Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
2521 conjugacy classes of subgroups.
The subgroup lattice has 1321 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #7623475 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #6389387 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #6389364 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #498470 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #498464 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #498423 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #498419 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #498334 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #498331 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #498277 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #498276 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #497033 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #497030 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #496696 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #495897 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #495895 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #495572 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #495566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | #493129 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #60682 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#3176 | C22 | 1 | 1 | yes | characteristic |
| 22 | #60267 | — | 2 | 1 | no | — |
| 23 | #34418 | — | 2 | 1 | no | — |
| 24 | #33826 | C4 | 1 | 2 | yes | complemented |
| 25 | #33826 | C4 | 1 | 2 | yes | complemented |
| 26 | #33825 | C4 | 1 | 2 | yes | complemented |
| 27 | #33825 | C4 | 1 | 2 | yes | complemented |
| 28 | #33823 | C4 | 1 | 4 | yes | complemented |
| 29 | #33823 | C4 | 1 | 4 | yes | complemented |
| 30 | #33630 | C22 | 1 | 2 | yes | — |
| 31 | #33627 | C22 | 1 | 2 | yes | — |
| 32 | #33605 | C22 | 1 | 2 | yes | — |
| 33 | #33605 | C22 | 1 | 2 | yes | — |
| 34 | #33582 | C22 | 1 | 2 | yes | — |
| 35 | #33580 | C22 | 1 | 2 | yes | — |
| 36 | C2×AGL(1,ℤ/16) | C22 | 1 | 2 | yes | — |
| 37 | C2×AGL(1,ℤ/16) | C22 | 1 | 2 | yes | — |
| 38 | #33397 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#2110 | C22 | 1 | 1 | yes | characteristic |
| 40 | C22×#347 | C22 | 1 | 1 | yes | characteristic |
| 41 | #33324 | C22 | 1 | 1 | yes | characteristic |
| 42 | #23236 | — | 2 | 2 | no | — |
| 43 | #23231 | — | 2 | 2 | no | — |
| 44 | #23188 | C22 | 1 | 2 | yes | — |
| 45 | #23180 | C22 | 1 | 2 | yes | — |
| 46 | #23171 | C22 | 1 | 2 | yes | — |
| 47 | #23164 | C22 | 1 | 2 | yes | — |
| 48 | #22816 | C22 | 1 | 2 | yes | — |
| 49 | #22803 | C22 | 1 | 2 | yes | — |
| 50 | #22784 | — | 2 | 2 | no | — |
| 51 | #22774 | — | 2 | 2 | no | — |
| 52 | #22686 | C22 | 1 | 2 | yes | — |
| 53 | #22670 | C22 | 1 | 2 | yes | — |
| 54 | #22207 | — | 2 | 1 | no | — |
| 55 | #22205 | — | 2 | 1 | no | — |
| 56 | #22199 | — | 2 | 1 | no | — |
| 57 | #22190 | — | 2 | 1 | no | — |
| 58 | #21901 | — | 2 | 1 | no | — |
| 59 | #21897 | — | 2 | 1 | no | — |
| 60 | #21547 | C22 | 1 | 2 | yes | — |
| 61 | #21546 | C22 | 1 | 2 | yes | — |
| 62 | #21529 | C22 | 1 | 2 | yes | — |
| 63 | #21526 | C22 | 1 | 2 | yes | — |
| 64 | #20828 | C22 | 1 | 1 | yes | characteristic |
| 65 | #20820 | C22 | 1 | 1 | yes | characteristic |
| 66 | #20436 | C22 | 1 | 1 | yes | characteristic |
| 67 | #13289 | C22 | 1 | 1 | yes | characteristic |
| 68 | #13289 | C22 | 1 | 1 | yes | characteristic |
| 69 | #13288 | C22 | 1 | 1 | yes | characteristic |
| 70 | #13287 | C22 | 1 | 1 | yes | characteristic |
| 71 | #13249 | C22 | 1 | 2 | yes | — |
| 72 | #13249 | C22 | 1 | 2 | yes | — |
| 73 | #13213 | C22 | 1 | 1 | yes | characteristic |
| 74 | #13213 | C22 | 1 | 1 | yes | characteristic |
| 75 | #13211 | C22 | 1 | 1 | yes | characteristic |
| 76 | #13210 | C22 | 1 | 1 | yes | characteristic |
| 77 | #13185 | C22 | 1 | 2 | yes | — |
| 78 | #13185 | C22 | 1 | 2 | yes | — |
| 79 | #13184 | C22 | 1 | 2 | yes | — |
| 80 | #13183 | C22 | 1 | 2 | yes | — |
| 81 | #13174 | C22 | 1 | 2 | yes | — |
| 82 | #13174 | C22 | 1 | 2 | yes | — |
| 83 | #13155 | C22 | 1 | 2 | yes | — |
| 84 | #13155 | C22 | 1 | 2 | yes | — |
| 85 | #13153 | C22 | 1 | 2 | yes | — |
| 86 | #13153 | C22 | 1 | 2 | yes | — |
| 87 | #13143 | C22 | 1 | 2 | yes | — |
| 88 | #13143 | C22 | 1 | 2 | yes | — |
| 89 | #13142 | C22 | 1 | 2 | yes | — |
| 90 | #13142 | C22 | 1 | 2 | yes | — |
| 91 | #13119 | C22 | 1 | 2 | yes | — |
| 92 | #13119 | C22 | 1 | 2 | yes | — |
| 93 | #13118 | C22 | 1 | 2 | yes | — |
| 94 | #13118 | C22 | 1 | 2 | yes | — |
| 95 | #13067 | C22 | 1 | 2 | yes | — |
| 96 | #13067 | C22 | 1 | 2 | yes | — |
| 97 | #13065 | C22 | 1 | 2 | yes | — |
| 98 | #13065 | C22 | 1 | 2 | yes | — |
| 99 | #13040 | C22 | 1 | 2 | yes | — |
| 100 | #13040 | C22 | 1 | 2 | yes | — |
| 101 | #13037 | C22 | 1 | 2 | yes | — |
| 102 | #13037 | C22 | 1 | 2 | yes | — |
| 103 | #12956 | C22 | 1 | 2 | yes | — |
| 104 | #12956 | C22 | 1 | 2 | yes | — |
| 105 | #12955 | C22 | 1 | 2 | yes | — |
| 106 | #12955 | C22 | 1 | 2 | yes | — |
| 107 | #12831 | C22 | 1 | 2 | yes | — |
| 108 | #12831 | C22 | 1 | 2 | yes | — |
| 109 | #12677 | C22 | 1 | 2 | yes | — |
| 110 | #12677 | C22 | 1 | 2 | yes | — |
| 111 | #12666 | C22 | 1 | 2 | yes | — |
| 112 | #12666 | C22 | 1 | 2 | yes | — |
| 113 | #12666 | C22 | 1 | 2 | yes | — |
| 114 | #12666 | C22 | 1 | 2 | yes | — |
| 115 | #12650 | C22 | 1 | 2 | yes | — |
| 116 | #12650 | C22 | 1 | 2 | yes | — |
| 117 | #12647 | C22 | 1 | 2 | yes | — |
| 118 | #12647 | C22 | 1 | 2 | yes | — |
| 119 | C4×#361 | C22 | 1 | 2 | yes | — |
| 120 | C4×#361 | C22 | 1 | 2 | yes | — |
| 121 | C4×#360 | C22 | 1 | 2 | yes | — |
| 122 | C4×#360 | C22 | 1 | 2 | yes | — |
| 123 | #12547 | C22 | 1 | 1 | yes | characteristic |
| 124 | C2×#1375 | C22 | 1 | 1 | yes | characteristic |
| 125 | #3455 | — | 2 | 1 | no | — |
| 126 | C2×#540 | — | 2 | 1 | no | — |
| 127 | C2×#509 | C23 | 1 | 2 | yes | — |
| 128 | C2×#509 | C23 | 1 | 2 | yes | — |
| 129 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 130 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 131 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 132 | C22×M32 | C23 | 1 | 1 | yes | characteristic |
| 133 | #3177 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 134 | #3177 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 135 | #3176 | — | 2 | 1 | no | — |
| 136 | #3176 | — | 2 | 1 | no | — |
| 137 | #3176 | — | 2 | 1 | no | — |
| 138 | #3176 | — | 2 | 1 | no | — |
| 139 | #3176 | C2×C4 | 1 | 2 | yes | — |
| 140 | #3176 | C2×C4 | 1 | 2 | yes | — |
| 141 | #3176 | C2×C4 | 1 | 2 | yes | — |
| 142 | #3176 | C2×C4 | 1 | 2 | yes | — |
| 143 | #3176 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 144 | #3176 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 145 | #3175 | C2×C4 | 1 | 2 | yes | complemented |
| 146 | #3175 | C2×C4 | 1 | 2 | yes | complemented |
| 147 | #3174 | — | 2 | 1 | no | — |
| 148 | #3174 | — | 2 | 1 | no | — |
| 149 | #3173 | — | 2 | 1 | no | — |
| 150 | #3173 | — | 2 | 1 | no | — |
| 151 | #3160 | C23 | 1 | 1 | yes | characteristic |
| 152 | C2×#499 | C23 | 1 | 1 | yes | characteristic |
