | M32 | — | 16 | 4 | no | — |
| 917 | C2×C16 | — | 2 | 1 | no | — |
| 918 | C2×C16 | — | 2 | 1 | no | — |
| 919 | C2×C16 | — | 2 | 1 | no | — |
| 920 | C2×C16 | — | 2 | 1 | no | — |
| 921 | C2×C16 | — | 2 | 1 | no | — |
| 922 | C2×C16 | — | 2 | 1 | no | — |
| 923 | C2×C16 | — | 2 | 1 | no | — |
| 924 | C2×C16 | — | 4 | 1 | no | — |
| 925 | C2×C16 | — | 4 | 2 | no | — |
| 926 | C2×C16 | — | 4 | 2 | no | — |
| 927 | C2×C16 | — | 4 | 2 | no | — |
| 928 | C2×C16 | — | 4 | 1 | no | — |
| 929 | C2×C16 | — | 4 | 2 | no | — |
| 930 | C2×C16 | — | 8 | 2 | no | — |
| 931 | C2×C16 | — | 8 | 1 | no | — |
| 932 | C2×C16 | — | 8 | 1 | no | — |
| 933 | C2×C16 | — | 8 | 2 | no | — |
| 934 | C2×C16 | — | 16 | 4 | no | — |
| 935 | C2×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 936 | C2×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 937 | C2×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 938 | C2×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 939 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 940 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 941 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 942 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 943 | C2×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 944 | C2×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 945 | #108 | — | 2 | 2 | no | — |
| 946 | #108 | — | 2 | 2 | no | — |
| 947 | #108 | — | 2 | 1 | no | — |
| 948 | #108 | — | 2 | 1 | no | — |
| 949 | #108 | — | 4 | 2 | no | — |
| 950 | #108 | — | 4 | 2 | no | — |
| 951 | #108 | — | 4 | 2 | no | — |
| 952 | #108 | — | 4 | 2 | no | — |
| 953 | #108 | — | 8 | 4 | no | — |
| 954 | #108 | — | 8 | 4 | no | — |
| 955 | #108 | C2×C22⋊C8 | 1 | 4 | yes | — |
| 956 | #108 | C2×#102 | 1 | 4 | yes | — |
| 957 | #108 | C8×D4 | 1 | 2 | yes | — |
| 958 | #108 | #442 | 1 | 2 | yes | — |
| 959 | #107 | — | 2 | 2 | no | — |
| 960 | #107 | — | 2 | 1 | no | — |
| 961 | #106 | — | 2 | 2 | no | — |
| 962 | #106 | — | 2 | 1 | no | — |
| 963 | C4⋊C8 | — | 4 | 4 | no | — |
| 964 | C4⋊C8 | — | 8 | 2 | no | — |
| 965 | C4⋊C8 | — | 8 | 1 | no | — |
| 966 | C4⋊C8 | — | 8 | 4 | no | — |
| 967 | #104 | — | 2 | 2 | no | — |
| 968 | #104 | — | 2 | 4 | no | — |
| 969 | #104 | — | 2 | 4 | no | — |
| 970 | #104 | — | 2 | 2 | no | — |
| 971 | #104 | — | 2 | 4 | no | — |
| 972 | #104 | — | 2 | 4 | no | — |
| 973 | #104 | — | 2 | 4 | no | — |
| 974 | #104 | — | 8 | 4 | no | — |
| 975 | #104 | — | 8 | 4 | no | — |
| 976 | #104 | — | 8 | 4 | no | — |
| 977 | #104 | — | 8 | 4 | no | — |
| 978 | #104 | — | 8 | 2 | no | — |
