Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
2066 conjugacy classes of subgroups.
The subgroup lattice has 1186 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72225516 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72225388 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #72225354 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72225158 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72223683 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72216393 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72216279 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #7623661 | C4 | 1 | 1 | yes | characteristic |
| 9 | #7622628 | — | 2 | 1 | no | — |
| 10 | #6383885 | — | 2 | 1 | no | — |
| 11 | #498569 | C4 | 1 | 1 | yes | characteristic |
| 12 | #498368 | — | 2 | 1 | no | — |
| 13 | #498314 | — | 2 | 1 | no | — |
| 14 | #498173 | — | 2 | 2 | no | — |
| 15 | #497894 | C4 | 1 | 1 | yes | characteristic |
| 16 | #497857 | C4 | 1 | 1 | yes | characteristic |
| 17 | #497457 | — | 2 | 1 | no | — |
| 18 | #497407 | — | 2 | 1 | no | — |
| 19 | #496112 | C22 | 1 | 1 | yes | characteristic |
| 20 | #495894 | — | 2 | 1 | no | — |
| 21 | #495835 | — | 2 | 1 | no | — |
| 22 | #495720 | — | 2 | 2 | no | — |
| 23 | #493242 | C22 | 1 | 1 | yes | characteristic |
| 24 | #493217 | C22 | 1 | 1 | yes | characteristic |
| 25 | #151981 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C4×#1398 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #150074 | — | 2 | 1 | no | — |
| 28 | C2×#7389 | — | 2 | 2 | no | — |
| 29 | C2×#7389 | — | 2 | 1 | no | — |
| 30 | #150053 | — | 2 | 1 | no | — |
| 31 | #135715 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | #134368 | — | 2 | 1 | no | — |
| 33 | #129090 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #94058 | — | 2 | 1 | no | — |
| 35 | #94057 | — | 2 | 1 | no | — |
| 36 | #94042 | — | 2 | 1 | no | — |
| 37 | #93926 | — | 2 | 2 | no | — |
| 38 | #93444 | — | 2 | 1 | no | — |
| 39 | #62635 | — | 2 | 1 | no | — |
| 40 | #61105 | — | 2 | 1 | no | — |
| 41 | #60183 | — | 2 | 2 | no | — |
| 42 | #60183 | — | 4 | 1 | no | — |
| 43 | #33860 | C8 | 1 | 2 | yes | complemented |
| 44 | #33859 | — | 2 | 2 | no | — |
| 45 | #33858 | C8 | 1 | 2 | yes | complemented |
| 46 | #33857 | — | 2 | 2 | no | — |
| 47 | #33856 | — | 2 | 2 | no | — |
| 48 | #33713 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | #33617 | — | 2 | 1 | no | — |
| 50 | #33594 | — | 2 | 1 | no | — |
| 51 | #33538 | — | 2 | 2 | no | — |
| 52 | #33465 | — | 2 | 1 | no | — |
| 53 | #33465 | — | 2 | 1 | no | — |
| 54 | #33465 | — | 4 | 2 | no | — |
| 55 | #33464 | — | 2 | 2 | no | — |
| 56 | #33464 | — | 4 | 2 | no | — |
| 57 | #33463 | — | 2 | 2 | no | — |
| 58 | #33463 | — | 4 | 2 | no | — |
| 59 | C2×#2179 | — | 2 | 1 | no | — |
| 60 | C2×#2179 | — | 4 | 2 | no | — |
| 61 | C2×#2179 | D4 | 1 | 1 | yes | characteristic |
| 62 | C2×#2179 | D4 | 1 | 2 | yes | — |
| 63 | C2×#2178 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | #33451 | D4 | 1 | 1 | yes | characteristic |
| 65 | C2×#2170 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | C2×#2170 | D4 | 1 | 1 | yes | characteristic |
| 67 | #33414 | — | 2 | 1 | no | — |
| 68 | #33385 | — | 2 | 2 | no | — |
| 69 | #33326 | — | 2 | 1 | no | — |
| 70 | #23196 | — | 2 | 1 | no | — |
| 71 | #23042 | — | 2 | 2 | no | — |
| 72 | #23042 | — | 4 | 1 | no | — |
| 73 | #22899 | — | 4 | 2 | no | — |
| 74 | #22694 | — | 2 | 1 | no | — |
| 75 | #22694 | — | 2 | 1 | no | — |
| 76 | #22462 | — | 2 | 2 | no | — |
| 77 | #22462 | — | 4 | 1 | no | — |
| 78 | #21705 | — | 2 | 1 | no | — |
| 79 | #21558 | — | 2 | 2 | no | — |
| 80 | #21558 | — | 4 | 1 | no | — |
| 81 | #21477 | — | 4 | 2 | no | — |
| 82 | C4×#443 | — | 2 | 1 | no | — |
| 83 | C4×#443 | D4 | 1 | 1 | yes | characteristic |
| 84 | C2×#1422 | — | 2 | 1 | no | — |
| 85 | C2×#1398 | — | 2 | 1 | no | — |
| 86 | C2×#1398 | — | 2 | 1 | no | — |
| 87 | C2×#1398 | — | 2 | 1 | no | — |
| 88 | C4×M64 | — | 2 | 1 | no | — |
| 89 | #13259 | — | 2 | 1 | no | — |
| 90 | #13243 | — | 2 | 1 | no | — |
| 91 | #13242 | — | 2 | 1 | no | — |
| 92 | #13242 | D4 | 1 | 2 | yes | — |
| 93 | #13208 | — | 2 | 1 | no | — |
| 94 | #13182 | — | 2 | 1 | no | — |
| 95 | #13173 | — | 2 | 1 | no | — |
| 96 | #13146 | — | 2 | 2 | no | — |
| 97 | #13137 | — | 2 | 2 | no | — |
| 98 | #13071 | — | 2 | 2 | no | — |
| 99 | #13027 | — | 2 | 2 | no | — |
| 100 | #13021 | — | 2 | 2 | no | — |
| 101 | #13016 | — | 2 | 2 | no | — |
| 102 | #12995 | — | 2 | 2 | no | — |
| 103 | #12947 | — | 2 | 2 | no | — |
| 104 | #12942 | — | 2 | 2 | no | — |
| 105 | #12927 | — | 2 | 2 | no | — |
| 106 | #12909 | C2×C4 | 1 | 1 | yes | characteristic |
| 107 | #12841 | — | 2 | 1 | no | — |
| 108 | #12822 | — | 2 | 1 | no | — |
| 109 | #12747 | — | 2 | 2 | no | — |
| 110 | #12676 | D4 | 1 | 1 | yes | characteristic |
| 111 | #12671 | D4 | 1 | 1 | yes | characteristic |
| 112 | #12670 | C2×C4 | 1 | 1 | yes | characteristic |
| 113 | #12664 | C2×C4 | 1 | 1 | yes | characteristic |
| 114 | #12664 | D4 | 1 | 1 | yes | characteristic |
| 115 | C4×#364 | — | 2 | 1 | no | — |
| 116 | C4×#364 | D4 | 1 | 1 | yes | characteristic |
| 117 | #12646 | — | 2 | 2 | no | — |
| 118 | #12642 | — | 2 | 1 | no | — |
| 119 | #12641 | — | 2 | 1 | no | — |
| 120 | #12640 | — | 2 | 1 | no | — |
| 121 | #12615 | — | 2 | 1 | no | — |
| 122 | #12615 | — | 2 | 1 | no | — |
| 123 | #12604 | — | 2 | 1 | no | — |
| 124 | C4×#346 | C23 | 1 | 1 | yes | characteristic |
| 125 | C2×#1369 | — | 2 | 1 | no | — |
| 126 | C2×#1368 | — | 2 | 1 | no | — |
| 127 | C2×#1368 | — | 2 | 1 | no | — |
| 128 | #11598 | — | 4 | 1 | no | — |
| 129 | #8805 | — | 2 | 1 | no | — |
| 130 | #7468 | — | 2 | 1 | no | — |
| 131 | #7391 | — | 2 | 2 | no | — |
| 132 | #7390 | — | 2 | 2 | no | — |
| 133 | #7389 | — | 4 | 4 | no | — |
| 134 | #7389 | — | 4 | 2 | no | — |
| 135 | #7382 | — | 2 | 4 | no | — |
| 136 | #7173 | — | 4 | 1 | no | — |
| 137 | #7161 | — | 2 | 1 | no | — |
| 138 | #3584 | — | 2 | 2 | no | — |
