Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
3543 conjugacy classes of subgroups.
The subgroup lattice has 888 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C22×AGL(1,ℤ/16) | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #6373791 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #6372120 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #499476 | C2 | 1 | 8 | yes | maximal, complemented |
| 5 | #499474 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #499423 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #499362 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #499305 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #499183 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #499074 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #498867 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #493109 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #493084 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | C22×#509 | C22 | 1 | 2 | yes | — |
| 15 | #60643 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×#2955 | — | 2 | 1 | no | — |
| 17 | C22×#444 | C22 | 1 | 2 | yes | — |
| 18 | C22×#442 | C22 | 1 | 1 | yes | characteristic |
| 19 | #60140 | — | 2 | 1 | no | — |
| 20 | #34058 | — | 2 | 1 | no | — |
| 21 | C2×AGL(1,ℤ/16) | — | 2 | 16 | no | — |
| 22 | C2×AGL(1,ℤ/16) | C22 | 1 | 8 | yes | complemented |
| 23 | C2×AGL(1,ℤ/16) | C22 | 1 | 8 | yes | complemented |
| 24 | C22×#365 | C22 | 1 | 2 | yes | — |
| 25 | C2×#2153 | C22 | 1 | 2 | yes | — |
| 26 | C22×#361 | C22 | 1 | 2 | yes | — |
| 27 | C2×#2145 | C22 | 1 | 2 | yes | — |
| 28 | C22×#360 | C22 | 1 | 2 | yes | — |
| 29 | #33380 | C22 | 1 | 2 | yes | — |
| 30 | C22×#347 | C22 | 1 | 2 | yes | — |
| 31 | #21710 | C22 | 1 | 4 | yes | complemented |
| 32 | #21709 | C22 | 1 | 4 | yes | complemented |
| 33 | #21707 | — | 2 | 2 | no | — |
| 34 | #21706 | — | 2 | 2 | no | — |
| 35 | #21290 | — | 2 | 2 | no | — |
| 36 | #21290 | C22 | 1 | 4 | yes | complemented |
| 37 | #21286 | — | 2 | 2 | no | — |
| 38 | #21286 | C22 | 1 | 4 | yes | complemented |
| 39 | #21241 | — | 2 | 1 | no | — |
| 40 | #21240 | C22 | 1 | 2 | yes | — |
| 41 | #21233 | C22 | 1 | 1 | yes | characteristic |
| 42 | #21233 | C22 | 1 | 1 | yes | characteristic |
| 43 | #21210 | — | 2 | 1 | no | — |
| 44 | #21157 | C22 | 1 | 1 | yes | characteristic |
| 45 | #21157 | C22 | 1 | 1 | yes | characteristic |
| 46 | #21089 | — | 2 | 1 | no | — |
| 47 | #21089 | — | 2 | 1 | no | — |
| 48 | #20807 | C22 | 1 | 1 | yes | characteristic |
| 49 | #20451 | C22 | 1 | 1 | yes | characteristic |
| 50 | C4×#418 | — | 2 | 1 | no | — |
| 51 | #20331 | C22 | 1 | 1 | yes | characteristic |
| 52 | #13510 | C22 | 1 | 8 | yes | complemented |
| 53 | #13487 | C22 | 1 | 8 | yes | complemented |
| 54 | #13467 | C22 | 1 | 16 | yes | complemented |
| 55 | #13445 | C22 | 1 | 16 | yes | complemented |
| 56 | #13410 | C22 | 1 | 8 | yes | complemented |
| 57 | #13341 | C22 | 1 | 8 | yes | — |
| 58 | #12660 | C22 | 1 | 4 | yes | complemented |
| 59 | #12659 | C22 | 1 | 4 | yes | complemented |
| 60 | #12650 | C22 | 1 | 8 | yes | complemented |
| 61 | #12650 | C22 | 1 | 8 | yes | complemented |
| 62 | #12569 | C22 | 1 | 2 | yes | — |
| 63 | #12563 | C22 | 1 | 2 | yes | — |
| 64 | #12551 | C22 | 1 | 1 | yes | characteristic |
| 65 | #12551 | C22 | 1 | 1 | yes | characteristic |
| 66 | C2×#575 | — | 2 | 1 | no | — |
| 67 | C22×#135 | C23 | 1 | 2 | yes | — |
| 68 | C23×D8 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×#131 | — | 2 | 2 | no | — |
| 70 | #3449 | — | 2 | 1 | no | — |
| 71 | C22×C4×D4 | — | 2 | 1 | no | — |
| 72 | C2×#509 | — | 2 | 8 | no | — |
| 73 | C2×#509 | — | 2 | 4 | no | — |
| 74 | C2×#509 | — | 2 | 8 | no | — |
| 75 | C2×#509 | C23 | 1 | 8 | yes | — |
| 76 | C22×SD32 | — | 2 | 2 | no | — |
| 77 | C22×D16 | — | 2 | 2 | no | — |
| 78 | C22×M32 | C23 | 1 | 2 | yes | — |
| 79 | C22×M32 | C23 | 1 | 2 | yes | — |
| 80 | #3156 | — | 2 | 2 | no | — |
| 81 | #3155 | — | 2 | 2 | no | — |
| 82 | #3154 | — | 2 | 4 | no | — |
| 83 | #3150 | C23 | 1 | 4 | yes | — |
| 84 | #3147 | — | 2 | 2 | no | — |
| 85 | #2955 | — | 4 | 8 | no | — |
| 86 | C2×#444 | — | 2 | 2 | no | — |
| 87 | C2×#444 | — | 2 | 2 | no | — |
| 88 | C2×#444 | — | 2 | 4 | no | — |
| 89 | C2×#444 | — | 2 | 8 | no | — |
| 90 | C2×#444 | — | 2 | 8 | no | — |
| 91 | C2×#444 | C23 | 1 | 4 | yes | — |
| 92 | C2×#444 | C23 | 1 | 4 | yes | — |
| 93 | C2×#443 | — | 2 | 4 | no | — |
| 94 | C2×#442 | — | 2 | 1 | no | — |
| 95 | C2×#442 | — | 2 | 1 | no | — |
| 96 | C2×#442 | — | 2 | 4 | no | — |
| 97 | C2×#442 | D4 | 1 | 8 | yes | complemented |
| 98 | C2×#442 | C23 | 1 | 2 | yes | — |