| 979 | #104 | — | 8 | 2 | no | — |
| 980 | #104 | — | 8 | 2 | no | — |
| 981 | #104 | — | 8 | 2 | no | — |
| 982 | #103 | — | 4 | 2 | no | — |
| 983 | #103 | — | 4 | 1 | no | — |
| 984 | #102 | — | 4 | 2 | no | — |
| 985 | #102 | — | 4 | 1 | no | — |
| 986 | #101 | — | 4 | 4 | no | — |
| 987 | #100 | — | 4 | 4 | no | — |
| 988 | #99 | — | 16 | 2 | no | — |
| 989 | C22⋊C8 | — | 8 | 4 | no | — |
| 990 | C22⋊C8 | — | 8 | 2 | no | — |
| 991 | C22⋊C8 | — | 8 | 1 | no | — |
| 992 | C22⋊C8 | — | 16 | 2 | no | — |
| 993 | #97 | — | 4 | 1 | no | — |
| 994 | #97 | — | 4 | 2 | no | — |
| 995 | #97 | — | 4 | 2 | no | — |
| 996 | #97 | — | 4 | 1 | no | — |
| 997 | #97 | — | 4 | 2 | no | — |
| 998 | #97 | — | 4 | 1 | no | — |
| 999 | C4×C8 | — | 2 | 1 | no | — |
| 1000 | C4×C8 | — | 2 | 1 | no | — |
| 1001 | C4×C8 | — | 2 | 1 | no | — |
| 1002 | C4×C8 | — | 2 | 1 | no | — |
| 1003 | C4×C8 | — | 2 | 2 | no | — |
| 1004 | C4×C8 | — | 2 | 4 | no | — |
| 1005 | C4×C8 | — | 4 | 1 | no | — |
| 1006 | C4×C8 | — | 4 | 2 | no | — |
| 1007 | C4×C8 | — | 4 | 2 | no | — |
| 1008 | C4×C8 | — | 4 | 1 | no | — |
| 1009 | C4×C8 | — | 4 | 2 | no | — |
| 1010 | C4×C8 | — | 4 | 2 | no | — |
| 1011 | C4×C8 | — | 4 | 1 | no | — |
| 1012 | C4×C8 | — | 8 | 4 | no | — |
| 1013 | C4×C8 | — | 8 | 2 | no | — |
| 1014 | C4×C8 | — | 8 | 1 | no | — |
| 1015 | C4×C8 | — | 16 | 2 | no | — |
| 1016 | C4×C8 | C23×C8 | 1 | 1 | yes | characteristic |
| 1017 | C4×C8 | C22×M16 | 1 | 1 | yes | characteristic |
| 1018 | C4×C8 | C2×#131 | 1 | 1 | yes | characteristic |
| 1019 | C4×C8 | #568 | 1 | 1 | yes | characteristic |
| 1020 | C4×C8 | C22×D8 | 1 | 1 | yes | characteristic |
| 1021 | C4×C8 | C22×SD16 | 1 | 1 | yes | characteristic |
| 1022 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1023 | C4×C8 | #576 | 1 | 2 | yes | — |
| 1024 | C4×C8 | #576 | 1 | 1 | yes | characteristic |
| 1025 | C4×C8 | #577 | 1 | 1 | yes | characteristic |
| 1026 | #41 | — | 2 | 4 | no | — |
| 1027 | #41 | — | 2 | 2 | no | — |
| 1028 | #41 | — | 2 | 4 | no | — |
| 1029 | #41 | — | 2 | 2 | no | — |
| 1030 | #41 | — | 4 | 1 | no | — |
| 1031 | #41 | — | 4 | 2 | no | — |
| 1032 | #41 | — | 4 | 1 | no | — |
| 1033 | #41 | — | 4 | 2 | no | — |
| 1034 | #41 | — | 8 | 4 | no | — |
| 1035 | #41 | — | 8 | 4 | no | — |
| 1036 | #41 | — | 8 | 4 | no | — |
| 1037 | #41 | — | 8 | 4 | no | — |
| 1038 | #41 | — | 8 | 2 | no | — |
| 1039 | #41 | — | 8 | 2 | no | — |
| 1040 | #41 | — | 8 | 2 | no | — |
| 1041 | #41 | — | 8 | 2 | no | — |
| 1042 | #41 | — | 16 | 4 | no | — |
| 1043 | #41 | — | 16 | 4 | no | — |
| 1044 | #41 | — | 16 | 4 | no | — |
