Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
3443 conjugacy classes of subgroups.
The subgroup lattice has 1056 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#33468 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #6373791 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #6372119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #499477 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #499476 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #499475 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #499474 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #499424 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #499364 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #499306 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #499185 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #499073 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #498869 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #493109 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#12650 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | C2×#3414 | C22 | 1 | 2 | yes | — |
| 17 | #60643 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#2955 | — | 2 | 1 | no | — |
| 19 | C22×#444 | C22 | 1 | 2 | yes | — |
| 20 | C2×#2943 | C22 | 1 | 1 | yes | characteristic |
| 21 | #60140 | — | 2 | 1 | no | — |
| 22 | #34060 | — | 2 | 1 | no | — |
| 23 | #33468 | — | 2 | 16 | no | — |
| 24 | C2×AGL(1,ℤ/16) | C22 | 1 | 4 | yes | complemented |
| 25 | C2×AGL(1,ℤ/16) | C22 | 1 | 4 | yes | complemented |
| 26 | C2×#2180 | C22 | 1 | 4 | yes | complemented |
| 27 | C2×#2180 | C22 | 1 | 4 | yes | complemented |
| 28 | C2×#2155 | C22 | 1 | 2 | yes | — |
| 29 | C2×#2153 | C22 | 1 | 2 | yes | — |
| 30 | C2×#2148 | C22 | 1 | 2 | yes | — |
| 31 | C2×#2145 | C22 | 1 | 2 | yes | — |
| 32 | C22×#360 | C22 | 1 | 2 | yes | — |
| 33 | C2×#2139 | C22 | 1 | 2 | yes | — |
| 34 | C22×#347 | C22 | 1 | 2 | yes | — |
| 35 | #21710 | C22 | 1 | 4 | yes | — |
| 36 | #21709 | C22 | 1 | 4 | yes | — |
| 37 | #21707 | — | 2 | 2 | no | — |
| 38 | #21706 | — | 2 | 2 | no | — |
| 39 | #21291 | — | 2 | 2 | no | — |
| 40 | #21290 | C22 | 1 | 2 | yes | complemented |
| 41 | #21289 | C22 | 1 | 2 | yes | complemented |
| 42 | #21288 | — | 2 | 2 | no | — |
| 43 | #21287 | C22 | 1 | 2 | yes | complemented |
| 44 | #21286 | C22 | 1 | 2 | yes | complemented |
| 45 | #21241 | — | 2 | 1 | no | — |
| 46 | #21240 | C22 | 1 | 2 | yes | — |
| 47 | #21230 | C22 | 1 | 1 | yes | characteristic |
| 48 | #21229 | C22 | 1 | 1 | yes | characteristic |
| 49 | #21210 | — | 2 | 1 | no | — |
| 50 | #21156 | C22 | 1 | 1 | yes | characteristic |
| 51 | #21155 | C22 | 1 | 1 | yes | characteristic |
| 52 | #21087 | — | 2 | 1 | no | — |
| 53 | #21087 | — | 2 | 1 | no | — |
| 54 | #20807 | C22 | 1 | 1 | yes | characteristic |
| 55 | C2×#1776 | C22 | 1 | 1 | yes | characteristic |
| 56 | C4×#417 | — | 2 | 1 | no | — |
| 57 | #20331 | C22 | 1 | 1 | yes | characteristic |
| 58 | #13510 | C22 | 1 | 4 | yes | complemented |
| 59 | #13510 | C22 | 1 | 4 | yes | complemented |
| 60 | #13488 | C22 | 1 | 4 | yes | complemented |
| 61 | #13487 | C22 | 1 | 4 | yes | complemented |
| 62 | #13467 | C22 | 1 | 8 | yes | complemented |
| 63 | #13467 | C22 | 1 | 8 | yes | complemented |
| 64 | #13446 | C22 | 1 | 8 | yes | complemented |
| 65 | #13445 | C22 | 1 | 8 | yes | complemented |
| 66 | #13410 | C22 | 1 | 4 | yes | — |
| 67 | #13410 | C22 | 1 | 4 | yes | — |
| 68 | #13342 | C22 | 1 | 4 | yes | — |
| 69 | #13341 | C22 | 1 | 4 | yes | — |
| 70 | #12660 | C22 | 1 | 4 | yes | complemented |
| 71 | #12659 | C22 | 1 | 4 | yes | complemented |
| 72 | #12650 | C22 | 1 | 8 | yes | complemented |
| 73 | #12650 | C22 | 1 | 8 | yes | complemented |
| 74 | C2×#1387 | C22 | 1 | 2 | yes | — |
| 75 | C2×#1383 | C22 | 1 | 2 | yes | — |
| 76 | #12551 | C22 | 1 | 1 | yes | characteristic |
| 77 | #12551 | C22 | 1 | 1 | yes | characteristic |
| 78 | C2×#575 | — | 2 | 1 | no | — |
| 79 | C22×#135 | C23 | 1 | 2 | yes | — |
| 80 | C22×#135 | C23 | 1 | 1 | yes | characteristic |
| 81 | C22×#131 | — | 2 | 2 | no | — |
| 82 | #3449 | — | 2 | 1 | no | — |
| 83 | C2×C4×#41 | — | 2 | 1 | no | — |
| 84 | #3414 | — | 2 | 8 | no | — |
| 85 | #3414 | — | 2 | 8 | no | — |
| 86 | C2×#510 | — | 2 | 2 | no | — |
| 87 | C2×#510 | C23 | 1 | 4 | yes | — |
| 88 | C2×#509 | — | 2 | 2 | no | — |
| 89 | C2×#509 | C23 | 1 | 4 | yes | — |
| 90 | C2×#508 | — | 2 | 4 | no | — |
| 91 | C22×M32 | C23 | 1 | 2 | yes | — |
| 92 | C22×M32 | C23 | 1 | 2 | yes | — |
| 93 | #3156 | — | 2 | 2 | no | — |
| 94 | #3155 | — | 2 | 2 | no | — |
| 95 | #3154 | — | 2 | 4 | no | — |
| 96 | #3150 | C23 | 1 | 4 | yes | — |
| 97 | #3147 | — | 2 | 2 | no | — |
| 98 | #2955 | — | 4 | 8 | no | — |
| 99 | C2×#444 | — | 2 | 2 | no | — |
| 100 | C2×#444 | — | 2 | 2 | no | — |
| 101 | C2×#444 | — | 2 | 4 | no | — |
| 102 | C2×#444 | — | 2 | 8 | no | — |
| 103 | C2×#444 | — | 2 | 8 | no | — |
| 104 | C2×#444 | C23 | 1 | 4 | yes | — |
| 105 | C2×#444 | C23 | 1 | 4 | yes | — |
| 106 | C2×#443 | — | 2 | 4 | no | — |
| 107 | #2943 | — | 2 | 4 | no | — |
| 108 | #2943 | D4 | 1 | 8 | yes | complemented |
| 109 | C2×#442 | C23 | 1 | 1 | yes | characteristic |
| 110 | C2×#442 | C23 | 1 | 1 | yes | characteristic |
| 111 | C2×#441 | C23 | 1 | 1 | yes | characteristic |
| 112 | C2×#441 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×#440 | — | 2 | 1 | no | — |
| 114 | C2×#440 | — | 2 | 1 | no | — |
| 115 | #2932 | — | 2 | 4 | no | — |
| 116 | #2931 | — | 2 | 4 | no | — |
| 117 | #2930 | — | 4 | 4 | no | — |
