Finite Group DatabasebetaFinite Group DatabasebetaOrder 512.
3832 conjugacy classes of subgroups.
The subgroup lattice has 894 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#3584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#3414 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C22×#508 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#3067 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #33538 | C2 | 1 | 16 | yes | maximal, direct product factor |
| 6 | C2×#2195 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C2×#2193 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C2×#2194 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C2×#2192 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | C2×#2148 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C22×#359 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C22×#350 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | C2×#585 | — | 2 | 1 | no | — |
| 14 | #3584 | — | 2 | 4 | no | — |
| 15 | #3584 | — | 2 | 4 | no | — |
| 16 | #3584 | — | 2 | 4 | no | — |
| 17 | #3584 | C22 | 1 | 8 | yes | complemented |
| 18 | C2×#578 | — | 2 | 1 | no | — |
| 19 | C2×#578 | C22 | 1 | 2 | yes | — |
| 20 | C2×#577 | — | 2 | 2 | no | — |
| 21 | C2×#577 | — | 2 | 2 | no | — |
| 22 | C2×#576 | — | 2 | 1 | no | — |
| 23 | C2×#576 | C22 | 1 | 2 | yes | — |
| 24 | C2×#575 | — | 2 | 2 | no | — |
| 25 | C2×#575 | — | 2 | 1 | no | — |
| 26 | C2×#575 | — | 2 | 1 | no | — |
| 27 | C22×#135 | — | 2 | 2 | no | — |
| 28 | C22×#135 | C22 | 1 | 1 | yes | characteristic |
| 29 | C22×#135 | C22 | 1 | 1 | yes | characteristic |
| 30 | C22×#135 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C22×#131 | C22 | 1 | 1 | yes | characteristic |
| 32 | #3414 | — | 2 | 4 | no | — |
| 33 | #3414 | C22 | 1 | 8 | yes | complemented |
| 34 | C2×#510 | — | 2 | 1 | no | — |
| 35 | C2×#510 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#509 | — | 2 | 1 | no | — |
| 37 | C2×#509 | C22 | 1 | 2 | yes | complemented |
| 38 | C2×#508 | — | 2 | 4 | no | — |
| 39 | C2×#508 | — | 2 | 2 | no | — |
| 40 | C2×#508 | — | 2 | 2 | no | — |
| 41 | C2×#508 | — | 2 | 2 | no | — |
| 42 | C2×#508 | C22 | 1 | 8 | yes | complemented |
| 43 | C22×Q32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C22×SD32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C22×SD32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C22×D16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C22×M32 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | C23×C16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #3067 | — | 2 | 4 | no | — |
| 50 | #3067 | C22 | 1 | 8 | yes | complemented |
| 51 | C2×#473 | C22 | 1 | 2 | yes | complemented |
| 52 | C2×#472 | C22 | 1 | 2 | yes | complemented |
| 53 | C2×#471 | — | 2 | 2 | no | — |
| 54 | C22×#108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×#413 | — | 2 | 1 | no | — |
| 56 | #2195 | C22 | 1 | 16 | yes | complemented |
| 57 | #2194 | C22 | 1 | 16 | yes | complemented |
| 58 | #2193 | C22 | 1 | 16 | yes | complemented |
| 59 | #2192 | C22 | 1 | 16 | yes | complemented |
| 60 | #2148 | C22 | 1 | 8 | yes | complemented |
| 61 | C2×#362 | C22 | 1 | 2 | yes | complemented |
| 62 | C2×#361 | C22 | 1 | 2 | yes | complemented |
| 63 | C2×#359 | C22 | 1 | 2 | yes | complemented |
| 64 | C2×#359 | C22 | 1 | 2 | yes | complemented |
| 65 | C2×#359 | C22 | 1 | 8 | yes | complemented |
| 66 | C2×#350 | C22 | 1 | 2 | yes | complemented |
| 67 | C2×#350 | C22 | 1 | 2 | yes | complemented |
| 68 | C2×#350 | C22 | 1 | 8 | yes | complemented |
| 69 | #585 | — | 2 | 8 | no | — |
| 70 | #585 | — | 2 | 8 | no | — |
| 71 | #585 | — | 4 | 4 | no | — |
| 72 | #585 | — | 4 | 4 | no | — |
| 73 | C2×2−1+4 | — | 2 | 2 | no | — |
| 74 | C2×2−1+4 | — | 2 | 2 | no | — |
| 75 | C2×2−1+4 | — | 4 | 1 | no | — |
| 76 | C2×H(5,𝔽2) | — | 2 | 2 | no | — |
| 77 | C2×H(5,𝔽2) | — | 2 | 2 | no | — |
| 78 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 79 | C2×H(5,𝔽2) | — | 4 | 1 | no | — |
| 80 | C22×#41 | — | 2 | 4 | no | — |
| 81 | C22×#41 | — | 2 | 1 | no | — |
| 82 | C22×#41 | — | 2 | 1 | no | — |
| 83 | C22×#41 | — | 2 | 1 | no | — |
| 84 | C22×#41 | — | 4 | 2 | no | — |
| 85 | C22×#41 | — | 4 | 2 | no | — |
| 86 | C22×#41 | D4 | 1 | 1 | yes | characteristic |
| 87 | #578 | — | 2 | 8 | no | — |
| 88 | #578 | — | 2 | 4 | no | — |
| 89 | #578 | — | 2 | 4 | no | — |
| 90 | #578 | — | 2 | 8 | no | — |
| 91 | #578 | — | 2 | 4 | no | — |
| 92 | #578 | C23 | 1 | 8 | yes | — |
| 93 | #577 | — | 2 | 16 | no | — |
| 94 | #577 | — | 2 | 16 | no | — |
| 95 | #577 | — | 2 | 16 | no | — |
| 96 | #577 | — | 2 | 16 | no | — |
| 97 | #576 | — | 2 | 8 | no | — |
| 98 | #576 | — | 2 | 4 | no | — |
| 99 | #576 | — | 2 | 4 | no | — |
| 100 | #576 | — | 2 | 8 | no | — |
| 101 | #576 | — | 2 | 4 | no | — |
| 102 | #576 | C23 | 1 | 8 | yes | — |