| 1045 | #41 | — | 16 | 4 | no | — |
| 1046 | #41 | — | 16 | 2 | no | — |
| 1047 | #41 | — | 16 | 2 | no | — |
| 1048 | C2×Q8 | — | 2 | 2 | no | — |
| 1049 | C2×Q8 | — | 2 | 1 | no | — |
| 1050 | C2×Q8 | — | 4 | 2 | no | — |
| 1051 | C2×Q8 | — | 8 | 4 | no | — |
| 1052 | C2×Q8 | — | 8 | 4 | no | — |
| 1053 | C2×Q8 | — | 16 | 2 | no | — |
| 1054 | C2×D4 | — | 2 | 2 | no | — |
| 1055 | C2×D4 | — | 2 | 1 | no | — |
| 1056 | C2×D4 | — | 4 | 2 | no | — |
| 1057 | C2×D4 | — | 4 | 1 | no | — |
| 1058 | C2×D4 | — | 4 | 2 | no | — |
| 1059 | C2×D4 | — | 8 | 2 | no | — |
| 1060 | C2×D4 | — | 8 | 4 | no | — |
| 1061 | C2×D4 | — | 8 | 4 | no | — |
| 1062 | C2×D4 | — | 8 | 2 | no | — |
| 1063 | C2×D4 | — | 16 | 4 | no | — |
| 1064 | C2×D4 | — | 16 | 2 | no | — |
| 1065 | C2×D4 | — | 16 | 4 | no | — |
| 1066 | C2×D4 | — | 16 | 4 | no | — |
| 1067 | C22×C4 | — | 2 | 1 | no | — |
| 1068 | C22×C4 | — | 2 | 1 | no | — |
| 1069 | C22×C4 | — | 2 | 1 | no | — |
| 1070 | C22×C4 | — | 4 | 1 | no | — |
| 1071 | C22×C4 | — | 4 | 2 | no | — |
| 1072 | C22×C4 | — | 8 | 2 | no | — |
| 1073 | C22×C4 | — | 8 | 1 | no | — |
| 1074 | C22×C4 | — | 8 | 2 | no | — |
| 1075 | C22×C4 | — | 16 | 4 | no | — |
| 1076 | C22×C4 | D4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 1077 | Q16 | — | 2 | 2 | no | — |
| 1078 | Q16 | — | 2 | 1 | no | — |
| 1079 | Q16 | — | 4 | 2 | no | — |
| 1080 | Q16 | — | 4 | 2 | no | — |
| 1081 | Q16 | — | 4 | 2 | no | — |
| 1082 | Q16 | — | 4 | 2 | no | — |
| 1083 | Q16 | — | 8 | 4 | no | — |
| 1084 | Q16 | — | 8 | 4 | no | — |
| 1085 | Q16 | C2×D4⋊C8 | 1 | 4 | yes | — |
| 1086 | Q16 | #1580 | 1 | 2 | yes | — |
| 1087 | SD16 | — | 2 | 4 | no | — |
| 1088 | SD16 | — | 2 | 4 | no | — |
| 1089 | SD16 | — | 2 | 2 | no | — |
| 1090 | SD16 | — | 2 | 2 | no | — |
| 1091 | SD16 | — | 8 | 4 | no | — |
| 1092 | SD16 | — | 8 | 4 | no | — |
| 1093 | SD16 | — | 8 | 4 | no | — |
| 1094 | SD16 | — | 8 | 4 | no | — |
| 1095 | SD16 | — | 8 | 2 | no | — |
| 1096 | SD16 | — | 8 | 2 | no | — |
| 1097 | SD16 | — | 8 | 2 | no | — |
| 1098 | SD16 | — | 8 | 2 | no | — |
| 1099 | D8 | — | 2 | 2 | no | — |
| 1100 | D8 | — | 2 | 1 | no | — |
| 1101 | D8 | — | 4 | 2 | no | — |
| 1102 | D8 | — | 4 | 2 | no | — |
| 1103 | D8 | — | 4 | 2 | no | — |
| 1104 | D8 | — | 4 | 2 | no | — |
| 1105 | D8 | — | 8 | 4 | no | — |
| 1106 | D8 | — | 8 | 4 | no | — |
| 1107 | D8 | C2×D4⋊C8 | 1 | 4 | yes | — |
| 1108 | D8 | #1580 | 1 | 2 | yes | — |
| 1109 | M16 | — | 2 | 2 | no | — |
| 1110 | M16 | — | 2 | 4 | no | — |
| 1111 | M16 | — | 2 | 4 | no | — |
| 1112 | M16 | — | 2 | 2 | no | — |