| 99 | C2×#442 | C23 | 1 | 2 | yes | — |
| 100 | #2932 | — | 2 | 4 | no | — |
| 101 | #2931 | — | 2 | 4 | no | — |
| 102 | #2930 | — | 4 | 4 | no | — |
| 103 | #2929 | — | 4 | 4 | no | — |
| 104 | C2×#430 | — | 2 | 1 | no | — |
| 105 | C22×#108 | C23 | 1 | 2 | yes | — |
| 106 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×#427 | C23 | 1 | 1 | yes | characteristic |
| 108 | C22×#106 | C23 | 1 | 1 | yes | characteristic |
| 109 | #2905 | — | 2 | 1 | no | — |
| 110 | C2×#421 | — | 2 | 2 | no | — |
| 111 | C22×#104 | — | 2 | 2 | no | — |
| 112 | C2×#418 | — | 2 | 1 | no | — |
| 113 | C2×#418 | — | 2 | 1 | no | — |
| 114 | C22×#102 | — | 2 | 1 | no | — |
| 115 | #2879 | — | 2 | 2 | no | — |
| 116 | C2×#405 | D4 | 1 | 1 | yes | characteristic |
| 117 | C2×#405 | D4 | 1 | 1 | yes | characteristic |
| 118 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 120 | C2×C4×M16 | D4 | 1 | 1 | yes | characteristic |
| 121 | C22×#97 | C23 | 1 | 1 | yes | characteristic |
| 122 | #2319 | — | 2 | 4 | no | — |
| 123 | #2319 | — | 4 | 2 | no | — |
| 124 | #2316 | — | 2 | 1 | no | — |
| 125 | #2316 | — | 2 | 1 | no | — |
| 126 | #2312 | — | 4 | 2 | no | — |
| 127 | #2309 | — | 2 | 1 | no | — |
| 128 | #2309 | — | 2 | 1 | no | — |
| 129 | #2293 | — | 2 | 4 | no | — |
| 130 | #2293 | — | 4 | 2 | no | — |
| 131 | #2280 | — | 4 | 2 | no | — |
| 132 | C4×#117 | — | 2 | 1 | no | — |
| 133 | C4×#117 | D4 | 1 | 1 | yes | characteristic |
| 134 | AGL(1,ℤ/16) | — | 2 | 32 | no | — |
| 135 | AGL(1,ℤ/16) | — | 2 | 32 | no | — |
| 136 | C2×#365 | — | 2 | 8 | no | — |
| 137 | C2×#365 | C23 | 1 | 8 | yes | — |
| 138 | #2153 | — | 2 | 8 | no | — |
| 139 | C2×#364 | C23 | 1 | 8 | yes | — |
| 140 | C2×#361 | — | 2 | 8 | no | — |
| 141 | C2×#361 | C23 | 1 | 8 | yes | — |
| 142 | #2145 | — | 2 | 8 | no | — |
| 143 | C2×#360 | — | 2 | 8 | no | — |
| 144 | C2×#360 | C23 | 1 | 8 | yes | — |
| 145 | C2×#360 | C23 | 1 | 8 | yes | — |
| 146 | #2141 | — | 2 | 2 | no | — |
| 147 | #2140 | — | 2 | 2 | no | — |
| 148 | #2139 | C23 | 1 | 8 | yes | — |
| 149 | #2138 | — | 2 | 4 | no | — |
| 150 | C2×#347 | — | 2 | 8 | no | — |
| 151 | C2×#347 | C23 | 1 | 4 | yes | — |
| 152 | C2×#347 | C23 | 1 | 4 | yes | — |
| 153 | #1975 | — | 2 | 4 | no | — |
| 154 | #1975 | — | 2 | 4 | no | — |
| 155 | #1974 | — | 2 | 4 | no | — |
| 156 | #1974 | C23 | 1 | 8 | yes | — |
| 157 | #1972 | — | 2 | 2 | no | — |
| 158 | #1972 | C23 | 1 | 4 | yes | — |
| 159 | #1970 | — | 2 | 2 | no | — |
| 160 | #1970 | C23 | 1 | 4 | yes | — |
| 161 | #1963 | — | 2 | 4 | no | — |
| 162 | #1962 | — | 2 | 4 | no | — |
| 163 | #1944 | — | 2 | 2 | no | — |
| 164 | #1944 | C23 | 1 | 4 | yes | — |
| 165 | #1941 | — | 2 | 2 | no | — |
| 166 | #1941 | C23 | 1 | 4 | yes | — |
| 167 | #1936 | — | 2 | 4 | no | — |
| 168 | #1936 | — | 2 | 4 | no | — |
| 169 | #1934 | — | 2 | 4 | no | — |
| 170 | #1934 | — | 2 | 4 | no | — |
| 171 | #1849 | C23 | 1 | 4 | yes | — |
| 172 | #1848 | — | 2 | 2 | no | — |
| 173 | #1776 | — | 2 | 1 | no | — |
| 174 | #1776 | — | 2 | 1 | no | — |
| 175 | #1776 | C23 | 1 | 2 | yes | — |
| 176 | #1776 | C23 | 1 | 2 | yes | — |
| 177 | #1762 | — | 2 | 4 | no | — |
| 178 | C4×#102 | — | 2 | 4 | no | — |
| 179 | #1736 | — | 2 | 1 | no | — |
| 180 | #1736 | — | 2 | 1 | no | — |
| 181 | #1735 | — | 2 | 1 | no | — |
| 182 | #1726 | D4 | 1 | 2 | yes | — |
| 183 | #1726 | C23 | 1 | 2 | yes | — |
| 184 | C4×#97 | D4 | 1 | 2 | yes | — |
| 185 | C4×#97 | C23 | 1 | 2 | yes | — |
| 186 | #1387 | C23 | 1 | 8 | yes | — |
| 187 | #1383 | C23 | 1 | 8 | yes | — |
| 188 | #1377 | C23 | 1 | 4 | yes | — |
| 189 | #1377 | C23 | 1 | 4 | yes | — |
| 190 | C22×#41 | — | 2 | 2 | no | — |
| 191 | C23×D4 | — | 2 | 1 | no | — |
| 192 | C24×C4 | — | 4 | 1 | no | — |
| 193 | #575 | — | 4 | 4 | no | — |
| 194 | #575 | — | 4 | 4 | no | — |
| 195 | C2×#137 | — | 2 | 4 | no | — |
| 196 | C2×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 197 | C2×#135 | — | 2 | 2 | no | — |
| 198 | C2×#135 | — | 2 | 4 | no | — |
| 199 | C2×#135 | — | 2 | 4 | no | — |
| 200 | C2×#135 | — | 2 | 2 | no | — |
| 201 | C2×#135 | — | 2 | 4 | no | — |
| 202 | C2×#135 | — | 2 | 4 | no | — |
| 203 | C2×#135 | — | 2 | 4 | no | — |
| 204 | C2×#135 | #41 | 1 | 4 | yes | — |
| 205 | C2×#135 | C24 | 1 | 4 | yes | — |
| 206 | C22×Q16 | #41 | 1 | 2 | yes | — |
| 207 | C22×SD16 | — | 2 | 2 | no | — |
| 208 | C22×D8 | — | 2 | 1 | no | — |
| 209 | C22×D8 | — | 2 | 2 | no | — |
| 210 | C22×D8 | — | 2 | 2 | no | — |
| 211 | C22×D8 | — | 2 | 4 | no | — |
| 212 | C22×D8 | — | 2 | 2 | no | — |
| 213 | C22×D8 | C2×D4 | 1 | 4 | yes | — |
| 214 | C22×D8 | #41 | 1 | 2 | yes | — |
| 215 | C22×D8 | C24 | 1 | 2 | yes | — |