| 118 | #2929 | — | 4 | 4 | no | — |
| 119 | C2×#430 | — | 2 | 1 | no | — |
| 120 | C22×#108 | C23 | 1 | 2 | yes | — |
| 121 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 122 | C22×#107 | C23 | 1 | 1 | yes | characteristic |
| 123 | C22×#106 | C23 | 1 | 1 | yes | characteristic |
| 124 | #2905 | — | 2 | 1 | no | — |
| 125 | C2×#421 | — | 2 | 2 | no | — |
| 126 | C22×#104 | — | 2 | 2 | no | — |
| 127 | C2×#417 | — | 2 | 1 | no | — |
| 128 | C2×#417 | — | 2 | 1 | no | — |
| 129 | C2×#416 | — | 2 | 1 | no | — |
| 130 | #2879 | — | 2 | 2 | no | — |
| 131 | C2×#405 | D4 | 1 | 1 | yes | characteristic |
| 132 | C2×#405 | D4 | 1 | 1 | yes | characteristic |
| 133 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 134 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 135 | C2×C4×M16 | D4 | 1 | 1 | yes | characteristic |
| 136 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 137 | #2320 | — | 2 | 2 | no | — |
| 138 | #2319 | — | 2 | 2 | no | — |
| 139 | #2318 | — | 4 | 2 | no | — |
| 140 | #2317 | — | 2 | 1 | no | — |
| 141 | #2317 | — | 2 | 1 | no | — |
| 142 | #2314 | — | 4 | 1 | no | — |
| 143 | #2314 | — | 4 | 1 | no | — |
| 144 | #2311 | — | 2 | 1 | no | — |
| 145 | #2311 | — | 2 | 1 | no | — |
| 146 | #2295 | — | 2 | 2 | no | — |
| 147 | #2293 | — | 2 | 2 | no | — |
| 148 | #2290 | — | 4 | 2 | no | — |
| 149 | #2285 | — | 4 | 1 | no | — |
| 150 | #2283 | — | 4 | 1 | no | — |
| 151 | C4×#117 | D4 | 1 | 1 | yes | characteristic |
| 152 | C2×C4×C4⋊C4 | — | 2 | 1 | no | — |
| 153 | AGL(1,ℤ/16) | — | 2 | 16 | no | — |
| 154 | AGL(1,ℤ/16) | — | 2 | 16 | no | — |
| 155 | #2180 | — | 2 | 16 | no | — |
| 156 | #2180 | — | 2 | 16 | no | — |
| 157 | #2155 | — | 2 | 8 | no | — |
| 158 | C2×#365 | C23 | 1 | 4 | yes | — |
| 159 | C2×#365 | C23 | 1 | 4 | yes | — |
| 160 | #2153 | — | 2 | 8 | no | — |
| 161 | C2×#364 | C23 | 1 | 8 | yes | — |
| 162 | #2148 | — | 2 | 8 | no | — |
| 163 | C2×#362 | C23 | 1 | 4 | yes | — |
| 164 | C2×#361 | C23 | 1 | 4 | yes | — |
| 165 | #2145 | — | 2 | 8 | no | — |
| 166 | C2×#360 | — | 2 | 8 | no | — |
| 167 | C2×#360 | C23 | 1 | 8 | yes | — |
| 168 | C2×#360 | C23 | 1 | 4 | yes | — |
| 169 | C2×#360 | C23 | 1 | 4 | yes | — |
| 170 | #2139 | — | 2 | 4 | no | — |
| 171 | #2139 | C23 | 1 | 8 | yes | — |
| 172 | C2×#358 | — | 2 | 2 | no | — |
| 173 | C2×#357 | — | 2 | 2 | no | — |
| 174 | C2×#347 | — | 2 | 8 | no | — |
| 175 | C2×#347 | C23 | 1 | 4 | yes | — |
| 176 | C2×#347 | C23 | 1 | 4 | yes | — |
| 177 | #1975 | — | 2 | 4 | no | — |
| 178 | #1975 | — | 2 | 4 | no | — |
| 179 | #1974 | — | 2 | 4 | no | — |
| 180 | #1974 | C23 | 1 | 8 | yes | — |
| 181 | #1973 | — | 2 | 2 | no | — |
| 182 | #1972 | C23 | 1 | 2 | yes | — |
| 183 | #1971 | C23 | 1 | 2 | yes | — |
| 184 | #1970 | C23 | 1 | 2 | yes | — |
| 185 | #1969 | C23 | 1 | 2 | yes | — |
| 186 | #1968 | — | 2 | 2 | no | — |
| 187 | #1963 | — | 2 | 4 | no | — |
| 188 | #1962 | — | 2 | 4 | no | — |
| 189 | #1944 | C23 | 1 | 2 | yes | — |
| 190 | #1944 | C23 | 1 | 2 | yes | — |
| 191 | #1943 | — | 2 | 2 | no | — |
| 192 | #1942 | — | 2 | 2 | no | — |
| 193 | #1941 | C23 | 1 | 2 | yes | — |
| 194 | #1941 | C23 | 1 | 2 | yes | — |
| 195 | #1936 | — | 2 | 2 | no | — |
| 196 | #1936 | — | 2 | 2 | no | — |
| 197 | #1935 | — | 2 | 2 | no | — |
| 198 | #1935 | — | 2 | 2 | no | — |
| 199 | #1934 | — | 2 | 2 | no | — |
| 200 | #1934 | — | 2 | 2 | no | — |
| 201 | #1933 | — | 2 | 2 | no | — |
| 202 | #1933 | — | 2 | 2 | no | — |
| 203 | #1849 | C23 | 1 | 4 | yes | — |
| 204 | #1848 | — | 2 | 2 | no | — |
| 205 | #1776 | — | 2 | 1 | no | — |
| 206 | #1776 | — | 2 | 1 | no | — |
| 207 | #1776 | C23 | 1 | 2 | yes | — |
| 208 | #1776 | C23 | 1 | 2 | yes | — |
| 209 | #1763 | — | 2 | 2 | no | — |
| 210 | #1762 | — | 2 | 2 | no | — |
| 211 | C4×#103 | — | 2 | 2 | no | — |
| 212 | C4×#102 | — | 2 | 2 | no | — |
| 213 | #1736 | — | 2 | 1 | no | — |
| 214 | #1736 | — | 2 | 1 | no | — |
| 215 | C2×#340 | — | 2 | 1 | no | — |
| 216 | #1726 | D4 | 1 | 2 | yes | — |
| 217 | #1726 | C23 | 1 | 2 | yes | — |
| 218 | C4×#97 | D4 | 1 | 2 | yes | — |
| 219 | C4×#97 | C23 | 1 | 2 | yes | — |
| 220 | #1387 | C23 | 1 | 8 | yes | — |
| 221 | #1383 | C23 | 1 | 8 | yes | — |
| 222 | #1377 | C23 | 1 | 4 | yes | — |
| 223 | #1377 | C23 | 1 | 4 | yes | — |
| 224 | C22×#41 | — | 2 | 1 | no | — |
| 225 | C22×#41 | — | 2 | 2 | no | — |
| 226 | #575 | — | 4 | 4 | no | — |
| 227 | #575 | — | 4 | 4 | no | — |
| 228 | C2×#137 | — | 2 | 4 | no | — |
| 229 | C2×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 230 | C2×#135 | — | 2 | 2 | no | — |
| 231 | C2×#135 | — | 2 | 4 | no | — |
| 232 | C2×#135 | — | 2 | 4 | no | — |
| 233 | C2×#135 | — | 2 | 2 | no | — |
| 234 | C2×#135 | — | 2 | 2 | no | — |
| 235 | C2×#135 | — | 2 | 2 | no | — |
| 236 | C2×#135 | — | 2 | 2 | no | — |
| 237 | C2×#135 | — | 2 | 4 | no | — |
| 238 | C2×#135 | — | 2 | 4 | no | — |
| 239 | C2×#135 | — | 2 | 4 | no | — |
| 240 | C2×#135 | — | 2 | 4 | no | — |
| 241 | C2×#135 | C2×D4 | 1 | 4 | yes | — |
| 242 | C2×#135 | #41 | 1 | 4 | yes | — |
| 243 | C2×#135 | C24 | 1 | 4 | yes | — |
| 244 | C22×Q16 | #41 | 1 | 2 | yes | — |
| 245 | C22×Q16 | C24 | 1 | 1 | yes | characteristic |
| 246 | C22×SD16 | — | 2 | 1 | no | — |
| 247 | C22×SD16 | — | 2 | 2 | no | — |
| 248 | C22×D8 | #41 | 1 | 2 | yes | — |
| 249 | C22×D8 | C24 | 1 | 1 | yes | characteristic |
| 250 | C2×#131 | — | 2 | 4 | no | — |
| 251 | C2×#131 | — | 2 | 4 | no | — |
| 252 | C2×#131 | — | 4 | 2 | no | — |
| 253 | C2×#131 | — | 4 | 2 | no | — |
| 254 | C2×#131 | — | 4 | 8 | no | — |
| 255 | C2×#131 | — | 4 | 8 | no | — |