| 1113 | M16 | — | 4 | 1 | no | — |
| 1114 | M16 | — | 4 | 2 | no | — |
| 1115 | M16 | — | 4 | 1 | no | — |
| 1116 | M16 | — | 4 | 2 | no | — |
| 1117 | M16 | — | 4 | 2 | no | — |
| 1118 | M16 | — | 4 | 4 | no | — |
| 1119 | M16 | — | 4 | 4 | no | — |
| 1120 | M16 | — | 4 | 4 | no | — |
| 1121 | M16 | — | 4 | 2 | no | — |
| 1122 | M16 | — | 4 | 4 | no | — |
| 1123 | M16 | — | 4 | 4 | no | — |
| 1124 | M16 | — | 8 | 2 | no | — |
| 1125 | M16 | — | 8 | 2 | no | — |
| 1126 | M16 | — | 16 | 4 | no | — |
| 1127 | M16 | — | 16 | 4 | no | — |
| 1128 | M16 | — | 16 | 4 | no | — |
| 1129 | M16 | — | 16 | 2 | no | — |
| 1130 | M16 | — | 16 | 2 | no | — |
| 1131 | C2×C8 | — | 2 | 1 | no | — |
| 1132 | C2×C8 | — | 2 | 1 | no | — |
| 1133 | C2×C8 | — | 2 | 1 | no | — |
| 1134 | C2×C8 | — | 4 | 1 | no | — |
| 1135 | C2×C8 | — | 4 | 1 | no | — |
| 1136 | C2×C8 | — | 4 | 2 | no | — |
| 1137 | C2×C8 | — | 4 | 2 | no | — |
| 1138 | C2×C8 | — | 4 | 2 | no | — |
| 1139 | C2×C8 | — | 4 | 4 | no | — |
| 1140 | C2×C8 | — | 4 | 4 | no | — |
| 1141 | C2×C8 | — | 4 | 4 | no | — |
| 1142 | C2×C8 | — | 4 | 2 | no | — |
| 1143 | C2×C8 | — | 4 | 4 | no | — |
| 1144 | C2×C8 | — | 4 | 4 | no | — |
| 1145 | C2×C8 | — | 4 | 4 | no | — |
| 1146 | C2×C8 | — | 8 | 4 | no | — |
| 1147 | C2×C8 | — | 8 | 2 | no | — |
| 1148 | C2×C8 | — | 16 | 4 | no | — |
| 1149 | C2×C8 | — | 16 | 4 | no | — |
| 1150 | C2×C8 | — | 16 | 4 | no | — |
| 1151 | C2×C8 | — | 16 | 2 | no | — |
| 1152 | C2×C8 | — | 16 | 2 | no | — |
| 1153 | C2×C8 | — | 16 | 2 | no | — |
| 1154 | C2×C8 | — | 16 | 1 | no | — |
| 1155 | C2×C8 | — | 32 | 4 | no | — |
| 1156 | C2×C8 | C22×C22⋊C8 | 1 | 1 | yes | characteristic |
| 1157 | C2×C8 | #2880 | 1 | 1 | yes | characteristic |
| 1158 | C2×C8 | C22×#102 | 1 | 1 | yes | characteristic |
| 1159 | C2×C8 | #2897 | 1 | 1 | yes | characteristic |
| 1160 | C2×C8 | C22×#104 | 1 | 1 | yes | characteristic |
| 1161 | C2×C8 | #2901 | 1 | 1 | yes | characteristic |
| 1162 | C2×C8 | C2×C8×D4 | 1 | 1 | yes | characteristic |
| 1163 | C2×C8 | D4×M16 | 1 | 1 | yes | characteristic |
| 1164 | C2×C8 | C2×#442 | 1 | 1 | yes | characteristic |
| 1165 | C2×C8 | #2948 | 1 | 1 | yes | characteristic |
| 1166 | C2×C8 | C2×#444 | 1 | 1 | yes | characteristic |
| 1167 | C2×C8 | #2957 | 1 | 1 | yes | characteristic |
| 1168 | C2×C8 | #3264 | 1 | 2 | yes | — |
| 1169 | C2×C8 | D4×D8 | 1 | 1 | yes | characteristic |
| 1170 | C2×C8 | D4×SD16 | 1 | 1 | yes | characteristic |
| 1171 | C2×C8 | #3288 | 1 | 2 | yes | — |
| 1172 | C4⋊C4 | — | 4 | 2 | no | — |
| 1173 | C4⋊C4 | — | 4 | 1 | no | — |