| 216 | C2×#131 | — | 2 | 4 | no | — |
| 217 | C2×#131 | — | 2 | 4 | no | — |
| 218 | C2×#131 | — | 4 | 2 | no | — |
| 219 | C2×#131 | — | 4 | 2 | no | — |
| 220 | C2×#131 | — | 4 | 8 | no | — |
| 221 | C2×#131 | — | 4 | 8 | no | — |
| 222 | C22×M16 | — | 2 | 2 | no | — |
| 223 | C22×M16 | — | 4 | 2 | no | — |
| 224 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 226 | C23×C8 | — | 4 | 2 | no | — |
| 227 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 228 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 229 | #537 | — | 4 | 2 | no | — |
| 230 | #536 | — | 2 | 4 | no | — |
| 231 | #535 | — | 2 | 4 | no | — |
| 232 | #534 | — | 4 | 2 | no | — |
| 233 | #532 | — | 2 | 4 | no | — |
| 234 | #525 | — | 4 | 4 | no | — |
| 235 | C2×C4×D4 | — | 2 | 8 | no | — |
| 236 | C2×C4×D4 | — | 2 | 2 | no | — |
| 237 | C2×C4×D4 | — | 2 | 2 | no | — |
| 238 | C2×C4×D4 | — | 4 | 1 | no | — |
| 239 | C2×C4×D4 | — | 4 | 4 | no | — |
| 240 | C2×C4×D4 | — | 4 | 1 | no | — |
| 241 | C2×#117 | — | 2 | 1 | no | — |
| 242 | C2×#117 | — | 2 | 1 | no | — |
| 243 | C2×#117 | — | 4 | 4 | no | — |
| 244 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C22×C4⋊C4 | — | 2 | 1 | no | — |
| 247 | C22×C22⋊C4 | — | 4 | 1 | no | — |
| 248 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | #509 | — | 2 | 32 | no | — |
| 250 | #509 | — | 2 | 16 | no | — |
| 251 | #509 | — | 2 | 16 | no | — |
| 252 | C2×SD32 | — | 2 | 16 | no | — |
| 253 | C2×SD32 | — | 2 | 8 | no | — |
| 254 | C2×D16 | — | 2 | 16 | no | — |
| 255 | C2×D16 | — | 2 | 8 | no | — |
| 256 | C2×M32 | — | 2 | 4 | no | — |
| 257 | C2×M32 | — | 2 | 2 | no | — |
| 258 | C2×M32 | — | 2 | 2 | no | — |
| 259 | C2×M32 | — | 2 | 4 | no | — |
| 260 | C2×M32 | — | 2 | 4 | no | — |
| 261 | C2×M32 | #41 | 1 | 8 | yes | — |
| 262 | C2×M32 | C24 | 1 | 4 | yes | — |
| 263 | C2×M32 | C24 | 1 | 4 | yes | — |
| 264 | C22×C16 | — | 2 | 2 | no | — |
| 265 | C22×C16 | — | 2 | 2 | no | — |
| 266 | #497 | — | 2 | 8 | no | — |
| 267 | #496 | — | 2 | 8 | no | — |
| 268 | #495 | — | 2 | 4 | no | — |
| 269 | #495 | — | 2 | 4 | no | — |
| 270 | #494 | — | 2 | 2 | no | — |
| 271 | #493 | — | 2 | 2 | no | — |
| 272 | #492 | — | 2 | 4 | no | — |
| 273 | #444 | — | 2 | 8 | no | — |
| 274 | #444 | — | 2 | 8 | no | — |
| 275 | #444 | — | 2 | 8 | no | — |
| 276 | #444 | — | 2 | 8 | no | — |
| 277 | #444 | — | 4 | 16 | no | — |
| 278 | #444 | — | 4 | 8 | no | — |
| 279 | #444 | — | 4 | 8 | no | — |
| 280 | #443 | — | 4 | 16 | no | — |
| 281 | #442 | — | 2 | 8 | no | — |
| 282 | #442 | — | 2 | 8 | no | — |
| 283 | #442 | — | 2 | 4 | no | — |
| 284 | #442 | — | 2 | 4 | no | — |
| 285 | #442 | C2×D4 | 1 | 8 | yes | — |
| 286 | #442 | C2×D4 | 1 | 8 | yes | — |
| 287 | #436 | — | 4 | 8 | no | — |
| 288 | #435 | — | 4 | 16 | no | — |
| 289 | C8×D4 | — | 4 | 8 | no | — |
| 290 | #430 | — | 4 | 4 | no | — |
| 291 | C2×#108 | — | 2 | 4 | no | — |
| 292 | C2×#108 | — | 2 | 4 | no | — |
| 293 | C2×#108 | — | 2 | 2 | no | — |
| 294 | C2×#108 | — | 2 | 4 | no | — |
| 295 | C2×#108 | C24 | 1 | 4 | yes | — |
| 296 | #427 | — | 2 | 4 | no | — |
| 297 | #427 | — | 2 | 2 | no | — |
| 298 | #427 | — | 2 | 2 | no | — |
| 299 | C2×#107 | — | 2 | 1 | no | — |
| 300 | C2×#107 | C24 | 1 | 2 | yes | — |
| 301 | C2×#106 | — | 2 | 1 | no | — |
| 302 | C2×#106 | — | 2 | 2 | no | — |
| 303 | C2×#106 | — | 2 | 1 | no | — |
| 304 | C2×#106 | C2×D4 | 1 | 4 | yes | — |
| 305 | C2×#106 | C24 | 1 | 2 | yes | — |
| 306 | C2×#106 | C24 | 1 | 2 | yes | — |
| 307 | #424 | — | 4 | 4 | no | — |
| 308 | #423 | — | 2 | 4 | no | — |
| 309 | #421 | — | 4 | 8 | no | — |
| 310 | C2×#104 | — | 2 | 4 | no | — |
| 311 | C2×#104 | — | 2 | 4 | no | — |
| 312 | C2×#104 | — | 2 | 8 | no | — |
| 313 | C2×#104 | — | 4 | 8 | no | — |
| 314 | #418 | — | 4 | 4 | no | — |
| 315 | #418 | — | 4 | 4 | no | — |
| 316 | C2×#102 | — | 2 | 8 | no | — |
| 317 | C2×#102 | — | 2 | 2 | no | — |
| 318 | C2×#102 | — | 2 | 2 | no | — |
| 319 | C2×#102 | — | 2 | 4 | no | — |
| 320 | C2×#102 | — | 2 | 4 | no | — |
| 321 | #408 | — | 2 | 8 | no | — |
| 322 | #408 | — | 4 | 4 | no | — |
| 323 | #407 | — | 4 | 4 | no | — |
| 324 | #405 | — | 2 | 4 | no | — |
| 325 | #405 | — | 2 | 4 | no | — |
| 326 | #405 | — | 2 | 2 | no | — |
| 327 | #405 | — | 2 | 2 | no | — |
| 328 | #405 | — | 2 | 4 | no | — |
| 329 | C4×M16 | — | 4 | 2 | no | — |
| 330 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 331 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 332 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 333 | C2×#97 | C2×D4 | 1 | 2 | yes | — |
| 334 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 335 | C2×#97 | C2×D4 | 1 | 1 | yes | characteristic |