| 256 | C22×M16 | — | 2 | 2 | no | — |
| 257 | C22×M16 | — | 4 | 2 | no | — |
| 258 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 259 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 260 | C23×C8 | — | 4 | 2 | no | — |
| 261 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 263 | #537 | — | 4 | 1 | no | — |
| 264 | #537 | — | 4 | 1 | no | — |
| 265 | #536 | — | 2 | 4 | no | — |
| 266 | #535 | — | 2 | 4 | no | — |
| 267 | #534 | — | 4 | 2 | no | — |
| 268 | #532 | — | 2 | 4 | no | — |
| 269 | #525 | — | 4 | 4 | no | — |
| 270 | C4×#41 | — | 2 | 8 | no | — |
| 271 | C4×#41 | — | 4 | 4 | no | — |
| 272 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 273 | C2×C4×Q8 | — | 2 | 1 | no | — |
| 274 | C2×C4×D4 | — | 2 | 1 | no | — |
| 275 | C2×C4×D4 | — | 2 | 1 | no | — |
| 276 | C2×C4×D4 | — | 4 | 1 | no | — |
| 277 | C2×C4×D4 | — | 4 | 1 | no | — |
| 278 | C2×#117 | — | 2 | 1 | no | — |
| 279 | C2×#117 | — | 4 | 1 | no | — |
| 280 | C2×#117 | — | 4 | 2 | no | — |
| 281 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 282 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 283 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 284 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 285 | C22×C42 | — | 4 | 1 | no | — |
| 286 | C22×C42 | — | 4 | 1 | no | — |
| 287 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | #510 | — | 2 | 16 | no | — |
| 289 | #510 | — | 2 | 8 | no | — |
| 290 | #510 | — | 2 | 8 | no | — |
| 291 | #509 | — | 2 | 16 | no | — |
| 292 | #509 | — | 2 | 8 | no | — |
| 293 | #509 | — | 2 | 8 | no | — |
| 294 | #508 | — | 2 | 32 | no | — |
| 295 | C2×Q32 | — | 2 | 4 | no | — |
| 296 | C2×SD32 | — | 2 | 4 | no | — |
| 297 | C2×SD32 | — | 2 | 4 | no | — |
| 298 | C2×D16 | — | 2 | 4 | no | — |
| 299 | C2×M32 | — | 2 | 4 | no | — |
| 300 | C2×M32 | — | 2 | 2 | no | — |
| 301 | C2×M32 | — | 2 | 2 | no | — |
| 302 | C2×M32 | — | 2 | 4 | no | — |
| 303 | C2×M32 | — | 2 | 4 | no | — |
| 304 | C2×M32 | #41 | 1 | 8 | yes | — |
| 305 | C2×M32 | C24 | 1 | 4 | yes | — |
| 306 | C2×M32 | C24 | 1 | 4 | yes | — |
| 307 | C22×C16 | — | 2 | 2 | no | — |
| 308 | C22×C16 | — | 2 | 2 | no | — |
| 309 | #497 | — | 2 | 8 | no | — |
| 310 | #496 | — | 2 | 8 | no | — |
| 311 | #495 | — | 2 | 4 | no | — |
| 312 | #495 | — | 2 | 4 | no | — |
| 313 | #494 | — | 2 | 2 | no | — |
| 314 | #493 | — | 2 | 2 | no | — |
| 315 | #492 | — | 2 | 4 | no | — |
| 316 | #444 | — | 2 | 8 | no | — |
| 317 | #444 | — | 2 | 8 | no | — |
| 318 | #444 | — | 2 | 8 | no | — |
| 319 | #444 | — | 2 | 8 | no | — |
| 320 | #444 | — | 4 | 16 | no | — |
| 321 | #444 | — | 4 | 8 | no | — |
| 322 | #444 | — | 4 | 8 | no | — |
| 323 | #443 | — | 4 | 16 | no | — |
| 324 | #442 | — | 2 | 2 | no | — |
| 325 | #442 | — | 2 | 2 | no | — |
| 326 | #442 | C2×D4 | 1 | 4 | yes | — |
| 327 | #442 | C2×D4 | 1 | 4 | yes | — |
| 328 | #441 | — | 2 | 2 | no | — |
| 329 | #441 | — | 2 | 2 | no | — |
| 330 | #441 | C2×D4 | 1 | 4 | yes | — |
| 331 | #441 | C2×D4 | 1 | 4 | yes | — |
| 332 | #440 | — | 2 | 8 | no | — |
| 333 | #440 | — | 2 | 8 | no | — |
| 334 | #436 | — | 4 | 4 | no | — |
| 335 | #436 | — | 4 | 4 | no | — |
| 336 | #435 | — | 4 | 8 | no | — |
| 337 | #435 | — | 4 | 8 | no | — |
| 338 | C8×D4 | — | 4 | 4 | no | — |
| 339 | C8×D4 | — | 4 | 4 | no | — |
| 340 | #430 | — | 4 | 4 | no | — |
| 341 | C2×#108 | — | 2 | 4 | no | — |
| 342 | C2×#108 | — | 2 | 4 | no | — |
| 343 | C2×#108 | — | 2 | 2 | no | — |
| 344 | C2×#108 | — | 2 | 4 | no | — |
| 345 | C2×#108 | C24 | 1 | 4 | yes | — |
| 346 | #427 | — | 2 | 2 | no | — |
| 347 | #427 | C2×D4 | 1 | 4 | yes | — |
| 348 | C2×#107 | — | 2 | 1 | no | — |
| 349 | C2×#107 | — | 2 | 2 | no | — |
| 350 | C2×#107 | — | 2 | 2 | no | — |
| 351 | C2×#107 | — | 2 | 1 | no | — |
| 352 | C2×#107 | C24 | 1 | 2 | yes | — |
| 353 | C2×#106 | — | 2 | 4 | no | — |
| 354 | C2×#106 | — | 2 | 1 | no | — |
| 355 | C2×#106 | C24 | 1 | 2 | yes | — |
| 356 | C2×#106 | C24 | 1 | 1 | yes | characteristic |
| 357 | C2×#106 | C24 | 1 | 1 | yes | characteristic |
| 358 | #424 | — | 4 | 4 | no | — |
| 359 | #423 | — | 2 | 4 | no | — |
| 360 | #421 | — | 4 | 8 | no | — |
| 361 | C2×#104 | — | 2 | 4 | no | — |
| 362 | C2×#104 | — | 2 | 4 | no | — |
| 363 | C2×#104 | — | 2 | 8 | no | — |
| 364 | C2×#104 | — | 4 | 8 | no | — |
| 365 | #417 | — | 4 | 4 | no | — |
| 366 | #417 | — | 4 | 4 | no | — |
| 367 | #416 | — | 2 | 8 | no | — |
| 368 | C2×#103 | — | 2 | 1 | no | — |
| 369 | C2×#103 | — | 2 | 1 | no | — |
| 370 | C2×#103 | — | 2 | 2 | no | — |
| 371 | C2×#103 | — | 2 | 2 | no | — |
| 372 | C2×#102 | — | 2 | 1 | no | — |
| 373 | C2×#102 | — | 2 | 1 | no | — |
| 374 | C2×#102 | — | 2 | 2 | no | — |
| 375 | C2×#102 | — | 2 | 2 | no | — |
| 376 | #408 | — | 2 | 8 | no | — |
| 377 | #408 | — | 4 | 4 | no | — |
| 378 | #407 | — | 4 | 4 | no | — |
| 379 | #405 | — | 2 | 4 | no | — |
| 380 | #405 | — | 2 | 4 | no | — |
| 381 | #405 | — | 2 | 2 | no | — |
| 382 | #405 | — | 2 | 2 | no | — |
| 383 | #405 | — | 2 | 4 | no | — |
| 384 | C4×M16 | — | 4 | 2 | no | — |
| 385 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 386 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 387 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 388 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 389 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 390 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 391 | C2×#97 | C2×D4 | 1 | 4 | yes | — |
| 392 | C2×#97 | #41 | 1 | 4 | yes | — |
| 393 | C2×#97 | C24 | 1 | 2 | yes | — |
| 394 | C2×#97 | C24 | 1 | 1 | yes | characteristic |