| 103 | #575 | — | 2 | 8 | no | — |
| 104 | #575 | — | 2 | 16 | no | — |
| 105 | #575 | — | 2 | 16 | no | — |
| 106 | #575 | — | 2 | 8 | no | — |
| 107 | #575 | — | 2 | 8 | no | — |
| 108 | #575 | — | 4 | 4 | no | — |
| 109 | C2×#137 | — | 2 | 2 | no | — |
| 110 | C2×#137 | — | 2 | 4 | no | — |
| 111 | C2×#137 | — | 2 | 4 | no | — |
| 112 | C2×#137 | — | 2 | 2 | no | — |
| 113 | C2×#137 | — | 2 | 2 | no | — |
| 114 | C2×#137 | — | 4 | 1 | no | — |
| 115 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 116 | C2×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 117 | C2×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 118 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 119 | C2×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 120 | C2×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 121 | C2×#135 | — | 2 | 16 | no | — |
| 122 | C2×#135 | — | 2 | 4 | no | — |
| 123 | C2×#135 | — | 2 | 4 | no | — |
| 124 | C2×#135 | — | 2 | 16 | no | — |
| 125 | C2×#135 | — | 2 | 2 | no | — |
| 126 | C2×#135 | — | 2 | 2 | no | — |
| 127 | C2×#135 | — | 2 | 2 | no | — |
| 128 | C2×#135 | — | 2 | 2 | no | — |
| 129 | C2×#135 | — | 2 | 2 | no | — |
| 130 | C2×#135 | — | 2 | 2 | no | — |
| 131 | C2×#135 | — | 2 | 1 | no | — |
| 132 | C2×#135 | — | 2 | 1 | no | — |
| 133 | C2×#135 | — | 2 | 1 | no | — |
| 134 | C2×#135 | — | 2 | 1 | no | — |
| 135 | C2×#135 | — | 2 | 2 | no | — |
| 136 | C2×#135 | — | 2 | 1 | no | — |
| 137 | C2×#135 | — | 2 | 1 | no | — |
| 138 | C2×#135 | — | 2 | 1 | no | — |
| 139 | C2×#135 | — | 2 | 2 | no | — |
| 140 | C2×#135 | — | 2 | 1 | no | — |
| 141 | C2×#135 | — | 2 | 2 | no | — |
| 142 | C2×#135 | — | 4 | 2 | no | — |
| 143 | C2×#135 | D4 | 1 | 4 | yes | — |
| 144 | C2×#135 | D4 | 1 | 4 | yes | — |
| 145 | C2×#135 | D4 | 1 | 2 | yes | — |
| 146 | C2×#135 | D4 | 1 | 2 | yes | — |
| 147 | C2×#135 | D4 | 1 | 2 | yes | — |
| 148 | C2×#135 | C23 | 1 | 4 | yes | — |
| 149 | C2×#135 | C23 | 1 | 2 | yes | — |
| 150 | C2×#135 | C23 | 1 | 4 | yes | — |
| 151 | C2×#135 | C23 | 1 | 4 | yes | complemented |
| 152 | C22×Q16 | — | 2 | 2 | no | — |
| 153 | C22×Q16 | D4 | 1 | 1 | yes | characteristic |
| 154 | C22×Q16 | C23 | 1 | 1 | yes | characteristic |
| 155 | C22×Q16 | C23 | 1 | 1 | yes | characteristic |
| 156 | C22×SD16 | — | 2 | 4 | no | — |
| 157 | C22×SD16 | — | 2 | 1 | no | — |
| 158 | C22×SD16 | — | 2 | 1 | no | — |
| 159 | C22×SD16 | — | 2 | 1 | no | — |
| 160 | C22×D8 | — | 2 | 2 | no | — |
| 161 | C22×D8 | D4 | 1 | 1 | yes | characteristic |
| 162 | C22×D8 | C23 | 1 | 1 | yes | characteristic |
| 163 | C22×D8 | C23 | 1 | 1 | yes | characteristic |
| 164 | C2×#131 | — | 2 | 2 | no | — |
| 165 | C2×#131 | — | 2 | 2 | no | — |
| 166 | C2×#131 | — | 2 | 1 | no | — |
| 167 | C2×#131 | — | 2 | 1 | no | — |
| 168 | C2×#131 | D4 | 1 | 4 | yes | — |
| 169 | C2×#131 | D4 | 1 | 2 | yes | — |
| 170 | C2×#131 | C23 | 1 | 4 | yes | — |
| 171 | C2×#131 | C23 | 1 | 2 | yes | — |
| 172 | C22×M16 | — | 2 | 1 | no | — |
| 173 | C22×M16 | — | 2 | 1 | no | — |
| 174 | C22×M16 | D4 | 1 | 1 | yes | characteristic |
| 175 | C23×C8 | — | 2 | 1 | no | — |
| 176 | C23×C8 | C23 | 1 | 1 | yes | characteristic |
| 177 | #510 | — | 2 | 4 | no | — |
| 178 | #510 | — | 2 | 8 | no | — |
| 179 | #510 | C23 | 1 | 8 | yes | complemented |
| 180 | #509 | — | 2 | 4 | no | — |
| 181 | #509 | — | 2 | 8 | no | — |
| 182 | #509 | C23 | 1 | 8 | yes | complemented |
| 183 | #508 | — | 2 | 16 | no | — |
| 184 | #508 | — | 2 | 16 | no | — |
| 185 | #508 | — | 2 | 16 | no | — |
| 186 | C2×Q32 | — | 2 | 2 | no | — |
| 187 | C2×Q32 | — | 2 | 2 | no | — |
| 188 | C2×Q32 | — | 2 | 2 | no | — |
| 189 | C2×Q32 | C23 | 1 | 4 | yes | complemented |
| 190 | C2×SD32 | — | 2 | 2 | no | — |
| 191 | C2×SD32 | — | 2 | 2 | no | — |
| 192 | C2×SD32 | — | 2 | 2 | no | — |
| 193 | C2×SD32 | — | 2 | 2 | no | — |
| 194 | C2×SD32 | — | 2 | 2 | no | — |
| 195 | C2×SD32 | — | 2 | 2 | no | — |
| 196 | C2×SD32 | C23 | 1 | 4 | yes | complemented |
| 197 | C2×SD32 | C23 | 1 | 4 | yes | complemented |
| 198 | C2×D16 | — | 2 | 2 | no | — |
| 199 | C2×D16 | — | 2 | 2 | no | — |
| 200 | C2×D16 | — | 2 | 2 | no | — |
| 201 | C2×D16 | C23 | 1 | 4 | yes | complemented |
| 202 | C2×M32 | — | 2 | 1 | no | — |
| 203 | C2×M32 | — | 2 | 2 | no | — |
| 204 | C2×M32 | C23 | 1 | 2 | yes | — |
| 205 | C2×M32 | C23 | 1 | 4 | yes | complemented |
| 206 | C22×C16 | — | 2 | 1 | no | — |
| 207 | C22×C16 | — | 2 | 1 | no | — |
| 208 | C22×C16 | — | 2 | 2 | no | — |
| 209 | C22×C16 | — | 2 | 1 | no | — |
| 210 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 211 | C22×C16 | C23 | 1 | 1 | yes | characteristic |
| 212 | C22×C16 | C23 | 1 | 4 | yes | complemented |
| 213 | #473 | — | 2 | 4 | no | — |
| 214 | #473 | C23 | 1 | 8 | yes | complemented |
| 215 | #472 | — | 2 | 4 | no | — |
| 216 | #472 | C23 | 1 | 8 | yes | complemented |