| 153 | #3147 | C23 | 1 | 1 | yes | characteristic |
| 154 | C2×#493 | C23 | 1 | 1 | yes | characteristic |
| 155 | #3135 | — | 2 | 1 | no | — |
| 156 | C2×#490 | — | 2 | 1 | no | — |
| 157 | #3054 | — | 2 | 1 | no | — |
| 158 | C2×#469 | — | 2 | 1 | no | — |
| 159 | #3050 | C23 | 1 | 2 | yes | — |
| 160 | C2×#466 | C23 | 1 | 2 | yes | — |
| 161 | #2995 | — | 4 | 2 | no | — |
| 162 | #2994 | — | 4 | 2 | no | — |
| 163 | #2993 | — | 4 | 2 | no | — |
| 164 | #2992 | — | 4 | 2 | no | — |
| 165 | #2962 | — | 2 | 2 | no | — |
| 166 | C2×#444 | C23 | 1 | 2 | yes | — |
| 167 | C2×#444 | C23 | 1 | 2 | yes | — |
| 168 | #2943 | — | 2 | 1 | no | — |
| 169 | C2×#442 | — | 2 | 1 | no | — |
| 170 | C2×#442 | C23 | 1 | 2 | yes | — |
| 171 | C2×#442 | C23 | 1 | 2 | yes | — |
| 172 | C4×#135 | C23 | 1 | 2 | yes | — |
| 173 | C2×C4×D8 | C23 | 1 | 2 | yes | — |
| 174 | #2935 | — | 2 | 2 | no | — |
| 175 | #2930 | — | 2 | 2 | no | — |
| 176 | #2929 | — | 2 | 2 | no | — |
| 177 | #2925 | — | 2 | 2 | no | — |
| 178 | #2921 | — | 2 | 1 | no | — |
| 179 | #2906 | — | 2 | 2 | no | — |
| 180 | C2×#424 | D4 | 1 | 1 | yes | characteristic |
| 181 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 182 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 183 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 184 | #2377 | — | 4 | 2 | no | — |
| 185 | #2370 | — | 2 | 2 | no | — |
| 186 | #2366 | — | 2 | 2 | no | — |
| 187 | #2361 | — | 4 | 2 | no | — |
| 188 | #2357 | — | 2 | 2 | no | — |
| 189 | D4×C4⋊C4 | — | 2 | 2 | no | — |
| 190 | #2335 | — | 4 | 2 | no | — |
| 191 | #2324 | — | 2 | 2 | no | — |
| 192 | #2322 | — | 4 | 2 | no | — |
| 193 | #2314 | — | 2 | 1 | no | — |
| 194 | C4×#121 | — | 2 | 2 | no | — |
| 195 | #2296 | D4 | 1 | 1 | yes | characteristic |
| 196 | #2229 | C2×C4 | 1 | 4 | yes | complemented |
| 197 | #2229 | C2×C4 | 1 | 4 | yes | complemented |
| 198 | #2228 | C2×C4 | 1 | 4 | yes | complemented |
| 199 | #2228 | C2×C4 | 1 | 4 | yes | complemented |
| 200 | #2228 | C2×C4 | 1 | 4 | yes | complemented |
| 201 | #2228 | C2×C4 | 1 | 4 | yes | complemented |
| 202 | #2226 | C2×C4 | 1 | 4 | yes | complemented |
| 203 | #2224 | C2×C4 | 1 | 4 | yes | complemented |
| 204 | #2220 | C2×C4 | 1 | 4 | yes | complemented |
| 205 | #2220 | C2×C4 | 1 | 4 | yes | complemented |
| 206 | #2218 | C2×C4 | 1 | 4 | yes | complemented |
| 207 | #2218 | C2×C4 | 1 | 4 | yes | complemented |
| 208 | #2217 | C2×C4 | 1 | 4 | yes | complemented |
| 209 | #2217 | C2×C4 | 1 | 4 | yes | complemented |
| 210 | #2215 | C2×C4 | 1 | 4 | yes | complemented |
| 211 | #2215 | C2×C4 | 1 | 4 | yes | complemented |
| 212 | #2210 | C2×C4 | 1 | 4 | yes | complemented |
| 213 | #2210 | C2×C4 | 1 | 4 | yes | complemented |
| 214 | #2208 | C2×C4 | 1 | 4 | yes | complemented |
| 215 | #2207 | C2×C4 | 1 | 4 | yes | complemented |
| 216 | #2207 | C2×C4 | 1 | 4 | yes | complemented |
| 217 | #2206 | C2×C4 | 1 | 4 | yes | complemented |
| 218 | #2206 | C2×C4 | 1 | 4 | yes | complemented |
| 219 | #2206 | C2×C4 | 1 | 4 | yes | complemented |
| 220 | AGL(1,ℤ/16) | — | 4 | 4 | no | — |
| 221 | AGL(1,ℤ/16) | — | 4 | 4 | no | — |
| 222 | #2159 | C23 | 1 | 2 | yes | — |
| 223 | #2159 | C23 | 1 | 2 | yes | — |
| 224 | C2×#365 | C23 | 1 | 2 | yes | — |
| 225 | C2×#365 | C23 | 1 | 2 | yes | — |
| 226 | C2×#365 | C23 | 1 | 2 | yes | — |
| 227 | C2×#365 | C23 | 1 | 2 | yes | — |
| 228 | #2151 | C2×C4 | 1 | 2 | yes | complemented |
| 229 | #2151 | C2×C4 | 1 | 2 | yes | complemented |
| 230 | #2151 | C2×C4 | 1 | 2 | yes | complemented |
| 231 | #2151 | C2×C4 | 1 | 2 | yes | complemented |
| 232 | #2150 | C23 | 1 | 2 | yes | — |
| 233 | #2150 | C23 | 1 | 2 | yes | — |
| 234 | C2×#361 | C23 | 1 | 2 | yes | — |
| 235 | C2×#361 | C23 | 1 | 2 | yes | — |
| 236 | C2×#361 | C23 | 1 | 2 | yes | — |
| 237 | C2×#361 | C23 | 1 | 2 | yes | — |
| 238 | C2×#360 | C23 | 1 | 2 | yes | — |
| 239 | C2×#360 | C23 | 1 | 2 | yes | — |
| 240 | C2×#360 | C23 | 1 | 2 | yes | — |
| 241 | C2×#360 | C23 | 1 | 2 | yes | — |
| 242 | #2140 | C23 | 1 | 2 | yes | — |
| 243 | #2140 | C23 | 1 | 2 | yes | — |
| 244 | #2139 | C23 | 1 | 2 | yes | — |
| 245 | #2139 | C23 | 1 | 2 | yes | — |
| 246 | #2110 | — | 4 | 2 | no | — |
| 247 | C2×#347 | — | 4 | 2 | no | — |
| 248 | C2×#347 | C23 | 1 | 2 | yes | — |
| 249 | C2×#347 | C23 | 1 | 2 | yes | — |
| 250 | C2×#347 | C23 | 1 | 2 | yes | — |
| 251 | C2×#347 | C23 | 1 | 2 | yes | — |
| 252 | #2108 | — | 2 | 1 | no | — |
| 253 | #2108 | — | 2 | 1 | no | — |
| 254 | #2108 | — | 2 | 1 | no | — |
| 255 | #2108 | — | 2 | 1 | no | — |
| 256 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 257 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 258 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 259 | C4×M32 | C23 | 1 | 1 | yes | characteristic |
| 260 | #1989 | — | 2 | 2 | no | — |
| 261 | #1986 | — | 2 | 2 | no | — |
| 262 | #1982 | — | 2 | 2 | no | — |
| 263 | #1980 | — | 2 | 2 | no | — |
| 264 | #1975 | C23 | 1 | 2 | yes | — |
| 265 | #1975 | C23 | 1 | 2 | yes | — |
| 266 | #1972 | C23 | 1 | 2 | yes | — |
| 267 | #1972 | C23 | 1 | 2 | yes | — |
| 268 | #1946 | C23 | 1 | 2 | yes | — |
| 269 | #1946 | C23 | 1 | 2 | yes | — |
| 270 | #1943 | C23 | 1 | 2 | yes | — |
| 271 | #1943 | C23 | 1 | 2 | yes | — |
| 272 | #1938 | — | 2 | 2 | no | — |
| 273 | #1937 | — | 2 | 2 | no | — |
| 274 | #1936 | — | 2 | 2 | no | — |
| 275 | #1934 | — | 2 | 2 | no | — |
| 276 | #1929 | — | 2 | 2 | no | — |
| 277 | #1929 | — | 2 | 2 | no | — |
| 278 | #1925 | — | 2 | 2 | no | — |
| 279 | #1925 | — | 2 | 2 | no | — |
| 280 | #1922 | — | 2 | 2 | no | — |
| 281 | #1922 | — | 2 | 2 | no | — |
| 282 | #1920 | — | 2 | 2 | no | — |
| 283 | #1919 | — | 2 | 2 | no | — |
| 284 | #1897 | — | 2 | 2 | no | — |
| 285 | #1896 | — | 2 | 2 | no | — |
| 286 | #1895 | — | 2 | 2 | no | — |
| 287 | #1893 | — | 2 | 2 | no | — |
| 288 | #1879 | — | 2 | 2 | no | — |
| 289 | #1879 | — | 2 | 2 | no | — |
| 290 | #1876 | — | 2 | 2 | no | — |
| 291 | #1876 | — | 2 | 2 | no | — |
| 292 | #1866 | — | 2 | 2 | no | — |
| 293 | #1866 | — | 2 | 2 | no | — |
| 294 | #1864 | — | 2 | 2 | no | — |
| 295 | #1864 | — | 2 | 2 | no | — |
| 296 | #1848 | C23 | 1 | 1 | yes | characteristic |
| 297 | #1848 | C23 | 1 | 1 | yes | characteristic |
| 298 | #1846 | C23 | 1 | 1 | yes | characteristic |
| 299 | #1844 | C23 | 1 | 1 | yes | characteristic |
| 300 | #1838 | — | 2 | 1 | no | — |
| 301 | #1836 | — | 2 | 1 | no | — |
| 302 | #1811 | — | 2 | 1 | no | — |
| 303 | #1810 | C23 | 1 | 2 | yes | — |
| 304 | #1809 | — | 2 | 1 | no | — |
| 305 | #1807 | C23 | 1 | 2 | yes | — |
| 306 | #1806 | — | 2 | 2 | no | — |
| 307 | #1806 | — | 2 | 2 | no | — |
| 308 | #1804 | — | 2 | 2 | no | — |
| 309 | #1802 | — | 2 | 2 | no | — |
| 310 | #1778 | — | 2 | 1 | no | — |
| 311 | C4×#108 | C23 | 1 | 2 | yes | — |
| 312 | #1776 | — | 2 | 1 | no | — |
| 313 | #1776 | C23 | 1 | 2 | yes | — |
| 314 | #1776 | C23 | 1 | 2 | yes | — |
| 315 | C4×#106 | C23 | 1 | 2 | yes | — |
| 316 | #1773 | C23 | 1 | 2 | yes | — |
| 317 | #1773 | C23 | 1 | 2 | yes | — |
| 318 | #1771 | D4 | 1 | 2 | yes | — |
| 319 | #1771 | D4 | 1 | 2 | yes | — |
| 320 | #1770 | C23 | 1 | 2 | yes | — |
| 321 | #1770 | C23 | 1 | 2 | yes | — |
| 322 | #1765 | — | 2 | 2 | no | — |