| 395 | C2×#97 | C24 | 1 | 1 | yes | characteristic |
| 396 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 397 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 398 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 399 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 400 | C2×C4×C8 | C24 | 1 | 2 | yes | — |
| 401 | #391 | — | 2 | 2 | no | — |
| 402 | #391 | — | 2 | 2 | no | — |
| 403 | #390 | — | 2 | 2 | no | — |
| 404 | #390 | — | 2 | 2 | no | — |
| 405 | #389 | — | 2 | 2 | no | — |
| 406 | #389 | — | 2 | 2 | no | — |
| 407 | #389 | — | 2 | 2 | no | — |
| 408 | #389 | — | 2 | 2 | no | — |
| 409 | #388 | — | 4 | 2 | no | — |
| 410 | #388 | — | 4 | 2 | no | — |
| 411 | #388 | — | 4 | 2 | no | — |
| 412 | #388 | — | 4 | 2 | no | — |
| 413 | #387 | — | 4 | 2 | no | — |
| 414 | #387 | — | 4 | 2 | no | — |
| 415 | #387 | — | 4 | 2 | no | — |
| 416 | #387 | — | 4 | 2 | no | — |
| 417 | #386 | — | 4 | 2 | no | — |
| 418 | #386 | — | 4 | 2 | no | — |
| 419 | #385 | — | 4 | 2 | no | — |
| 420 | #385 | — | 4 | 2 | no | — |
| 421 | #384 | — | 4 | 1 | no | — |
| 422 | #384 | — | 4 | 1 | no | — |
| 423 | #383 | — | 4 | 2 | no | — |
| 424 | #382 | — | 4 | 2 | no | — |
| 425 | #382 | — | 4 | 1 | no | — |
| 426 | #382 | — | 4 | 1 | no | — |
| 427 | #381 | — | 4 | 2 | no | — |
| 428 | #380 | — | 4 | 2 | no | — |
| 429 | #380 | — | 4 | 1 | no | — |
| 430 | #380 | — | 4 | 1 | no | — |
| 431 | #380 | — | 4 | 1 | no | — |
| 432 | #380 | — | 4 | 1 | no | — |
| 433 | C4×C4⋊C4 | — | 2 | 1 | no | — |
| 434 | C4×C4⋊C4 | — | 2 | 1 | no | — |
| 435 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 436 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 437 | C4×C4⋊C4 | — | 4 | 1 | no | — |
| 438 | C4×C4⋊C4 | — | 4 | 1 | no | — |
| 439 | C4×C4⋊C4 | — | 4 | 2 | no | — |
| 440 | C4×C22⋊C4 | — | 2 | 2 | no | — |
| 441 | C4×C22⋊C4 | — | 4 | 2 | no | — |
| 442 | #376 | — | 4 | 2 | no | — |
| 443 | #376 | C2×D4 | 1 | 2 | yes | — |
| 444 | C2×#95 | — | 4 | 1 | no | — |
| 445 | C43 | C2×D4 | 1 | 2 | yes | — |
| 446 | #365 | — | 2 | 8 | no | — |
| 447 | #365 | — | 2 | 8 | no | — |
| 448 | #364 | — | 2 | 16 | no | — |
| 449 | #362 | — | 2 | 8 | no | — |
| 450 | #361 | — | 2 | 8 | no | — |
| 451 | #360 | — | 2 | 16 | no | — |
| 452 | #360 | — | 2 | 8 | no | — |
| 453 | #360 | — | 2 | 8 | no | — |
| 454 | #358 | — | 2 | 8 | no | — |
| 455 | #357 | — | 2 | 8 | no | — |
| 456 | #347 | — | 2 | 8 | no | — |
| 457 | #347 | — | 2 | 8 | no | — |
| 458 | #340 | — | 2 | 2 | no | — |
| 459 | #340 | — | 2 | 2 | no | — |
| 460 | #340 | — | 2 | 2 | no | — |
| 461 | #340 | — | 2 | 2 | no | — |
| 462 | #340 | — | 2 | 2 | no | — |
| 463 | #340 | — | 2 | 2 | no | — |
| 464 | C2×#41 | — | 2 | 4 | no | — |
| 465 | C2×#41 | — | 2 | 4 | no | — |
| 466 | C2×#41 | — | 2 | 4 | no | — |
| 467 | C2×#41 | — | 4 | 2 | no | — |
| 468 | C2×#41 | — | 4 | 2 | no | — |
| 469 | C2×#41 | — | 4 | 2 | no | — |
| 470 | C2×#41 | — | 4 | 4 | no | — |
| 471 | C2×#41 | — | 4 | 2 | no | — |
| 472 | C2×#41 | — | 4 | 4 | no | — |
| 473 | C2×#41 | — | 4 | 2 | no | — |
| 474 | C2×#41 | — | 4 | 4 | no | — |
| 475 | C2×#41 | — | 4 | 2 | no | — |
| 476 | C2×#41 | — | 4 | 2 | no | — |
| 477 | C2×#41 | — | 4 | 4 | no | — |
| 478 | C22×Q8 | — | 2 | 2 | no | — |
| 479 | C22×Q8 | — | 2 | 1 | no | — |
| 480 | C22×D4 | — | 2 | 2 | no | — |
| 481 | C22×D4 | — | 2 | 1 | no | — |
| 482 | C22×D4 | — | 4 | 1 | no | — |
| 483 | C22×D4 | — | 4 | 2 | no | — |
| 484 | C23×C4 | — | 2 | 1 | no | — |
| 485 | C23×C4 | — | 4 | 1 | no | — |
| 486 | C23×C4 | — | 4 | 1 | no | — |
| 487 | C23×C4 | — | 4 | 1 | no | — |
| 488 | C23×C4 | — | 4 | 2 | no | — |
| 489 | C23×C4 | — | 4 | 1 | no | — |
| 490 | C23×C4 | — | 4 | 1 | no | — |
| 491 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 492 | #137 | — | 4 | 16 | no | — |
| 493 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 494 | #135 | — | 2 | 8 | no | — |
| 495 | #135 | — | 2 | 8 | no | — |
| 496 | #135 | — | 2 | 8 | no | — |
| 497 | #135 | — | 2 | 8 | no | — |
| 498 | #135 | — | 2 | 4 | no | — |
| 499 | #135 | — | 2 | 4 | no | — |
| 500 | #135 | — | 2 | 4 | no | — |
| 501 | #135 | — | 2 | 4 | no | — |
| 502 | #135 | — | 4 | 8 | no | — |
| 503 | #135 | — | 4 | 4 | no | — |
| 504 | #135 | — | 4 | 4 | no | — |
| 505 | #135 | — | 4 | 4 | no | — |
| 506 | #135 | — | 4 | 4 | no | — |
| 507 | #135 | — | 4 | 4 | no | — |
| 508 | #135 | — | 4 | 4 | no | — |
| 509 | #135 | — | 4 | 8 | no | — |
| 510 | C2×Q16 | — | 2 | 4 | no | — |
| 511 | C2×Q16 | — | 2 | 4 | no | — |
| 512 | C2×Q16 | — | 2 | 2 | no | — |
| 513 | C2×Q16 | — | 2 | 4 | no | — |
| 514 | C2×Q16 | — | 2 | 2 | no | — |
| 515 | C2×Q16 | — | 2 | 2 | no | — |
| 516 | C2×Q16 | — | 2 | 1 | no | — |
| 517 | C2×Q16 | C22×D4 | 1 | 2 | yes | — |
| 518 | C2×Q16 | C2×#41 | 1 | 4 | yes | — |
| 519 | C2×SD16 | — | 2 | 8 | no | — |
| 520 | C2×SD16 | — | 2 | 4 | no | — |
| 521 | C2×SD16 | — | 2 | 4 | no | — |
| 522 | C2×SD16 | — | 2 | 4 | no | — |
| 523 | C2×SD16 | — | 4 | 1 | no | — |
| 524 | C2×SD16 | — | 4 | 1 | no | — |
| 525 | C2×SD16 | — | 4 | 4 | no | — |
| 526 | C2×SD16 | — | 4 | 4 | no | — |
| 527 | C2×SD16 | — | 4 | 2 | no | — |
| 528 | C2×D8 | — | 2 | 4 | no | — |
| 529 | C2×D8 | — | 2 | 4 | no | — |
| 530 | C2×D8 | — | 2 | 2 | no | — |
| 531 | C2×D8 | — | 2 | 4 | no | — |
| 532 | C2×D8 | — | 2 | 2 | no | — |
| 533 | C2×D8 | — | 2 | 2 | no | — |
| 534 | C2×D8 | — | 2 | 1 | no | — |
| 535 | C2×D8 | C22×D4 | 1 | 2 | yes | — |
| 536 | C2×D8 | C2×#41 | 1 | 4 | yes | — |
| 537 | #131 | — | 4 | 8 | no | — |
| 538 | #131 | — | 4 | 8 | no | — |
| 539 | #131 | — | 4 | 8 | no | — |
| 540 | #131 | — | 4 | 8 | no | — |