| 217 | #471 | — | 2 | 16 | no | — |
| 218 | C2×#108 | — | 2 | 1 | no | — |
| 219 | C2×#108 | — | 2 | 2 | no | — |
| 220 | C2×#108 | C23 | 1 | 2 | yes | — |
| 221 | C2×#108 | C23 | 1 | 4 | yes | complemented |
| 222 | #413 | — | 2 | 8 | no | — |
| 223 | C2×#101 | — | 2 | 2 | no | — |
| 224 | C2×#100 | — | 2 | 2 | no | — |
| 225 | #362 | C23 | 1 | 8 | yes | complemented |
| 226 | #361 | C23 | 1 | 8 | yes | complemented |
| 227 | #359 | C23 | 1 | 8 | yes | complemented |
| 228 | #359 | C23 | 1 | 8 | yes | complemented |
| 229 | #350 | C23 | 1 | 8 | yes | complemented |
| 230 | #350 | C23 | 1 | 8 | yes | complemented |
| 231 | 2−1+4 | — | 2 | 8 | no | — |
| 232 | 2−1+4 | — | 2 | 16 | no | — |
| 233 | 2−1+4 | — | 2 | 8 | no | — |
| 234 | 2−1+4 | — | 4 | 8 | no | — |
| 235 | 2−1+4 | — | 4 | 4 | no | — |
| 236 | 2−1+4 | — | 4 | 8 | no | — |
| 237 | 2−1+4 | — | 4 | 4 | no | — |
| 238 | 2−1+4 | — | 4 | 8 | no | — |
| 239 | H(5,𝔽2) | — | 2 | 16 | no | — |
| 240 | H(5,𝔽2) | — | 2 | 8 | no | — |
| 241 | H(5,𝔽2) | — | 2 | 8 | no | — |
| 242 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 243 | H(5,𝔽2) | — | 4 | 16 | no | — |
| 244 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 245 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 246 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 247 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 248 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 249 | C2×#41 | — | 2 | 1 | no | — |
| 250 | C2×#41 | — | 2 | 2 | no | — |
| 251 | C2×#41 | — | 2 | 1 | no | — |
| 252 | C2×#41 | — | 2 | 2 | no | — |
| 253 | C2×#41 | — | 2 | 4 | no | — |
| 254 | C2×#41 | — | 2 | 4 | no | — |
| 255 | C2×#41 | — | 2 | 32 | no | — |
| 256 | C2×#41 | — | 2 | 2 | no | — |
| 257 | C2×#41 | — | 2 | 2 | no | — |
| 258 | C2×#41 | — | 2 | 2 | no | — |
| 259 | C2×#41 | — | 2 | 4 | no | — |
| 260 | C2×#41 | — | 2 | 4 | no | — |
| 261 | C2×#41 | — | 2 | 2 | no | — |
| 262 | C2×#41 | — | 2 | 4 | no | — |
| 263 | C2×#41 | — | 2 | 4 | no | — |
| 264 | C2×#41 | — | 2 | 4 | no | — |
| 265 | C2×#41 | — | 4 | 4 | no | — |
| 266 | C2×#41 | — | 4 | 4 | no | — |
| 267 | C2×#41 | — | 4 | 16 | no | — |
| 268 | C2×#41 | — | 4 | 4 | no | — |
| 269 | C2×#41 | — | 4 | 4 | no | — |
| 270 | C2×#41 | — | 4 | 2 | no | — |
| 271 | C2×#41 | — | 4 | 2 | no | — |
| 272 | C2×#41 | — | 4 | 16 | no | — |
| 273 | C2×#41 | — | 4 | 16 | no | — |
| 274 | C2×#41 | — | 4 | 16 | no | — |
| 275 | C2×#41 | — | 4 | 16 | no | — |
| 276 | C2×#41 | — | 4 | 2 | no | — |
| 277 | C2×#41 | — | 4 | 2 | no | — |
| 278 | C2×#41 | — | 4 | 1 | no | — |
| 279 | C2×#41 | — | 4 | 1 | no | — |
| 280 | C2×#41 | — | 4 | 1 | no | — |
| 281 | C2×#41 | — | 4 | 2 | no | — |
| 282 | C2×#41 | — | 4 | 2 | no | — |
| 283 | C2×#41 | — | 4 | 1 | no | — |
| 284 | C2×#41 | — | 4 | 2 | no | — |
| 285 | C2×#41 | — | 4 | 2 | no | — |
| 286 | C2×#41 | — | 4 | 2 | no | — |
| 287 | C2×#41 | — | 4 | 1 | no | — |
| 288 | C2×#41 | — | 4 | 2 | no | — |
| 289 | C2×#41 | — | 4 | 1 | no | — |
| 290 | C2×#41 | — | 4 | 1 | no | — |
| 291 | C2×#41 | — | 4 | 1 | no | — |
| 292 | C2×#41 | — | 4 | 2 | no | — |
| 293 | C2×#41 | D8 | 1 | 2 | yes | — |
| 294 | C2×#41 | D8 | 1 | 4 | yes | — |
| 295 | C2×#41 | C2×D4 | 1 | 2 | yes | — |
| 296 | C2×#41 | C2×D4 | 1 | 4 | yes | — |
| 297 | C22×Q8 | — | 2 | 4 | no | — |
| 298 | C22×Q8 | — | 2 | 1 | no | — |
| 299 | C22×Q8 | — | 2 | 1 | no | — |
| 300 | C22×Q8 | — | 2 | 1 | no | — |
| 301 | C22×Q8 | — | 4 | 2 | no | — |
| 302 | C22×Q8 | — | 4 | 2 | no | — |
| 303 | C22×Q8 | D8 | 1 | 1 | yes | characteristic |
| 304 | C22×D4 | — | 2 | 1 | no | — |
| 305 | C22×D4 | — | 2 | 4 | no | — |
| 306 | C22×D4 | — | 2 | 1 | no | — |
| 307 | C22×D4 | — | 2 | 1 | no | — |
| 308 | C22×D4 | — | 2 | 1 | no | — |
| 309 | C22×D4 | — | 4 | 4 | no | — |
| 310 | C22×D4 | — | 4 | 4 | no | — |
| 311 | C22×D4 | — | 4 | 2 | no | — |
| 312 | C22×D4 | — | 4 | 4 | no | — |
| 313 | C22×D4 | — | 4 | 1 | no | — |
| 314 | C22×D4 | — | 4 | 1 | no | — |
| 315 | C22×D4 | — | 4 | 2 | no | — |
| 316 | C22×D4 | — | 4 | 1 | no | — |
| 317 | C22×D4 | D8 | 1 | 1 | yes | characteristic |
| 318 | C23×C4 | — | 2 | 1 | no | — |
| 319 | C23×C4 | — | 4 | 4 | no | — |
| 320 | C23×C4 | — | 4 | 1 | no | — |
| 321 | C23×C4 | — | 4 | 1 | no | — |
| 322 | C23×C4 | — | 4 | 1 | no | — |
| 323 | C23×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | #137 | — | 2 | 16 | no | — |
| 325 | #137 | — | 2 | 8 | no | — |
| 326 | #137 | — | 2 | 32 | no | — |
| 327 | #137 | — | 2 | 16 | no | — |
| 328 | #137 | — | 2 | 16 | no | — |
| 329 | #137 | — | 2 | 8 | no | — |
| 330 | #137 | — | 2 | 8 | no | — |
| 331 | #137 | — | 4 | 4 | no | — |
| 332 | #137 | — | 4 | 8 | no | — |
| 333 | AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 334 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 335 | AGL(1,ℤ/8) | — | 2 | 32 | no | — |