| 139 | #3584 | — | 4 | 1 | no | — |
| 140 | #3573 | — | 4 | 2 | no | — |
| 141 | #3417 | — | 2 | 2 | no | — |
| 142 | #3417 | — | 4 | 1 | no | — |
| 143 | #3416 | — | 2 | 4 | no | — |
| 144 | #3416 | — | 4 | 2 | no | — |
| 145 | #3415 | — | 2 | 2 | no | — |
| 146 | #3415 | — | 4 | 1 | no | — |
| 147 | #3414 | — | 2 | 2 | no | — |
| 148 | #3414 | — | 4 | 2 | no | — |
| 149 | C2×#508 | — | 2 | 1 | no | — |
| 150 | C2×#508 | — | 4 | 2 | no | — |
| 151 | C2×#508 | C22⋊C4 | 1 | 2 | yes | — |
| 152 | C2×#508 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 153 | C2×#504 | — | 2 | 1 | no | — |
| 154 | C2×#504 | — | 2 | 1 | no | — |
| 155 | #3293 | — | 2 | 2 | no | — |
| 156 | #3292 | — | 2 | 2 | no | — |
| 157 | #3291 | — | 4 | 2 | no | — |
| 158 | #3290 | — | 2 | 4 | no | — |
| 159 | #3290 | — | 4 | 2 | no | — |
| 160 | #3147 | — | 2 | 1 | no | — |
| 161 | #3067 | — | 2 | 2 | no | — |
| 162 | #3067 | — | 4 | 1 | no | — |
| 163 | #3018 | — | 4 | 2 | no | — |
| 164 | #2957 | — | 2 | 2 | no | — |
| 165 | #2957 | — | 2 | 2 | no | — |
| 166 | #2957 | — | 4 | 1 | no | — |
| 167 | #2957 | — | 4 | 1 | no | — |
| 168 | #2957 | — | 4 | 4 | no | — |
| 169 | #2957 | — | 8 | 2 | no | — |
| 170 | #2956 | — | 4 | 2 | no | — |
| 171 | #2956 | — | 4 | 2 | no | — |
| 172 | #2956 | — | 8 | 2 | no | — |
| 173 | #2956 | — | 8 | 2 | no | — |
| 174 | #2955 | — | 4 | 2 | no | — |
| 175 | #2955 | — | 4 | 2 | no | — |
| 176 | #2955 | — | 8 | 2 | no | — |
| 177 | #2955 | — | 8 | 2 | no | — |
| 178 | C2×#443 | — | 2 | 1 | no | — |
| 179 | C2×#443 | — | 2 | 1 | no | — |
| 180 | C2×#443 | — | 2 | 2 | no | — |
| 181 | C2×#443 | — | 4 | 1 | no | — |
| 182 | C2×#443 | — | 4 | 4 | no | — |
| 183 | C2×#443 | — | 8 | 2 | no | — |
| 184 | C2×#443 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 185 | C2×#443 | SD16 | 1 | 1 | yes | characteristic |
| 186 | C4×#135 | — | 2 | 1 | no | — |
| 187 | C4×#135 | D8 | 1 | 1 | yes | characteristic |
| 188 | #2931 | — | 4 | 1 | no | — |
| 189 | #2916 | — | 2 | 2 | no | — |
| 190 | #2916 | — | 4 | 1 | no | — |
| 191 | #2901 | — | 4 | 2 | no | — |
| 192 | #2901 | — | 4 | 2 | no | — |
| 193 | C4×#131 | — | 2 | 1 | no | — |
| 194 | C4×#131 | — | 4 | 1 | no | — |
| 195 | C2×M64 | — | 4 | 1 | no | — |
| 196 | C2×M64 | — | 4 | 1 | no | — |
| 197 | #2249 | — | 2 | 1 | no | — |
| 198 | #2249 | M16 | 1 | 2 | yes | — |
| 199 | #2248 | — | 2 | 1 | no | — |
| 200 | #2247 | C2×C8 | 1 | 1 | yes | characteristic |
| 201 | #2246 | C2×C8 | 1 | 1 | yes | characteristic |
| 202 | #2223 | — | 2 | 4 | no | — |
| 203 | #2222 | — | 2 | 2 | no | — |
| 204 | #2221 | — | 2 | 2 | no | — |
| 205 | #2214 | — | 2 | 2 | no | — |
| 206 | #2213 | — | 2 | 2 | no | — |
| 207 | #2212 | — | 2 | 4 | no | — |
| 208 | #2195 | — | 2 | 4 | no | — |
| 209 | #2194 | — | 2 | 4 | no | — |
| 210 | #2193 | — | 2 | 4 | no | — |
| 211 | #2192 | — | 2 | 4 | no | — |
| 212 | #2179 | — | 2 | 1 | no | — |
| 213 | #2179 | — | 2 | 1 | no | — |
| 214 | #2179 | — | 4 | 2 | no | — |
| 215 | #2179 | — | 4 | 2 | no | — |
| 216 | #2179 | — | 4 | 4 | no | — |
| 217 | #2179 | — | 4 | 4 | no | — |
| 218 | #2179 | — | 4 | 2 | no | — |
| 219 | #2179 | — | 4 | 2 | no | — |
| 220 | #2179 | — | 4 | 1 | no | — |
| 221 | #2179 | — | 4 | 1 | no | — |
| 222 | #2179 | — | 4 | 1 | no | — |
| 223 | #2179 | — | 4 | 1 | no | — |
| 224 | #2179 | D8 | 1 | 2 | yes | — |
| 225 | #2179 | SD16 | 1 | 2 | yes | — |
| 226 | #2178 | — | 2 | 1 | no | — |
| 227 | #2178 | — | 2 | 1 | no | — |
| 228 | #2178 | — | 4 | 4 | no | — |
| 229 | #2178 | — | 4 | 2 | no | — |
| 230 | #2178 | — | 4 | 4 | no | — |
| 231 | #2178 | — | 4 | 2 | no | — |
| 232 | #2178 | C2×C8 | 1 | 2 | yes | — |
| 233 | #2178 | M16 | 1 | 2 | yes | — |
| 234 | #2177 | — | 2 | 1 | no | — |
| 235 | #2176 | — | 2 | 1 | no | — |
| 236 | #2175 | — | 4 | 1 | no | — |
| 237 | #2170 | — | 2 | 2 | no | — |
| 238 | #2170 | — | 2 | 1 | no | — |
| 239 | #2170 | — | 2 | 1 | no | — |
| 240 | #2170 | — | 4 | 1 | no | — |
| 241 | #2170 | C2×C8 | 1 | 2 | yes | — |
| 242 | #2170 | M16 | 1 | 2 | yes | — |
| 243 | #2161 | — | 2 | 2 | no | — |
| 244 | #2161 | — | 4 | 2 | no | — |
| 245 | C2×#368 | — | 2 | 1 | no | — |
| 246 | C2×#368 | — | 4 | 2 | no | — |
| 247 | C2×#368 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 248 | C2×#368 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 249 | C2×#368 | C22⋊C4 | 1 | 2 | yes | — |
| 250 | #2158 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 251 | C2×#364 | — | 4 | 1 | no | — |
| 252 | C2×#364 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 253 | C2×#364 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 254 | #2148 | — | 2 | 2 | no | — |
| 255 | #2145 | — | 2 | 2 | no | — |
| 256 | #2143 | — | 2 | 2 | no | — |
| 257 | #2143 | — | 2 | 2 | no | — |
| 258 | #2143 | — | 4 | 4 | no | — |
| 259 | C2×#359 | — | 2 | 1 | no | — |
| 260 | C2×#359 | — | 2 | 1 | no | — |
| 261 | C2×#359 | — | 2 | 2 | no | — |
| 262 | C2×#359 | — | 2 | 2 | no | — |
| 263 | C2×#359 | — | 4 | 4 | no | — |
| 264 | #2138 | — | 2 | 1 | no | — |
| 265 | C2×#350 | — | 2 | 1 | no | — |
| 266 | C2×#350 | — | 2 | 1 | no | — |
| 267 | #2108 | — | 2 | 1 | no | — |
| 268 | #2108 | — | 2 | 1 | no | — |
| 269 | #2108 | — | 4 | 1 | no | — |
| 270 | #2108 | — | 4 | 1 | no | — |
| 271 | C4×M32 | — | 2 | 1 | no | — |
| 272 | C4×M32 | — | 4 | 1 | no | — |
| 273 | C4×M32 | — | 4 | 1 | no | — |
| 274 | C2×#346 | — | 4 | 1 | no | — |
| 275 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 277 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 278 | C2×#346 | C2×D4 | 1 | 1 | yes | characteristic |
| 279 | C2×C4×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 280 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 281 | #1976 | — | 2 | 2 | no | — |
| 282 | #1976 | — | 4 | 1 | no | — |
| 283 | #1974 | — | 2 | 2 | no | — |
| 284 | #1974 | — | 4 | 1 | no | — |
| 285 | #1962 | — | 4 | 1 | no | — |
| 286 | #1953 | — | 2 | 2 | no | — |
| 287 | #1953 | — | 4 | 1 | no | — |
| 288 | #1932 | — | 4 | 2 | no | — |