| 541 | #131 | — | 8 | 8 | no | — |
| 542 | #131 | — | 8 | 8 | no | — |
| 543 | C2×M16 | — | 2 | 2 | no | — |
| 544 | C2×M16 | — | 2 | 2 | no | — |
| 545 | C2×M16 | — | 2 | 2 | no | — |
| 546 | C2×M16 | — | 2 | 2 | no | — |
| 547 | C2×M16 | — | 2 | 4 | no | — |
| 548 | C2×M16 | — | 4 | 4 | no | — |
| 549 | C2×M16 | — | 4 | 4 | no | — |
| 550 | C2×M16 | — | 4 | 2 | no | — |
| 551 | C2×M16 | — | 4 | 4 | no | — |
| 552 | C2×M16 | — | 4 | 4 | no | — |
| 553 | C2×M16 | — | 8 | 8 | no | — |
| 554 | C2×M16 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 555 | C2×M16 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 556 | C22×C8 | — | 2 | 2 | no | — |
| 557 | C22×C8 | — | 2 | 2 | no | — |
| 558 | C22×C8 | — | 4 | 4 | no | — |
| 559 | C22×C8 | — | 4 | 4 | no | — |
| 560 | C22×C8 | — | 4 | 2 | no | — |
| 561 | C22×C8 | — | 8 | 8 | no | — |
| 562 | C22×C8 | #121 | 1 | 4 | yes | — |
| 563 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 564 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 565 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 566 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 567 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 568 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 569 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 570 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 571 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 572 | C22×C8 | C2×#41 | 1 | 4 | yes | — |
| 573 | C22×C8 | C25 | 1 | 1 | yes | characteristic |
| 574 | C4⋊Q8 | — | 2 | 4 | no | — |
| 575 | #127 | — | 2 | 4 | no | — |
| 576 | #124 | — | 2 | 8 | no | — |
| 577 | #123 | — | 4 | 8 | no | — |
| 578 | C22⋊Q8 | — | 4 | 4 | no | — |
| 579 | C22⋊Q8 | — | 4 | 4 | no | — |
| 580 | #121 | — | 4 | 4 | no | — |
| 581 | #121 | — | 4 | 4 | no | — |
| 582 | #121 | — | 4 | 4 | no | — |
| 583 | #121 | — | 4 | 4 | no | — |
| 584 | #120 | — | 4 | 8 | no | — |
| 585 | C4×Q8 | — | 2 | 4 | no | — |
| 586 | C4×Q8 | — | 2 | 4 | no | — |
| 587 | C4×Q8 | — | 4 | 2 | no | — |
| 588 | C4×Q8 | — | 4 | 2 | no | — |
| 589 | C4×D4 | — | 2 | 4 | no | — |
| 590 | C4×D4 | — | 2 | 4 | no | — |
| 591 | C4×D4 | — | 4 | 2 | no | — |
| 592 | C4×D4 | — | 4 | 2 | no | — |
| 593 | C4×D4 | — | 4 | 4 | no | — |
| 594 | C4×D4 | — | 4 | 4 | no | — |
| 595 | C4×D4 | — | 4 | 8 | no | — |
| 596 | C4×D4 | — | 4 | 8 | no | — |
| 597 | #117 | — | 2 | 2 | no | — |
| 598 | #117 | — | 2 | 2 | no | — |
| 599 | #117 | — | 2 | 2 | no | — |
| 600 | #117 | — | 2 | 2 | no | — |
| 601 | #117 | — | 2 | 4 | no | — |
| 602 | #117 | — | 4 | 8 | no | — |
| 603 | #117 | — | 4 | 2 | no | — |
| 604 | #117 | — | 16 | 4 | no | — |
| 605 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 606 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 607 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 608 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 609 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 610 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 611 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 612 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 613 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 614 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 615 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 616 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 617 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 618 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 619 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 620 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 621 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 622 | C2×C4⋊C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 623 | C2×C4⋊C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 624 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 625 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 626 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 627 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 628 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 629 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 630 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 631 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 632 | C2×C22⋊C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 633 | C2×C42 | — | 2 | 1 | no | — |
| 634 | C2×C42 | — | 2 | 2 | no | — |
| 635 | C2×C42 | — | 2 | 2 | no | — |
| 636 | C2×C42 | — | 2 | 2 | no | — |
| 637 | C2×C42 | — | 4 | 8 | no | — |
| 638 | C2×C42 | — | 4 | 1 | no | — |
| 639 | C2×C42 | — | 4 | 1 | no | — |
| 640 | C2×C42 | — | 4 | 1 | no | — |
| 641 | C2×C42 | — | 4 | 2 | no | — |
| 642 | C2×C42 | — | 4 | 2 | no | — |
| 643 | C2×C42 | — | 16 | 2 | no | — |
| 644 | C2×C42 | #121 | 1 | 4 | yes | — |
| 645 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 646 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 647 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 648 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 649 | Q32 | — | 2 | 16 | no | — |
| 650 | SD32 | — | 2 | 16 | no | — |
| 651 | SD32 | — | 2 | 16 | no | — |
| 652 | D16 | — | 2 | 16 | no | — |
| 653 | M32 | — | 2 | 8 | no | — |
| 654 | M32 | — | 2 | 4 | no | — |
| 655 | M32 | — | 2 | 4 | no | — |
| 656 | M32 | — | 2 | 4 | no | — |
| 657 | M32 | — | 4 | 4 | no | — |
| 658 | M32 | C2×#41 | 1 | 8 | yes | — |
| 659 | C2×C16 | — | 2 | 8 | no | — |
| 660 | C2×C16 | — | 2 | 4 | no | — |
| 661 | C2×C16 | — | 2 | 4 | no | — |
| 662 | C2×C16 | — | 4 | 4 | no | — |
| 663 | #108 | — | 2 | 4 | no | — |
| 664 | #108 | — | 2 | 4 | no | — |