| 323 | #1764 | — | 2 | 2 | no | — |
| 324 | #1762 | — | 2 | 2 | no | — |
| 325 | C4×#102 | — | 2 | 2 | no | — |
| 326 | #1729 | D4 | 1 | 1 | yes | characteristic |
| 327 | #1728 | D4 | 1 | 1 | yes | characteristic |
| 328 | #1387 | C23 | 1 | 2 | yes | — |
| 329 | #1387 | C23 | 1 | 2 | yes | — |
| 330 | #1387 | C23 | 1 | 2 | yes | — |
| 331 | #1387 | C23 | 1 | 2 | yes | — |
| 332 | #1386 | C23 | 1 | 2 | yes | — |
| 333 | #1386 | C23 | 1 | 2 | yes | — |
| 334 | #1386 | C23 | 1 | 2 | yes | — |
| 335 | #1386 | C23 | 1 | 2 | yes | — |
| 336 | #1383 | C23 | 1 | 2 | yes | — |
| 337 | #1383 | C23 | 1 | 2 | yes | — |
| 338 | #1383 | C23 | 1 | 2 | yes | — |
| 339 | #1383 | C23 | 1 | 2 | yes | — |
| 340 | #1375 | C23 | 1 | 2 | yes | — |
| 341 | #1375 | C23 | 1 | 2 | yes | — |
| 342 | #1375 | C23 | 1 | 2 | yes | — |
| 343 | #1375 | C23 | 1 | 2 | yes | — |
| 344 | C2×#135 | — | 2 | 1 | no | — |
| 345 | C2×#135 | C24 | 1 | 2 | yes | — |
| 346 | C22×D8 | — | 2 | 1 | no | — |
| 347 | C22×D8 | C24 | 1 | 2 | yes | — |
| 348 | C2×#131 | — | 2 | 2 | no | — |
| 349 | C2×#131 | — | 2 | 2 | no | — |
| 350 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 351 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 352 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 353 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 354 | #542 | — | 2 | 2 | no | — |
| 355 | #542 | — | 2 | 2 | no | — |
| 356 | #541 | — | 2 | 1 | no | — |
| 357 | #541 | — | 2 | 1 | no | — |
| 358 | #540 | — | 2 | 1 | no | — |
| 359 | #540 | — | 2 | 1 | no | — |
| 360 | #540 | — | 2 | 2 | no | — |
| 361 | #540 | — | 2 | 2 | no | — |
| 362 | #540 | — | 2 | 2 | no | — |
| 363 | #540 | — | 2 | 2 | no | — |
| 364 | #540 | — | 4 | 2 | no | — |
| 365 | #540 | — | 4 | 2 | no | — |
| 366 | #539 | — | 4 | 2 | no | — |
| 367 | #538 | — | 4 | 2 | no | — |
| 368 | #533 | — | 2 | 1 | no | — |
| 369 | #532 | — | 2 | 1 | no | — |
| 370 | C2×#127 | — | 2 | 1 | no | — |
| 371 | #529 | — | 4 | 2 | no | — |
| 372 | #529 | — | 4 | 2 | no | — |
| 373 | C2×#125 | — | 2 | 1 | no | — |
| 374 | #525 | — | 2 | 2 | no | — |
| 375 | C2×#123 | — | 4 | 2 | no | — |
| 376 | C2×#121 | — | 2 | 2 | no | — |
| 377 | C2×#121 | — | 4 | 2 | no | — |
| 378 | C4×#41 | — | 2 | 2 | no | — |
| 379 | C2×C4×D4 | — | 2 | 2 | no | — |
| 380 | C2×C4×D4 | — | 2 | 2 | no | — |
| 381 | C2×C4×D4 | — | 2 | 2 | no | — |
| 382 | C2×C4×D4 | — | 4 | 2 | no | — |
| 383 | C2×C4×D4 | — | 4 | 2 | no | — |
| 384 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 385 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 386 | C22×C4⋊C4 | — | 4 | 2 | no | — |
| 387 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 388 | #509 | — | 4 | 2 | no | — |
| 389 | #509 | — | 4 | 2 | no | — |
| 390 | #509 | — | 4 | 2 | no | — |
| 391 | #509 | — | 4 | 2 | no | — |
| 392 | C2×SD32 | C22×C4 | 1 | 4 | yes | — |
| 393 | C2×SD32 | C22×C4 | 1 | 4 | yes | — |
| 394 | C2×D16 | C22×C4 | 1 | 4 | yes | — |
| 395 | C2×D16 | C22×C4 | 1 | 4 | yes | — |
| 396 | C2×M32 | — | 2 | 1 | no | — |
| 397 | C2×M32 | — | 2 | 2 | no | — |
| 398 | C2×M32 | — | 2 | 2 | no | — |
| 399 | C2×M32 | — | 2 | 1 | no | — |
| 400 | C2×M32 | — | 4 | 1 | no | — |
| 401 | C2×M32 | — | 4 | 1 | no | — |
| 402 | C2×M32 | — | 4 | 1 | no | — |
| 403 | C2×M32 | — | 4 | 1 | no | — |
| 404 | C2×M32 | — | 4 | 1 | no | — |
| 405 | C2×M32 | — | 4 | 1 | no | — |
| 406 | C2×M32 | C22×C4 | 1 | 2 | yes | — |
| 407 | C2×M32 | C22×C4 | 1 | 2 | yes | — |
| 408 | C2×M32 | C24 | 1 | 1 | yes | characteristic |
| 409 | C2×M32 | C24 | 1 | 1 | yes | characteristic |
| 410 | C2×M32 | C24 | 1 | 1 | yes | characteristic |
| 411 | C2×M32 | C24 | 1 | 1 | yes | characteristic |
| 412 | C2×M32 | C24 | 1 | 2 | yes | — |
| 413 | C2×M32 | C24 | 1 | 2 | yes | — |
| 414 | C22×C16 | — | 2 | 1 | no | — |
| 415 | C22×C16 | — | 2 | 1 | no | — |
| 416 | C22×C16 | C22×C4 | 1 | 2 | yes | — |
| 417 | C22×C16 | C22×C4 | 1 | 2 | yes | — |
| 418 | #500 | C22×C4 | 1 | 2 | yes | — |
| 419 | #499 | — | 2 | 1 | no | — |
| 420 | #499 | — | 2 | 1 | no | — |
| 421 | #499 | — | 2 | 1 | no | — |
| 422 | #499 | C22×C4 | 1 | 2 | yes | — |
| 423 | #499 | C22×C4 | 1 | 2 | yes | — |
| 424 | #499 | C22×C4 | 1 | 1 | yes | characteristic |
| 425 | #499 | C22×C4 | 1 | 1 | yes | characteristic |
| 426 | #498 | — | 2 | 1 | no | — |
| 427 | #495 | — | 2 | 1 | no | — |
| 428 | #495 | C22×C4 | 1 | 2 | yes | — |
| 429 | #494 | C22×C4 | 1 | 1 | yes | characteristic |
| 430 | #493 | — | 2 | 1 | no | — |
| 431 | #493 | — | 2 | 1 | no | — |
| 432 | #493 | C22×C4 | 1 | 2 | yes | — |
| 433 | #493 | C22×C4 | 1 | 2 | yes | — |
| 434 | #493 | C22×C4 | 1 | 1 | yes | characteristic |
| 435 | #492 | — | 2 | 1 | no | — |
| 436 | #491 | — | 2 | 1 | no | — |
| 437 | #491 | — | 2 | 1 | no | — |
| 438 | #490 | — | 2 | 2 | no | — |
| 439 | #490 | — | 2 | 2 | no | — |
| 440 | #490 | — | 2 | 2 | no | — |
| 441 | #490 | — | 2 | 2 | no | — |
| 442 | #490 | — | 2 | 1 | no | — |
| 443 | #490 | — | 2 | 1 | no | — |
| 444 | #489 | — | 2 | 2 | no | — |
| 445 | #489 | — | 2 | 2 | no | — |
| 446 | #470 | — | 2 | 1 | no | — |
| 447 | #470 | — | 2 | 1 | no | — |
| 448 | #469 | — | 2 | 1 | no | — |
| 449 | #469 | — | 2 | 1 | no | — |
| 450 | #469 | — | 2 | 2 | no | — |
| 451 | #469 | — | 2 | 2 | no | — |
| 452 | #469 | — | 2 | 2 | no | — |
| 453 | #469 | — | 2 | 2 | no | — |
| 454 | #468 | — | 2 | 2 | no | — |
| 455 | #468 | — | 2 | 2 | no | — |
| 456 | #467 | C22×C4 | 1 | 2 | yes | — |
| 457 | #467 | C22×C4 | 1 | 2 | yes | — |
| 458 | #466 | — | 2 | 2 | no | — |
| 459 | #466 | — | 2 | 2 | no | — |
| 460 | #466 | C22×C4 | 1 | 2 | yes | — |
| 461 | #466 | C22×C4 | 1 | 2 | yes | — |
| 462 | #466 | C22×C4 | 1 | 4 | yes | — |
| 463 | #466 | C22×C4 | 1 | 4 | yes | — |
| 464 | #465 | — | 2 | 2 | no | — |
| 465 | #465 | — | 2 | 2 | no | — |
| 466 | #446 | — | 4 | 2 | no | — |
| 467 | #446 | — | 4 | 2 | no | — |
| 468 | #446 | — | 4 | 2 | no | — |
| 469 | C8×Q8 | — | 4 | 2 | no | — |
| 470 | #444 | — | 4 | 2 | no | — |
| 471 | #444 | — | 4 | 2 | no | — |
| 472 | #444 | — | 4 | 2 | no | — |
| 473 | #444 | — | 4 | 2 | no | — |
| 474 | #442 | — | 2 | 1 | no | — |
| 475 | #442 | — | 2 | 1 | no | — |
| 476 | #442 | — | 2 | 2 | no | — |
| 477 | #442 | — | 2 | 2 | no | — |
| 478 | #442 | — | 2 | 2 | no | — |
| 479 | #442 | — | 2 | 2 | no | — |
| 480 | #442 | — | 4 | 2 | no | — |
| 481 | #442 | — | 4 | 2 | no | — |
| 482 | #442 | — | 4 | 2 | no | — |
| 483 | #442 | — | 4 | 2 | no | — |
| 484 | #441 | — | 2 | 1 | no | — |
| 485 | #441 | — | 2 | 1 | no | — |
| 486 | #440 | — | 2 | 2 | no | — |
| 487 | #440 | — | 2 | 2 | no | — |
| 488 | C4×Q16 | C22×C4 | 1 | 2 | yes | — |
| 489 | C4×Q16 | C22×C4 | 1 | 2 | yes | — |
| 490 | C4×SD16 | — | 2 | 2 | no | — |
| 491 | C4×SD16 | — | 2 | 2 | no | — |
| 492 | C4×D8 | — | 2 | 2 | no | — |
| 493 | C4×D8 | — | 2 | 2 | no | — |
| 494 | C4×D8 | C22×C4 | 1 | 2 | yes | — |
| 495 | C4×D8 | C22×C4 | 1 | 2 | yes | — |
| 496 | C4×D8 | C22×C4 | 1 | 4 | yes | — |
| 497 | C4×D8 | C22×C4 | 1 | 4 | yes | — |
| 498 | #436 | — | 4 | 2 | no | — |
| 499 | #436 | — | 4 | 2 | no | — |
| 500 | #436 | — | 4 | 2 | no | — |
| 501 | #435 | — | 4 | 2 | no | — |
| 502 | #435 | — | 4 | 2 | no | — |