| 289 | #1932 | — | 4 | 2 | no | — |
| 290 | #1906 | — | 4 | 2 | no | — |
| 291 | #1906 | — | 4 | 2 | no | — |
| 292 | #1884 | — | 4 | 2 | no | — |
| 293 | #1881 | — | 4 | 2 | no | — |
| 294 | #1881 | — | 4 | 2 | no | — |
| 295 | #1861 | — | 4 | 2 | no | — |
| 296 | #1861 | — | 4 | 2 | no | — |
| 297 | #1858 | — | 4 | 2 | no | — |
| 298 | #1848 | — | 2 | 1 | no | — |
| 299 | #1842 | — | 4 | 1 | no | — |
| 300 | #1814 | — | 2 | 2 | no | — |
| 301 | #1814 | — | 4 | 1 | no | — |
| 302 | #1794 | — | 4 | 2 | no | — |
| 303 | C4×#108 | — | 2 | 1 | no | — |
| 304 | C4×#108 | D8 | 1 | 1 | yes | characteristic |
| 305 | #1772 | — | 2 | 1 | no | — |
| 306 | #1772 | — | 2 | 1 | no | — |
| 307 | #1772 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 308 | #1772 | SD16 | 1 | 1 | yes | characteristic |
| 309 | #1764 | — | 2 | 1 | no | — |
| 310 | #1764 | — | 2 | 1 | no | — |
| 311 | #1764 | — | 4 | 1 | no | — |
| 312 | #1764 | — | 4 | 1 | no | — |
| 313 | C4×#104 | — | 2 | 1 | no | — |
| 314 | C4×#104 | — | 4 | 1 | no | — |
| 315 | #1757 | — | 4 | 2 | no | — |
| 316 | C42×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 317 | C2×#334 | — | 4 | 1 | no | — |
| 318 | C2×#334 | — | 4 | 1 | no | — |
| 319 | #1422 | — | 2 | 2 | no | — |
| 320 | #1422 | — | 4 | 1 | no | — |
| 321 | #1398 | — | 2 | 2 | no | — |
| 322 | #1398 | — | 2 | 2 | no | — |
| 323 | #1398 | — | 4 | 1 | no | — |
| 324 | #1398 | — | 4 | 1 | no | — |
| 325 | #1398 | — | 4 | 1 | no | — |
| 326 | #1398 | — | 4 | 1 | no | — |
| 327 | #1397 | — | 2 | 2 | no | — |
| 328 | C4×C32 | — | 4 | 1 | no | — |
| 329 | #1389 | — | 2 | 2 | no | — |
| 330 | #1388 | — | 2 | 2 | no | — |
| 331 | #1382 | — | 2 | 1 | no | — |
| 332 | #1382 | — | 2 | 1 | no | — |
| 333 | #1381 | — | 2 | 1 | no | — |
| 334 | #1379 | — | 2 | 1 | no | — |
| 335 | #1379 | — | 2 | 1 | no | — |
| 336 | #1376 | — | 2 | 1 | no | — |
| 337 | #1376 | — | 4 | 1 | no | — |
| 338 | #1369 | — | 2 | 2 | no | — |
| 339 | #1369 | — | 4 | 1 | no | — |
| 340 | #1368 | — | 4 | 2 | no | — |
| 341 | #1368 | — | 4 | 1 | no | — |
| 342 | #1368 | — | 4 | 1 | no | — |
| 343 | #1334 | — | 8 | 1 | no | — |
| 344 | #1333 | — | 8 | 1 | no | — |
| 345 | #585 | — | 4 | 2 | no | — |
| 346 | #578 | — | 2 | 4 | no | — |
| 347 | #578 | — | 4 | 2 | no | — |
| 348 | #578 | — | 4 | 2 | no | — |
| 349 | #578 | — | 8 | 1 | no | — |
| 350 | #577 | — | 4 | 4 | no | — |
| 351 | #577 | — | 4 | 4 | no | — |
| 352 | #577 | — | 8 | 2 | no | — |
| 353 | #577 | — | 8 | 2 | no | — |
| 354 | #576 | — | 2 | 4 | no | — |
| 355 | #576 | — | 4 | 2 | no | — |
| 356 | #576 | — | 4 | 2 | no | — |
| 357 | #576 | — | 8 | 1 | no | — |
| 358 | #575 | — | 4 | 2 | no | — |
| 359 | #575 | — | 4 | 2 | no | — |
| 360 | #575 | — | 8 | 2 | no | — |
| 361 | #575 | — | 8 | 2 | no | — |
| 362 | C2×#135 | — | 2 | 1 | no | — |
| 363 | C2×#135 | — | 2 | 2 | no | — |
| 364 | C2×#135 | — | 4 | 4 | no | — |
| 365 | C2×#135 | — | 4 | 1 | no | — |
| 366 | C2×#135 | — | 8 | 2 | no | — |
| 367 | C2×#135 | #102 | 1 | 1 | yes | characteristic |
| 368 | #568 | — | 4 | 2 | no | — |
| 369 | #568 | — | 4 | 2 | no | — |
| 370 | #568 | — | 4 | 2 | no | — |
| 371 | #568 | — | 8 | 4 | no | — |
| 372 | #568 | — | 8 | 4 | no | — |
| 373 | #568 | — | 16 | 2 | no | — |
| 374 | C2×#131 | — | 2 | 1 | no | — |
| 375 | C2×#131 | — | 2 | 1 | no | — |
| 376 | C2×#131 | — | 4 | 1 | no | — |
| 377 | C2×#131 | — | 4 | 1 | no | — |
| 378 | C2×#131 | — | 4 | 2 | no | — |
| 379 | C2×#131 | — | 8 | 4 | no | — |
| 380 | C2×#131 | — | 8 | 4 | no | — |
| 381 | C2×#131 | — | 16 | 2 | no | — |
| 382 | #532 | — | 4 | 1 | no | — |
| 383 | C4×#41 | — | 2 | 1 | no | — |
| 384 | C4×#41 | — | 4 | 1 | no | — |
| 385 | #510 | — | 2 | 4 | no | — |
| 386 | #510 | — | 4 | 4 | no | — |
| 387 | #510 | — | 4 | 4 | no | — |
| 388 | #510 | — | 4 | 2 | no | — |
| 389 | #509 | — | 2 | 4 | no | — |
| 390 | #509 | — | 4 | 4 | no | — |
| 391 | #509 | — | 4 | 4 | no | — |
| 392 | #509 | — | 4 | 2 | no | — |
| 393 | #508 | — | 2 | 1 | no | — |
| 394 | #508 | — | 2 | 1 | no | — |
| 395 | #508 | — | 4 | 2 | no | — |
| 396 | #508 | — | 4 | 2 | no | — |
| 397 | #508 | — | 4 | 4 | no | — |
| 398 | #508 | — | 4 | 4 | no | — |
| 399 | #508 | — | 4 | 2 | no | — |
| 400 | #508 | — | 4 | 2 | no | — |
| 401 | #508 | — | 4 | 1 | no | — |
| 402 | #508 | — | 4 | 1 | no | — |
| 403 | #508 | — | 4 | 1 | no | — |
| 404 | #508 | — | 4 | 1 | no | — |
| 405 | #508 | C22⋊C8 | 1 | 2 | yes | — |
| 406 | #508 | #102 | 1 | 2 | yes | — |
| 407 | C2×Q32 | — | 2 | 1 | no | — |
| 408 | C2×Q32 | — | 4 | 2 | no | — |
| 409 | C2×Q32 | C22⋊C8 | 1 | 2 | yes | — |
| 410 | C2×Q32 | #104 | 1 | 1 | yes | characteristic |
| 411 | C2×SD32 | — | 2 | 2 | no | — |
| 412 | C2×SD32 | — | 2 | 2 | no | — |
| 413 | C2×SD32 | — | 2 | 1 | no | — |
| 414 | C2×SD32 | — | 4 | 4 | no | — |
| 415 | C2×D16 | — | 2 | 1 | no | — |
| 416 | C2×D16 | — | 4 | 2 | no | — |
| 417 | C2×D16 | C22⋊C8 | 1 | 2 | yes | — |
| 418 | C2×D16 | #104 | 1 | 1 | yes | characteristic |
| 419 | #504 | — | 2 | 2 | no | — |
| 420 | #504 | — | 2 | 2 | no | — |
| 421 | #504 | — | 4 | 2 | no | — |
| 422 | #504 | — | 4 | 1 | no | — |
| 423 | #504 | — | 4 | 1 | no | — |
| 424 | #504 | — | 8 | 1 | no | — |
| 425 | C2×M32 | — | 2 | 1 | no | — |
| 426 | C2×M32 | — | 2 | 1 | no | — |
| 427 | C2×M32 | — | 4 | 1 | no | — |
| 428 | C2×M32 | — | 4 | 1 | no | — |
| 429 | C2×M32 | — | 8 | 1 | no | — |
| 430 | C22×C16 | — | 4 | 1 | no | — |
| 431 | C22×C16 | — | 4 | 1 | no | — |
| 432 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 433 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 434 | C22×C16 | #120 | 1 | 1 | yes | characteristic |
| 435 | C22×C16 | #120 | 1 | 1 | yes | characteristic |
| 436 | #495 | — | 2 | 2 | no | — |
| 437 | #495 | — | 4 | 1 | no | — |
| 438 | #494 | — | 2 | 1 | no | — |
| 439 | #493 | — | 2 | 1 | no | — |
| 440 | #492 | — | 4 | 1 | no | — |
| 441 | #473 | — | 2 | 4 | no | — |
| 442 | #473 | — | 4 | 2 | no | — |
| 443 | #472 | — | 2 | 4 | no | — |
| 444 | #472 | — | 4 | 2 | no | — |