| 1174 | C4⋊C4 | — | 8 | 1 | no | — |
| 1175 | C4⋊C4 | — | 8 | 2 | no | — |
| 1176 | C4⋊C4 | — | 8 | 2 | no | — |
| 1177 | C22⋊C4 | — | 4 | 1 | no | — |
| 1178 | C22⋊C4 | — | 4 | 2 | no | — |
| 1179 | C22⋊C4 | — | 8 | 1 | no | — |
| 1180 | C22⋊C4 | — | 8 | 2 | no | — |
| 1181 | C22⋊C4 | — | 16 | 2 | no | — |
| 1182 | C42 | — | 2 | 1 | no | — |
| 1183 | C42 | — | 2 | 1 | no | — |
| 1184 | C42 | — | 2 | 1 | no | — |
| 1185 | C42 | — | 4 | 1 | no | — |
| 1186 | C42 | — | 4 | 2 | no | — |
| 1187 | C42 | — | 8 | 2 | no | — |
| 1188 | C42 | — | 8 | 1 | no | — |
| 1189 | C42 | — | 8 | 2 | no | — |
| 1190 | C42 | #2972 | 1 | 1 | yes | characteristic |
| 1191 | C42 | #2974 | 1 | 1 | yes | characteristic |
| 1192 | C42 | #3264 | 1 | 2 | yes | — |
| 1193 | C42 | #3294 | 1 | 1 | yes | characteristic |
| 1194 | C42 | #3295 | 1 | 1 | yes | characteristic |
| 1195 | C16 | — | 2 | 1 | no | — |
| 1196 | C16 | — | 2 | 1 | no | — |
| 1197 | C16 | — | 2 | 1 | no | — |
| 1198 | C16 | — | 2 | 1 | no | — |
| 1199 | C16 | — | 4 | 2 | no | — |
| 1200 | C16 | — | 4 | 1 | no | — |
| 1201 | C16 | — | 8 | 2 | no | — |
| 1202 | C16 | — | 8 | 2 | no | — |
| 1203 | C16 | — | 8 | 1 | no | — |
| 1204 | C16 | — | 16 | 2 | no | — |
| 1205 | C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1206 | C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1207 | C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1208 | C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1209 | C23 | — | 4 | 1 | no | — |
| 1210 | C23 | — | 4 | 2 | no | — |
| 1211 | C23 | — | 8 | 2 | no | — |
| 1212 | C23 | — | 16 | 4 | no | — |
| 1213 | C23 | #22461 | 1 | 1 | yes | characteristic |
| 1214 | Q8 | — | 2 | 4 | no | — |
| 1215 | Q8 | — | 2 | 2 | no | — |
| 1216 | Q8 | — | 4 | 1 | no | — |
| 1217 | Q8 | — | 4 | 2 | no | — |
| 1218 | Q8 | — | 8 | 2 | no | — |
| 1219 | Q8 | — | 8 | 2 | no | — |
| 1220 | Q8 | — | 16 | 4 | no | — |
| 1221 | D4 | — | 2 | 4 | no | — |
| 1222 | D4 | — | 2 | 2 | no | — |
| 1223 | D4 | — | 4 | 2 | no | — |
| 1224 | D4 | — | 4 | 4 | no | — |
| 1225 | D4 | — | 4 | 4 | no | — |
| 1226 | D4 | — | 4 | 2 | no | — |
| 1227 | D4 | — | 4 | 1 | no | — |
| 1228 | D4 | — | 4 | 2 | no | — |
| 1229 | D4 | — | 8 | 2 | no | — |
| 1230 | D4 | — | 8 | 2 | no | — |
| 1231 | D4 | — | 16 | 4 | no | — |
| 1232 | D4 | — | 16 | 4 | no | — |
| 1233 | D4 | — | 16 | 4 | no | — |
| 1234 | D4 | — | 16 | 4 | no | — |
| 1235 | D4 | — | 16 | 2 | no | — |
| 1236 | D4 | — | 16 | 2 | no | — |
| 1237 | C2×C4 | — | 2 | 1 | no | — |
| 1238 | C2×C4 | — | 2 | 1 | no | — |
| 1239 | C2×C4 | — | 2 | 1 | no | — |