| 503 | #435 | — | 4 | 2 | no | — |
| 504 | #435 | — | 4 | 2 | no | — |
| 505 | #435 | — | 4 | 2 | no | — |
| 506 | #435 | — | 4 | 2 | no | — |
| 507 | C8×D4 | — | 4 | 2 | no | — |
| 508 | C8×D4 | — | 4 | 2 | no | — |
| 509 | C8×D4 | — | 4 | 2 | no | — |
| 510 | #433 | — | 4 | 2 | no | — |
| 511 | #433 | — | 4 | 2 | no | — |
| 512 | #433 | — | 4 | 2 | no | — |
| 513 | #433 | — | 4 | 2 | no | — |
| 514 | #432 | — | 4 | 2 | no | — |
| 515 | #431 | — | 4 | 2 | no | — |
| 516 | C2×#108 | — | 2 | 1 | no | — |
| 517 | C2×#108 | — | 2 | 1 | no | — |
| 518 | C2×#108 | C24 | 1 | 2 | yes | — |
| 519 | C2×#108 | C24 | 1 | 2 | yes | — |
| 520 | #427 | — | 2 | 1 | no | — |
| 521 | #427 | C24 | 1 | 2 | yes | — |
| 522 | C2×#107 | — | 2 | 1 | no | — |
| 523 | C2×#107 | C24 | 1 | 2 | yes | — |
| 524 | C2×#106 | — | 2 | 1 | no | — |
| 525 | C2×#106 | — | 2 | 1 | no | — |
| 526 | C2×#106 | C24 | 1 | 2 | yes | — |
| 527 | C2×#106 | C24 | 1 | 2 | yes | — |
| 528 | #424 | — | 2 | 2 | no | — |
| 529 | #424 | — | 2 | 2 | no | — |
| 530 | #424 | — | 2 | 2 | no | — |
| 531 | #424 | — | 2 | 2 | no | — |
| 532 | #424 | — | 4 | 2 | no | — |
| 533 | #424 | — | 4 | 2 | no | — |
| 534 | #423 | — | 2 | 1 | no | — |
| 535 | #423 | — | 2 | 1 | no | — |
| 536 | #423 | — | 4 | 2 | no | — |
| 537 | C2×C4⋊C8 | — | 4 | 2 | no | — |
| 538 | C2×C4⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 539 | C2×C4⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 540 | C2×#104 | — | 2 | 2 | no | — |
| 541 | C2×#104 | — | 2 | 2 | no | — |
| 542 | C2×#104 | — | 2 | 2 | no | — |
| 543 | C2×#104 | — | 2 | 2 | no | — |
| 544 | #416 | — | 2 | 2 | no | — |
| 545 | #416 | — | 2 | 2 | no | — |
| 546 | C2×#102 | — | 2 | 2 | no | — |
| 547 | C2×#102 | — | 2 | 2 | no | — |
| 548 | C2×#102 | — | 2 | 2 | no | — |
| 549 | C2×#102 | — | 2 | 2 | no | — |
| 550 | C2×#102 | — | 2 | 2 | no | — |
| 551 | C2×#102 | — | 2 | 2 | no | — |
| 552 | #408 | — | 2 | 2 | no | — |
| 553 | #408 | — | 2 | 2 | no | — |
| 554 | #407 | — | 2 | 2 | no | — |
| 555 | #405 | — | 2 | 2 | no | — |
| 556 | #405 | — | 2 | 2 | no | — |
| 557 | #405 | — | 4 | 1 | no | — |
| 558 | #405 | — | 4 | 1 | no | — |
| 559 | #405 | C22×C4 | 1 | 1 | yes | characteristic |
| 560 | #405 | C22×C4 | 1 | 1 | yes | characteristic |
| 561 | #405 | C22×C4 | 1 | 1 | yes | characteristic |
| 562 | #405 | C22×C4 | 1 | 1 | yes | characteristic |
| 563 | #405 | #41 | 1 | 1 | yes | characteristic |
| 564 | #405 | #41 | 1 | 1 | yes | characteristic |
| 565 | #405 | #41 | 1 | 1 | yes | characteristic |
| 566 | #405 | #41 | 1 | 1 | yes | characteristic |
| 567 | C4×M16 | — | 2 | 2 | no | — |
| 568 | C2×#97 | — | 4 | 1 | no | — |
| 569 | C2×#97 | — | 4 | 1 | no | — |
| 570 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 571 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 572 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 573 | C2×#97 | C24 | 1 | 2 | yes | — |
| 574 | C2×#97 | C24 | 1 | 2 | yes | — |
| 575 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 576 | C2×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 577 | C2×C4×C8 | C24 | 1 | 1 | yes | characteristic |
| 578 | #390 | — | 2 | 2 | no | — |
| 579 | #390 | — | 2 | 2 | no | — |
| 580 | #390 | — | 4 | 2 | no | — |
| 581 | #390 | — | 4 | 2 | no | — |
| 582 | #389 | — | 2 | 2 | no | — |
| 583 | #389 | — | 2 | 2 | no | — |
| 584 | #389 | — | 2 | 2 | no | — |
| 585 | #389 | — | 4 | 2 | no | — |
| 586 | #388 | — | 4 | 2 | no | — |
| 587 | #388 | — | 4 | 2 | no | — |
| 588 | #388 | — | 4 | 2 | no | — |
| 589 | #388 | — | 4 | 2 | no | — |
| 590 | #388 | — | 4 | 2 | no | — |
| 591 | #387 | — | 4 | 2 | no | — |
| 592 | #387 | — | 4 | 2 | no | — |
| 593 | #387 | — | 4 | 2 | no | — |
| 594 | #386 | — | 4 | 2 | no | — |
| 595 | #386 | — | 4 | 2 | no | — |
| 596 | #386 | — | 4 | 2 | no | — |
| 597 | #386 | — | 4 | 2 | no | — |
| 598 | #385 | — | 2 | 2 | no | — |
| 599 | #385 | — | 4 | 2 | no | — |
| 600 | #385 | — | 4 | 2 | no | — |
| 601 | #385 | — | 4 | 2 | no | — |
| 602 | #384 | — | 2 | 1 | no | — |
| 603 | #382 | — | 2 | 1 | no | — |
| 604 | #381 | — | 4 | 2 | no | — |
| 605 | #380 | — | 2 | 2 | no | — |
| 606 | #380 | — | 4 | 2 | no | — |
| 607 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 608 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 609 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 610 | C4×C4⋊C4 | — | 4 | 2 | no | — |
| 611 | C4×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 612 | C4×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 613 | C4×C22⋊C4 | — | 4 | 2 | no | — |
| 614 | C4×C22⋊C4 | — | 4 | 2 | no | — |
| 615 | #367 | C22×C4 | 1 | 4 | yes | — |
| 616 | #367 | C22×C4 | 1 | 4 | yes | — |
| 617 | #366 | C22×C4 | 1 | 4 | yes | — |
| 618 | #366 | C22×C4 | 1 | 4 | yes | — |
| 619 | #365 | — | 4 | 2 | no | — |
| 620 | #365 | — | 4 | 2 | no | — |
| 621 | #365 | — | 4 | 2 | no | — |
| 622 | #365 | — | 4 | 2 | no | — |
| 623 | C4⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 624 | C4⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 625 | C4⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 626 | C4⋊C16 | C22×C4 | 1 | 4 | yes | — |
| 627 | #361 | — | 2 | 4 | no | — |
| 628 | #361 | — | 2 | 4 | no | — |
| 629 | #361 | — | 4 | 2 | no | — |
| 630 | #361 | — | 4 | 2 | no | — |
| 631 | #360 | — | 2 | 4 | no | — |
| 632 | #360 | — | 2 | 4 | no | — |
| 633 | #360 | — | 4 | 2 | no | — |
| 634 | #360 | — | 4 | 2 | no | — |
| 635 | #358 | C22×C4 | 1 | 4 | yes | — |
| 636 | #358 | C22×C4 | 1 | 4 | yes | — |
| 637 | #357 | C22×C4 | 1 | 4 | yes | — |
| 638 | #357 | C22×C4 | 1 | 4 | yes | — |
| 639 | #357 | C22×C4 | 1 | 4 | yes | — |
| 640 | #357 | C22×C4 | 1 | 4 | yes | — |
| 641 | #357 | C22×C4 | 1 | 4 | yes | — |
| 642 | #357 | C22×C4 | 1 | 4 | yes | — |
| 643 | #347 | — | 2 | 4 | no | — |
| 644 | #347 | — | 2 | 4 | no | — |
| 645 | #347 | — | 4 | 2 | no | — |
| 646 | #347 | — | 4 | 2 | no | — |
| 647 | #346 | — | 2 | 1 | no | — |
| 648 | #346 | — | 2 | 1 | no | — |
| 649 | #346 | — | 2 | 1 | no | — |
| 650 | #346 | — | 2 | 1 | no | — |
| 651 | C4×C16 | — | 2 | 1 | no | — |
| 652 | C4×C16 | — | 2 | 1 | no | — |
| 653 | C4×C16 | — | 2 | 1 | no | — |
| 654 | C4×C16 | — | 2 | 1 | no | — |
| 655 | #341 | — | 2 | 2 | no | — |
| 656 | #341 | — | 2 | 2 | no | — |
| 657 | #340 | — | 2 | 2 | no | — |
| 658 | #340 | — | 2 | 2 | no | — |
| 659 | #340 | — | 2 | 2 | no | — |
| 660 | #340 | — | 2 | 2 | no | — |
| 661 | #340 | — | 2 | 2 | no | — |
| 662 | #340 | — | 2 | 2 | no | — |
| 663 | #339 | — | 2 | 2 | no | — |
| 664 | #339 | — | 2 | 2 | no | — |
| 665 | #339 | — | 2 | 2 | no | — |
| 666 | #339 | — | 2 | 2 | no | — |
| 667 | #336 | C2×D4 | 1 | 2 | yes | — |
| 668 | #336 | C2×D4 | 1 | 2 | yes | — |
| 669 | #336 | C2×D4 | 1 | 2 | yes | — |
| 670 | #336 | C2×D4 | 1 | 2 | yes | — |
| 671 | C2×#41 | — | 2 | 2 | no | — |
| 672 | C22×D4 | — | 2 | 2 | no | — |
| 673 | C22×D4 | — | 4 | 2 | no | — |
| 674 | C22×D4 | — | 4 | 2 | no | — |
| 675 | C23×C4 | — | 2 | 1 | no | — |
| 676 | C23×C4 | — | 4 | 2 | no | — |
| 677 | C23×C4 | — | 4 | 2 | no | — |
| 678 | C23×C4 | — | 4 | 2 | no | — |
| 679 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 680 | #135 | — | 2 | 2 | no | — |
| 681 | #135 | — | 2 | 2 | no | — |