| 665 | #108 | — | 4 | 4 | no | — |
| 666 | #108 | — | 4 | 8 | no | — |
| 667 | #107 | — | 2 | 4 | no | — |
| 668 | #107 | — | 2 | 4 | no | — |
| 669 | #107 | — | 4 | 1 | no | — |
| 670 | #107 | — | 4 | 1 | no | — |
| 671 | #106 | — | 2 | 1 | no | — |
| 672 | #106 | — | 2 | 1 | no | — |
| 673 | #106 | — | 2 | 4 | no | — |
| 674 | #106 | — | 4 | 2 | no | — |
| 675 | #106 | C22×D4 | 1 | 2 | yes | — |
| 676 | #106 | C22×D4 | 1 | 2 | yes | — |
| 677 | C4⋊C8 | — | 4 | 4 | no | — |
| 678 | C4⋊C8 | — | 4 | 4 | no | — |
| 679 | #104 | — | 4 | 16 | no | — |
| 680 | #104 | — | 4 | 8 | no | — |
| 681 | #104 | — | 4 | 8 | no | — |
| 682 | #103 | — | 2 | 4 | no | — |
| 683 | #103 | — | 2 | 4 | no | — |
| 684 | #103 | — | 4 | 4 | no | — |
| 685 | #103 | — | 4 | 4 | no | — |
| 686 | #102 | — | 2 | 4 | no | — |
| 687 | #102 | — | 2 | 4 | no | — |
| 688 | #102 | — | 4 | 4 | no | — |
| 689 | #102 | — | 4 | 4 | no | — |
| 690 | C22⋊C8 | — | 4 | 8 | no | — |
| 691 | C22⋊C8 | — | 4 | 8 | no | — |
| 692 | #97 | — | 2 | 4 | no | — |
| 693 | #97 | — | 2 | 4 | no | — |
| 694 | #97 | — | 2 | 4 | no | — |
| 695 | #97 | — | 2 | 4 | no | — |
| 696 | #97 | — | 4 | 2 | no | — |
| 697 | #97 | #121 | 1 | 4 | yes | — |
| 698 | #97 | #121 | 1 | 4 | yes | — |
| 699 | #97 | C22×D4 | 1 | 2 | yes | — |
| 700 | #97 | C22×D4 | 1 | 2 | yes | — |
| 701 | #97 | C2×#41 | 1 | 2 | yes | — |
| 702 | #97 | C2×#41 | 1 | 2 | yes | — |
| 703 | C4×C8 | — | 2 | 2 | no | — |
| 704 | C4×C8 | — | 2 | 2 | no | — |
| 705 | C4×C8 | — | 2 | 4 | no | — |
| 706 | C4×C8 | — | 2 | 4 | no | — |
| 707 | C4×C8 | — | 2 | 4 | no | — |
| 708 | C4×C8 | — | 4 | 2 | no | — |
| 709 | #95 | — | 2 | 2 | no | — |
| 710 | #95 | — | 2 | 2 | no | — |
| 711 | #95 | — | 4 | 2 | no | — |
| 712 | #95 | — | 4 | 2 | no | — |
| 713 | #95 | — | 4 | 2 | no | — |
| 714 | #95 | — | 4 | 2 | no | — |
| 715 | #95 | — | 4 | 2 | no | — |
| 716 | #95 | — | 4 | 2 | no | — |
| 717 | #95 | — | 4 | 2 | no | — |
| 718 | #95 | — | 4 | 2 | no | — |
| 719 | #95 | — | 4 | 2 | no | — |
| 720 | #95 | — | 4 | 2 | no | — |
| 721 | C24 | — | 4 | 1 | no | — |
| 722 | C24 | — | 4 | 2 | no | — |
| 723 | C24 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 724 | #41 | — | 4 | 8 | no | — |
| 725 | #41 | — | 4 | 8 | no | — |
| 726 | #41 | — | 4 | 8 | no | — |
| 727 | #41 | — | 4 | 4 | no | — |
| 728 | #41 | — | 4 | 4 | no | — |
| 729 | #41 | — | 4 | 8 | no | — |
| 730 | #41 | — | 4 | 4 | no | — |
| 731 | #41 | — | 4 | 4 | no | — |
| 732 | #41 | — | 8 | 4 | no | — |
| 733 | #41 | — | 8 | 4 | no | — |
| 734 | #41 | — | 8 | 4 | no | — |
| 735 | #41 | — | 8 | 4 | no | — |
| 736 | #41 | — | 8 | 4 | no | — |
| 737 | #41 | — | 8 | 4 | no | — |
| 738 | C2×Q8 | — | 2 | 2 | no | — |
| 739 | C2×Q8 | — | 2 | 4 | no | — |
| 740 | C2×Q8 | — | 4 | 2 | no | — |
| 741 | C2×Q8 | — | 4 | 1 | no | — |
| 742 | C2×Q8 | — | 4 | 4 | no | — |
| 743 | C2×Q8 | — | 4 | 4 | no | — |
| 744 | C2×Q8 | — | 4 | 1 | no | — |
| 745 | C2×Q8 | — | 4 | 1 | no | — |
| 746 | C2×Q8 | — | 4 | 1 | no | — |
| 747 | C2×Q8 | — | 4 | 1 | no | — |
| 748 | C2×D4 | — | 2 | 2 | no | — |
| 749 | C2×D4 | — | 2 | 4 | no | — |
| 750 | C2×D4 | — | 4 | 4 | no | — |
| 751 | C2×D4 | — | 4 | 4 | no | — |
| 752 | C2×D4 | — | 4 | 4 | no | — |
| 753 | C2×D4 | — | 4 | 4 | no | — |
| 754 | C2×D4 | — | 4 | 4 | no | — |
| 755 | C2×D4 | — | 4 | 2 | no | — |
| 756 | C2×D4 | — | 4 | 4 | no | — |
| 757 | C2×D4 | — | 4 | 4 | no | — |
| 758 | C2×D4 | — | 4 | 1 | no | — |
| 759 | C2×D4 | — | 4 | 1 | no | — |
| 760 | C2×D4 | — | 4 | 1 | no | — |
| 761 | C2×D4 | — | 4 | 1 | no | — |
| 762 | C2×D4 | — | 4 | 1 | no | — |
| 763 | C2×D4 | — | 8 | 2 | no | — |
| 764 | C2×D4 | — | 8 | 2 | no | — |
| 765 | C2×D4 | — | 8 | 4 | no | — |
| 766 | C2×D4 | — | 8 | 4 | no | — |
| 767 | C22×C4 | — | 2 | 1 | no | — |
| 768 | C22×C4 | — | 2 | 1 | no | — |
| 769 | C22×C4 | — | 2 | 4 | no | — |
| 770 | C22×C4 | — | 2 | 2 | no | — |
| 771 | C22×C4 | — | 4 | 4 | no | — |
| 772 | C22×C4 | — | 4 | 4 | no | — |
| 773 | C22×C4 | — | 4 | 2 | no | — |
| 774 | C22×C4 | — | 4 | 1 | no | — |
| 775 | C22×C4 | — | 4 | 1 | no | — |
| 776 | C22×C4 | — | 4 | 1 | no | — |
| 777 | C22×C4 | — | 4 | 4 | no | — |
| 778 | C22×C4 | — | 4 | 4 | no | — |
| 779 | C22×C4 | — | 4 | 4 | no | — |
| 780 | C22×C4 | — | 4 | 2 | no | — |
| 781 | C22×C4 | — | 4 | 2 | no | — |
| 782 | C22×C4 | — | 8 | 1 | no | — |
| 783 | C22×C4 | — | 8 | 1 | no | — |
| 784 | C22×C4 | — | 8 | 2 | no | — |
| 785 | C22×C4 | — | 8 | 2 | no | — |
| 786 | C22×C4 | — | 8 | 2 | no | — |
| 787 | C22×C4 | — | 8 | 4 | no | — |
| 788 | C22×C4 | — | 8 | 2 | no | — |
| 789 | C22×C4 | — | 8 | 4 | no | — |
| 790 | C22×C4 | — | 8 | 2 | no | — |
| 791 | C22×C4 | — | 8 | 2 | no | — |
| 792 | C22×C4 | — | 16 | 1 | no | — |
| 793 | C22×C4 | — | 16 | 1 | no | — |
| 794 | C22×C4 | — | 16 | 1 | no | — |
| 795 | C22×C4 | — | 16 | 1 | no | — |
| 796 | C22×C4 | — | 16 | 1 | no | — |
| 797 | C22×C4 | — | 16 | 1 | no | — |
| 798 | C22×C4 | C2×#121 | 1 | 2 | yes | — |
| 799 | C22×C4 | #525 | 1 | 2 | yes | — |
| 800 | C22×C4 | #532 | 1 | 2 | yes | — |
| 801 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 802 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 803 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 804 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 805 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 806 | C22×C4 | #575 | 1 | 2 | yes | — |
| 807 | C22×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 808 | Q16 | — | 2 | 4 | no | — |
| 809 | Q16 | — | 2 | 4 | no | — |
| 810 | Q16 | — | 2 | 4 | no | — |
| 811 | Q16 | — | 4 | 8 | no | — |