| 445 | #471 | — | 4 | 4 | no | — |
| 446 | #471 | — | 4 | 4 | no | — |
| 447 | #456 | — | 4 | 4 | no | — |
| 448 | #455 | — | 4 | 4 | no | — |
| 449 | #454 | — | 4 | 4 | no | — |
| 450 | #453 | — | 4 | 4 | no | — |
| 451 | #444 | — | 8 | 4 | no | — |
| 452 | #444 | — | 8 | 2 | no | — |
| 453 | #444 | — | 8 | 2 | no | — |
| 454 | #444 | — | 8 | 4 | no | — |
| 455 | #444 | — | 8 | 4 | no | — |
| 456 | #444 | — | 8 | 4 | no | — |
| 457 | #444 | — | 8 | 2 | no | — |
| 458 | #444 | — | 8 | 2 | no | — |
| 459 | #443 | — | 2 | 2 | no | — |
| 460 | #443 | — | 2 | 2 | no | — |
| 461 | #443 | — | 2 | 2 | no | — |
| 462 | #443 | — | 2 | 1 | no | — |
| 463 | #443 | — | 2 | 2 | no | — |
| 464 | #443 | — | 2 | 1 | no | — |
| 465 | #443 | — | 2 | 2 | no | — |
| 466 | #443 | — | 2 | 2 | no | — |
| 467 | #443 | — | 4 | 4 | no | — |
| 468 | #443 | — | 4 | 4 | no | — |
| 469 | #443 | — | 4 | 1 | no | — |
| 470 | #443 | — | 4 | 1 | no | — |
| 471 | #443 | — | 4 | 2 | no | — |
| 472 | #443 | — | 4 | 2 | no | — |
| 473 | #443 | — | 4 | 1 | no | — |
| 474 | #443 | — | 4 | 2 | no | — |
| 475 | #443 | — | 4 | 1 | no | — |
| 476 | #443 | — | 4 | 2 | no | — |
| 477 | #443 | — | 8 | 1 | no | — |
| 478 | #443 | — | 8 | 1 | no | — |
| 479 | #443 | — | 8 | 1 | no | — |
| 480 | #443 | — | 8 | 1 | no | — |
| 481 | #443 | — | 8 | 4 | no | — |
| 482 | #443 | — | 8 | 4 | no | — |
| 483 | #443 | — | 8 | 4 | no | — |
| 484 | #443 | — | 8 | 2 | no | — |
| 485 | #443 | — | 8 | 4 | no | — |
| 486 | #443 | — | 8 | 2 | no | — |
| 487 | #443 | C22⋊C8 | 1 | 2 | yes | — |
| 488 | #443 | #104 | 1 | 2 | yes | — |
| 489 | C4×Q16 | — | 2 | 1 | no | — |
| 490 | C4×Q16 | — | 4 | 1 | no | — |
| 491 | C4×SD16 | — | 4 | 1 | no | — |
| 492 | C4×SD16 | — | 8 | 1 | no | — |
| 493 | C4×D8 | — | 2 | 1 | no | — |
| 494 | C4×D8 | — | 4 | 1 | no | — |
| 495 | #436 | — | 16 | 1 | no | — |
| 496 | C8×D4 | — | 16 | 1 | no | — |
| 497 | #430 | — | 4 | 2 | no | — |
| 498 | #430 | — | 4 | 2 | no | — |
| 499 | #430 | — | 8 | 2 | no | — |
| 500 | #430 | — | 8 | 2 | no | — |
| 501 | C2×#108 | — | 2 | 1 | no | — |
| 502 | C2×#108 | — | 2 | 1 | no | — |
| 503 | C2×#108 | — | 2 | 2 | no | — |
| 504 | C2×#108 | — | 4 | 4 | no | — |
| 505 | C2×#108 | — | 4 | 1 | no | — |
| 506 | C2×#108 | — | 8 | 2 | no | — |
| 507 | C2×#108 | #102 | 1 | 1 | yes | characteristic |
| 508 | C2×#108 | #102 | 1 | 1 | yes | characteristic |
| 509 | #427 | — | 2 | 1 | no | — |
| 510 | #427 | #102 | 1 | 1 | yes | characteristic |
| 511 | #423 | — | 4 | 1 | no | — |
| 512 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 513 | C2×C4⋊C8 | — | 16 | 1 | no | — |
| 514 | #421 | — | 4 | 2 | no | — |
| 515 | #421 | — | 4 | 2 | no | — |
| 516 | #421 | — | 4 | 2 | no | — |
| 517 | #421 | — | 4 | 2 | no | — |
| 518 | #421 | — | 8 | 4 | no | — |
| 519 | #421 | — | 8 | 4 | no | — |
| 520 | C2×#104 | — | 2 | 1 | no | — |
| 521 | C2×#104 | — | 2 | 1 | no | — |
| 522 | C2×#104 | — | 4 | 1 | no | — |
| 523 | C2×#104 | — | 4 | 1 | no | — |
| 524 | C2×#104 | — | 4 | 2 | no | — |
| 525 | C2×#104 | — | 4 | 2 | no | — |
| 526 | C2×#104 | — | 8 | 4 | no | — |
| 527 | C2×#104 | — | 8 | 4 | no | — |
| 528 | #416 | — | 2 | 1 | no | — |
| 529 | #416 | — | 4 | 1 | no | — |
| 530 | #413 | — | 4 | 2 | no | — |
| 531 | #410 | — | 4 | 2 | no | — |
| 532 | #408 | — | 4 | 2 | no | — |
| 533 | #405 | — | 2 | 1 | no | — |
| 534 | #405 | — | 2 | 1 | no | — |
| 535 | #405 | — | 4 | 1 | no | — |
| 536 | #405 | — | 4 | 1 | no | — |
| 537 | #405 | — | 4 | 1 | no | — |
| 538 | #405 | — | 4 | 1 | no | — |
| 539 | #405 | — | 8 | 1 | no | — |
| 540 | #405 | — | 8 | 1 | no | — |
| 541 | C4×M16 | — | 2 | 1 | no | — |
| 542 | C4×M16 | — | 4 | 1 | no | — |
| 543 | C4×M16 | — | 4 | 1 | no | — |
| 544 | C4×M16 | — | 8 | 1 | no | — |
| 545 | C2×C4×C8 | — | 4 | 1 | no | — |
| 546 | C2×C4×C8 | — | 8 | 1 | no | — |
| 547 | C2×C4×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 548 | C2×C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 549 | C2×C4×C8 | #120 | 1 | 1 | yes | characteristic |
| 550 | C2×C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 551 | C2×C4×C8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 552 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 553 | C43 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 554 | M64 | — | 4 | 2 | no | — |
| 555 | M64 | — | 4 | 2 | no | — |
| 556 | M64 | — | 4 | 2 | no | — |
| 557 | M64 | — | 8 | 1 | no | — |
| 558 | C2×C32 | — | 4 | 2 | no | — |
| 559 | C2×C32 | — | 8 | 1 | no | — |
| 560 | #368 | — | 2 | 1 | no | — |
| 561 | #368 | — | 2 | 1 | no | — |
| 562 | #368 | — | 4 | 4 | no | — |
| 563 | #368 | — | 4 | 1 | no | — |
| 564 | #368 | — | 4 | 1 | no | — |
| 565 | #368 | — | 4 | 2 | no | — |
| 566 | #368 | C22⋊C8 | 1 | 2 | yes | — |
| 567 | #368 | #102 | 1 | 2 | yes | — |
| 568 | #367 | — | 2 | 1 | no | — |
| 569 | #366 | — | 2 | 1 | no | — |
| 570 | #364 | — | 2 | 1 | no | — |
| 571 | #364 | — | 2 | 1 | no | — |
| 572 | #364 | — | 2 | 1 | no | — |
| 573 | #364 | — | 4 | 2 | no | — |
| 574 | #364 | — | 8 | 1 | no | — |
| 575 | #364 | C22⋊C8 | 1 | 2 | yes | — |
| 576 | #362 | — | 2 | 4 | no | — |
| 577 | #361 | — | 2 | 4 | no | — |
| 578 | #360 | — | 8 | 2 | no | — |
| 579 | #359 | — | 2 | 2 | no | — |
| 580 | #359 | — | 2 | 2 | no | — |
| 581 | #359 | — | 2 | 2 | no | — |
| 582 | #359 | — | 2 | 2 | no | — |
| 583 | #359 | — | 4 | 4 | no | — |
| 584 | #359 | — | 4 | 4 | no | — |
| 585 | #359 | — | 4 | 2 | no | — |
| 586 | #359 | — | 4 | 2 | no | — |
| 587 | #359 | — | 8 | 2 | no | — |
| 588 | #358 | — | 4 | 1 | no | — |
| 589 | #357 | — | 4 | 1 | no | — |
| 590 | #350 | — | 2 | 2 | no | — |
| 591 | #350 | — | 2 | 2 | no | — |
| 592 | #350 | — | 4 | 2 | no | — |
| 593 | #346 | — | 2 | 1 | no | — |
| 594 | #346 | — | 2 | 1 | no | — |
| 595 | #346 | — | 2 | 1 | no | — |
| 596 | #346 | — | 2 | 1 | no | — |
| 597 | #346 | — | 4 | 1 | no | — |
| 598 | #346 | — | 4 | 1 | no | — |
| 599 | #346 | — | 4 | 1 | no | — |
| 600 | #346 | — | 4 | 1 | no | — |
| 601 | #346 | — | 8 | 1 | no | — |