| 682 | #135 | — | 2 | 2 | no | — |
| 683 | #135 | — | 2 | 2 | no | — |
| 684 | #135 | — | 8 | 1 | no | — |
| 685 | #135 | — | 8 | 1 | no | — |
| 686 | C2×Q16 | — | 2 | 1 | no | — |
| 687 | C2×Q16 | C23×C4 | 1 | 2 | yes | — |
| 688 | C2×SD16 | — | 2 | 2 | no | — |
| 689 | C2×SD16 | — | 2 | 2 | no | — |
| 690 | C2×D8 | — | 2 | 2 | no | — |
| 691 | C2×D8 | — | 2 | 2 | no | — |
| 692 | C2×D8 | — | 2 | 1 | no | — |
| 693 | C2×D8 | — | 2 | 2 | no | — |
| 694 | C2×D8 | — | 2 | 2 | no | — |
| 695 | C2×D8 | — | 2 | 2 | no | — |
| 696 | C2×D8 | — | 2 | 2 | no | — |
| 697 | C2×D8 | — | 2 | 2 | no | — |
| 698 | C2×D8 | — | 8 | 1 | no | — |
| 699 | C2×D8 | — | 8 | 1 | no | — |
| 700 | C2×D8 | C23×C4 | 1 | 4 | yes | — |
| 701 | C2×D8 | C23×C4 | 1 | 2 | yes | — |
| 702 | #131 | — | 8 | 2 | no | — |
| 703 | #131 | — | 8 | 2 | no | — |
| 704 | #131 | — | 8 | 2 | no | — |
| 705 | #131 | — | 8 | 2 | no | — |
| 706 | C2×M16 | — | 2 | 1 | no | — |
| 707 | C2×M16 | — | 2 | 1 | no | — |
| 708 | C2×M16 | — | 2 | 2 | no | — |
| 709 | C2×M16 | — | 2 | 2 | no | — |
| 710 | C2×M16 | — | 4 | 1 | no | — |
| 711 | C2×M16 | — | 4 | 1 | no | — |
| 712 | C2×M16 | — | 4 | 1 | no | — |
| 713 | C2×M16 | — | 4 | 1 | no | — |
| 714 | C2×M16 | — | 4 | 2 | no | — |
| 715 | C2×M16 | — | 4 | 2 | no | — |
| 716 | C2×M16 | C4×D4 | 1 | 1 | yes | characteristic |
| 717 | C2×M16 | C4×D4 | 1 | 1 | yes | characteristic |
| 718 | C2×M16 | C4×D4 | 1 | 1 | yes | characteristic |
| 719 | C2×M16 | C4×D4 | 1 | 1 | yes | characteristic |
| 720 | C22×C8 | — | 2 | 1 | no | — |
| 721 | C22×C8 | — | 2 | 1 | no | — |
| 722 | C22×C8 | — | 2 | 1 | no | — |
| 723 | C22×C8 | — | 2 | 1 | no | — |
| 724 | C22×C8 | — | 2 | 1 | no | — |
| 725 | C22×C8 | — | 2 | 1 | no | — |
| 726 | C22×C8 | — | 4 | 1 | no | — |
| 727 | C22×C8 | — | 4 | 1 | no | — |
| 728 | C22×C8 | — | 4 | 2 | no | — |
| 729 | C22×C8 | — | 4 | 2 | no | — |
| 730 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 731 | C22×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 732 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 733 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 734 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 735 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 736 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 737 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 738 | C22×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 739 | C22×C8 | C25 | 1 | 1 | yes | characteristic |
| 740 | C4⋊Q8 | — | 2 | 2 | no | — |
| 741 | C4⋊Q8 | — | 2 | 1 | no | — |
| 742 | #127 | — | 2 | 2 | no | — |
| 743 | #127 | — | 2 | 2 | no | — |
| 744 | #127 | — | 2 | 1 | no | — |
| 745 | #127 | — | 4 | 2 | no | — |
| 746 | #126 | — | 4 | 2 | no | — |
| 747 | #126 | — | 4 | 2 | no | — |
| 748 | #126 | — | 4 | 2 | no | — |
| 749 | #126 | — | 4 | 2 | no | — |
| 750 | #125 | — | 2 | 2 | no | — |
| 751 | #125 | — | 2 | 2 | no | — |
| 752 | #125 | — | 2 | 1 | no | — |
| 753 | #125 | — | 2 | 1 | no | — |
| 754 | #125 | — | 4 | 2 | no | — |
| 755 | #125 | — | 4 | 2 | no | — |
| 756 | #125 | — | 4 | 2 | no | — |
| 757 | #124 | — | 2 | 2 | no | — |
| 758 | #124 | — | 4 | 2 | no | — |
| 759 | #124 | — | 4 | 2 | no | — |
| 760 | #123 | — | 4 | 2 | no | — |
| 761 | #123 | — | 4 | 4 | no | — |
| 762 | #123 | — | 4 | 4 | no | — |
| 763 | #123 | — | 4 | 4 | no | — |
| 764 | #123 | — | 4 | 4 | no | — |
| 765 | #123 | — | 4 | 2 | no | — |
| 766 | #123 | — | 4 | 2 | no | — |
| 767 | #123 | — | 4 | 2 | no | — |
| 768 | #123 | — | 4 | 2 | no | — |
| 769 | C22⋊Q8 | — | 2 | 2 | no | — |
| 770 | C22⋊Q8 | — | 2 | 2 | no | — |
| 771 | C22⋊Q8 | — | 4 | 2 | no | — |
| 772 | C22⋊Q8 | — | 4 | 2 | no | — |
| 773 | C22⋊Q8 | — | 4 | 2 | no | — |
| 774 | #121 | — | 2 | 4 | no | — |
| 775 | #121 | — | 2 | 4 | no | — |
| 776 | #121 | — | 2 | 2 | no | — |
| 777 | #121 | — | 2 | 2 | no | — |
| 778 | #121 | — | 4 | 2 | no | — |
| 779 | #121 | — | 4 | 2 | no | — |
| 780 | #121 | — | 4 | 2 | no | — |
| 781 | #121 | — | 4 | 4 | no | — |
| 782 | #121 | — | 4 | 4 | no | — |
| 783 | #121 | — | 4 | 4 | no | — |
| 784 | #121 | — | 4 | 4 | no | — |
| 785 | #121 | — | 4 | 2 | no | — |
| 786 | #121 | — | 4 | 2 | no | — |
| 787 | #120 | — | 4 | 2 | no | — |
| 788 | C4×Q8 | — | 2 | 2 | no | — |
| 789 | C4×Q8 | — | 2 | 2 | no | — |
| 790 | C4×Q8 | — | 4 | 2 | no | — |
| 791 | C4×D4 | — | 2 | 4 | no | — |
| 792 | C4×D4 | — | 2 | 4 | no | — |
| 793 | C4×D4 | — | 2 | 2 | no | — |
| 794 | C4×D4 | — | 2 | 2 | no | — |
| 795 | C4×D4 | — | 4 | 2 | no | — |
| 796 | C4×D4 | — | 4 | 2 | no | — |
| 797 | C4×D4 | — | 4 | 2 | no | — |
| 798 | C4×D4 | — | 4 | 2 | no | — |
| 799 | C4×D4 | — | 4 | 2 | no | — |
| 800 | C4×D4 | — | 4 | 2 | no | — |
| 801 | C4×D4 | — | 4 | 2 | no | — |
| 802 | C4×D4 | — | 8 | 2 | no | — |
| 803 | C4×D4 | — | 8 | 2 | no | — |
| 804 | C4×D4 | — | 8 | 2 | no | — |
| 805 | C4×D4 | — | 8 | 2 | no | — |
| 806 | C4×D4 | — | 16 | 4 | no | — |
| 807 | C4×D4 | — | 16 | 4 | no | — |
| 808 | #117 | — | 2 | 2 | no | — |
| 809 | #117 | — | 4 | 1 | no | — |
| 810 | #117 | — | 4 | 1 | no | — |
| 811 | #117 | — | 4 | 2 | no | — |
| 812 | #117 | C4×D4 | 1 | 1 | yes | characteristic |
| 813 | #117 | C4×D4 | 1 | 1 | yes | characteristic |
| 814 | #117 | C4×D4 | 1 | 1 | yes | characteristic |
| 815 | #117 | C4×D4 | 1 | 1 | yes | characteristic |
| 816 | #117 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 817 | #117 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 818 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 819 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 820 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 821 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 822 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 823 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 824 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 825 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 826 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 827 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 828 | C2×C4⋊C4 | — | 16 | 4 | no | — |
| 829 | C2×C4⋊C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 830 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 831 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 832 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 833 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 834 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 835 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 836 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 837 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 838 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 839 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 840 | C2×C22⋊C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 841 | C2×C42 | — | 2 | 1 | no | — |
| 842 | C2×C42 | — | 4 | 1 | no | — |
| 843 | C2×C42 | — | 4 | 1 | no | — |
| 844 | C2×C42 | — | 4 | 2 | no | — |
| 845 | C2×C42 | — | 4 | 2 | no | — |
| 846 | C2×C42 | — | 4 | 2 | no | — |
| 847 | C2×C42 | — | 4 | 2 | no | — |
| 848 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 849 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 850 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 851 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 852 | SD32 | — | 4 | 4 | no | — |