| 1240 | C2×C4 | — | 2 | 1 | no | — |
| 1241 | C2×C4 | — | 2 | 2 | no | — |
| 1242 | C2×C4 | — | 4 | 2 | no | — |
| 1243 | C2×C4 | — | 4 | 1 | no | — |
| 1244 | C2×C4 | — | 4 | 2 | no | — |
| 1245 | C2×C4 | — | 4 | 2 | no | — |
| 1246 | C2×C4 | — | 4 | 4 | no | — |
| 1247 | C2×C4 | — | 4 | 2 | no | — |
| 1248 | C2×C4 | — | 4 | 4 | no | — |
| 1249 | C2×C4 | — | 8 | 1 | no | — |
| 1250 | C2×C4 | — | 8 | 1 | no | — |
| 1251 | C2×C4 | — | 8 | 2 | no | — |
| 1252 | C2×C4 | — | 8 | 1 | no | — |
| 1253 | C2×C4 | — | 8 | 2 | no | — |
| 1254 | C2×C4 | — | 16 | 4 | no | — |
| 1255 | C2×C4 | — | 16 | 4 | no | — |
| 1256 | C2×C4 | — | 16 | 4 | no | — |
| 1257 | C2×C4 | — | 16 | 4 | no | — |
| 1258 | C2×C4 | — | 16 | 2 | no | — |
| 1259 | C2×C4 | — | 16 | 2 | no | — |
| 1260 | C2×C4 | — | 32 | 1 | no | — |
| 1261 | C2×C4 | D4×C22⋊C8 | 1 | 1 | yes | characteristic |
| 1262 | C2×C4 | D4×#102 | 1 | 1 | yes | characteristic |
| 1263 | C2×C4 | D4×#104 | 1 | 1 | yes | characteristic |
| 1264 | C2×C4 | #22436 | 1 | 1 | yes | characteristic |
| 1265 | C2×C4 | #22452 | 1 | 1 | yes | characteristic |
| 1266 | C2×C4 | #22463 | 1 | 1 | yes | characteristic |
| 1267 | C8 | — | 4 | 2 | no | — |
| 1268 | C8 | — | 4 | 4 | no | — |
| 1269 | C8 | — | 4 | 2 | no | — |
| 1270 | C8 | — | 4 | 1 | no | — |
| 1271 | C8 | — | 4 | 4 | no | — |
| 1272 | C8 | — | 8 | 4 | no | — |
| 1273 | C8 | — | 16 | 4 | no | — |
| 1274 | C8 | — | 16 | 2 | no | — |
| 1275 | C8 | — | 32 | 1 | no | — |
| 1276 | C8 | C22×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1277 | C8 | #17438 | 1 | 1 | yes | characteristic |
| 1278 | C8 | #17507 | 1 | 1 | yes | characteristic |
| 1279 | C8 | #17517 | 1 | 1 | yes | characteristic |
| 1280 | C8 | C2×#1580 | 1 | 1 | yes | characteristic |
| 1281 | C8 | #17854 | 1 | 1 | yes | characteristic |
| 1282 | C8 | #18044 | 1 | 1 | yes | characteristic |
| 1283 | C8 | #18064 | 1 | 1 | yes | characteristic |
| 1284 | C8 | #19755 | 1 | 2 | yes | — |
| 1285 | C8 | #19763 | 1 | 2 | yes | — |
| 1286 | C22 | — | 4 | 1 | no | — |
| 1287 | C22 | — | 4 | 2 | no | — |
| 1288 | C22 | — | 4 | 4 | no | — |
| 1289 | C22 | — | 16 | 2 | no | — |
| 1290 | C22 | — | 16 | 1 | no | — |
| 1291 | C22 | — | 16 | 2 | no | — |
| 1292 | C22 | — | 32 | 2 | no | — |
| 1293 | C22 | — | 64 | 4 | no | — |
| 1294 | C22 | #220220 | 1 | 1 | yes | characteristic |
| 1295 | C22 | #221016 | 1 | 1 | yes | characteristic |
| 1296 | C22 | #221064 | 1 | 1 | yes | characteristic |
| 1297 | C4 | — | 2 | 2 | no | — |
| 1298 | C4 | — | 4 | 2 | no | — |
| 1299 | C4 | — | 4 | 1 | no | — |
| 1300 | C4 | — | 4 | 1 | no | — |