| 336 | AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 337 | AGL(1,ℤ/8) | — | 2 | 16 | no | — |
| 338 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 339 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 340 | AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 341 | AGL(1,ℤ/8) | — | 4 | 8 | no | — |
| 342 | #135 | — | 2 | 32 | no | — |
| 343 | #135 | — | 2 | 8 | no | — |
| 344 | #135 | — | 2 | 8 | no | — |
| 345 | #135 | — | 2 | 32 | no | — |
| 346 | #135 | — | 2 | 8 | no | — |
| 347 | #135 | — | 2 | 8 | no | — |
| 348 | #135 | — | 2 | 4 | no | — |
| 349 | #135 | — | 2 | 4 | no | — |
| 350 | #135 | — | 2 | 4 | no | — |
| 351 | #135 | — | 2 | 4 | no | — |
| 352 | #135 | — | 2 | 4 | no | — |
| 353 | #135 | — | 2 | 4 | no | — |
| 354 | #135 | — | 2 | 4 | no | — |
| 355 | #135 | — | 2 | 4 | no | — |
| 356 | #135 | — | 2 | 4 | no | — |
| 357 | #135 | — | 2 | 2 | no | — |
| 358 | #135 | — | 2 | 2 | no | — |
| 359 | #135 | — | 2 | 4 | no | — |
| 360 | #135 | — | 2 | 4 | no | — |
| 361 | #135 | — | 2 | 4 | no | — |
| 362 | #135 | — | 2 | 4 | no | — |
| 363 | #135 | — | 2 | 4 | no | — |
| 364 | #135 | — | 2 | 4 | no | — |
| 365 | #135 | — | 4 | 16 | no | — |
| 366 | #135 | — | 4 | 2 | no | — |
| 367 | #135 | — | 4 | 2 | no | — |
| 368 | #135 | — | 4 | 2 | no | — |
| 369 | #135 | — | 4 | 2 | no | — |
| 370 | #135 | C2×D4 | 1 | 8 | yes | — |
| 371 | #135 | C2×D4 | 1 | 8 | yes | — |
| 372 | #135 | C2×D4 | 1 | 4 | yes | — |
| 373 | #135 | C2×D4 | 1 | 8 | yes | — |
| 374 | #135 | C24 | 1 | 4 | yes | — |
| 375 | C2×Q16 | — | 2 | 4 | no | — |
| 376 | C2×Q16 | — | 2 | 8 | no | — |
| 377 | C2×Q16 | — | 2 | 8 | no | — |
| 378 | C2×Q16 | — | 2 | 1 | no | — |
| 379 | C2×Q16 | — | 2 | 2 | no | — |
| 380 | C2×Q16 | — | 2 | 1 | no | — |
| 381 | C2×Q16 | — | 2 | 1 | no | — |
| 382 | C2×Q16 | — | 2 | 1 | no | — |
| 383 | C2×Q16 | — | 2 | 1 | no | — |
| 384 | C2×Q16 | — | 2 | 1 | no | — |
| 385 | C2×Q16 | — | 2 | 1 | no | — |
| 386 | C2×Q16 | — | 2 | 1 | no | — |
| 387 | C2×Q16 | — | 2 | 1 | no | — |
| 388 | C2×Q16 | — | 4 | 2 | no | — |
| 389 | C2×Q16 | C2×D4 | 1 | 2 | yes | — |
| 390 | C2×Q16 | C2×D4 | 1 | 4 | yes | — |
| 391 | C2×Q16 | C2×D4 | 1 | 2 | yes | — |
| 392 | C2×Q16 | C2×D4 | 1 | 2 | yes | — |
| 393 | C2×Q16 | C24 | 1 | 2 | yes | — |
| 394 | C2×Q16 | C24 | 1 | 2 | yes | — |
| 395 | C2×SD16 | — | 2 | 4 | no | — |
| 396 | C2×SD16 | — | 2 | 4 | no | — |
| 397 | C2×SD16 | — | 2 | 32 | no | — |
| 398 | C2×SD16 | — | 2 | 2 | no | — |
| 399 | C2×SD16 | — | 2 | 2 | no | — |
| 400 | C2×SD16 | — | 2 | 2 | no | — |
| 401 | C2×SD16 | — | 2 | 4 | no | — |
| 402 | C2×SD16 | — | 2 | 4 | no | — |
| 403 | C2×SD16 | — | 2 | 2 | no | — |
| 404 | C2×SD16 | — | 2 | 4 | no | — |
| 405 | C2×SD16 | — | 2 | 4 | no | — |
| 406 | C2×SD16 | — | 2 | 4 | no | — |
| 407 | C2×SD16 | — | 4 | 2 | no | — |
| 408 | C2×SD16 | — | 4 | 2 | no | — |
| 409 | C2×SD16 | — | 4 | 1 | no | — |
| 410 | C2×SD16 | — | 4 | 1 | no | — |
| 411 | C2×SD16 | — | 4 | 2 | no | — |
| 412 | C2×D8 | — | 2 | 4 | no | — |
| 413 | C2×D8 | — | 2 | 8 | no | — |
| 414 | C2×D8 | — | 2 | 8 | no | — |
| 415 | C2×D8 | — | 2 | 1 | no | — |
| 416 | C2×D8 | — | 2 | 2 | no | — |
| 417 | C2×D8 | — | 2 | 1 | no | — |
| 418 | C2×D8 | — | 2 | 1 | no | — |
| 419 | C2×D8 | — | 2 | 1 | no | — |
| 420 | C2×D8 | — | 2 | 1 | no | — |
| 421 | C2×D8 | — | 2 | 1 | no | — |
| 422 | C2×D8 | — | 2 | 1 | no | — |
| 423 | C2×D8 | — | 2 | 1 | no | — |
| 424 | C2×D8 | — | 2 | 1 | no | — |
| 425 | C2×D8 | — | 4 | 2 | no | — |
| 426 | C2×D8 | C2×D4 | 1 | 2 | yes | — |
| 427 | C2×D8 | C2×D4 | 1 | 4 | yes | — |
| 428 | C2×D8 | C2×D4 | 1 | 2 | yes | — |
| 429 | C2×D8 | C2×D4 | 1 | 2 | yes | — |
| 430 | C2×D8 | C24 | 1 | 2 | yes | — |
| 431 | C2×D8 | C24 | 1 | 2 | yes | — |
| 432 | #131 | — | 2 | 4 | no | — |
| 433 | #131 | — | 2 | 4 | no | — |
| 434 | #131 | — | 2 | 4 | no | — |
| 435 | #131 | — | 2 | 2 | no | — |
| 436 | #131 | — | 2 | 2 | no | — |
| 437 | #131 | — | 2 | 4 | no | — |
| 438 | #131 | — | 2 | 4 | no | — |
| 439 | #131 | C2×D4 | 1 | 4 | yes | — |
| 440 | #131 | C2×D4 | 1 | 8 | yes | — |
| 441 | #131 | C24 | 1 | 4 | yes | — |
| 442 | C2×M16 | — | 2 | 1 | no | — |
| 443 | C2×M16 | — | 2 | 2 | no | — |
| 444 | C2×M16 | — | 2 | 2 | no | — |
| 445 | C2×M16 | — | 2 | 4 | no | — |
| 446 | C2×M16 | — | 2 | 2 | no | — |
| 447 | C2×M16 | — | 2 | 4 | no | — |
| 448 | C2×M16 | — | 2 | 2 | no | — |
| 449 | C2×M16 | — | 2 | 4 | no | — |
| 450 | C2×M16 | — | 4 | 1 | no | — |
| 451 | C2×M16 | — | 4 | 2 | no | — |
| 452 | C2×M16 | C2×D4 | 1 | 2 | yes | — |
| 453 | C2×M16 | C2×D4 | 1 | 4 | yes | — |
| 454 | C22×C8 | — | 2 | 1 | no | — |
| 455 | C22×C8 | — | 2 | 2 | no | — |
| 456 | C22×C8 | — | 2 | 4 | no | — |
| 457 | C22×C8 | — | 2 | 2 | no | — |
| 458 | C22×C8 | — | 2 | 4 | no | — |
| 459 | C22×C8 | — | 4 | 1 | no | — |
| 460 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 461 | C22×C8 | C2×D4 | 1 | 2 | yes | — |