| 853 | SD32 | — | 4 | 4 | no | — |
| 854 | D16 | — | 4 | 4 | no | — |
| 855 | D16 | — | 4 | 4 | no | — |
| 856 | M32 | — | 2 | 4 | no | — |
| 857 | M32 | — | 2 | 2 | no | — |
| 858 | M32 | — | 2 | 2 | no | — |
| 859 | M32 | — | 2 | 1 | no | — |
| 860 | M32 | — | 2 | 1 | no | — |
| 861 | M32 | — | 2 | 2 | no | — |
| 862 | M32 | — | 2 | 2 | no | — |
| 863 | M32 | — | 2 | 1 | no | — |
| 864 | M32 | — | 2 | 1 | no | — |
| 865 | M32 | — | 2 | 1 | no | — |
| 866 | M32 | — | 2 | 1 | no | — |
| 867 | M32 | — | 4 | 2 | no | — |
| 868 | M32 | — | 4 | 2 | no | — |
| 869 | M32 | — | 4 | 2 | no | — |
| 870 | M32 | H(5,𝔽2) | 1 | 2 | yes | — |
| 871 | M32 | 2−1+4 | 1 | 2 | yes | — |
| 872 | C2×C16 | — | 2 | 4 | no | — |
| 873 | C2×C16 | — | 2 | 1 | no | — |
| 874 | C2×C16 | — | 2 | 1 | no | — |
| 875 | C2×C16 | — | 2 | 1 | no | — |
| 876 | C2×C16 | — | 2 | 1 | no | — |
| 877 | C2×C16 | — | 4 | 2 | no | — |
| 878 | C2×C16 | — | 4 | 2 | no | — |
| 879 | C2×C16 | — | 4 | 2 | no | — |
| 880 | C2×C16 | C23×C4 | 1 | 4 | yes | — |
| 881 | C2×C16 | C23×C4 | 1 | 4 | yes | — |
| 882 | #108 | — | 2 | 2 | no | — |
| 883 | #108 | — | 2 | 2 | no | — |
| 884 | #108 | — | 2 | 2 | no | — |
| 885 | #108 | — | 2 | 2 | no | — |
| 886 | #108 | — | 8 | 1 | no | — |
| 887 | #108 | — | 8 | 1 | no | — |
| 888 | #107 | — | 2 | 2 | no | — |
| 889 | #107 | — | 2 | 2 | no | — |
| 890 | #107 | — | 8 | 1 | no | — |
| 891 | #107 | C23×C4 | 1 | 2 | yes | — |
| 892 | #107 | C23×C4 | 1 | 2 | yes | — |
| 893 | #107 | C23×C4 | 1 | 4 | yes | — |
| 894 | #106 | — | 2 | 2 | no | — |
| 895 | #106 | — | 2 | 2 | no | — |
| 896 | #106 | — | 2 | 1 | no | — |
| 897 | #106 | — | 2 | 1 | no | — |
| 898 | #106 | — | 2 | 2 | no | — |
| 899 | #106 | — | 2 | 2 | no | — |
| 900 | #106 | — | 2 | 2 | no | — |
| 901 | #106 | — | 2 | 2 | no | — |
| 902 | #106 | — | 2 | 2 | no | — |
| 903 | #106 | — | 8 | 1 | no | — |
| 904 | C4⋊C8 | — | 2 | 2 | no | — |
| 905 | C4⋊C8 | — | 2 | 2 | no | — |
| 906 | C4⋊C8 | — | 2 | 2 | no | — |
| 907 | C4⋊C8 | — | 2 | 2 | no | — |
| 908 | C4⋊C8 | — | 4 | 2 | no | — |
| 909 | C4⋊C8 | — | 4 | 2 | no | — |
| 910 | C4⋊C8 | — | 4 | 2 | no | — |
| 911 | C4⋊C8 | — | 4 | 2 | no | — |
| 912 | C4⋊C8 | — | 4 | 2 | no | — |
| 913 | C4⋊C8 | — | 4 | 2 | no | — |
| 914 | #104 | — | 8 | 2 | no | — |
| 915 | #104 | — | 8 | 2 | no | — |
| 916 | #104 | — | 8 | 2 | no | — |
| 917 | #104 | — | 8 | 2 | no | — |
| 918 | #103 | — | 2 | 2 | no | — |
| 919 | #103 | — | 2 | 2 | no | — |
| 920 | #103 | — | 2 | 2 | no | — |
| 921 | #103 | — | 2 | 2 | no | — |
| 922 | #102 | — | 2 | 4 | no | — |
| 923 | #102 | — | 2 | 4 | no | — |
| 924 | #102 | — | 2 | 4 | no | — |
| 925 | #102 | — | 2 | 4 | no | — |
| 926 | #102 | — | 2 | 2 | no | — |
| 927 | #102 | — | 2 | 2 | no | — |
| 928 | #102 | — | 2 | 2 | no | — |
| 929 | #102 | — | 2 | 2 | no | — |
| 930 | #102 | — | 8 | 2 | no | — |
| 931 | #102 | — | 8 | 2 | no | — |
| 932 | #102 | — | 8 | 2 | no | — |
| 933 | #102 | — | 8 | 2 | no | — |
| 934 | C22⋊C8 | — | 4 | 2 | no | — |
| 935 | C22⋊C8 | — | 4 | 2 | no | — |
| 936 | C22⋊C8 | — | 4 | 2 | no | — |
| 937 | C22⋊C8 | — | 4 | 2 | no | — |
| 938 | C22⋊C8 | — | 4 | 2 | no | — |
| 939 | C22⋊C8 | — | 4 | 2 | no | — |
| 940 | #97 | — | 2 | 2 | no | — |
| 941 | #97 | — | 2 | 2 | no | — |
| 942 | #97 | — | 2 | 2 | no | — |
| 943 | #97 | — | 2 | 2 | no | — |
| 944 | #97 | — | 4 | 2 | no | — |
| 945 | #97 | — | 4 | 2 | no | — |
| 946 | #97 | — | 4 | 2 | no | — |
| 947 | #97 | — | 4 | 2 | no | — |
| 948 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 949 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 950 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 951 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 952 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 953 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 954 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 955 | #97 | C4×D4 | 1 | 1 | yes | characteristic |
| 956 | C4×C8 | — | 4 | 2 | no | — |
| 957 | C4×C8 | — | 4 | 2 | no | — |
| 958 | C4×C8 | — | 4 | 2 | no | — |
| 959 | C4×C8 | — | 4 | 2 | no | — |
| 960 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 961 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 962 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 963 | C4×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 964 | C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 965 | C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 966 | C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 967 | C4×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 968 | #95 | — | 2 | 2 | no | — |
| 969 | #95 | — | 2 | 2 | no | — |
| 970 | #95 | — | 4 | 2 | no | — |
| 971 | #95 | — | 4 | 2 | no | — |
| 972 | #95 | — | 4 | 2 | no | — |
| 973 | #95 | — | 4 | 2 | no | — |
| 974 | #95 | — | 4 | 2 | no | — |
| 975 | #95 | — | 4 | 2 | no | — |
| 976 | #95 | — | 4 | 2 | no | — |
| 977 | C24 | — | 4 | 2 | no | — |
| 978 | C24 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 979 | #41 | — | 4 | 2 | no | — |
| 980 | #41 | — | 4 | 2 | no | — |
| 981 | #41 | — | 4 | 2 | no | — |
| 982 | #41 | — | 4 | 2 | no | — |
| 983 | C2×Q8 | — | 2 | 2 | no | — |
| 984 | C2×Q8 | — | 4 | 2 | no | — |
| 985 | C2×D4 | — | 2 | 2 | no | — |
| 986 | C2×D4 | — | 2 | 4 | no | — |
| 987 | C2×D4 | — | 4 | 2 | no | — |
| 988 | C2×D4 | — | 4 | 2 | no | — |
| 989 | C2×D4 | — | 4 | 2 | no | — |
| 990 | C2×D4 | — | 4 | 4 | no | — |
| 991 | C2×D4 | — | 4 | 4 | no | — |
| 992 | C2×D4 | — | 4 | 2 | no | — |
| 993 | C2×D4 | — | 4 | 2 | no | — |
| 994 | C2×D4 | — | 4 | 2 | no | — |
| 995 | C2×D4 | — | 4 | 4 | no | — |
| 996 | C2×D4 | — | 4 | 4 | no | — |
| 997 | C2×D4 | — | 4 | 2 | no | — |
| 998 | C2×D4 | — | 4 | 2 | no | — |
| 999 | C2×D4 | — | 4 | 2 | no | — |
| 1000 | C2×D4 | — | 16 | 2 | no | — |
| 1001 | C2×D4 | — | 16 | 2 | no | — |
| 1002 | C2×D4 | — | 16 | 2 | no | — |
| 1003 | C2×D4 | — | 16 | 2 | no | — |
| 1004 | C22×C4 | — | 2 | 1 | no | — |
| 1005 | C22×C4 | — | 2 | 1 | no | — |
| 1006 | C22×C4 | — | 2 | 1 | no | — |
| 1007 | C22×C4 | — | 2 | 1 | no | — |
| 1008 | C22×C4 | — | 2 | 2 | no | — |
| 1009 | C22×C4 | — | 2 | 2 | no | — |
| 1010 | C22×C4 | — | 4 | 2 | no | — |
| 1011 | C22×C4 | — | 4 | 2 | no | — |
| 1012 | C22×C4 | — | 4 | 2 | no | — |
| 1013 | C22×C4 | — | 4 | 2 | no | — |
| 1014 | C22×C4 | — | 4 | 4 | no | — |
| 1015 | C22×C4 | — | 4 | 4 | no | — |
| 1016 | C22×C4 | — | 4 | 2 | no | — |
| 1017 | C22×C4 | — | 4 | 2 | no | — |
| 1018 | C22×C4 | — | 8 | 1 | no | — |
| 1019 | C22×C4 | — | 8 | 2 | no | — |
| 1020 | C22×C4 | — | 8 | 4 | no | — |
| 1021 | C22×C4 | — | 16 | 2 | no | — |
| 1022 | C22×C4 | — | 16 | 2 | no | — |
| 1023 | C22×C4 | — | 16 | 2 | no | — |
| 1024 | C22×C4 | — | 16 | 2 | no | — |
| 1025 | C22×C4 | — | 16 | 2 | no | — |
| 1026 | C22×C4 | — | 16 | 2 | no | — |
| 1027 | C22×C4 | — | 16 | 2 | no | — |