| 602 | #346 | C2×D8 | 1 | 1 | yes | characteristic |
| 603 | #346 | C2×SD16 | 1 | 1 | yes | characteristic |
| 604 | #346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 605 | #346 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 606 | C4×C16 | — | 2 | 1 | no | — |
| 607 | C4×C16 | — | 2 | 1 | no | — |
| 608 | C4×C16 | — | 4 | 1 | no | — |
| 609 | C4×C16 | — | 4 | 1 | no | — |
| 610 | C4×C16 | — | 4 | 1 | no | — |
| 611 | C4×C16 | — | 8 | 1 | no | — |
| 612 | C4×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 613 | C4×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 614 | C4×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 615 | C4×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 616 | #344 | — | 4 | 2 | no | — |
| 617 | #344 | — | 4 | 2 | no | — |
| 618 | #341 | — | 2 | 1 | no | — |
| 619 | #341 | — | 4 | 1 | no | — |
| 620 | #339 | — | 2 | 1 | no | — |
| 621 | #339 | — | 2 | 1 | no | — |
| 622 | #339 | — | 4 | 1 | no | — |
| 623 | #339 | — | 4 | 1 | no | — |
| 624 | #334 | — | 8 | 1 | no | — |
| 625 | #334 | — | 8 | 1 | no | — |
| 626 | #334 | — | 8 | 1 | no | — |
| 627 | #334 | — | 8 | 1 | no | — |
| 628 | 2−1+4 | — | 4 | 4 | no | — |
| 629 | 2−1+4 | — | 8 | 2 | no | — |
| 630 | 2−1+4 | — | 8 | 2 | no | — |
| 631 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 632 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 633 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 634 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 635 | C2×#41 | — | 2 | 1 | no | — |
| 636 | C2×#41 | — | 4 | 1 | no | — |
| 637 | C2×#41 | — | 4 | 2 | no | — |
| 638 | C2×#41 | — | 8 | 4 | no | — |
| 639 | C2×#41 | — | 8 | 4 | no | — |
| 640 | C2×#41 | — | 16 | 2 | no | — |
| 641 | #137 | — | 4 | 4 | no | — |
| 642 | #137 | — | 4 | 4 | no | — |
| 643 | #137 | — | 8 | 4 | no | — |
| 644 | #137 | — | 8 | 4 | no | — |
| 645 | #137 | — | 8 | 2 | no | — |
| 646 | #137 | — | 8 | 4 | no | — |
| 647 | #137 | — | 8 | 4 | no | — |
| 648 | #137 | — | 8 | 2 | no | — |
| 649 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 650 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 651 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 652 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 653 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 654 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 655 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 656 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 657 | #135 | — | 2 | 1 | no | — |
| 658 | #135 | — | 2 | 1 | no | — |
| 659 | #135 | — | 2 | 2 | no | — |
| 660 | #135 | — | 2 | 2 | no | — |
| 661 | #135 | — | 4 | 4 | no | — |
| 662 | #135 | — | 4 | 4 | no | — |
| 663 | #135 | — | 4 | 1 | no | — |
| 664 | #135 | — | 4 | 2 | no | — |
| 665 | #135 | — | 4 | 2 | no | — |
| 666 | #135 | — | 4 | 2 | no | — |
| 667 | #135 | — | 4 | 1 | no | — |
| 668 | #135 | — | 4 | 2 | no | — |
| 669 | #135 | — | 8 | 4 | no | — |
| 670 | #135 | — | 8 | 4 | no | — |
| 671 | #135 | — | 8 | 4 | no | — |
| 672 | #135 | — | 8 | 4 | no | — |
| 673 | #135 | — | 8 | 2 | no | — |
| 674 | #135 | — | 8 | 2 | no | — |
| 675 | #135 | — | 8 | 1 | no | — |
| 676 | #135 | — | 8 | 1 | no | — |
| 677 | #135 | — | 8 | 1 | no | — |
| 678 | #135 | — | 8 | 1 | no | — |
| 679 | #135 | D4⋊C8 | 1 | 2 | yes | — |
| 680 | #135 | #361 | 1 | 2 | yes | — |
| 681 | C2×Q16 | — | 2 | 2 | no | — |
| 682 | C2×Q16 | — | 2 | 1 | no | — |
| 683 | C2×Q16 | — | 4 | 4 | no | — |
| 684 | C2×Q16 | — | 4 | 1 | no | — |
| 685 | C2×Q16 | — | 8 | 2 | no | — |
| 686 | C2×Q16 | #360 | 1 | 1 | yes | characteristic |
| 687 | C2×SD16 | — | 2 | 1 | no | — |
| 688 | C2×SD16 | — | 4 | 1 | no | — |
| 689 | C2×SD16 | — | 4 | 2 | no | — |
| 690 | C2×SD16 | — | 4 | 2 | no | — |
| 691 | C2×SD16 | — | 8 | 4 | no | — |
| 692 | C2×SD16 | — | 8 | 4 | no | — |
| 693 | C2×D8 | — | 2 | 2 | no | — |
| 694 | C2×D8 | — | 2 | 1 | no | — |
| 695 | C2×D8 | — | 4 | 4 | no | — |
| 696 | C2×D8 | — | 4 | 1 | no | — |
| 697 | C2×D8 | — | 8 | 2 | no | — |
| 698 | C2×D8 | #360 | 1 | 1 | yes | characteristic |
| 699 | #131 | — | 2 | 4 | no | — |
| 700 | #131 | — | 2 | 2 | no | — |
| 701 | #131 | — | 2 | 2 | no | — |
| 702 | #131 | — | 4 | 2 | no | — |
| 703 | #131 | — | 4 | 1 | no | — |
| 704 | #131 | — | 4 | 1 | no | — |
| 705 | #131 | — | 4 | 2 | no | — |
| 706 | #131 | — | 4 | 2 | no | — |
| 707 | #131 | — | 4 | 2 | no | — |
| 708 | #131 | — | 4 | 2 | no | — |
| 709 | #131 | — | 8 | 1 | no | — |
| 710 | #131 | — | 8 | 1 | no | — |
| 711 | #131 | — | 8 | 2 | no | — |
| 712 | #131 | — | 8 | 2 | no | — |
| 713 | #131 | — | 8 | 4 | no | — |
| 714 | #131 | — | 8 | 4 | no | — |
| 715 | #131 | — | 8 | 1 | no | — |
| 716 | #131 | — | 8 | 1 | no | — |
| 717 | #131 | — | 8 | 4 | no | — |
| 718 | #131 | — | 8 | 4 | no | — |
| 719 | #131 | — | 8 | 2 | no | — |
| 720 | #131 | — | 8 | 2 | no | — |
| 721 | #131 | — | 16 | 4 | no | — |
| 722 | #131 | — | 16 | 4 | no | — |
| 723 | #131 | — | 16 | 2 | no | — |
| 724 | #131 | — | 16 | 4 | no | — |
| 725 | #131 | — | 16 | 2 | no | — |
| 726 | #131 | — | 16 | 4 | no | — |
| 727 | C2×M16 | — | 2 | 1 | no | — |
| 728 | C2×M16 | — | 2 | 1 | no | — |
| 729 | C2×M16 | — | 4 | 1 | no | — |
| 730 | C2×M16 | — | 4 | 1 | no | — |
| 731 | C2×M16 | — | 4 | 1 | no | — |
| 732 | C2×M16 | — | 4 | 1 | no | — |
| 733 | C2×M16 | — | 4 | 2 | no | — |
| 734 | C2×M16 | — | 8 | 1 | no | — |
| 735 | C2×M16 | — | 8 | 2 | no | — |
| 736 | C2×M16 | — | 8 | 1 | no | — |
| 737 | C2×M16 | — | 8 | 4 | no | — |
| 738 | C2×M16 | — | 8 | 4 | no | — |
| 739 | C2×M16 | — | 16 | 4 | no | — |
| 740 | C2×M16 | — | 16 | 4 | no | — |
| 741 | C2×M16 | — | 16 | 2 | no | — |
| 742 | C2×M16 | — | 16 | 4 | no | — |
| 743 | C22×C8 | — | 4 | 1 | no | — |
| 744 | C22×C8 | — | 4 | 1 | no | — |
| 745 | C22×C8 | — | 8 | 1 | no | — |
| 746 | C22×C8 | — | 8 | 2 | no | — |
| 747 | C22×C8 | — | 8 | 1 | no | — |
| 748 | C22×C8 | — | 16 | 4 | no | — |
| 749 | C22×C8 | — | 16 | 1 | no | — |
| 750 | C22×C8 | #379 | 1 | 1 | yes | characteristic |