| 462 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 463 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 464 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 465 | C22×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 466 | C22×C8 | C2×D4 | 1 | 2 | yes | — |
| 467 | C22×C8 | C2×D4 | 1 | 2 | yes | — |
| 468 | C22×C8 | C24 | 1 | 1 | yes | characteristic |
| 469 | C22×C8 | C24 | 1 | 2 | yes | — |
| 470 | Q32 | — | 2 | 8 | no | — |
| 471 | Q32 | — | 2 | 8 | no | — |
| 472 | SD32 | — | 2 | 8 | no | — |
| 473 | SD32 | — | 2 | 8 | no | — |
| 474 | SD32 | — | 2 | 8 | no | — |
| 475 | SD32 | — | 2 | 8 | no | — |
| 476 | D16 | — | 2 | 8 | no | — |
| 477 | D16 | — | 2 | 8 | no | — |
| 478 | M32 | — | 2 | 2 | no | — |
| 479 | M32 | — | 2 | 4 | no | — |
| 480 | M32 | C24 | 1 | 4 | yes | — |
| 481 | C2×C16 | — | 2 | 1 | no | — |
| 482 | C2×C16 | — | 2 | 1 | no | — |
| 483 | C2×C16 | — | 2 | 1 | no | — |
| 484 | C2×C16 | — | 2 | 1 | no | — |
| 485 | C2×C16 | — | 2 | 4 | no | — |
| 486 | C2×C16 | — | 2 | 4 | no | — |
| 487 | C2×C16 | — | 2 | 2 | no | — |
| 488 | C2×C16 | — | 2 | 4 | no | — |
| 489 | C2×C16 | C24 | 1 | 2 | yes | — |
| 490 | C2×C16 | C24 | 1 | 2 | yes | — |
| 491 | #108 | — | 2 | 2 | no | — |
| 492 | #108 | — | 2 | 4 | no | — |
| 493 | #108 | C24 | 1 | 4 | yes | — |
| 494 | #101 | — | 2 | 8 | no | — |
| 495 | #100 | — | 2 | 8 | no | — |
| 496 | C24 | — | 2 | 1 | no | — |
| 497 | C24 | — | 4 | 4 | no | — |
| 498 | C24 | — | 4 | 1 | no | — |
| 499 | C24 | — | 4 | 1 | no | — |
| 500 | C24 | — | 4 | 1 | no | — |
| 501 | C24 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 502 | #41 | — | 2 | 2 | no | — |
| 503 | #41 | — | 2 | 4 | no | — |
| 504 | #41 | — | 2 | 4 | no | — |
| 505 | #41 | — | 2 | 2 | no | — |
| 506 | #41 | — | 2 | 4 | no | — |
| 507 | #41 | — | 2 | 4 | no | — |
| 508 | #41 | — | 2 | 4 | no | — |
| 509 | #41 | — | 2 | 16 | no | — |
| 510 | #41 | — | 2 | 16 | no | — |
| 511 | #41 | — | 2 | 8 | no | — |
| 512 | #41 | — | 2 | 8 | no | — |
| 513 | #41 | — | 2 | 4 | no | — |
| 514 | #41 | — | 2 | 8 | no | — |
| 515 | #41 | — | 2 | 4 | no | — |
| 516 | #41 | — | 4 | 32 | no | — |
| 517 | #41 | — | 4 | 32 | no | — |
| 518 | #41 | — | 4 | 8 | no | — |
| 519 | #41 | — | 4 | 8 | no | — |
| 520 | #41 | — | 4 | 16 | no | — |
| 521 | #41 | — | 4 | 32 | no | — |
| 522 | #41 | — | 4 | 16 | no | — |
| 523 | #41 | — | 4 | 16 | no | — |
| 524 | #41 | — | 4 | 8 | no | — |
| 525 | #41 | — | 4 | 16 | no | — |
| 526 | #41 | — | 4 | 8 | no | — |
| 527 | #41 | — | 4 | 8 | no | — |
| 528 | #41 | — | 4 | 8 | no | — |
| 529 | #41 | — | 4 | 4 | no | — |
| 530 | #41 | — | 4 | 4 | no | — |
| 531 | #41 | — | 4 | 2 | no | — |
| 532 | #41 | — | 4 | 4 | no | — |
| 533 | #41 | — | 4 | 4 | no | — |
| 534 | #41 | — | 4 | 2 | no | — |
| 535 | #41 | — | 4 | 4 | no | — |
| 536 | #41 | — | 4 | 4 | no | — |
| 537 | #41 | — | 4 | 4 | no | — |
| 538 | #41 | — | 4 | 4 | no | — |
| 539 | #41 | — | 4 | 4 | no | — |
| 540 | #41 | — | 4 | 4 | no | — |
| 541 | #41 | — | 4 | 4 | no | — |
| 542 | #41 | — | 4 | 4 | no | — |
| 543 | #41 | — | 4 | 4 | no | — |
| 544 | #41 | — | 4 | 4 | no | — |
| 545 | #41 | — | 4 | 4 | no | — |
| 546 | #41 | — | 8 | 2 | no | — |
| 547 | #41 | — | 8 | 2 | no | — |
| 548 | #41 | — | 8 | 2 | no | — |
| 549 | #41 | — | 8 | 2 | no | — |
| 550 | #41 | C2×D8 | 1 | 8 | yes | — |
| 551 | #41 | C2×D8 | 1 | 4 | yes | — |
| 552 | #41 | C22×D4 | 1 | 4 | yes | — |
| 553 | C2×Q8 | — | 2 | 1 | no | — |
| 554 | C2×Q8 | — | 2 | 2 | no | — |
| 555 | C2×Q8 | — | 2 | 16 | no | — |
| 556 | C2×Q8 | — | 2 | 2 | no | — |
| 557 | C2×Q8 | — | 2 | 2 | no | — |
| 558 | C2×Q8 | — | 2 | 2 | no | — |
| 559 | C2×Q8 | — | 2 | 4 | no | — |
| 560 | C2×Q8 | — | 2 | 2 | no | — |
| 561 | C2×Q8 | — | 2 | 2 | no | — |
| 562 | C2×Q8 | — | 4 | 4 | no | — |
| 563 | C2×Q8 | — | 4 | 8 | no | — |
| 564 | C2×Q8 | — | 4 | 16 | no | — |
| 565 | C2×Q8 | — | 4 | 8 | no | — |
| 566 | C2×Q8 | — | 4 | 8 | no | — |
| 567 | C2×Q8 | — | 4 | 1 | no | — |
| 568 | C2×Q8 | — | 4 | 1 | no | — |
| 569 | C2×Q8 | — | 4 | 1 | no | — |
| 570 | C2×Q8 | — | 4 | 1 | no | — |
| 571 | C2×Q8 | — | 4 | 1 | no | — |
| 572 | C2×Q8 | — | 4 | 2 | no | — |
| 573 | C2×Q8 | — | 4 | 1 | no | — |
| 574 | C2×Q8 | — | 4 | 1 | no | — |
| 575 | C2×Q8 | — | 4 | 1 | no | — |
| 576 | C2×Q8 | — | 4 | 1 | no | — |
| 577 | C2×Q8 | C2×D8 | 1 | 2 | yes | — |
| 578 | C2×Q8 | C2×D8 | 1 | 4 | yes | — |
| 579 | C2×D4 | — | 2 | 2 | no | — |
| 580 | C2×D4 | — | 2 | 4 | no | — |
| 581 | C2×D4 | — | 2 | 2 | no | — |
| 582 | C2×D4 | — | 2 | 4 | no | — |
| 583 | C2×D4 | — | 2 | 16 | no | — |
| 584 | C2×D4 | — | 2 | 2 | no | — |
| 585 | C2×D4 | — | 2 | 2 | no | — |
| 586 | C2×D4 | — | 2 | 2 | no | — |
| 587 | C2×D4 | — | 2 | 4 | no | — |
| 588 | C2×D4 | — | 2 | 2 | no | — |
| 589 | C2×D4 | — | 2 | 2 | no | — |
| 590 | C2×D4 | — | 2 | 1 | no | — |