| 812 | Q16 | — | 4 | 4 | no | — |
| 813 | Q16 | — | 4 | 2 | no | — |
| 814 | SD16 | — | 4 | 16 | no | — |
| 815 | SD16 | — | 4 | 4 | no | — |
| 816 | SD16 | — | 4 | 4 | no | — |
| 817 | SD16 | — | 4 | 8 | no | — |
| 818 | SD16 | — | 4 | 4 | no | — |
| 819 | SD16 | — | 4 | 4 | no | — |
| 820 | D8 | — | 2 | 4 | no | — |
| 821 | D8 | — | 2 | 4 | no | — |
| 822 | D8 | — | 2 | 4 | no | — |
| 823 | D8 | — | 4 | 8 | no | — |
| 824 | D8 | — | 4 | 4 | no | — |
| 825 | D8 | — | 4 | 2 | no | — |
| 826 | M16 | — | 2 | 8 | no | — |
| 827 | M16 | — | 2 | 8 | no | — |
| 828 | M16 | — | 4 | 4 | no | — |
| 829 | M16 | — | 4 | 4 | no | — |
| 830 | M16 | — | 8 | 8 | no | — |
| 831 | M16 | — | 8 | 8 | no | — |
| 832 | M16 | — | 8 | 4 | no | — |
| 833 | C2×C8 | — | 2 | 2 | no | — |
| 834 | C2×C8 | — | 2 | 2 | no | — |
| 835 | C2×C8 | — | 2 | 8 | no | — |
| 836 | C2×C8 | — | 2 | 1 | no | — |
| 837 | C2×C8 | — | 2 | 1 | no | — |
| 838 | C2×C8 | — | 2 | 1 | no | — |
| 839 | C2×C8 | — | 2 | 1 | no | — |
| 840 | C2×C8 | — | 2 | 2 | no | — |
| 841 | C2×C8 | — | 2 | 2 | no | — |
| 842 | C2×C8 | — | 4 | 4 | no | — |
| 843 | C2×C8 | — | 8 | 8 | no | — |
| 844 | C2×C8 | — | 8 | 8 | no | — |
| 845 | C2×C8 | — | 8 | 4 | no | — |
| 846 | C2×C8 | C2×#121 | 1 | 2 | yes | — |
| 847 | C2×C8 | C2×#121 | 1 | 2 | yes | — |
| 848 | C2×C8 | C2×#121 | 1 | 2 | yes | — |
| 849 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 850 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 851 | C2×C8 | #525 | 1 | 4 | yes | — |
| 852 | C2×C8 | #525 | 1 | 4 | yes | — |
| 853 | C2×C8 | #529 | 1 | 4 | yes | — |
| 854 | C2×C8 | #529 | 1 | 4 | yes | — |
| 855 | C2×C8 | #532 | 1 | 2 | yes | — |
| 856 | C2×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 857 | C2×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 858 | C2×C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 859 | C2×C8 | C22×#41 | 1 | 2 | yes | — |
| 860 | C2×C8 | C22×#41 | 1 | 2 | yes | — |
| 861 | C2×C8 | C22×#41 | 1 | 1 | yes | characteristic |
| 862 | C4⋊C4 | — | 2 | 2 | no | — |
| 863 | C4⋊C4 | — | 2 | 2 | no | — |
| 864 | C4⋊C4 | — | 2 | 2 | no | — |
| 865 | C4⋊C4 | — | 2 | 2 | no | — |
| 866 | C4⋊C4 | — | 4 | 4 | no | — |
| 867 | C4⋊C4 | — | 4 | 4 | no | — |
| 868 | C4⋊C4 | — | 4 | 4 | no | — |
| 869 | C4⋊C4 | — | 4 | 4 | no | — |
| 870 | C4⋊C4 | — | 4 | 2 | no | — |
| 871 | C4⋊C4 | — | 4 | 1 | no | — |
| 872 | C4⋊C4 | — | 4 | 1 | no | — |
| 873 | C4⋊C4 | — | 4 | 2 | no | — |
| 874 | C4⋊C4 | — | 4 | 2 | no | — |
| 875 | C4⋊C4 | — | 4 | 2 | no | — |
| 876 | C4⋊C4 | — | 4 | 2 | no | — |
| 877 | C4⋊C4 | — | 8 | 2 | no | — |
| 878 | C4⋊C4 | — | 8 | 2 | no | — |
| 879 | C4⋊C4 | — | 16 | 2 | no | — |
| 880 | C4⋊C4 | — | 16 | 2 | no | — |
| 881 | C4⋊C4 | — | 16 | 2 | no | — |
| 882 | C4⋊C4 | — | 16 | 2 | no | — |
| 883 | C22⋊C4 | — | 2 | 4 | no | — |
| 884 | C22⋊C4 | — | 4 | 4 | no | — |
| 885 | C22⋊C4 | — | 4 | 4 | no | — |
| 886 | C22⋊C4 | — | 4 | 8 | no | — |
| 887 | C22⋊C4 | — | 4 | 8 | no | — |
| 888 | C22⋊C4 | — | 4 | 2 | no | — |
| 889 | C22⋊C4 | — | 4 | 4 | no | — |
| 890 | C22⋊C4 | — | 16 | 2 | no | — |
| 891 | C22⋊C4 | — | 16 | 2 | no | — |
| 892 | C22⋊C4 | — | 16 | 2 | no | — |
| 893 | C22⋊C4 | — | 16 | 2 | no | — |
| 894 | C42 | — | 2 | 2 | no | — |
| 895 | C42 | — | 2 | 4 | no | — |
| 896 | C42 | — | 2 | 2 | no | — |
| 897 | C42 | — | 2 | 1 | no | — |
| 898 | C42 | — | 2 | 1 | no | — |
| 899 | C42 | — | 2 | 2 | no | — |
| 900 | C42 | — | 2 | 2 | no | — |
| 901 | C42 | — | 4 | 4 | no | — |
| 902 | C42 | — | 4 | 4 | no | — |
| 903 | C42 | — | 4 | 4 | no | — |
| 904 | C42 | — | 8 | 2 | no | — |
| 905 | C42 | — | 8 | 2 | no | — |
| 906 | C42 | — | 8 | 4 | no | — |
| 907 | C42 | — | 16 | 2 | no | — |
| 908 | C42 | C2×#121 | 1 | 2 | yes | — |
| 909 | C42 | C2×#121 | 1 | 2 | yes | — |
| 910 | C16 | — | 2 | 8 | no | — |
| 911 | C16 | — | 4 | 4 | no | — |
| 912 | C23 | — | 4 | 1 | no | — |
| 913 | C23 | — | 4 | 1 | no | — |
| 914 | C23 | — | 4 | 4 | no | — |
| 915 | C23 | — | 4 | 2 | no | — |
| 916 | C23 | — | 8 | 1 | no | — |
| 917 | C23 | — | 8 | 1 | no | — |
| 918 | C23 | — | 8 | 1 | no | — |
| 919 | C23 | — | 8 | 1 | no | — |
| 920 | C23 | — | 8 | 1 | no | — |
| 921 | C23 | — | 8 | 1 | no | — |
| 922 | C23 | — | 8 | 4 | no | — |
| 923 | C23 | — | 16 | 2 | no | — |
| 924 | C23 | — | 16 | 2 | no | — |
| 925 | C23 | #3036 | 1 | 2 | yes | — |
| 926 | C23 | #3109 | 1 | 2 | yes | — |
| 927 | C23 | #3184 | 1 | 2 | yes | — |
| 928 | C23 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 929 | Q8 | — | 4 | 4 | no | — |
| 930 | Q8 | — | 4 | 2 | no | — |
| 931 | Q8 | — | 4 | 4 | no | — |
| 932 | Q8 | — | 4 | 2 | no | — |
| 933 | Q8 | — | 8 | 1 | no | — |
| 934 | Q8 | — | 8 | 1 | no | — |
| 935 | Q8 | — | 8 | 4 | no | — |
| 936 | D4 | — | 4 | 4 | no | — |
| 937 | D4 | — | 4 | 2 | no | — |
| 938 | D4 | — | 4 | 4 | no | — |
| 939 | D4 | — | 4 | 2 | no | — |
| 940 | D4 | — | 8 | 4 | no | — |
| 941 | D4 | — | 8 | 8 | no | — |
| 942 | D4 | — | 8 | 8 | no | — |
| 943 | D4 | — | 8 | 4 | no | — |
| 944 | D4 | — | 8 | 1 | no | — |
| 945 | D4 | — | 8 | 1 | no | — |
| 946 | D4 | — | 8 | 4 | no | — |
| 947 | D4 | — | 16 | 4 | no | — |
| 948 | D4 | — | 16 | 4 | no | — |
| 949 | C2×C4 | — | 2 | 2 | no | — |
| 950 | C2×C4 | — | 2 | 2 | no | — |
| 951 | C2×C4 | — | 2 | 2 | no | — |
| 952 | C2×C4 | — | 2 | 2 | no | — |
| 953 | C2×C4 | — | 4 | 1 | no | — |
| 954 | C2×C4 | — | 4 | 1 | no | — |
| 955 | C2×C4 | — | 4 | 1 | no | — |
| 956 | C2×C4 | — | 4 | 1 | no | — |
| 957 | C2×C4 | — | 4 | 2 | no | — |
| 958 | C2×C4 | — | 4 | 2 | no | — |
| 959 | C2×C4 | — | 4 | 2 | no | — |