| 336 | C2×#97 | C2×D4 | 1 | 4 | yes | — |
| 337 | C2×#97 | #41 | 1 | 4 | yes | — |
| 338 | C2×#97 | C24 | 1 | 2 | yes | — |
| 339 | C2×#97 | C24 | 1 | 1 | yes | characteristic |
| 340 | C2×#97 | C24 | 1 | 1 | yes | characteristic |
| 341 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 342 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 343 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 344 | C2×C4×C8 | C2×D4 | 1 | 2 | yes | — |
| 345 | C2×C4×C8 | C24 | 1 | 2 | yes | — |
| 346 | #390 | — | 2 | 4 | no | — |
| 347 | #390 | — | 2 | 4 | no | — |
| 348 | #390 | — | 4 | 2 | no | — |
| 349 | #390 | — | 4 | 2 | no | — |
| 350 | #389 | — | 2 | 4 | no | — |
| 351 | #389 | — | 2 | 4 | no | — |
| 352 | #389 | — | 4 | 2 | no | — |
| 353 | #389 | — | 4 | 2 | no | — |
| 354 | #388 | — | 4 | 4 | no | — |
| 355 | #388 | — | 4 | 4 | no | — |
| 356 | #388 | — | 4 | 4 | no | — |
| 357 | #388 | — | 4 | 4 | no | — |
| 358 | #381 | — | 4 | 4 | no | — |
| 359 | #380 | — | 4 | 4 | no | — |
| 360 | #380 | — | 4 | 2 | no | — |
| 361 | #380 | — | 4 | 2 | no | — |
| 362 | #379 | — | 4 | 2 | no | — |
| 363 | #379 | — | 4 | 2 | no | — |
| 364 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 365 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 366 | C4×C4⋊C4 | — | 2 | 2 | no | — |
| 367 | C4×C22⋊C4 | — | 2 | 2 | no | — |
| 368 | C4×C22⋊C4 | — | 4 | 4 | no | — |
| 369 | C4×C22⋊C4 | — | 4 | 1 | no | — |
| 370 | C4×C22⋊C4 | — | 4 | 1 | no | — |
| 371 | #376 | — | 4 | 1 | no | — |
| 372 | #376 | C2×D4 | 1 | 2 | yes | — |
| 373 | C43 | — | 4 | 1 | no | — |
| 374 | C43 | C2×D4 | 1 | 2 | yes | — |
| 375 | #365 | — | 2 | 16 | no | — |
| 376 | #364 | — | 2 | 16 | no | — |
| 377 | #361 | — | 2 | 16 | no | — |
| 378 | #360 | — | 2 | 16 | no | — |
| 379 | #360 | — | 2 | 16 | no | — |
| 380 | #358 | — | 2 | 8 | no | — |
| 381 | #357 | — | 2 | 8 | no | — |
| 382 | #347 | — | 2 | 8 | no | — |
| 383 | #347 | — | 2 | 8 | no | — |
| 384 | #340 | — | 2 | 2 | no | — |
| 385 | #340 | — | 2 | 2 | no | — |
| 386 | #340 | — | 2 | 4 | no | — |
| 387 | #340 | — | 2 | 4 | no | — |
| 388 | C25 | — | 4 | 1 | no | — |
| 389 | C2×#41 | — | 2 | 4 | no | — |
| 390 | C2×#41 | — | 2 | 4 | no | — |
| 391 | C2×#41 | — | 4 | 2 | no | — |
| 392 | C2×#41 | — | 4 | 2 | no | — |
| 393 | C2×#41 | — | 4 | 4 | no | — |
| 394 | C2×#41 | — | 4 | 4 | no | — |
| 395 | C2×#41 | — | 4 | 4 | no | — |
| 396 | C2×#41 | — | 4 | 4 | no | — |
| 397 | C22×Q8 | — | 2 | 2 | no | — |
| 398 | C22×D4 | — | 2 | 4 | no | — |
| 399 | C22×D4 | — | 2 | 2 | no | — |
| 400 | C22×D4 | — | 2 | 2 | no | — |
| 401 | C22×D4 | — | 4 | 2 | no | — |
| 402 | C22×D4 | — | 4 | 2 | no | — |
| 403 | C22×D4 | — | 4 | 2 | no | — |
| 404 | C22×D4 | — | 4 | 2 | no | — |
| 405 | C22×D4 | — | 4 | 2 | no | — |
| 406 | C22×D4 | — | 4 | 1 | no | — |
| 407 | C22×D4 | — | 4 | 2 | no | — |
| 408 | C23×C4 | — | 2 | 1 | no | — |
| 409 | C23×C4 | — | 4 | 2 | no | — |
| 410 | C23×C4 | — | 4 | 8 | no | — |
| 411 | C23×C4 | — | 4 | 2 | no | — |
| 412 | C23×C4 | — | 4 | 1 | no | — |
| 413 | C23×C4 | — | 4 | 2 | no | — |
| 414 | C23×C4 | — | 16 | 4 | no | — |
| 415 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 416 | #137 | — | 4 | 16 | no | — |
| 417 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 418 | #135 | — | 2 | 8 | no | — |
| 419 | #135 | — | 2 | 8 | no | — |
| 420 | #135 | — | 2 | 4 | no | — |
| 421 | #135 | — | 2 | 4 | no | — |
| 422 | #135 | — | 2 | 4 | no | — |
| 423 | #135 | — | 2 | 4 | no | — |
| 424 | #135 | — | 4 | 8 | no | — |
| 425 | #135 | — | 4 | 4 | no | — |
| 426 | #135 | — | 4 | 4 | no | — |
| 427 | #135 | — | 4 | 4 | no | — |
| 428 | #135 | — | 4 | 4 | no | — |
| 429 | #135 | — | 4 | 8 | no | — |
| 430 | C2×Q16 | — | 2 | 4 | no | — |
| 431 | C2×Q16 | — | 2 | 4 | no | — |
| 432 | C2×Q16 | — | 2 | 2 | no | — |
| 433 | C2×Q16 | — | 2 | 4 | no | — |
| 434 | C2×Q16 | C2×#41 | 1 | 4 | yes | — |
| 435 | C2×SD16 | — | 2 | 8 | no | — |
| 436 | C2×SD16 | — | 2 | 4 | no | — |
| 437 | C2×SD16 | — | 2 | 4 | no | — |
| 438 | C2×SD16 | — | 4 | 4 | no | — |
| 439 | C2×SD16 | — | 4 | 4 | no | — |
| 440 | C2×D8 | — | 2 | 4 | no | — |
| 441 | C2×D8 | — | 2 | 4 | no | — |
| 442 | C2×D8 | — | 2 | 8 | no | — |
| 443 | C2×D8 | — | 2 | 8 | no | — |
| 444 | C2×D8 | — | 2 | 4 | no | — |
| 445 | C2×D8 | — | 2 | 2 | no | — |
| 446 | C2×D8 | — | 2 | 4 | no | — |
| 447 | C2×D8 | — | 2 | 4 | no | — |
| 448 | C2×D8 | — | 2 | 4 | no | — |
| 449 | C2×D8 | — | 2 | 2 | no | — |
| 450 | C2×D8 | — | 4 | 1 | no | — |
| 451 | C2×D8 | — | 4 | 1 | no | — |
| 452 | C2×D8 | — | 4 | 4 | no | — |
| 453 | C2×D8 | — | 4 | 4 | no | — |
| 454 | C2×D8 | — | 4 | 2 | no | — |