| 591 | C2×D4 | — | 2 | 2 | no | — |
| 592 | C2×D4 | — | 4 | 4 | no | — |
| 593 | C2×D4 | — | 4 | 8 | no | — |
| 594 | C2×D4 | — | 4 | 16 | no | — |
| 595 | C2×D4 | — | 4 | 32 | no | — |
| 596 | C2×D4 | — | 4 | 16 | no | — |
| 597 | C2×D4 | — | 4 | 16 | no | — |
| 598 | C2×D4 | — | 4 | 8 | no | — |
| 599 | C2×D4 | — | 4 | 4 | no | — |
| 600 | C2×D4 | — | 4 | 4 | no | — |
| 601 | C2×D4 | — | 4 | 32 | no | — |
| 602 | C2×D4 | — | 4 | 2 | no | — |
| 603 | C2×D4 | — | 4 | 4 | no | — |
| 604 | C2×D4 | — | 4 | 4 | no | — |
| 605 | C2×D4 | — | 4 | 2 | no | — |
| 606 | C2×D4 | — | 4 | 2 | no | — |
| 607 | C2×D4 | — | 4 | 2 | no | — |
| 608 | C2×D4 | — | 4 | 4 | no | — |
| 609 | C2×D4 | — | 4 | 4 | no | — |
| 610 | C2×D4 | — | 4 | 8 | no | — |
| 611 | C2×D4 | — | 4 | 4 | no | — |
| 612 | C2×D4 | — | 4 | 1 | no | — |
| 613 | C2×D4 | — | 4 | 1 | no | — |
| 614 | C2×D4 | — | 4 | 1 | no | — |
| 615 | C2×D4 | — | 4 | 1 | no | — |
| 616 | C2×D4 | — | 4 | 1 | no | — |
| 617 | C2×D4 | — | 4 | 1 | no | — |
| 618 | C2×D4 | — | 4 | 1 | no | — |
| 619 | C2×D4 | — | 4 | 1 | no | — |
| 620 | C2×D4 | — | 4 | 1 | no | — |
| 621 | C2×D4 | — | 4 | 2 | no | — |
| 622 | C2×D4 | — | 8 | 1 | no | — |
| 623 | C2×D4 | — | 8 | 1 | no | — |
| 624 | C2×D4 | — | 8 | 2 | no | — |
| 625 | C2×D4 | C2×D8 | 1 | 2 | yes | — |
| 626 | C2×D4 | C2×D8 | 1 | 4 | yes | — |
| 627 | C22×C4 | — | 2 | 1 | no | — |
| 628 | C22×C4 | — | 2 | 2 | no | — |
| 629 | C22×C4 | — | 2 | 4 | no | — |
| 630 | C22×C4 | — | 2 | 4 | no | — |
| 631 | C22×C4 | — | 2 | 2 | no | — |
| 632 | C22×C4 | — | 4 | 4 | no | — |
| 633 | C22×C4 | — | 4 | 4 | no | — |
| 634 | C22×C4 | — | 4 | 32 | no | — |
| 635 | C22×C4 | — | 4 | 4 | no | — |
| 636 | C22×C4 | — | 4 | 1 | no | — |
| 637 | C22×C4 | — | 4 | 1 | no | — |
| 638 | C22×C4 | — | 4 | 2 | no | — |
| 639 | C22×C4 | — | 4 | 4 | no | — |
| 640 | C22×C4 | — | 4 | 4 | no | — |
| 641 | C22×C4 | — | 4 | 2 | no | — |
| 642 | C22×C4 | — | 4 | 4 | no | — |
| 643 | C22×C4 | — | 4 | 4 | no | — |
| 644 | C22×C4 | — | 4 | 2 | no | — |
| 645 | C22×C4 | — | 4 | 2 | no | — |
| 646 | C22×C4 | — | 4 | 1 | no | — |
| 647 | C22×C4 | — | 4 | 4 | no | — |
| 648 | C22×C4 | — | 8 | 1 | no | — |
| 649 | C22×C4 | — | 8 | 2 | no | — |
| 650 | C22×C4 | — | 8 | 1 | no | — |
| 651 | C22×C4 | #120 | 1 | 1 | yes | characteristic |
| 652 | C22×C4 | #120 | 1 | 2 | yes | — |
| 653 | C22×C4 | #120 | 1 | 1 | yes | characteristic |
| 654 | C22×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 655 | C22×C4 | C2×D8 | 1 | 2 | yes | — |
| 656 | C22×C4 | C2×D8 | 1 | 1 | yes | characteristic |
| 657 | C22×C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 658 | C22×C4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 659 | C22×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 660 | C22×C4 | C22×D4 | 1 | 2 | yes | — |
| 661 | Q16 | — | 2 | 16 | no | — |
| 662 | Q16 | — | 2 | 2 | no | — |
| 663 | Q16 | — | 2 | 2 | no | — |
| 664 | Q16 | — | 2 | 2 | no | — |
| 665 | Q16 | — | 2 | 4 | no | — |
| 666 | Q16 | — | 2 | 2 | no | — |
| 667 | Q16 | — | 2 | 2 | no | — |
| 668 | Q16 | — | 2 | 2 | no | — |
| 669 | Q16 | — | 4 | 8 | no | — |
| 670 | Q16 | — | 4 | 1 | no | — |
| 671 | Q16 | — | 4 | 1 | no | — |
| 672 | Q16 | C22×D4 | 1 | 4 | yes | — |
| 673 | Q16 | C22×D4 | 1 | 4 | yes | — |
| 674 | SD16 | — | 2 | 16 | no | — |
| 675 | SD16 | — | 2 | 16 | no | — |
| 676 | SD16 | — | 2 | 8 | no | — |
| 677 | SD16 | — | 2 | 8 | no | — |
| 678 | SD16 | — | 2 | 4 | no | — |
| 679 | SD16 | — | 2 | 8 | no | — |
| 680 | SD16 | — | 2 | 4 | no | — |
| 681 | SD16 | — | 4 | 8 | no | — |
| 682 | SD16 | — | 4 | 8 | no | — |
| 683 | SD16 | — | 4 | 4 | no | — |
| 684 | SD16 | — | 4 | 4 | no | — |
| 685 | D8 | — | 2 | 16 | no | — |
| 686 | D8 | — | 2 | 2 | no | — |
| 687 | D8 | — | 2 | 2 | no | — |
| 688 | D8 | — | 2 | 2 | no | — |
| 689 | D8 | — | 2 | 4 | no | — |
| 690 | D8 | — | 2 | 2 | no | — |
| 691 | D8 | — | 2 | 2 | no | — |
| 692 | D8 | — | 2 | 2 | no | — |
| 693 | D8 | — | 4 | 8 | no | — |
| 694 | D8 | — | 4 | 1 | no | — |
| 695 | D8 | — | 4 | 1 | no | — |
| 696 | D8 | C22×D4 | 1 | 4 | yes | — |
| 697 | D8 | C22×D4 | 1 | 4 | yes | — |
| 698 | M16 | — | 2 | 2 | no | — |
| 699 | M16 | — | 2 | 4 | no | — |
| 700 | M16 | — | 2 | 4 | no | — |
| 701 | M16 | — | 2 | 8 | no | — |
| 702 | M16 | — | 2 | 4 | no | — |
| 703 | M16 | — | 2 | 4 | no | — |
| 704 | M16 | — | 4 | 2 | no | — |
| 705 | M16 | — | 4 | 4 | no | — |
| 706 | M16 | C22×D4 | 1 | 4 | yes | — |
| 707 | C2×C8 | — | 2 | 2 | no | — |
| 708 | C2×C8 | — | 2 | 4 | no | — |
| 709 | C2×C8 | — | 2 | 4 | no | — |
| 710 | C2×C8 | — | 2 | 8 | no | — |
| 711 | C2×C8 | — | 2 | 4 | no | — |
| 712 | C2×C8 | — | 4 | 2 | no | — |
| 713 | C2×C8 | — | 4 | 4 | no | — |
| 714 | C2×C8 | #120 | 1 | 1 | yes | characteristic |
| 715 | C2×C8 | #120 | 1 | 2 | yes | — |
| 716 | C2×C8 | #120 | 1 | 1 | yes | characteristic |