| 751 | C22×C8 | C2×#102 | 1 | 1 | yes | characteristic |
| 752 | C22×C8 | #447 | 1 | 1 | yes | characteristic |
| 753 | C22×C8 | #450 | 1 | 1 | yes | characteristic |
| 754 | C4⋊Q8 | — | 4 | 1 | no | — |
| 755 | #127 | — | 4 | 1 | no | — |
| 756 | #124 | — | 4 | 2 | no | — |
| 757 | #121 | — | 16 | 1 | no | — |
| 758 | C4×Q8 | — | 4 | 1 | no | — |
| 759 | C4×Q8 | — | 8 | 1 | no | — |
| 760 | C4×D4 | — | 4 | 1 | no | — |
| 761 | C4×D4 | — | 8 | 1 | no | — |
| 762 | C4×D4 | — | 8 | 1 | no | — |
| 763 | C4×D4 | — | 16 | 1 | no | — |
| 764 | C4×D4 | — | 16 | 1 | no | — |
| 765 | #117 | — | 2 | 1 | no | — |
| 766 | #117 | — | 4 | 1 | no | — |
| 767 | #117 | — | 4 | 1 | no | — |
| 768 | #117 | — | 8 | 1 | no | — |
| 769 | C2×C42 | — | 4 | 1 | no | — |
| 770 | C2×C42 | — | 4 | 1 | no | — |
| 771 | C2×C42 | — | 8 | 1 | no | — |
| 772 | C2×C42 | #418 | 1 | 1 | yes | characteristic |
| 773 | C2×C42 | #447 | 1 | 1 | yes | characteristic |
| 774 | C2×C42 | #450 | 1 | 1 | yes | characteristic |
| 775 | Q32 | — | 2 | 1 | no | — |
| 776 | Q32 | — | 4 | 2 | no | — |
| 777 | Q32 | — | 4 | 4 | no | — |
| 778 | Q32 | — | 4 | 1 | no | — |
| 779 | Q32 | — | 4 | 1 | no | — |
| 780 | Q32 | D4⋊C8 | 1 | 2 | yes | — |
| 781 | SD32 | — | 2 | 2 | no | — |
| 782 | SD32 | — | 2 | 2 | no | — |
| 783 | SD32 | — | 4 | 4 | no | — |
| 784 | SD32 | — | 4 | 4 | no | — |
| 785 | SD32 | — | 4 | 2 | no | — |
| 786 | SD32 | — | 4 | 2 | no | — |
| 787 | SD32 | — | 8 | 2 | no | — |
| 788 | D16 | — | 2 | 1 | no | — |
| 789 | D16 | — | 4 | 2 | no | — |
| 790 | D16 | — | 4 | 4 | no | — |
| 791 | D16 | — | 4 | 1 | no | — |
| 792 | D16 | — | 4 | 1 | no | — |
| 793 | D16 | D4⋊C8 | 1 | 2 | yes | — |
| 794 | M32 | — | 2 | 2 | no | — |
| 795 | M32 | — | 4 | 1 | no | — |
| 796 | M32 | — | 4 | 2 | no | — |
| 797 | M32 | — | 4 | 2 | no | — |
| 798 | M32 | — | 4 | 1 | no | — |
| 799 | M32 | — | 4 | 1 | no | — |
| 800 | M32 | — | 8 | 2 | no | — |
| 801 | M32 | — | 8 | 2 | no | — |
| 802 | M32 | — | 16 | 1 | no | — |
| 803 | C2×C16 | — | 2 | 1 | no | — |
| 804 | C2×C16 | — | 2 | 1 | no | — |
| 805 | C2×C16 | — | 2 | 1 | no | — |
| 806 | C2×C16 | — | 2 | 1 | no | — |
| 807 | C2×C16 | — | 2 | 1 | no | — |
| 808 | C2×C16 | — | 2 | 1 | no | — |
| 809 | C2×C16 | — | 2 | 1 | no | — |
| 810 | C2×C16 | — | 4 | 1 | no | — |
| 811 | C2×C16 | — | 4 | 2 | no | — |
| 812 | C2×C16 | — | 4 | 2 | no | — |
| 813 | C2×C16 | — | 4 | 1 | no | — |
| 814 | C2×C16 | — | 8 | 2 | no | — |
| 815 | C2×C16 | — | 16 | 1 | no | — |
| 816 | C2×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 817 | C2×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 818 | C2×C16 | #407 | 1 | 1 | yes | characteristic |
| 819 | C2×C16 | #407 | 1 | 1 | yes | characteristic |
| 820 | C2×C16 | C2×#102 | 1 | 1 | yes | characteristic |
| 821 | C2×C16 | #418 | 1 | 1 | yes | characteristic |
| 822 | C2×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 823 | C2×C16 | #421 | 1 | 1 | yes | characteristic |
| 824 | C2×C16 | #447 | 1 | 1 | yes | characteristic |
| 825 | C2×C16 | #450 | 1 | 1 | yes | characteristic |
| 826 | #108 | — | 2 | 1 | no | — |
| 827 | #108 | — | 2 | 1 | no | — |
| 828 | #108 | — | 2 | 2 | no | — |
| 829 | #108 | — | 2 | 2 | no | — |
| 830 | #108 | — | 4 | 1 | no | — |
| 831 | #108 | — | 4 | 2 | no | — |
| 832 | #108 | — | 4 | 2 | no | — |
| 833 | #108 | — | 4 | 1 | no | — |
| 834 | #108 | — | 8 | 4 | no | — |
| 835 | #108 | — | 8 | 4 | no | — |
| 836 | #108 | — | 8 | 1 | no | — |
| 837 | #108 | — | 8 | 1 | no | — |
| 838 | #108 | D4⋊C8 | 1 | 2 | yes | — |
| 839 | #108 | #361 | 1 | 2 | yes | — |
| 840 | #107 | — | 2 | 1 | no | — |
| 841 | #107 | — | 4 | 1 | no | — |
| 842 | #106 | — | 2 | 1 | no | — |
| 843 | #106 | — | 4 | 1 | no | — |
| 844 | C4⋊C8 | — | 16 | 1 | no | — |
| 845 | C4⋊C8 | — | 16 | 1 | no | — |
| 846 | C4⋊C8 | — | 16 | 1 | no | — |
| 847 | C4⋊C8 | — | 32 | 2 | no | — |
| 848 | #104 | — | 2 | 4 | no | — |
| 849 | #104 | — | 2 | 2 | no | — |
| 850 | #104 | — | 2 | 2 | no | — |
| 851 | #104 | — | 4 | 2 | no | — |
| 852 | #104 | — | 4 | 2 | no | — |
| 853 | #104 | — | 4 | 2 | no | — |
| 854 | #104 | — | 4 | 2 | no | — |
| 855 | #104 | — | 8 | 2 | no | — |
| 856 | #104 | — | 8 | 2 | no | — |
| 857 | #104 | — | 8 | 4 | no | — |
| 858 | #104 | — | 8 | 4 | no | — |
| 859 | #104 | — | 8 | 4 | no | — |
| 860 | #104 | — | 8 | 4 | no | — |
| 861 | #104 | — | 8 | 2 | no | — |
| 862 | #104 | — | 8 | 2 | no | — |
| 863 | #103 | — | 4 | 1 | no | — |
| 864 | #103 | — | 8 | 1 | no | — |
| 865 | #102 | — | 4 | 1 | no | — |
| 866 | #102 | — | 8 | 1 | no | — |
| 867 | #101 | — | 4 | 4 | no | — |
| 868 | #100 | — | 4 | 4 | no | — |
| 869 | #99 | — | 16 | 2 | no | — |
| 870 | C22⋊C8 | — | 16 | 2 | no | — |
| 871 | #97 | — | 4 | 1 | no | — |
| 872 | #97 | — | 4 | 1 | no | — |
| 873 | #97 | — | 4 | 1 | no | — |
| 874 | #97 | — | 8 | 1 | no | — |
| 875 | #97 | — | 8 | 1 | no | — |
| 876 | #97 | — | 8 | 1 | no | — |
| 877 | C4×C8 | — | 2 | 1 | no | — |
| 878 | C4×C8 | — | 2 | 1 | no | — |
| 879 | C4×C8 | — | 2 | 1 | no | — |
| 880 | C4×C8 | — | 2 | 1 | no | — |
| 881 | C4×C8 | — | 2 | 1 | no | — |
| 882 | C4×C8 | — | 2 | 1 | no | — |
| 883 | C4×C8 | — | 4 | 1 | no | — |
| 884 | C4×C8 | — | 4 | 1 | no | — |
| 885 | C4×C8 | — | 4 | 1 | no | — |
| 886 | C4×C8 | — | 4 | 1 | no | — |
| 887 | C4×C8 | — | 8 | 1 | no | — |
| 888 | C4×C8 | — | 8 | 1 | no | — |
| 889 | C4×C8 | — | 8 | 1 | no | — |
| 890 | C4×C8 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 891 | C4×C8 | #407 | 1 | 1 | yes | characteristic |
| 892 | C4×C8 | C2×#104 | 1 | 1 | yes | characteristic |
| 893 | C4×C8 | #421 | 1 | 1 | yes | characteristic |
| 894 | C4×C8 | #447 | 1 | 1 | yes | characteristic |
| 895 | C4×C8 | #450 | 1 | 1 | yes | characteristic |
| 896 | C4×C8 | #453 | 1 | 1 | yes | characteristic |
| 897 | C4×C8 | #455 | 1 | 1 | yes | characteristic |
| 898 | C32 | — | 4 | 4 | no | — |
| 899 | C32 | — | 8 | 2 | no | — |
| 900 | #41 | — | 2 | 2 | no | — |
| 901 | #41 | — | 2 | 2 | no | — |
| 902 | #41 | — | 4 | 1 | no | — |