| 455 | C2×D8 | C22×D4 | 1 | 4 | yes | — |
| 456 | C2×D8 | C2×#41 | 1 | 4 | yes | — |
| 457 | #131 | — | 4 | 8 | no | — |
| 458 | #131 | — | 4 | 8 | no | — |
| 459 | #131 | — | 4 | 8 | no | — |
| 460 | #131 | — | 4 | 8 | no | — |
| 461 | #131 | — | 8 | 8 | no | — |
| 462 | #131 | — | 8 | 8 | no | — |
| 463 | C2×M16 | — | 2 | 2 | no | — |
| 464 | C2×M16 | — | 2 | 2 | no | — |
| 465 | C2×M16 | — | 2 | 2 | no | — |
| 466 | C2×M16 | — | 2 | 2 | no | — |
| 467 | C2×M16 | — | 2 | 4 | no | — |
| 468 | C2×M16 | — | 4 | 4 | no | — |
| 469 | C2×M16 | — | 4 | 4 | no | — |
| 470 | C2×M16 | — | 4 | 2 | no | — |
| 471 | C2×M16 | — | 4 | 4 | no | — |
| 472 | C2×M16 | — | 4 | 4 | no | — |
| 473 | C2×M16 | — | 8 | 8 | no | — |
| 474 | C2×M16 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 475 | C2×M16 | AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 476 | C22×C8 | — | 2 | 2 | no | — |
| 477 | C22×C8 | — | 2 | 2 | no | — |
| 478 | C22×C8 | — | 4 | 4 | no | — |
| 479 | C22×C8 | — | 4 | 4 | no | — |
| 480 | C22×C8 | — | 4 | 2 | no | — |
| 481 | C22×C8 | — | 8 | 8 | no | — |
| 482 | C22×C8 | #121 | 1 | 4 | yes | — |
| 483 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 484 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 485 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 486 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 487 | C22×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 488 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 489 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 490 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 491 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 492 | C22×C8 | C2×#41 | 1 | 4 | yes | — |
| 493 | C22×C8 | C25 | 1 | 1 | yes | characteristic |
| 494 | C4⋊Q8 | — | 2 | 4 | no | — |
| 495 | #127 | — | 2 | 4 | no | — |
| 496 | #124 | — | 2 | 8 | no | — |
| 497 | #123 | — | 4 | 8 | no | — |
| 498 | C22⋊Q8 | — | 4 | 8 | no | — |
| 499 | #121 | — | 4 | 8 | no | — |
| 500 | #121 | — | 4 | 8 | no | — |
| 501 | #120 | — | 4 | 8 | no | — |
| 502 | C4×D4 | — | 2 | 8 | no | — |
| 503 | C4×D4 | — | 2 | 8 | no | — |
| 504 | C4×D4 | — | 4 | 8 | no | — |
| 505 | C4×D4 | — | 4 | 8 | no | — |
| 506 | C4×D4 | — | 4 | 4 | no | — |
| 507 | C4×D4 | — | 4 | 4 | no | — |
| 508 | C4×D4 | — | 4 | 8 | no | — |
| 509 | #117 | — | 2 | 2 | no | — |
| 510 | #117 | — | 2 | 2 | no | — |
| 511 | #117 | — | 2 | 2 | no | — |
| 512 | #117 | — | 2 | 2 | no | — |
| 513 | #117 | — | 4 | 2 | no | — |
| 514 | #117 | — | 4 | 2 | no | — |
| 515 | #117 | — | 4 | 2 | no | — |
| 516 | #117 | — | 4 | 2 | no | — |
| 517 | #117 | — | 16 | 8 | no | — |
| 518 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 519 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 520 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 521 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 522 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 523 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 524 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 525 | C2×C4⋊C4 | — | 4 | 4 | no | — |
| 526 | C2×C4⋊C4 | — | 4 | 4 | no | — |
| 527 | C2×C4⋊C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 528 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 529 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 530 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 531 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 532 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 533 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 534 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 535 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 536 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 537 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 538 | C2×C22⋊C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 539 | C2×C42 | — | 2 | 1 | no | — |
| 540 | C2×C42 | — | 2 | 2 | no | — |
| 541 | C2×C42 | — | 2 | 4 | no | — |
| 542 | C2×C42 | — | 4 | 2 | no | — |
| 543 | C2×C42 | — | 4 | 1 | no | — |
| 544 | C2×C42 | — | 4 | 1 | no | — |
| 545 | C2×C42 | — | 4 | 2 | no | — |
| 546 | C2×C42 | #121 | 1 | 4 | yes | — |
| 547 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 548 | C2×C42 | C22×D4 | 1 | 2 | yes | — |
| 549 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 550 | C2×C42 | C22×D4 | 1 | 1 | yes | characteristic |
| 551 | SD32 | — | 2 | 32 | no | — |
| 552 | D16 | — | 2 | 32 | no | — |
| 553 | M32 | — | 2 | 8 | no | — |
| 554 | M32 | — | 2 | 4 | no | — |
| 555 | M32 | — | 2 | 4 | no | — |
| 556 | M32 | — | 2 | 4 | no | — |
| 557 | M32 | — | 4 | 4 | no | — |
| 558 | M32 | C2×#41 | 1 | 8 | yes | — |
| 559 | C2×C16 | — | 2 | 8 | no | — |