| 717 | C2×C8 | #120 | 1 | 2 | yes | — |
| 718 | C2×C8 | #120 | 1 | 2 | yes | — |
| 719 | C2×C8 | #120 | 1 | 2 | yes | — |
| 720 | C2×C8 | #120 | 1 | 2 | yes | — |
| 721 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 722 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 723 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 724 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 725 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 726 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 727 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 728 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 729 | C2×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 730 | C2×C8 | C22×D4 | 1 | 2 | yes | — |
| 731 | C2×C8 | C25 | 1 | 1 | yes | characteristic |
| 732 | C16 | — | 2 | 2 | no | — |
| 733 | C16 | — | 2 | 2 | no | — |
| 734 | C16 | — | 2 | 4 | no | — |
| 735 | C23 | — | 2 | 2 | no | — |
| 736 | C23 | — | 2 | 4 | no | — |
| 737 | C23 | — | 4 | 2 | no | — |
| 738 | C23 | — | 4 | 16 | no | — |
| 739 | C23 | — | 4 | 2 | no | — |
| 740 | C23 | — | 4 | 2 | no | — |
| 741 | C23 | — | 4 | 2 | no | — |
| 742 | C23 | — | 4 | 4 | no | — |
| 743 | C23 | — | 4 | 2 | no | — |
| 744 | C23 | — | 4 | 2 | no | — |
| 745 | C23 | — | 8 | 2 | no | — |
| 746 | C23 | — | 8 | 1 | no | — |
| 747 | C23 | — | 8 | 1 | no | — |
| 748 | C23 | — | 16 | 2 | no | — |
| 749 | C23 | — | 16 | 2 | no | — |
| 750 | C23 | — | 16 | 2 | no | — |
| 751 | C23 | — | 16 | 8 | no | — |
| 752 | C23 | #447 | 1 | 1 | yes | characteristic |
| 753 | C23 | #447 | 1 | 1 | yes | characteristic |
| 754 | C23 | #447 | 1 | 2 | yes | — |
| 755 | C23 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 756 | C23 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 757 | Q8 | — | 2 | 4 | no | — |
| 758 | Q8 | — | 2 | 2 | no | — |
| 759 | Q8 | — | 2 | 4 | no | — |
| 760 | Q8 | — | 2 | 4 | no | — |
| 761 | Q8 | — | 4 | 16 | no | — |
| 762 | Q8 | — | 4 | 2 | no | — |
| 763 | Q8 | — | 4 | 2 | no | — |
| 764 | Q8 | — | 4 | 4 | no | — |
| 765 | Q8 | — | 4 | 2 | no | — |
| 766 | Q8 | — | 4 | 2 | no | — |
| 767 | Q8 | — | 4 | 2 | no | — |
| 768 | Q8 | — | 4 | 2 | no | — |
| 769 | Q8 | — | 8 | 1 | no | — |
| 770 | Q8 | — | 8 | 1 | no | — |
| 771 | Q8 | C22×D8 | 1 | 4 | yes | — |
| 772 | D4 | — | 2 | 4 | no | — |
| 773 | D4 | — | 2 | 8 | no | — |
| 774 | D4 | — | 2 | 4 | no | — |
| 775 | D4 | — | 2 | 4 | no | — |
| 776 | D4 | — | 2 | 4 | no | — |
| 777 | D4 | — | 2 | 4 | no | — |
| 778 | D4 | — | 2 | 2 | no | — |
| 779 | D4 | — | 4 | 16 | no | — |
| 780 | D4 | — | 4 | 16 | no | — |
| 781 | D4 | — | 4 | 16 | no | — |
| 782 | D4 | — | 4 | 8 | no | — |
| 783 | D4 | — | 4 | 8 | no | — |
| 784 | D4 | — | 4 | 4 | no | — |
| 785 | D4 | — | 4 | 8 | no | — |
| 786 | D4 | — | 4 | 4 | no | — |
| 787 | D4 | — | 4 | 2 | no | — |
| 788 | D4 | — | 4 | 2 | no | — |
| 789 | D4 | — | 4 | 2 | no | — |
| 790 | D4 | — | 4 | 4 | no | — |
| 791 | D4 | — | 4 | 2 | no | — |
| 792 | D4 | — | 4 | 2 | no | — |
| 793 | D4 | — | 4 | 2 | no | — |
| 794 | D4 | — | 8 | 4 | no | — |
| 795 | D4 | — | 8 | 4 | no | — |
| 796 | D4 | — | 8 | 1 | no | — |
| 797 | D4 | — | 8 | 1 | no | — |
| 798 | D4 | C22×D8 | 1 | 4 | yes | — |
| 799 | C2×C4 | — | 2 | 2 | no | — |
| 800 | C2×C4 | — | 2 | 4 | no | — |
| 801 | C2×C4 | — | 2 | 4 | no | — |
| 802 | C2×C4 | — | 2 | 8 | no | — |
| 803 | C2×C4 | — | 2 | 4 | no | — |
| 804 | C2×C4 | — | 4 | 16 | no | — |
| 805 | C2×C4 | — | 4 | 16 | no | — |
| 806 | C2×C4 | — | 4 | 16 | no | — |
| 807 | C2×C4 | — | 4 | 2 | no | — |
| 808 | C2×C4 | — | 4 | 2 | no | — |
| 809 | C2×C4 | — | 4 | 2 | no | — |
| 810 | C2×C4 | — | 4 | 4 | no | — |
| 811 | C2×C4 | — | 4 | 2 | no | — |
| 812 | C2×C4 | — | 4 | 8 | no | — |
| 813 | C2×C4 | — | 4 | 8 | no | — |
| 814 | C2×C4 | — | 4 | 8 | no | — |
| 815 | C2×C4 | — | 4 | 4 | no | — |
| 816 | C2×C4 | — | 4 | 4 | no | — |
| 817 | C2×C4 | — | 4 | 2 | no | — |
| 818 | C2×C4 | — | 8 | 1 | no | — |
| 819 | C2×C4 | — | 8 | 1 | no | — |
| 820 | C2×C4 | — | 8 | 4 | no | — |
| 821 | C2×C4 | — | 8 | 4 | no | — |
| 822 | C2×C4 | #447 | 1 | 2 | yes | — |
| 823 | C2×C4 | #447 | 1 | 1 | yes | characteristic |
| 824 | C2×C4 | #447 | 1 | 2 | yes | — |
| 825 | C2×C4 | #447 | 1 | 2 | yes | — |
| 826 | C2×C4 | #447 | 1 | 2 | yes | — |
| 827 | C2×C4 | #447 | 1 | 2 | yes | — |
| 828 | C2×C4 | #447 | 1 | 1 | yes | characteristic |
| 829 | C2×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 830 | C2×C4 | C2×#120 | 1 | 2 | yes | — |
| 831 | C2×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 832 | C2×C4 | C2×#120 | 1 | 2 | yes | — |
| 833 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 834 | C2×C4 | C22×D8 | 1 | 2 | yes | — |
| 835 | C2×C4 | C22×D8 | 1 | 1 | yes | characteristic |
| 836 | C2×C4 | C22×D8 | 1 | 2 | yes | — |