| 960 | C2×C4 | — | 4 | 2 | no | — |
| 961 | C2×C4 | — | 4 | 2 | no | — |
| 962 | C2×C4 | — | 4 | 4 | no | — |
| 963 | C2×C4 | — | 4 | 2 | no | — |
| 964 | C2×C4 | — | 4 | 2 | no | — |
| 965 | C2×C4 | — | 4 | 2 | no | — |
| 966 | C2×C4 | — | 8 | 4 | no | — |
| 967 | C2×C4 | — | 8 | 8 | no | — |
| 968 | C2×C4 | — | 8 | 1 | no | — |
| 969 | C2×C4 | — | 8 | 1 | no | — |
| 970 | C2×C4 | — | 8 | 1 | no | — |
| 971 | C2×C4 | — | 8 | 1 | no | — |
| 972 | C2×C4 | — | 8 | 1 | no | — |
| 973 | C2×C4 | — | 8 | 1 | no | — |
| 974 | C2×C4 | — | 8 | 4 | no | — |
| 975 | C2×C4 | — | 8 | 4 | no | — |
| 976 | C2×C4 | — | 8 | 8 | no | — |
| 977 | C2×C4 | — | 8 | 8 | no | — |
| 978 | C2×C4 | — | 8 | 4 | no | — |
| 979 | C2×C4 | — | 8 | 2 | no | — |
| 980 | C2×C4 | — | 8 | 2 | no | — |
| 981 | C2×C4 | — | 8 | 2 | no | — |
| 982 | C2×C4 | — | 8 | 2 | no | — |
| 983 | C2×C4 | — | 8 | 2 | no | — |
| 984 | C2×C4 | — | 8 | 2 | no | — |
| 985 | C2×C4 | — | 16 | 4 | no | — |
| 986 | C2×C4 | — | 16 | 4 | no | — |
| 987 | C2×C4 | — | 16 | 4 | no | — |
| 988 | C2×C4 | #2392 | 1 | 4 | yes | — |
| 989 | C2×C4 | #3036 | 1 | 2 | yes | — |
| 990 | C2×C4 | #3038 | 1 | 4 | yes | — |
| 991 | C2×C4 | #3109 | 1 | 2 | yes | — |
| 992 | C2×C4 | #3114 | 1 | 4 | yes | — |
| 993 | C2×C4 | #3180 | 1 | 4 | yes | — |
| 994 | C2×C4 | #3184 | 1 | 2 | yes | — |
| 995 | C2×C4 | C22×#121 | 1 | 1 | yes | characteristic |
| 996 | C2×C4 | C2×#525 | 1 | 1 | yes | characteristic |
| 997 | C2×C4 | C2×#532 | 1 | 1 | yes | characteristic |
| 998 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 999 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1000 | C2×C4 | C2×#575 | 1 | 1 | yes | characteristic |
| 1001 | C8 | — | 2 | 4 | no | — |
| 1002 | C8 | — | 2 | 4 | no | — |
| 1003 | C8 | — | 2 | 2 | no | — |
| 1004 | C8 | — | 2 | 2 | no | — |
| 1005 | C8 | — | 8 | 4 | no | — |
| 1006 | C8 | #2392 | 1 | 2 | yes | — |
| 1007 | C8 | #2392 | 1 | 2 | yes | — |
| 1008 | C8 | C2×#525 | 1 | 2 | yes | — |
| 1009 | C8 | C2×#529 | 1 | 2 | yes | — |
| 1010 | C22 | — | 2 | 1 | no | — |
| 1011 | C22 | — | 2 | 2 | no | — |
| 1012 | C22 | — | 2 | 1 | no | — |
| 1013 | C22 | — | 2 | 2 | no | — |
| 1014 | C22 | — | 4 | 2 | no | — |
| 1015 | C22 | — | 4 | 2 | no | — |
| 1016 | C22 | — | 8 | 2 | no | — |
| 1017 | C22 | — | 8 | 2 | no | — |
| 1018 | C22 | — | 8 | 4 | no | — |
| 1019 | C22 | — | 8 | 2 | no | — |
| 1020 | C22 | — | 8 | 4 | no | — |
| 1021 | C22 | — | 8 | 4 | no | — |
| 1022 | C22 | — | 16 | 1 | no | — |
| 1023 | C22 | — | 16 | 1 | no | — |
| 1024 | C22 | — | 16 | 8 | no | — |
| 1025 | C22 | — | 16 | 1 | no | — |
| 1026 | C22 | — | 16 | 1 | no | — |
| 1027 | C22 | #23682 | 1 | 4 | yes | — |
| 1028 | C22 | C2×#3036 | 1 | 1 | yes | characteristic |
| 1029 | C22 | C2×#3109 | 1 | 1 | yes | characteristic |
| 1030 | C22 | C2×#3184 | 1 | 1 | yes | characteristic |
| 1031 | C4 | — | 4 | 2 | no | — |
| 1032 | C4 | — | 4 | 2 | no | — |
| 1033 | C4 | — | 4 | 2 | no | — |
| 1034 | C4 | — | 4 | 2 | no | — |
| 1035 | C4 | — | 8 | 2 | no | — |
| 1036 | C4 | — | 8 | 2 | no | — |
| 1037 | C4 | — | 8 | 2 | no | — |
| 1038 | C4 | — | 8 | 4 | no | — |
| 1039 | C4 | — | 8 | 2 | no | — |
| 1040 | C4 | — | 16 | 2 | no | — |
| 1041 | C4 | — | 16 | 2 | no | — |
| 1042 | C4 | #23682 | 1 | 4 | yes | — |
| 1043 | C4 | C2×#2392 | 1 | 1 | yes | characteristic |
| 1044 | C4 | C2×#3038 | 1 | 1 | yes | characteristic |
| 1045 | C4 | C2×#3114 | 1 | 1 | yes | characteristic |
| 1046 | C4 | C2×#3180 | 1 | 1 | yes | characteristic |
| 1047 | C2 | — | 2 | 1 | no | — |
| 1048 | C2 | — | 2 | 1 | no | — |
| 1049 | C2 | — | 2 | 4 | no | — |
| 1050 | C2 | — | 16 | 2 | no | — |
| 1051 | C2 | — | 16 | 4 | no | — |
| 1052 | C2 | C2×#23682 | 1 | 1 | yes | characteristic |
| 1053 | C2 | #7623148 | 1 | 1 | yes | characteristic |
| 1054 | C2 | #7623149 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C2×#3109 |
| commutator, Frattini, cosocle | C22×C8 | C25 |
| prime radical | #498869 | C2 |
| LCS | G ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C23×C4 ◁ #20331 ◁ G | |
| LECS | G ▷ C22×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#33468 | C2 | semidirect |
| 2. #6373791 | C2 | semidirect |
| 3. #6372119 | C2 | semidirect |
| 4. #499477 | C2 | semidirect |
| 5. #499476 | C2 | semidirect |
| 6. #499475 | C2 | semidirect |
| 7. #499474 | C2 | semidirect |
| 8. #499424 | C2 | semidirect |
| 9. #499364 | C2 | semidirect |
| 10. #499306 | C2 | semidirect |
| 11. #499185 | C2 | semidirect |
| 12. #499073 | C2 | semidirect |
| 14. #493109 | C2 | semidirect |
| 15. C2×#12650 | C2 | semidirect |
| 24. C2×AGL(1,ℤ/16) | C22 | semidirect |
| 25. C2×AGL(1,ℤ/16) | C22 | semidirect |
| 26. C2×#2180 | C22 | semidirect |
| 27. C2×#2180 | C22 | semidirect |
| 40. #21290 | C22 | semidirect |
| 41. #21289 | C22 | semidirect |
| 43. #21287 | C22 | semidirect |
| 44. #21286 | C22 | semidirect |
| 58. #13510 | C22 | semidirect |
| 59. #13510 | C22 | semidirect |
| 60. #13488 | C22 | semidirect |
| 61. #13487 | C22 | semidirect |
| 62. #13467 | C22 | semidirect |
| 63. #13467 | C22 | semidirect |
| 64. #13446 | C22 | semidirect |
| 65. #13445 | C22 | semidirect |
| 70. #12660 | C22 | semidirect |
| 71. #12659 | C22 | semidirect |
| 72. #12650 | C22 | semidirect |
| 73. #12650 | C22 | semidirect |
| 108. #2943 | D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#33468 | 2 |
| #6373791 | 2 |
| #6372119 | 2 |
| #499477 | 2 |
| #499476 | 2 |
| #499475 | 2 |
| #499474 | 2 |
| #499424 | 2 |
| #499364 | 2 |
| #499306 | 2 |
| #499185 | 2 |
| #499073 | 2 |
| #498869 | 2 |
| #493109 | 2 |
| C2×#12650 | 2 |