| 560 | C2×C16 | — | 2 | 4 | no | — |
| 561 | C2×C16 | — | 2 | 4 | no | — |
| 562 | C2×C16 | — | 4 | 4 | no | — |
| 563 | #108 | — | 2 | 4 | no | — |
| 564 | #108 | — | 2 | 4 | no | — |
| 565 | #108 | — | 4 | 4 | no | — |
| 566 | #108 | — | 4 | 8 | no | — |
| 567 | #107 | — | 2 | 4 | no | — |
| 568 | #107 | — | 4 | 2 | no | — |
| 569 | #106 | — | 2 | 4 | no | — |
| 570 | #106 | — | 2 | 2 | no | — |
| 571 | #106 | — | 2 | 4 | no | — |
| 572 | #106 | — | 4 | 1 | no | — |
| 573 | #106 | — | 4 | 1 | no | — |
| 574 | #106 | C22×D4 | 1 | 4 | yes | — |
| 575 | C4⋊C8 | — | 4 | 8 | no | — |
| 576 | #104 | — | 4 | 16 | no | — |
| 577 | #104 | — | 4 | 8 | no | — |
| 578 | #104 | — | 4 | 8 | no | — |
| 579 | #102 | — | 2 | 8 | no | — |
| 580 | #102 | — | 2 | 8 | no | — |
| 581 | #102 | — | 4 | 8 | no | — |
| 582 | #102 | — | 4 | 8 | no | — |
| 583 | C22⋊C8 | — | 4 | 16 | no | — |
| 584 | #97 | — | 2 | 4 | no | — |
| 585 | #97 | — | 2 | 4 | no | — |
| 586 | #97 | — | 2 | 4 | no | — |
| 587 | #97 | — | 2 | 4 | no | — |
| 588 | #97 | — | 4 | 2 | no | — |
| 589 | #97 | #121 | 1 | 4 | yes | — |
| 590 | #97 | #121 | 1 | 4 | yes | — |
| 591 | #97 | C22×D4 | 1 | 2 | yes | — |
| 592 | #97 | C22×D4 | 1 | 2 | yes | — |
| 593 | #97 | C2×#41 | 1 | 2 | yes | — |
| 594 | #97 | C2×#41 | 1 | 2 | yes | — |
| 595 | C4×C8 | — | 2 | 2 | no | — |
| 596 | C4×C8 | — | 2 | 2 | no | — |
| 597 | C4×C8 | — | 2 | 4 | no | — |
| 598 | C4×C8 | — | 2 | 4 | no | — |
| 599 | C4×C8 | — | 2 | 4 | no | — |
| 600 | C4×C8 | — | 4 | 2 | no | — |
| 601 | #95 | — | 2 | 4 | no | — |
| 602 | #95 | — | 4 | 2 | no | — |
| 603 | #95 | — | 4 | 2 | no | — |
| 604 | #95 | — | 4 | 4 | no | — |
| 605 | #95 | — | 4 | 4 | no | — |
| 606 | C24 | — | 4 | 2 | no | — |
| 607 | C24 | — | 4 | 2 | no | — |
| 608 | C24 | — | 4 | 4 | no | — |
| 609 | C24 | — | 8 | 2 | no | — |
| 610 | C24 | — | 8 | 2 | no | — |
| 611 | C24 | — | 16 | 2 | no | — |
| 612 | C24 | — | 16 | 2 | no | — |
| 613 | C24 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 614 | #41 | — | 4 | 8 | no | — |
| 615 | #41 | — | 4 | 8 | no | — |
| 616 | #41 | — | 4 | 4 | no | — |
| 617 | #41 | — | 4 | 4 | no | — |
| 618 | #41 | — | 4 | 4 | no | — |
| 619 | #41 | — | 4 | 4 | no | — |
| 620 | #41 | — | 8 | 4 | no | — |
| 621 | #41 | — | 8 | 4 | no | — |
| 622 | #41 | — | 8 | 4 | no | — |
| 623 | #41 | — | 8 | 4 | no | — |
| 624 | C2×Q8 | — | 2 | 4 | no | — |
| 625 | C2×Q8 | — | 4 | 2 | no | — |
| 626 | C2×Q8 | — | 4 | 4 | no | — |
| 627 | C2×Q8 | — | 4 | 4 | no | — |
| 628 | C2×D4 | — | 2 | 4 | no | — |
| 629 | C2×D4 | — | 2 | 4 | no | — |
| 630 | C2×D4 | — | 4 | 8 | no | — |
| 631 | C2×D4 | — | 4 | 4 | no | — |
| 632 | C2×D4 | — | 4 | 4 | no | — |
| 633 | C2×D4 | — | 4 | 2 | no | — |
| 634 | C2×D4 | — | 4 | 4 | no | — |
| 635 | C2×D4 | — | 4 | 8 | no | — |
| 636 | C2×D4 | — | 4 | 4 | no | — |
| 637 | C2×D4 | — | 4 | 2 | no | — |
| 638 | C2×D4 | — | 4 | 2 | no | — |
| 639 | C2×D4 | — | 4 | 4 | no | — |
| 640 | C2×D4 | — | 4 | 8 | no | — |
| 641 | C2×D4 | — | 4 | 2 | no | — |
| 642 | C2×D4 | — | 4 | 2 | no | — |
| 643 | C2×D4 | — | 4 | 2 | no | — |
| 644 | C2×D4 | — | 8 | 4 | no | — |
| 645 | C2×D4 | — | 8 | 4 | no | — |
| 646 | C2×D4 | — | 8 | 2 | no | — |
| 647 | C2×D4 | — | 8 | 4 | no | — |
| 648 | C2×D4 | — | 8 | 4 | no | — |
| 649 | C2×D4 | — | 8 | 2 | no | — |
| 650 | C22×C4 | — | 2 | 1 | no | — |
| 651 | C22×C4 | — | 2 | 1 | no | — |
| 652 | C22×C4 | — | 2 | 4 | no | — |
| 653 | C22×C4 | — | 2 | 2 | no | — |
| 654 | C22×C4 | — | 4 | 8 | no | — |
| 655 | C22×C4 | — | 4 | 8 | no | — |
| 656 | C22×C4 | — | 4 | 2 | no | — |
| 657 | C22×C4 | — | 4 | 2 | no | — |
| 658 | C22×C4 | — | 4 | 4 | no | — |
| 659 | C22×C4 | — | 4 | 4 | no | — |
| 660 | C22×C4 | — | 4 | 4 | no | — |
| 661 | C22×C4 | — | 4 | 2 | no | — |
| 662 | C22×C4 | — | 4 | 2 | no | — |
| 663 | C22×C4 | — | 8 | 2 | no | — |
| 664 | C22×C4 | — | 8 | 8 | no | — |
| 665 | C22×C4 | — | 8 | 4 | no | — |
| 666 | C22×C4 | — | 8 | 4 | no | — |
| 667 | C22×C4 | — | 16 | 4 | no | — |
| 668 | C22×C4 | — | 16 | 16 | no | — |
| 669 | C22×C4 | — | 16 | 2 | no | — |
| 670 | C22×C4 | C2×#121 | 1 | 2 | yes | — |
| 671 | C22×C4 | #525 | 1 | 2 | yes | — |
| 672 | C22×C4 | #532 | 1 | 2 | yes | — |
| 673 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 674 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 675 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 676 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 677 | C22×C4 | #575 | 1 | 2 | yes | — |
| 678 | C22×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 679 | Q16 | — | 2 | 4 | no | — |
| 680 | Q16 | — | 2 | 4 | no | — |
| 681 | Q16 | — | 4 | 8 | no | — |