| 903 | #41 | — | 4 | 1 | no | — |
| 904 | #41 | — | 4 | 2 | no | — |
| 905 | #41 | — | 4 | 2 | no | — |
| 906 | #41 | — | 8 | 4 | no | — |
| 907 | #41 | — | 8 | 4 | no | — |
| 908 | #41 | — | 8 | 1 | no | — |
| 909 | #41 | — | 8 | 1 | no | — |
| 910 | #41 | — | 8 | 4 | no | — |
| 911 | #41 | — | 8 | 4 | no | — |
| 912 | #41 | — | 8 | 2 | no | — |
| 913 | #41 | — | 8 | 2 | no | — |
| 914 | #41 | — | 8 | 2 | no | — |
| 915 | #41 | — | 8 | 2 | no | — |
| 916 | #41 | — | 16 | 4 | no | — |
| 917 | #41 | — | 16 | 4 | no | — |
| 918 | #41 | — | 16 | 4 | no | — |
| 919 | #41 | — | 16 | 4 | no | — |
| 920 | #41 | — | 16 | 2 | no | — |
| 921 | #41 | — | 16 | 2 | no | — |
| 922 | C2×Q8 | — | 2 | 1 | no | — |
| 923 | C2×Q8 | — | 4 | 2 | no | — |
| 924 | C2×Q8 | — | 4 | 1 | no | — |
| 925 | C2×Q8 | — | 8 | 4 | no | — |
| 926 | C2×Q8 | — | 8 | 4 | no | — |
| 927 | C2×Q8 | — | 16 | 2 | no | — |
| 928 | C2×D4 | — | 2 | 1 | no | — |
| 929 | C2×D4 | — | 4 | 1 | no | — |
| 930 | C2×D4 | — | 4 | 2 | no | — |
| 931 | C2×D4 | — | 4 | 1 | no | — |
| 932 | C2×D4 | — | 8 | 4 | no | — |
| 933 | C2×D4 | — | 8 | 4 | no | — |
| 934 | C2×D4 | — | 8 | 1 | no | — |
| 935 | C2×D4 | — | 8 | 2 | no | — |
| 936 | C2×D4 | — | 16 | 1 | no | — |
| 937 | C2×D4 | — | 16 | 4 | no | — |
| 938 | C2×D4 | — | 16 | 2 | no | — |
| 939 | C2×D4 | — | 16 | 4 | no | — |
| 940 | C2×D4 | — | 16 | 4 | no | — |
| 941 | C22×C4 | — | 2 | 1 | no | — |
| 942 | C22×C4 | — | 2 | 1 | no | — |
| 943 | C22×C4 | — | 2 | 1 | no | — |
| 944 | C22×C4 | — | 4 | 1 | no | — |
| 945 | C22×C4 | — | 8 | 1 | no | — |
| 946 | C22×C4 | — | 8 | 1 | no | — |
| 947 | C22×C4 | — | 8 | 2 | no | — |
| 948 | C22×C4 | — | 16 | 4 | no | — |
| 949 | C22×C4 | — | 16 | 1 | no | — |
| 950 | C22×C4 | #1786 | 1 | 1 | yes | characteristic |
| 951 | Q16 | — | 2 | 2 | no | — |
| 952 | Q16 | — | 2 | 1 | no | — |
| 953 | Q16 | — | 4 | 2 | no | — |
| 954 | Q16 | — | 4 | 2 | no | — |
| 955 | Q16 | — | 4 | 1 | no | — |
| 956 | Q16 | — | 8 | 4 | no | — |
| 957 | Q16 | — | 8 | 4 | no | — |
| 958 | Q16 | — | 8 | 1 | no | — |
| 959 | Q16 | — | 8 | 1 | no | — |
| 960 | Q16 | #1333 | 1 | 2 | yes | — |
| 961 | SD16 | — | 2 | 2 | no | — |
| 962 | SD16 | — | 2 | 2 | no | — |
| 963 | SD16 | — | 4 | 2 | no | — |
| 964 | SD16 | — | 4 | 2 | no | — |
| 965 | SD16 | — | 8 | 4 | no | — |
| 966 | SD16 | — | 8 | 4 | no | — |
| 967 | SD16 | — | 8 | 4 | no | — |
| 968 | SD16 | — | 8 | 4 | no | — |
| 969 | SD16 | — | 8 | 2 | no | — |
| 970 | SD16 | — | 8 | 2 | no | — |
| 971 | SD16 | — | 8 | 2 | no | — |
| 972 | SD16 | — | 8 | 2 | no | — |
| 973 | D8 | — | 2 | 2 | no | — |
| 974 | D8 | — | 2 | 1 | no | — |
| 975 | D8 | — | 4 | 2 | no | — |
| 976 | D8 | — | 4 | 2 | no | — |
| 977 | D8 | — | 4 | 1 | no | — |
| 978 | D8 | — | 8 | 4 | no | — |
| 979 | D8 | — | 8 | 4 | no | — |
| 980 | D8 | — | 8 | 1 | no | — |
| 981 | D8 | — | 8 | 1 | no | — |
| 982 | D8 | #1333 | 1 | 2 | yes | — |
| 983 | M16 | — | 2 | 2 | no | — |
| 984 | M16 | — | 2 | 2 | no | — |
| 985 | M16 | — | 4 | 4 | no | — |
| 986 | M16 | — | 4 | 1 | no | — |
| 987 | M16 | — | 4 | 1 | no | — |
| 988 | M16 | — | 4 | 2 | no | — |
| 989 | M16 | — | 4 | 2 | no | — |
| 990 | M16 | — | 4 | 2 | no | — |
| 991 | M16 | — | 4 | 2 | no | — |
| 992 | M16 | — | 8 | 2 | no | — |
| 993 | M16 | — | 8 | 2 | no | — |
| 994 | M16 | — | 8 | 1 | no | — |
| 995 | M16 | — | 8 | 1 | no | — |
| 996 | M16 | — | 8 | 2 | no | — |
| 997 | M16 | — | 8 | 2 | no | — |
| 998 | M16 | — | 8 | 2 | no | — |
| 999 | M16 | — | 8 | 2 | no | — |
| 1000 | M16 | — | 16 | 2 | no | — |
| 1001 | M16 | — | 16 | 2 | no | — |
| 1002 | M16 | — | 16 | 4 | no | — |
| 1003 | M16 | — | 16 | 4 | no | — |
| 1004 | M16 | — | 16 | 4 | no | — |
| 1005 | C2×C8 | — | 2 | 1 | no | — |
| 1006 | C2×C8 | — | 2 | 1 | no | — |
| 1007 | C2×C8 | — | 2 | 1 | no | — |
| 1008 | C2×C8 | — | 2 | 1 | no | — |
| 1009 | C2×C8 | — | 2 | 1 | no | — |
| 1010 | C2×C8 | — | 4 | 4 | no | — |
| 1011 | C2×C8 | — | 4 | 1 | no | — |
| 1012 | C2×C8 | — | 4 | 1 | no | — |
| 1013 | C2×C8 | — | 4 | 2 | no | — |
| 1014 | C2×C8 | — | 4 | 2 | no | — |
| 1015 | C2×C8 | — | 8 | 2 | no | — |
| 1016 | C2×C8 | — | 8 | 2 | no | — |
| 1017 | C2×C8 | — | 8 | 1 | no | — |
| 1018 | C2×C8 | — | 8 | 1 | no | — |
| 1019 | C2×C8 | — | 8 | 2 | no | — |
| 1020 | C2×C8 | — | 8 | 2 | no | — |
| 1021 | C2×C8 | — | 8 | 2 | no | — |
| 1022 | C2×C8 | — | 16 | 2 | no | — |
| 1023 | C2×C8 | — | 16 | 2 | no | — |
| 1024 | C2×C8 | — | 16 | 4 | no | — |
| 1025 | C2×C8 | — | 16 | 4 | no | — |
| 1026 | C2×C8 | — | 16 | 4 | no | — |
| 1027 | C2×C8 | — | 32 | 1 | no | — |
| 1028 | C2×C8 | — | 32 | 2 | no | — |
| 1029 | C2×C8 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1030 | C2×C8 | #1486 | 1 | 1 | yes | characteristic |
| 1031 | C2×C8 | #1629 | 1 | 1 | yes | characteristic |
| 1032 | C2×C8 | #1639 | 1 | 1 | yes | characteristic |
| 1033 | C2×C8 | #1779 | 1 | 1 | yes | characteristic |
| 1034 | C2×C8 | #1786 | 1 | 1 | yes | characteristic |
| 1035 | C2×C8 | #1789 | 1 | 1 | yes | characteristic |
| 1036 | C2×C8 | #1789 | 1 | 1 | yes | characteristic |
| 1037 | C2×C8 | #1792 | 1 | 1 | yes | characteristic |
| 1038 | C2×C8 | #1794 | 1 | 1 | yes | characteristic |
| 1039 | C2×C8 | C2×#360 | 1 | 1 | yes | characteristic |
| 1040 | C2×C8 | #2145 | 1 | 1 | yes | characteristic |
| 1041 | C2×C8 | C2×#361 | 1 | 1 | yes | characteristic |
| 1042 | C2×C8 | C2×#361 | 1 | 1 | yes | characteristic |
| 1043 | C4⋊C4 | — | 4 | 1 | no | — |
| 1044 | C4⋊C4 | — | 8 | 1 | no | — |
| 1045 | C4⋊C4 | — | 8 | 1 | no | — |
| 1046 | C4⋊C4 | — | 16 | 1 | no | — |
| 1047 | C4⋊C4 | — | 16 | 1 | no | — |
| 1048 | C22⋊C4 | — | 4 | 1 | no | — |
| 1049 | C22⋊C4 | — | 8 | 1 | no | — |
| 1050 | C22⋊C4 | — | 8 | 1 | no | — |
| 1051 | C22⋊C4 | — | 16 | 2 | no | — |
| 1052 | C22⋊C4 | — | 16 | 1 | no | — |
| 1053 | C42 | — | 2 | 1 | no | — |
| 1054 | C42 | — | 2 | 1 | no | — |
| 1055 | C42 | — | 2 | 1 | no | — |
| 1056 | C42 | — | 2 | 1 | no | — |
| 1057 | C42 | — | 4 | 1 | no | — |
| 1058 | C42 | — | 8 | 1 | no | — |