| 1028 | C22×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1029 | C22×C4 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1030 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1031 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1032 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1033 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1034 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1035 | C22×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 1036 | Q16 | — | 2 | 2 | no | — |
| 1037 | Q16 | — | 2 | 2 | no | — |
| 1038 | Q16 | — | 8 | 1 | no | — |
| 1039 | SD16 | — | 4 | 2 | no | — |
| 1040 | SD16 | — | 4 | 2 | no | — |
| 1041 | SD16 | — | 8 | 2 | no | — |
| 1042 | D8 | — | 2 | 2 | no | — |
| 1043 | D8 | — | 2 | 4 | no | — |
| 1044 | D8 | — | 2 | 4 | no | — |
| 1045 | D8 | — | 2 | 2 | no | — |
| 1046 | D8 | — | 4 | 2 | no | — |
| 1047 | D8 | — | 4 | 2 | no | — |
| 1048 | D8 | — | 8 | 2 | no | — |
| 1049 | D8 | — | 8 | 2 | no | — |
| 1050 | D8 | — | 8 | 1 | no | — |
| 1051 | M16 | — | 4 | 1 | no | — |
| 1052 | M16 | — | 4 | 1 | no | — |
| 1053 | M16 | — | 4 | 1 | no | — |
| 1054 | M16 | — | 4 | 1 | no | — |
| 1055 | M16 | — | 4 | 2 | no | — |
| 1056 | M16 | — | 4 | 2 | no | — |
| 1057 | M16 | — | 4 | 2 | no | — |
| 1058 | M16 | — | 4 | 2 | no | — |
| 1059 | M16 | — | 8 | 1 | no | — |
| 1060 | M16 | — | 8 | 1 | no | — |
| 1061 | M16 | — | 16 | 2 | no | — |
| 1062 | M16 | — | 16 | 2 | no | — |
| 1063 | C2×C8 | — | 2 | 1 | no | — |
| 1064 | C2×C8 | — | 2 | 1 | no | — |
| 1065 | C2×C8 | — | 2 | 1 | no | — |
| 1066 | C2×C8 | — | 2 | 1 | no | — |
| 1067 | C2×C8 | — | 2 | 1 | no | — |
| 1068 | C2×C8 | — | 2 | 1 | no | — |
| 1069 | C2×C8 | — | 2 | 1 | no | — |
| 1070 | C2×C8 | — | 2 | 1 | no | — |
| 1071 | C2×C8 | — | 2 | 1 | no | — |
| 1072 | C2×C8 | — | 2 | 1 | no | — |
| 1073 | C2×C8 | — | 2 | 1 | no | — |
| 1074 | C2×C8 | — | 2 | 1 | no | — |
| 1075 | C2×C8 | — | 2 | 1 | no | — |
| 1076 | C2×C8 | — | 2 | 1 | no | — |
| 1077 | C2×C8 | — | 2 | 2 | no | — |
| 1078 | C2×C8 | — | 2 | 2 | no | — |
| 1079 | C2×C8 | — | 2 | 2 | no | — |
| 1080 | C2×C8 | — | 2 | 2 | no | — |
| 1081 | C2×C8 | — | 2 | 2 | no | — |
| 1082 | C2×C8 | — | 2 | 2 | no | — |
| 1083 | C2×C8 | — | 4 | 2 | no | — |
| 1084 | C2×C8 | — | 4 | 2 | no | — |
| 1085 | C2×C8 | — | 8 | 1 | no | — |
| 1086 | C2×C8 | — | 8 | 1 | no | — |
| 1087 | C2×C8 | — | 16 | 2 | no | — |
| 1088 | C2×C8 | — | 16 | 2 | no | — |
| 1089 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1090 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1091 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1092 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1093 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1094 | C2×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1095 | C2×C8 | C24×C4 | 1 | 1 | yes | characteristic |
| 1096 | C2×C8 | C22×#41 | 1 | 1 | yes | characteristic |
| 1097 | C2×C8 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1098 | C2×C8 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 1099 | C2×C8 | #585 | 1 | 1 | yes | characteristic |
| 1100 | C2×C8 | #585 | 1 | 1 | yes | characteristic |
| 1101 | C4⋊C4 | — | 2 | 4 | no | — |
| 1102 | C4⋊C4 | — | 2 | 2 | no | — |
| 1103 | C4⋊C4 | — | 2 | 2 | no | — |
| 1104 | C4⋊C4 | — | 4 | 4 | no | — |
| 1105 | C4⋊C4 | — | 4 | 4 | no | — |
| 1106 | C4⋊C4 | — | 4 | 2 | no | — |
| 1107 | C4⋊C4 | — | 4 | 2 | no | — |
| 1108 | C4⋊C4 | — | 4 | 2 | no | — |
| 1109 | C4⋊C4 | — | 4 | 2 | no | — |
| 1110 | C4⋊C4 | — | 4 | 2 | no | — |
| 1111 | C4⋊C4 | — | 4 | 2 | no | — |
| 1112 | C4⋊C4 | — | 4 | 2 | no | — |
| 1113 | C4⋊C4 | — | 4 | 2 | no | — |
| 1114 | C4⋊C4 | — | 4 | 2 | no | — |
| 1115 | C4⋊C4 | — | 4 | 2 | no | — |
| 1116 | C4⋊C4 | — | 4 | 2 | no | — |
| 1117 | C4⋊C4 | — | 4 | 2 | no | — |
| 1118 | C4⋊C4 | — | 4 | 2 | no | — |
| 1119 | C4⋊C4 | — | 8 | 1 | no | — |
| 1120 | C4⋊C4 | — | 8 | 2 | no | — |
| 1121 | C4⋊C4 | — | 8 | 2 | no | — |
| 1122 | C4⋊C4 | — | 8 | 4 | no | — |
| 1123 | C4⋊C4 | — | 16 | 2 | no | — |
| 1124 | C4⋊C4 | — | 16 | 2 | no | — |
| 1125 | C4⋊C4 | #442 | 1 | 2 | yes | — |
| 1126 | C4⋊C4 | #442 | 1 | 2 | yes | — |
| 1127 | C4⋊C4 | #442 | 1 | 2 | yes | — |
| 1128 | C4⋊C4 | #442 | 1 | 2 | yes | — |
| 1129 | C22⋊C4 | — | 4 | 2 | no | — |
| 1130 | C22⋊C4 | — | 4 | 2 | no | — |
| 1131 | C22⋊C4 | — | 4 | 2 | no | — |
| 1132 | C22⋊C4 | — | 4 | 4 | no | — |
| 1133 | C22⋊C4 | — | 4 | 4 | no | — |
| 1134 | C22⋊C4 | — | 4 | 4 | no | — |
| 1135 | C22⋊C4 | — | 4 | 4 | no | — |
| 1136 | C22⋊C4 | — | 4 | 2 | no | — |
| 1137 | C22⋊C4 | — | 4 | 2 | no | — |
| 1138 | C22⋊C4 | — | 4 | 2 | no | — |
| 1139 | C22⋊C4 | — | 4 | 2 | no | — |
| 1140 | C22⋊C4 | — | 4 | 2 | no | — |
| 1141 | C22⋊C4 | — | 4 | 2 | no | — |
| 1142 | C22⋊C4 | — | 8 | 1 | no | — |
| 1143 | C22⋊C4 | — | 8 | 4 | no | — |
| 1144 | C22⋊C4 | — | 16 | 2 | no | — |
| 1145 | C22⋊C4 | — | 16 | 2 | no | — |
| 1146 | C22⋊C4 | — | 16 | 2 | no | — |
| 1147 | C22⋊C4 | — | 16 | 2 | no | — |
| 1148 | C22⋊C4 | — | 16 | 2 | no | — |
| 1149 | C22⋊C4 | — | 16 | 2 | no | — |
| 1150 | C22⋊C4 | #442 | 1 | 2 | yes | — |
| 1151 | C22⋊C4 | #442 | 1 | 2 | yes | — |
| 1152 | C22⋊C4 | #442 | 1 | 2 | yes | — |
| 1153 | C22⋊C4 | #442 | 1 | 2 | yes | — |
| 1154 | C42 | — | 2 | 2 | no | — |
| 1155 | C42 | — | 2 | 2 | no | — |
| 1156 | C42 | — | 2 | 2 | no | — |
| 1157 | C42 | — | 2 | 2 | no | — |
| 1158 | C42 | — | 4 | 2 | no | — |
| 1159 | C42 | — | 4 | 2 | no | — |
| 1160 | C42 | — | 4 | 2 | no | — |
| 1161 | C42 | — | 8 | 1 | no | — |
| 1162 | C42 | — | 16 | 2 | no | — |
| 1163 | C42 | — | 16 | 2 | no | — |
| 1164 | C42 | — | 16 | 2 | no | — |
| 1165 | C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1166 | C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1167 | C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1168 | C42 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 1169 | C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1170 | C42 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 1171 | C16 | — | 2 | 4 | no | — |
| 1172 | C16 | — | 2 | 4 | no | — |
| 1173 | C16 | — | 2 | 2 | no | — |
| 1174 | C16 | — | 2 | 2 | no | — |
| 1175 | C16 | — | 4 | 1 | no | — |
| 1176 | C16 | — | 4 | 1 | no | — |
| 1177 | C23 | — | 2 | 1 | no | — |
| 1178 | C23 | — | 2 | 1 | no | — |
| 1179 | C23 | — | 4 | 2 | no | — |
| 1180 | C23 | — | 4 | 2 | no | — |
| 1181 | C23 | — | 4 | 4 | no | — |
| 1182 | C23 | — | 8 | 2 | no | — |
| 1183 | C23 | — | 8 | 2 | no | — |
| 1184 | C23 | — | 8 | 2 | no | — |
| 1185 | C23 | — | 8 | 2 | no | — |
| 1186 | C23 | — | 8 | 2 | no | — |
| 1187 | C23 | — | 8 | 2 | no | — |
| 1188 | C23 | C2×#442 | 1 | 1 | yes | characteristic |
| 1189 | C23 | C2×#442 | 1 | 1 | yes | characteristic |
| 1190 | C23 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1191 | Q8 | — | 4 | 2 | no | — |
| 1192 | Q8 | — | 4 | 2 | no | — |
| 1193 | Q8 | — | 16 | 2 | no | — |
| 1194 | D4 | — | 4 | 4 | no | — |
| 1195 | D4 | — | 4 | 2 | no | — |
| 1196 | D4 | — | 4 | 4 | no | — |
| 1197 | D4 | — | 4 | 2 | no | — |
| 1198 | D4 | — | 8 | 2 | no | — |
| 1199 | D4 | — | 8 | 2 | no | — |
| 1200 | D4 | — | 8 | 2 | no | — |
| 1201 | D4 | — | 8 | 2 | no | — |
| 1202 | D4 | — | 16 | 2 | no | — |
| 1203 | D4 | — | 16 | 4 | no | — |
| 1204 | D4 | — | 16 | 4 | no | — |
| 1205 | D4 | — | 16 | 2 | no | — |
| 1206 | D4 | — | 16 | 2 | no | — |
| 1207 | D4 | — | 16 | 4 | no | — |
| 1208 | D4 | — | 16 | 4 | no | — |