| 682 | Q16 | — | 4 | 4 | no | — |
| 683 | SD16 | — | 4 | 16 | no | — |
| 684 | SD16 | — | 4 | 8 | no | — |
| 685 | SD16 | — | 4 | 4 | no | — |
| 686 | SD16 | — | 4 | 4 | no | — |
| 687 | D8 | — | 2 | 4 | no | — |
| 688 | D8 | — | 2 | 8 | no | — |
| 689 | D8 | — | 2 | 4 | no | — |
| 690 | D8 | — | 4 | 8 | no | — |
| 691 | D8 | — | 4 | 4 | no | — |
| 692 | D8 | — | 4 | 4 | no | — |
| 693 | D8 | — | 4 | 4 | no | — |
| 694 | D8 | — | 4 | 4 | no | — |
| 695 | M16 | — | 2 | 8 | no | — |
| 696 | M16 | — | 2 | 8 | no | — |
| 697 | M16 | — | 4 | 4 | no | — |
| 698 | M16 | — | 4 | 4 | no | — |
| 699 | M16 | — | 8 | 8 | no | — |
| 700 | M16 | — | 8 | 8 | no | — |
| 701 | M16 | — | 8 | 4 | no | — |
| 702 | C2×C8 | — | 2 | 2 | no | — |
| 703 | C2×C8 | — | 2 | 2 | no | — |
| 704 | C2×C8 | — | 2 | 8 | no | — |
| 705 | C2×C8 | — | 2 | 1 | no | — |
| 706 | C2×C8 | — | 2 | 1 | no | — |
| 707 | C2×C8 | — | 2 | 1 | no | — |
| 708 | C2×C8 | — | 2 | 1 | no | — |
| 709 | C2×C8 | — | 2 | 2 | no | — |
| 710 | C2×C8 | — | 2 | 2 | no | — |
| 711 | C2×C8 | — | 4 | 4 | no | — |
| 712 | C2×C8 | — | 8 | 8 | no | — |
| 713 | C2×C8 | — | 8 | 8 | no | — |
| 714 | C2×C8 | — | 8 | 4 | no | — |
| 715 | C2×C8 | C2×#121 | 1 | 2 | yes | — |
| 716 | C2×C8 | C2×#121 | 1 | 2 | yes | — |
| 717 | C2×C8 | C2×#121 | 1 | 2 | yes | — |
| 718 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 719 | C2×C8 | #525 | 1 | 1 | yes | characteristic |
| 720 | C2×C8 | #525 | 1 | 4 | yes | — |
| 721 | C2×C8 | #525 | 1 | 4 | yes | — |
| 722 | C2×C8 | #529 | 1 | 4 | yes | — |
| 723 | C2×C8 | #529 | 1 | 4 | yes | — |
| 724 | C2×C8 | #532 | 1 | 2 | yes | — |
| 725 | C2×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 726 | C2×C8 | C2×AGL(1,ℤ/8) | 1 | 4 | yes | — |
| 727 | C2×C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 728 | C2×C8 | C22×#41 | 1 | 2 | yes | — |
| 729 | C2×C8 | C22×#41 | 1 | 2 | yes | — |
| 730 | C2×C8 | C22×#41 | 1 | 1 | yes | characteristic |
| 731 | C4⋊C4 | — | 2 | 4 | no | — |
| 732 | C4⋊C4 | — | 2 | 4 | no | — |
| 733 | C4⋊C4 | — | 4 | 8 | no | — |
| 734 | C4⋊C4 | — | 4 | 2 | no | — |
| 735 | C4⋊C4 | — | 4 | 4 | no | — |
| 736 | C4⋊C4 | — | 4 | 2 | no | — |
| 737 | C4⋊C4 | — | 4 | 2 | no | — |
| 738 | C4⋊C4 | — | 4 | 2 | no | — |
| 739 | C4⋊C4 | — | 4 | 2 | no | — |
| 740 | C4⋊C4 | — | 4 | 2 | no | — |
| 741 | C4⋊C4 | — | 16 | 4 | no | — |
| 742 | C4⋊C4 | — | 16 | 4 | no | — |
| 743 | C22⋊C4 | — | 2 | 4 | no | — |
| 744 | C22⋊C4 | — | 4 | 8 | no | — |
| 745 | C22⋊C4 | — | 4 | 8 | no | — |
| 746 | C22⋊C4 | — | 4 | 16 | no | — |
| 747 | C22⋊C4 | — | 4 | 2 | no | — |
| 748 | C22⋊C4 | — | 8 | 2 | no | — |
| 749 | C22⋊C4 | — | 8 | 2 | no | — |
| 750 | C22⋊C4 | — | 16 | 4 | no | — |
| 751 | C22⋊C4 | — | 16 | 4 | no | — |
| 752 | C22⋊C4 | — | 16 | 4 | no | — |
| 753 | C22⋊C4 | — | 16 | 4 | no | — |
| 754 | C42 | — | 2 | 2 | no | — |
| 755 | C42 | — | 2 | 4 | no | — |
| 756 | C42 | — | 2 | 2 | no | — |
| 757 | C42 | — | 2 | 1 | no | — |
| 758 | C42 | — | 2 | 1 | no | — |
| 759 | C42 | — | 2 | 2 | no | — |
| 760 | C42 | — | 2 | 2 | no | — |
| 761 | C42 | — | 8 | 4 | no | — |
| 762 | C42 | — | 8 | 4 | no | — |
| 763 | C42 | — | 8 | 2 | no | — |
| 764 | C42 | — | 8 | 2 | no | — |
| 765 | C42 | — | 16 | 2 | no | — |
| 766 | C42 | C2×#121 | 1 | 2 | yes | — |
| 767 | C42 | C2×#121 | 1 | 2 | yes | — |
| 768 | C16 | — | 2 | 8 | no | — |
| 769 | C16 | — | 4 | 4 | no | — |
| 770 | C23 | — | 4 | 2 | no | — |
| 771 | C23 | — | 4 | 4 | no | — |
| 772 | C23 | — | 4 | 4 | no | — |
| 773 | C23 | — | 8 | 4 | no | — |
| 774 | C23 | — | 8 | 4 | no | — |
| 775 | C23 | — | 8 | 2 | no | — |
| 776 | C23 | — | 8 | 2 | no | — |
| 777 | C23 | — | 8 | 4 | no | — |
| 778 | C23 | — | 8 | 8 | no | — |
| 779 | C23 | — | 16 | 4 | no | — |
| 780 | C23 | — | 16 | 8 | no | — |
| 781 | C23 | — | 16 | 4 | no | — |
| 782 | C23 | — | 16 | 4 | no | — |
| 783 | C23 | — | 16 | 8 | no | — |
| 784 | C23 | #3036 | 1 | 2 | yes | — |
| 785 | C23 | #3109 | 1 | 2 | yes | — |
| 786 | C23 | #3184 | 1 | 2 | yes | — |
| 787 | C23 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 788 | Q8 | — | 4 | 4 | no | — |
| 789 | Q8 | — | 4 | 4 | no | — |
| 790 | Q8 | — | 8 | 4 | no | — |
| 791 | D4 | — | 4 | 4 | no | — |
| 792 | D4 | — | 4 | 4 | no | — |
| 793 | D4 | — | 4 | 4 | no | — |
| 794 | D4 | — | 4 | 4 | no | — |
| 795 | D4 | — | 8 | 4 | no | — |
| 796 | D4 | — | 8 | 8 | no | — |
| 797 | D4 | — | 8 | 4 | no | — |
| 798 | D4 | — | 8 | 2 | no | — |
| 799 | D4 | — | 8 | 2 | no | — |
| 800 | D4 | — | 8 | 8 | no | — |
| 801 | D4 | — | 8 | 4 | no | — |
| 802 | D4 | — | 16 | 8 | no | — |
| 803 | C2×C4 | — | 2 | 4 | no | — |
| 804 | C2×C4 | — | 2 | 2 | no | — |
| 805 | C2×C4 | — | 2 | 2 | no | — |