| 1301 | C4 | — | 4 | 1 | no | — |
| 1302 | C4 | — | 4 | 2 | no | — |
| 1303 | C4 | — | 4 | 4 | no | — |
| 1304 | C4 | — | 16 | 2 | no | — |
| 1305 | C4 | — | 16 | 1 | no | — |
| 1306 | C4 | — | 16 | 2 | no | — |
| 1307 | C4 | D4×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1308 | C4 | #220116 | 1 | 1 | yes | characteristic |
| 1309 | C4 | #220728 | 1 | 1 | yes | characteristic |
| 1310 | C4 | #221104 | 1 | 1 | yes | characteristic |
| 1311 | C2 | — | 2 | 1 | no | — |
| 1312 | C2 | — | 2 | 1 | no | — |
| 1313 | C2 | — | 2 | 1 | no | — |
| 1314 | C2 | — | 8 | 4 | no | — |
| 1315 | C2 | — | 8 | 2 | no | — |
| 1316 | C2 | — | 32 | 2 | no | — |
| 1317 | C2 | #72216473 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C4 | #220728 |
| commutator | C4×C8 | C23×C8 |
| Frattini, cosocle | C42×C8 | C24 |
| socle | C2 | #72216473 |
| prime radical | #7623661 | C4 |
| LCS | G ▷ C4×C8 ▷ C2×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C4 ◁ C22×C8 ◁ C42×C8 ◁ G | |
| LECS | G ▷ C42×C8 ▷ C22×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72225446 | C2 | semidirect |
| 2. #72225445 | C2 | semidirect |
| 3. #72225442 | C2 | semidirect |
| 4. #72225439 | C2 | semidirect |
| 5. #72225426 | C2 | semidirect |
| 6. #72225419 | C2 | semidirect |
| 7. #72225414 | C2 | semidirect |
| 9. #72225174 | C2 | semidirect |
| 10. #72216234 | C2 | semidirect |
| 11. #72216219 | C2 | semidirect |
| 21. #497829 | C22 | semidirect |
| 33. #184013 | C22 | semidirect |
| 34. #140841 | C22 | semidirect |
| 35. #140533 | C22 | semidirect |
| 36. #140516 | C22 | semidirect |
| 41. #135718 | C22 | semidirect |
| 43. #134373 | C22 | semidirect |
| 46. #129088 | C22 | semidirect |
| 47. #129051 | C22 | semidirect |
| 50. #128537 | C22 | semidirect |
| 52. C4×#1313 | C22 | semidirect |
| 53. #124213 | C22 | semidirect |
| 54. #93448 | C22 | semidirect |
| 55. #93273 | C22 | semidirect |
| 56. #93266 | C22 | semidirect |
| 61. #33860 | C8 | semidirect |
| 63. #33858 | C8 | semidirect |
| 65. #33856 | C8 | semidirect |
| 202. #3293 | C2×C8 | semidirect |
| 203. #3292 | C2×C8 | semidirect |
| 245. #2248 | C2×C8 | semidirect |
| 246. #2247 | C2×C8 | semidirect |
| 247. #2246 | C2×C8 | semidirect |
| 251. #2214 | C2×C8 | semidirect |
| 252. #2213 | C2×C8 | semidirect |
| 289. #2170 | C2×C8 | semidirect |
| 290. #2170 | C2×C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72225446 | 2 |
| #72225445 | 2 |
| #72225442 | 2 |
| #72225439 | 2 |
| #72225426 | 2 |
| #72225419 | 2 |
| #72225414 | 2 |
| #72225388 | 2 |
| #72225174 | 2 |
| #72216234 | 2 |
| #72216219 | 2 |