| 1209 | C2×C4 | — | 2 | 1 | no | — |
| 1210 | C2×C4 | — | 2 | 1 | no | — |
| 1211 | C2×C4 | — | 2 | 1 | no | — |
| 1212 | C2×C4 | — | 2 | 1 | no | — |
| 1213 | C2×C4 | — | 2 | 1 | no | — |
| 1214 | C2×C4 | — | 2 | 1 | no | — |
| 1215 | C2×C4 | — | 2 | 1 | no | — |
| 1216 | C2×C4 | — | 2 | 1 | no | — |
| 1217 | C2×C4 | — | 2 | 1 | no | — |
| 1218 | C2×C4 | — | 2 | 1 | no | — |
| 1219 | C2×C4 | — | 4 | 2 | no | — |
| 1220 | C2×C4 | — | 4 | 2 | no | — |
| 1221 | C2×C4 | — | 4 | 2 | no | — |
| 1222 | C2×C4 | — | 4 | 2 | no | — |
| 1223 | C2×C4 | — | 4 | 2 | no | — |
| 1224 | C2×C4 | — | 4 | 2 | no | — |
| 1225 | C2×C4 | — | 4 | 2 | no | — |
| 1226 | C2×C4 | — | 4 | 2 | no | — |
| 1227 | C2×C4 | — | 4 | 2 | no | — |
| 1228 | C2×C4 | — | 4 | 2 | no | — |
| 1229 | C2×C4 | — | 4 | 2 | no | — |
| 1230 | C2×C4 | — | 4 | 4 | no | — |
| 1231 | C2×C4 | — | 8 | 2 | no | — |
| 1232 | C2×C4 | — | 8 | 2 | no | — |
| 1233 | C2×C4 | — | 8 | 2 | no | — |
| 1234 | C2×C4 | — | 8 | 2 | no | — |
| 1235 | C2×C4 | — | 8 | 2 | no | — |
| 1236 | C2×C4 | — | 8 | 2 | no | — |
| 1237 | C2×C4 | — | 8 | 2 | no | — |
| 1238 | C2×C4 | — | 8 | 2 | no | — |
| 1239 | C2×C4 | — | 8 | 2 | no | — |
| 1240 | C2×C4 | — | 8 | 2 | no | — |
| 1241 | C2×C4 | — | 16 | 2 | no | — |
| 1242 | C2×C4 | — | 16 | 2 | no | — |
| 1243 | C2×C4 | — | 16 | 4 | no | — |
| 1244 | C2×C4 | — | 16 | 4 | no | — |
| 1245 | C2×C4 | — | 16 | 2 | no | — |
| 1246 | C2×C4 | — | 32 | 4 | no | — |
| 1247 | C2×C4 | — | 32 | 4 | no | — |
| 1248 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 1249 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 1250 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 1251 | C2×C4 | C2×#442 | 1 | 2 | yes | — |
| 1252 | C2×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 1253 | C2×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 1254 | C2×C4 | C22×C4×D4 | 1 | 1 | yes | characteristic |
| 1255 | C2×C4 | #3496 | 1 | 1 | yes | characteristic |
| 1256 | C2×C4 | #3497 | 1 | 1 | yes | characteristic |
| 1257 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1258 | C2×C4 | #3584 | 1 | 1 | yes | characteristic |
| 1259 | C2×C4 | #3584 | 1 | 1 | yes | characteristic |
| 1260 | C8 | — | 2 | 1 | no | — |
| 1261 | C8 | — | 2 | 1 | no | — |
| 1262 | C8 | — | 2 | 1 | no | — |
| 1263 | C8 | — | 2 | 1 | no | — |
| 1264 | C8 | — | 2 | 1 | no | — |
| 1265 | C8 | — | 2 | 1 | no | — |
| 1266 | C8 | — | 4 | 2 | no | — |
| 1267 | C8 | — | 4 | 2 | no | — |
| 1268 | C8 | — | 8 | 2 | no | — |
| 1269 | C8 | — | 8 | 2 | no | — |
| 1270 | C8 | C4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 1271 | C8 | C4×2−1+4 | 1 | 1 | yes | characteristic |
| 1272 | C8 | #3492 | 1 | 1 | yes | characteristic |
| 1273 | C8 | #3493 | 1 | 1 | yes | characteristic |
| 1274 | C22 | — | 2 | 2 | no | — |
| 1275 | C22 | — | 2 | 1 | no | — |
| 1276 | C22 | — | 2 | 1 | no | — |
| 1277 | C22 | — | 2 | 2 | no | — |
| 1278 | C22 | — | 2 | 2 | no | — |
| 1279 | C22 | — | 8 | 1 | no | — |
| 1280 | C22 | — | 8 | 1 | no | — |
| 1281 | C22 | — | 8 | 2 | no | — |
| 1282 | C22 | — | 8 | 4 | no | — |
| 1283 | C22 | — | 8 | 4 | no | — |
| 1284 | C22 | — | 8 | 2 | no | — |
| 1285 | C22 | — | 8 | 2 | no | — |
| 1286 | C22 | — | 8 | 4 | no | — |
| 1287 | C22 | — | 16 | 2 | no | — |
| 1288 | C22 | — | 16 | 2 | no | — |
| 1289 | C22 | — | 16 | 2 | no | — |
| 1290 | C22 | — | 16 | 2 | no | — |
| 1291 | C22 | C22×#442 | 1 | 1 | yes | characteristic |
| 1292 | C22 | #62259 | 1 | 1 | yes | characteristic |
| 1293 | C22 | #62365 | 1 | 1 | yes | characteristic |
| 1294 | C4 | — | 2 | 1 | no | — |
| 1295 | C4 | — | 2 | 1 | no | — |
| 1296 | C4 | — | 2 | 2 | no | — |
| 1297 | C4 | — | 2 | 2 | no | — |
| 1298 | C4 | — | 2 | 2 | no | — |
| 1299 | C4 | — | 2 | 2 | no | — |
| 1300 | C4 | — | 8 | 2 | no | — |
| 1301 | C4 | — | 8 | 2 | no | — |
| 1302 | C4 | — | 8 | 2 | no | — |
| 1303 | C4 | — | 8 | 4 | no | — |
| 1304 | C4 | — | 8 | 2 | no | — |
| 1305 | C4 | — | 8 | 2 | no | — |
| 1306 | C4 | — | 16 | 2 | no | — |
| 1307 | C4 | — | 16 | 2 | no | — |
| 1308 | C4 | #34274 | 1 | 1 | yes | characteristic |
| 1309 | C4 | #60161 | 1 | 1 | yes | characteristic |
| 1310 | C4 | #62259 | 1 | 1 | yes | characteristic |
| 1311 | C4 | #62365 | 1 | 1 | yes | characteristic |
| 1312 | C2 | — | 2 | 1 | no | — |
| 1313 | C2 | — | 2 | 1 | no | — |
| 1314 | C2 | — | 4 | 1 | no | — |
| 1315 | C2 | — | 4 | 1 | no | — |
| 1316 | C2 | — | 16 | 2 | no | — |
| 1317 | C2 | — | 16 | 4 | no | — |
| 1318 | C2 | #6396255 | 1 | 1 | yes | characteristic |
| 1319 | C2 | #7622637 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C22×#442 |
| commutator | C2×C8 | C24×C4 |
| Frattini, cosocle | C22×C8 | C25 |
| prime radical | #7623475 | C2 |
| LCS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×#117 ◁ #20436 ◁ G | |
| LECS | G ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #6389387 | C2 | semidirect |
| 3. #6389364 | C2 | semidirect |
| 4. #498470 | C2 | semidirect |
| 5. #498464 | C2 | semidirect |
| 6. #498423 | C2 | semidirect |
| 7. #498419 | C2 | semidirect |
| 8. #498334 | C2 | semidirect |
| 9. #498331 | C2 | semidirect |
| 10. #498277 | C2 | semidirect |
| 11. #498276 | C2 | semidirect |
| 12. #497033 | C2 | semidirect |
| 13. #497030 | C2 | semidirect |
| 14. #496696 | C2 | semidirect |
| 15. #495897 | C2 | semidirect |
| 16. #495895 | C2 | semidirect |
| 17. #495572 | C2 | semidirect |
| 18. #495566 | C2 | semidirect |
| 19. #493129 | C2 | semidirect |
| 24. #33826 | C4 | semidirect |
| 25. #33826 | C4 | semidirect |
| 26. #33825 | C4 | semidirect |
| 27. #33825 | C4 | semidirect |
| 28. #33823 | C4 | semidirect |
| 29. #33823 | C4 | semidirect |
| 133. #3177 | C2×C4 | semidirect |
| 134. #3177 | C2×C4 | semidirect |
| 143. #3176 | C2×C4 | semidirect |
| 144. #3176 | C2×C4 | semidirect |
| 145. #3175 | C2×C4 | semidirect |
| 146. #3175 | C2×C4 | semidirect |
| 196. #2229 | C2×C4 | semidirect |
| 197. #2229 | C2×C4 | semidirect |
| 198. #2228 | C2×C4 | semidirect |
| 199. #2228 | C2×C4 | semidirect |
| 200. #2228 | C2×C4 | semidirect |
| 201. #2228 | C2×C4 | semidirect |
| 202. #2226 | C2×C4 | semidirect |
| 203. #2224 | C2×C4 | semidirect |
| 204. #2220 | C2×C4 | semidirect |
| 205. #2220 | C2×C4 | semidirect |
| 206. #2218 | C2×C4 | semidirect |
| 207. #2218 | C2×C4 | semidirect |
| 208. #2217 | C2×C4 | semidirect |
| 209. #2217 | C2×C4 | semidirect |
| 210. #2215 | C2×C4 | semidirect |
| 211. #2215 | C2×C4 | semidirect |
| 212. #2210 | C2×C4 | semidirect |
| 213. #2210 | C2×C4 | semidirect |
| 214. #2208 | C2×C4 | semidirect |
| 215. #2207 | C2×C4 | semidirect |
| 216. #2207 | C2×C4 | semidirect |
| 217. #2206 | C2×C4 | semidirect |
| 218. #2206 | C2×C4 | semidirect |
| 219. #2206 | C2×C4 | semidirect |
| 228. #2151 | C2×C4 | semidirect |
| 229. #2151 | C2×C4 | semidirect |
| 230. #2151 | C2×C4 | semidirect |
| 231. #2151 | C2×C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #7623475 | 2 |
| #6389387 | 2 |
| #6389364 | 2 |
| #498470 | 2 |
| #498464 | 2 |
| #498423 | 2 |
| #498419 | 2 |
| #498334 | 2 |
| #498331 | 2 |
| #498277 | 2 |
| #498276 | 2 |
| #497033 | 2 |
| #497030 | 2 |
| #496696 | 2 |
| #495897 | 2 |
| #495895 | 2 |
| #495572 | 2 |
| #495566 | 2 |
| #493129 | 2 |