| 806 | C2×C4 | — | 4 | 2 | no | — |
| 807 | C2×C4 | — | 4 | 2 | no | — |
| 808 | C2×C4 | — | 4 | 4 | no | — |
| 809 | C2×C4 | — | 4 | 4 | no | — |
| 810 | C2×C4 | — | 4 | 2 | no | — |
| 811 | C2×C4 | — | 4 | 4 | no | — |
| 812 | C2×C4 | — | 4 | 4 | no | — |
| 813 | C2×C4 | — | 8 | 4 | no | — |
| 814 | C2×C4 | — | 8 | 16 | no | — |
| 815 | C2×C4 | — | 8 | 4 | no | — |
| 816 | C2×C4 | — | 8 | 4 | no | — |
| 817 | C2×C4 | — | 8 | 4 | no | — |
| 818 | C2×C4 | — | 8 | 8 | no | — |
| 819 | C2×C4 | — | 8 | 4 | no | — |
| 820 | C2×C4 | — | 8 | 2 | no | — |
| 821 | C2×C4 | — | 8 | 2 | no | — |
| 822 | C2×C4 | — | 8 | 2 | no | — |
| 823 | C2×C4 | — | 8 | 2 | no | — |
| 824 | C2×C4 | — | 8 | 2 | no | — |
| 825 | C2×C4 | — | 8 | 2 | no | — |
| 826 | C2×C4 | — | 16 | 8 | no | — |
| 827 | C2×C4 | — | 16 | 4 | no | — |
| 828 | C2×C4 | #2392 | 1 | 4 | yes | — |
| 829 | C2×C4 | #3036 | 1 | 2 | yes | — |
| 830 | C2×C4 | #3038 | 1 | 4 | yes | — |
| 831 | C2×C4 | #3109 | 1 | 2 | yes | — |
| 832 | C2×C4 | #3114 | 1 | 4 | yes | — |
| 833 | C2×C4 | #3180 | 1 | 4 | yes | — |
| 834 | C2×C4 | #3184 | 1 | 2 | yes | — |
| 835 | C2×C4 | C22×#121 | 1 | 1 | yes | characteristic |
| 836 | C2×C4 | C2×#525 | 1 | 1 | yes | characteristic |
| 837 | C2×C4 | C2×#532 | 1 | 1 | yes | characteristic |
| 838 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 839 | C2×C4 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 840 | C2×C4 | C2×#575 | 1 | 1 | yes | characteristic |
| 841 | C8 | — | 2 | 4 | no | — |
| 842 | C8 | — | 2 | 4 | no | — |
| 843 | C8 | — | 2 | 2 | no | — |
| 844 | C8 | — | 2 | 2 | no | — |
| 845 | C8 | — | 8 | 4 | no | — |
| 846 | C8 | #2392 | 1 | 2 | yes | — |
| 847 | C8 | #2392 | 1 | 2 | yes | — |
| 848 | C8 | C2×#525 | 1 | 2 | yes | — |
| 849 | C8 | C2×#529 | 1 | 2 | yes | — |
| 850 | C22 | — | 2 | 2 | no | — |
| 851 | C22 | — | 2 | 4 | no | — |
| 852 | C22 | — | 4 | 2 | no | — |
| 853 | C22 | — | 4 | 2 | no | — |
| 854 | C22 | — | 8 | 4 | no | — |
| 855 | C22 | — | 8 | 4 | no | — |
| 856 | C22 | — | 8 | 4 | no | — |
| 857 | C22 | — | 8 | 4 | no | — |
| 858 | C22 | — | 8 | 8 | no | — |
| 859 | C22 | — | 16 | 4 | no | — |
| 860 | C22 | — | 16 | 8 | no | — |
| 861 | C22 | — | 16 | 16 | no | — |
| 862 | C22 | — | 16 | 4 | no | — |
| 863 | C22 | #23682 | 1 | 4 | yes | — |
| 864 | C22 | C2×#3036 | 1 | 1 | yes | characteristic |
| 865 | C22 | C2×#3109 | 1 | 1 | yes | characteristic |
| 866 | C22 | C2×#3184 | 1 | 1 | yes | characteristic |
| 867 | C4 | — | 4 | 2 | no | — |
| 868 | C4 | — | 4 | 2 | no | — |
| 869 | C4 | — | 4 | 4 | no | — |
| 870 | C4 | — | 8 | 2 | no | — |
| 871 | C4 | — | 8 | 4 | no | — |
| 872 | C4 | — | 8 | 4 | no | — |
| 873 | C4 | — | 16 | 2 | no | — |
| 874 | C4 | — | 16 | 2 | no | — |
| 875 | C4 | #23682 | 1 | 4 | yes | — |
| 876 | C4 | C2×#2392 | 1 | 1 | yes | characteristic |
| 877 | C4 | C2×#3038 | 1 | 1 | yes | characteristic |
| 878 | C4 | C2×#3114 | 1 | 1 | yes | characteristic |
| 879 | C4 | C2×#3180 | 1 | 1 | yes | characteristic |
| 880 | C2 | — | 2 | 1 | no | — |
| 881 | C2 | — | 2 | 1 | no | — |
| 882 | C2 | — | 2 | 4 | no | — |
| 883 | C2 | — | 16 | 4 | no | — |
| 884 | C2 | — | 16 | 4 | no | — |
| 885 | C2 | C2×#23682 | 1 | 1 | yes | characteristic |
| 886 | C2 | #7623148 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C2×#3109 |
| commutator, Frattini, cosocle | C22×C8 | C25 |
| prime radical | #498867 | 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. C22×AGL(1,ℤ/16) | C2 | semidirect |
| 2. #6373791 | C2 | semidirect |
| 3. #6372120 | C2 | semidirect |
| 4. #499476 | C2 | semidirect |
| 5. #499474 | C2 | semidirect |
| 6. #499423 | C2 | semidirect |
| 7. #499362 | C2 | semidirect |
| 8. #499305 | C2 | semidirect |
| 9. #499183 | C2 | semidirect |
| 10. #499074 | C2 | semidirect |
| 12. #493109 | C2 | semidirect |
| 13. #493084 | C2 | semidirect |
| 22. C2×AGL(1,ℤ/16) | C22 | semidirect |
| 23. C2×AGL(1,ℤ/16) | C22 | semidirect |
| 31. #21710 | C22 | semidirect |
| 32. #21709 | C22 | semidirect |
| 36. #21290 | C22 | semidirect |
| 38. #21286 | C22 | semidirect |
| 52. #13510 | C22 | semidirect |
| 53. #13487 | C22 | semidirect |
| 54. #13467 | C22 | semidirect |
| 55. #13445 | C22 | semidirect |
| 56. #13410 | C22 | semidirect |
| 58. #12660 | C22 | semidirect |
| 59. #12659 | C22 | semidirect |
| 60. #12650 | C22 | semidirect |
| 61. #12650 | C22 | semidirect |
| 97. C2×#442 | D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×AGL(1,ℤ/16) | 2 |
| #6373791 | 2 |
| #6372120 | 2 |
| #499476 | 2 |
| #499474 | 2 |
| #499423 | 2 |
| #499362 | 2 |
| #499305 | 2 |
| #499183 | 2 |
| #499074 | 2 |
| #498867 | 2 |
| #493109 | 2 |
| #493084 | 2 |