| 1059 | C42 | — | 8 | 2 | no | — |
| 1060 | C42 | — | 8 | 1 | no | — |
| 1061 | C42 | — | 16 | 1 | no | — |
| 1062 | C42 | #1478 | 1 | 1 | yes | characteristic |
| 1063 | C42 | #1490 | 1 | 1 | yes | characteristic |
| 1064 | C42 | #1619 | 1 | 1 | yes | characteristic |
| 1065 | C42 | #1639 | 1 | 1 | yes | characteristic |
| 1066 | C16 | — | 2 | 1 | no | — |
| 1067 | C16 | — | 2 | 1 | no | — |
| 1068 | C16 | — | 2 | 1 | no | — |
| 1069 | C16 | — | 2 | 1 | no | — |
| 1070 | C16 | — | 4 | 2 | no | — |
| 1071 | C16 | — | 4 | 1 | no | — |
| 1072 | C16 | — | 8 | 1 | no | — |
| 1073 | C16 | — | 16 | 2 | no | — |
| 1074 | C16 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 1075 | C16 | #1478 | 1 | 1 | yes | characteristic |
| 1076 | C16 | #1486 | 1 | 1 | yes | characteristic |
| 1077 | C16 | #1490 | 1 | 1 | yes | characteristic |
| 1078 | C23 | — | 4 | 1 | no | — |
| 1079 | C23 | — | 8 | 1 | no | — |
| 1080 | C23 | — | 8 | 2 | no | — |
| 1081 | C23 | — | 16 | 4 | no | — |
| 1082 | C23 | #12752 | 1 | 1 | yes | characteristic |
| 1083 | Q8 | — | 2 | 2 | no | — |
| 1084 | Q8 | — | 4 | 1 | no | — |
| 1085 | Q8 | — | 4 | 2 | no | — |
| 1086 | Q8 | — | 8 | 1 | no | — |
| 1087 | Q8 | — | 8 | 2 | no | — |
| 1088 | Q8 | — | 8 | 2 | no | — |
| 1089 | Q8 | — | 16 | 4 | no | — |
| 1090 | D4 | — | 2 | 2 | no | — |
| 1091 | D4 | — | 4 | 2 | no | — |
| 1092 | D4 | — | 4 | 2 | no | — |
| 1093 | D4 | — | 4 | 2 | no | — |
| 1094 | D4 | — | 4 | 1 | no | — |
| 1095 | D4 | — | 8 | 2 | no | — |
| 1096 | D4 | — | 8 | 2 | no | — |
| 1097 | D4 | — | 8 | 2 | no | — |
| 1098 | D4 | — | 8 | 2 | no | — |
| 1099 | D4 | — | 8 | 1 | no | — |
| 1100 | D4 | — | 16 | 4 | no | — |
| 1101 | D4 | — | 16 | 4 | no | — |
| 1102 | D4 | — | 16 | 4 | no | — |
| 1103 | D4 | — | 16 | 2 | no | — |
| 1104 | D4 | — | 16 | 2 | no | — |
| 1105 | D4 | — | 32 | 2 | no | — |
| 1106 | C2×C4 | — | 2 | 1 | no | — |
| 1107 | C2×C4 | — | 2 | 1 | no | — |
| 1108 | C2×C4 | — | 2 | 1 | no | — |
| 1109 | C2×C4 | — | 2 | 1 | no | — |
| 1110 | C2×C4 | — | 4 | 2 | no | — |
| 1111 | C2×C4 | — | 4 | 1 | no | — |
| 1112 | C2×C4 | — | 4 | 2 | no | — |
| 1113 | C2×C4 | — | 4 | 2 | no | — |
| 1114 | C2×C4 | — | 4 | 1 | no | — |
| 1115 | C2×C4 | — | 8 | 1 | no | — |
| 1116 | C2×C4 | — | 8 | 1 | no | — |
| 1117 | C2×C4 | — | 8 | 2 | no | — |
| 1118 | C2×C4 | — | 8 | 2 | no | — |
| 1119 | C2×C4 | — | 8 | 1 | no | — |
| 1120 | C2×C4 | — | 8 | 1 | no | — |
| 1121 | C2×C4 | — | 8 | 2 | no | — |
| 1122 | C2×C4 | — | 16 | 4 | no | — |
| 1123 | C2×C4 | — | 16 | 4 | no | — |
| 1124 | C2×C4 | — | 16 | 4 | no | — |
| 1125 | C2×C4 | — | 16 | 2 | no | — |
| 1126 | C2×C4 | — | 16 | 2 | no | — |
| 1127 | C2×C4 | — | 16 | 1 | no | — |
| 1128 | C2×C4 | — | 32 | 1 | no | — |
| 1129 | C2×C4 | — | 32 | 2 | no | — |
| 1130 | C2×C4 | #8310 | 1 | 1 | yes | characteristic |
| 1131 | C2×C4 | #8436 | 1 | 1 | yes | characteristic |
| 1132 | C2×C4 | #8443 | 1 | 1 | yes | characteristic |
| 1133 | C2×C4 | #12735 | 1 | 1 | yes | characteristic |
| 1134 | C2×C4 | #12736 | 1 | 1 | yes | characteristic |
| 1135 | C2×C4 | #12750 | 1 | 1 | yes | characteristic |
| 1136 | C8 | — | 2 | 1 | no | — |
| 1137 | C8 | — | 2 | 1 | no | — |
| 1138 | C8 | — | 4 | 2 | no | — |
| 1139 | C8 | — | 4 | 2 | no | — |
| 1140 | C8 | — | 4 | 1 | no | — |
| 1141 | C8 | — | 8 | 2 | no | — |
| 1142 | C8 | — | 8 | 2 | no | — |
| 1143 | C8 | — | 16 | 2 | no | — |
| 1144 | C8 | — | 64 | 1 | no | — |
| 1145 | C8 | #8310 | 1 | 1 | yes | characteristic |
| 1146 | C8 | #8318 | 1 | 1 | yes | characteristic |
| 1147 | C8 | #8436 | 1 | 1 | yes | characteristic |
| 1148 | C8 | #8440 | 1 | 1 | yes | characteristic |
| 1149 | C8 | C2×#1333 | 1 | 1 | yes | characteristic |
| 1150 | C8 | #11599 | 1 | 1 | yes | characteristic |
| 1151 | C8 | #11663 | 1 | 1 | yes | characteristic |
| 1152 | C8 | #11667 | 1 | 1 | yes | characteristic |
| 1153 | C22 | — | 4 | 1 | no | — |
| 1154 | C22 | — | 4 | 2 | no | — |
| 1155 | C22 | — | 8 | 2 | no | — |
| 1156 | C22 | — | 16 | 1 | no | — |
| 1157 | C22 | — | 16 | 2 | no | — |
| 1158 | C22 | — | 32 | 1 | no | — |
| 1159 | C22 | — | 32 | 2 | no | — |
| 1160 | C22 | — | 64 | 4 | no | — |
| 1161 | C22 | #129522 | 1 | 1 | yes | characteristic |
| 1162 | C22 | #131816 | 1 | 1 | yes | characteristic |
| 1163 | C22 | #131865 | 1 | 1 | yes | characteristic |
| 1164 | C4 | — | 2 | 2 | no | — |
| 1165 | C4 | — | 4 | 1 | no | — |
| 1166 | C4 | — | 4 | 1 | no | — |
| 1167 | C4 | — | 4 | 1 | no | — |
| 1168 | C4 | — | 4 | 2 | no | — |
| 1169 | C4 | — | 8 | 1 | no | — |
| 1170 | C4 | — | 8 | 2 | no | — |
| 1171 | C4 | — | 16 | 1 | no | — |
| 1172 | C4 | — | 16 | 2 | no | — |
| 1173 | C4 | — | 32 | 1 | no | — |
| 1174 | C4 | #97658 | 1 | 1 | yes | characteristic |
| 1175 | C4 | #129503 | 1 | 1 | yes | characteristic |
| 1176 | C4 | #131812 | 1 | 1 | yes | characteristic |
| 1177 | C4 | #131866 | 1 | 1 | yes | characteristic |
| 1178 | C2 | — | 2 | 1 | no | — |
| 1179 | C2 | — | 2 | 1 | no | — |
| 1180 | C2 | — | 2 | 1 | no | — |
| 1181 | C2 | — | 8 | 2 | no | — |
| 1182 | C2 | — | 16 | 2 | no | — |
| 1183 | C2 | — | 32 | 2 | no | — |
| 1184 | C2 | #72225229 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72225229 |
| commutator | C4×C16 | C22×C8 |
| Frattini, cosocle | C4×#346 | C23 |
| prime radical | #7623661 | C4 |
| LCS | G ▷ C4×C16 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C42×C8 ◁ #493217 ◁ G | |
| LECS | G ▷ C4×#346 ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72225516 | C2 | semidirect |
| 3. #72225354 | C2 | semidirect |
| 4. #72225158 | C2 | semidirect |
| 5. #72223683 | C2 | semidirect |
| 6. #72216393 | C2 | semidirect |
| 7. #72216279 | C2 | semidirect |
| 25. #151981 | C22 | semidirect |
| 26. C4×#1398 | C22 | semidirect |
| 31. #135715 | C22 | semidirect |
| 33. #129090 | C22 | semidirect |
| 43. #33860 | C8 | semidirect |
| 45. #33858 | C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72225516 | 2 |
| #72225388 | 2 |
| #72225354 | 2 |
| #72225158 | 2 |
| #72223683 | 2 |
| #72216393 | 2 |
| #72216279 | 2 |