| 837 | C2×C4 | C2×AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 838 | C2×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 839 | C2×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 840 | C8 | — | 2 | 4 | no | — |
| 841 | C8 | — | 4 | 4 | no | — |
| 842 | C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 843 | C8 | C2×#120 | 1 | 2 | yes | — |
| 844 | C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 845 | C8 | C2×#120 | 1 | 2 | yes | — |
| 846 | C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 847 | C8 | C23×D4 | 1 | 1 | yes | characteristic |
| 848 | C22 | — | 2 | 2 | no | — |
| 849 | C22 | — | 2 | 2 | no | — |
| 850 | C22 | — | 2 | 2 | no | — |
| 851 | C22 | — | 2 | 4 | no | — |
| 852 | C22 | — | 4 | 2 | no | — |
| 853 | C22 | — | 4 | 2 | no | — |
| 854 | C22 | — | 4 | 4 | no | — |
| 855 | C22 | — | 4 | 4 | no | — |
| 856 | C22 | — | 4 | 4 | no | — |
| 857 | C22 | — | 8 | 4 | no | — |
| 858 | C22 | — | 8 | 4 | no | — |
| 859 | C22 | — | 8 | 4 | no | — |
| 860 | C22 | — | 8 | 2 | no | — |
| 861 | C22 | — | 16 | 2 | no | — |
| 862 | C22 | — | 16 | 2 | no | — |
| 863 | C22 | — | 16 | 4 | no | — |
| 864 | C22 | — | 16 | 2 | no | — |
| 865 | C22 | — | 16 | 2 | no | — |
| 866 | C22 | — | 16 | 16 | no | — |
| 867 | C22 | — | 16 | 2 | no | — |
| 868 | C22 | C2×#447 | 1 | 2 | yes | — |
| 869 | C22 | C2×#447 | 1 | 1 | yes | characteristic |
| 870 | C22 | C2×#447 | 1 | 2 | yes | — |
| 871 | C22 | C2×#447 | 1 | 1 | yes | characteristic |
| 872 | C22 | C22×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 873 | C4 | — | 2 | 4 | no | — |
| 874 | C4 | — | 4 | 4 | no | — |
| 875 | C4 | — | 4 | 4 | no | — |
| 876 | C4 | — | 8 | 2 | no | — |
| 877 | C4 | C2×#447 | 1 | 2 | yes | — |
| 878 | C4 | C2×#447 | 1 | 1 | yes | characteristic |
| 879 | C4 | C2×#447 | 1 | 2 | yes | — |
| 880 | C4 | C2×#447 | 1 | 1 | yes | characteristic |
| 881 | C4 | C22×#120 | 1 | 1 | yes | characteristic |
| 882 | C4 | C23×D8 | 1 | 1 | yes | characteristic |
| 883 | C2 | — | 2 | 2 | no | — |
| 884 | C2 | — | 2 | 1 | no | — |
| 885 | C2 | — | 2 | 1 | no | — |
| 886 | C2 | — | 2 | 2 | no | — |
| 887 | C2 | — | 4 | 4 | no | — |
| 888 | C2 | — | 8 | 4 | no | — |
| 889 | C2 | — | 8 | 4 | no | — |
| 890 | C2 | — | 16 | 2 | no | — |
| 891 | C2 | #33538 | 1 | 2 | yes | direct product factor |
| 892 | C2 | C22×#447 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2×C4 | #447 |
| commutator, Frattini, cosocle | C2×C8 | C25 |
| socle | C22 | C2×#447 |
| LCS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2×C4 ◁ C23×C4 ◁ C22×#131 ◁ G | |
| LECS | G ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#3584 | C2 | semidirect |
| 2. C2×#3414 | C2 | semidirect |
| 3. C22×#508 | C2 | semidirect |
| 4. C2×#3067 | C2 | semidirect |
| 5. #33538 | C2 | direct (N × H) |
| 6. C2×#2195 | C2 | semidirect |
| 7. C2×#2193 | C2 | semidirect |
| 8. C2×#2194 | C2 | semidirect |
| 9. C2×#2192 | C2 | semidirect |
| 10. C2×#2148 | C2 | semidirect |
| 11. C22×#359 | C2 | semidirect |
| 12. C22×#350 | C2 | semidirect |
| 17. #3584 | C22 | semidirect |
| 30. C22×#135 | C22 | semidirect |
| 33. #3414 | C22 | semidirect |
| 35. C2×#510 | C22 | semidirect |
| 37. C2×#509 | C22 | semidirect |
| 42. C2×#508 | C22 | semidirect |
| 43. C22×Q32 | C22 | semidirect |
| 44. C22×SD32 | C22 | semidirect |
| 45. C22×SD32 | C22 | semidirect |
| 46. C22×D16 | C22 | semidirect |
| 47. C22×M32 | C22 | semidirect |
| 48. C23×C16 | C22 | semidirect |
| 50. #3067 | C22 | semidirect |
| 51. C2×#473 | C22 | semidirect |
| 52. C2×#472 | C22 | semidirect |
| 54. C22×#108 | C22 | semidirect |
| 56. #2195 | C22 | semidirect |
| 57. #2194 | C22 | semidirect |
| 58. #2193 | C22 | semidirect |
| 59. #2192 | C22 | semidirect |
| 60. #2148 | C22 | semidirect |
| 61. C2×#362 | C22 | semidirect |
| 62. C2×#361 | C22 | semidirect |
| 63. C2×#359 | C22 | semidirect |
| 64. C2×#359 | C22 | semidirect |
| 65. C2×#359 | C22 | semidirect |
| 66. C2×#350 | C22 | semidirect |
| 67. C2×#350 | C22 | semidirect |
| 68. C2×#350 | C22 | semidirect |
| 151. C2×#135 | C23 | semidirect |
| 179. #510 | C23 | semidirect |
| 182. #509 | C23 | semidirect |
| 189. C2×Q32 | C23 | semidirect |
| 196. C2×SD32 | C23 | semidirect |
| 197. C2×SD32 | C23 | semidirect |
| 201. C2×D16 | C23 | semidirect |
| 205. C2×M32 | C23 | semidirect |
| 212. C22×C16 | C23 | semidirect |
| 214. #473 | C23 | semidirect |
| 216. #472 | C23 | semidirect |
| 221. C2×#108 | C23 | semidirect |
| 225. #362 | C23 | semidirect |
| 226. #361 | C23 | semidirect |
| 227. #359 | C23 | semidirect |
| 228. #359 | C23 | semidirect |
| 229. #350 | C23 | semidirect |
| 230. #350 | C23 | semidirect |
| 891. C2 | #33538 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#3584 | 2 |
| C2×#3414 | 2 |
| C22×#508 | 2 |
| C2×#3067 | 2 |
| #33538 | 2 |
| C2×#2195 | 2 |
| C2×#2193 | 2 |
| C2×#2194 | 2 |
| C2×#2192 | 2 |
| C2×#2148 | 2 |
| C22×#359 | 2 |
| C22×#350 | 2 |