Finite Group DatabasebetaFinite Group DatabasebetaOrder 1024.
2547 conjugacy classes of subgroups.
The subgroup lattice has 867 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#13156 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#12752 | C2 | 1 | 2 | yes | maximal |
| 3 | #412790 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #361674 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #148660 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #148509 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #148132 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #148039 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #147382 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | C2×#3584 | C22 | 1 | 1 | yes | characteristic |
| 11 | C2×#2148 | C22 | 1 | 2 | yes | — |
| 12 | C22×#360 | C22 | 1 | 2 | yes | — |
| 13 | C22×#360 | C22 | 1 | 2 | yes | — |
| 14 | C2×#2143 | C22 | 1 | 2 | yes | — |
| 15 | C2×#2117 | C22 | 1 | 2 | yes | — |
| 16 | C2×#2110 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | #23734 | — | 2 | 1 | no | — |
| 18 | C2×#1976 | C22 | 1 | 2 | yes | — |
| 19 | #21224 | C22 | 1 | 2 | yes | — |
| 20 | C2×#1951 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×#1844 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#1815 | C22 | 1 | 2 | yes | — |
| 23 | C2×#1812 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#1794 | — | 2 | 1 | no | — |
| 25 | #20608 | — | 2 | 1 | no | — |
| 26 | #20383 | C22 | 1 | 1 | yes | characteristic |
| 27 | #13156 | — | 2 | 8 | no | — |
| 28 | #12752 | — | 2 | 8 | no | — |
| 29 | C2×#1389 | C22 | 1 | 2 | yes | complemented |
| 30 | C2×#1386 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×#1386 | C22 | 1 | 2 | yes | complemented |
| 32 | #12563 | C22 | 1 | 2 | yes | complemented |
| 33 | #12549 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #12544 | C22 | 1 | 2 | yes | complemented |
| 35 | #11354 | — | 2 | 1 | no | — |
| 36 | #11330 | — | 2 | 1 | no | — |
| 37 | #11106 | — | 2 | 1 | no | — |
| 38 | #11041 | — | 2 | 1 | no | — |
| 39 | #11038 | — | 2 | 1 | no | — |
| 40 | #10864 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C2×#585 | — | 2 | 1 | no | — |
| 42 | #3584 | — | 2 | 4 | no | — |
| 43 | #3584 | — | 2 | 4 | no | — |
| 44 | #3584 | — | 2 | 4 | no | — |
| 45 | #3584 | — | 4 | 2 | no | — |
| 46 | C2×#578 | — | 2 | 2 | no | — |
| 47 | C2×#577 | — | 4 | 2 | no | — |
| 48 | C2×#576 | — | 2 | 2 | no | — |
| 49 | C2×#575 | — | 2 | 1 | no | — |
| 50 | C2×#575 | — | 4 | 1 | no | — |
| 51 | C22×#135 | — | 4 | 1 | no | — |
| 52 | C22×#135 | C23 | 1 | 2 | yes | — |
| 53 | C22×#131 | C23 | 1 | 1 | yes | characteristic |
| 54 | C22×M32 | C23 | 1 | 2 | yes | — |
| 55 | C22×M32 | C23 | 1 | 2 | yes | — |
| 56 | C22×#108 | C23 | 1 | 2 | yes | — |
| 57 | C2×#428 | — | 2 | 2 | no | — |
| 58 | C2×#427 | C23 | 1 | 2 | yes | — |
| 59 | C22×#106 | — | 2 | 1 | no | — |
| 60 | C22×#106 | C23 | 1 | 2 | yes | — |
| 61 | C2×#421 | — | 2 | 2 | no | — |
| 62 | C2×#417 | — | 2 | 2 | no | — |
| 63 | C2×#416 | — | 2 | 2 | no | — |
| 64 | C2×#410 | — | 2 | 1 | no | — |
| 65 | C2×#410 | — | 2 | 2 | no | — |
| 66 | C2×#408 | D4 | 1 | 1 | yes | characteristic |
| 67 | C2×#405 | C23 | 1 | 1 | yes | characteristic |
| 68 | C22×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 69 | #2297 | — | 2 | 2 | no | — |
| 70 | #2297 | D4 | 1 | 1 | yes | characteristic |
| 71 | C2×#384 | — | 2 | 1 | no | — |
| 72 | #2148 | — | 2 | 4 | no | — |
| 73 | #2148 | D4 | 1 | 8 | yes | — |
| 74 | C2×#362 | — | 2 | 2 | no | — |
| 75 | C2×#361 | — | 2 | 2 | no | — |
| 76 | C2×#360 | — | 2 | 4 | no | — |
| 77 | C2×#360 | — | 2 | 4 | no | — |
| 78 | C2×#360 | — | 2 | 4 | no | — |
| 79 | C2×#360 | — | 4 | 2 | no | — |
| 80 | C2×#360 | — | 4 | 2 | no | — |
| 81 | C2×#360 | — | 4 | 2 | no | — |
| 82 | #2143 | — | 2 | 4 | no | — |
| 83 | #2143 | — | 2 | 4 | no | — |
| 84 | C2×#359 | — | 4 | 2 | no | — |
| 85 | #2117 | — | 2 | 4 | no | — |
| 86 | #2117 | — | 2 | 4 | no | — |
| 87 | C2×#350 | — | 4 | 2 | no | — |
| 88 | #2110 | — | 2 | 4 | no | — |
| 89 | C2×#347 | — | 4 | 1 | no | — |
| 90 | #2096 | — | 4 | 1 | no | — |
| 91 | #2095 | — | 4 | 1 | no | — |
| 92 | #2094 | — | 4 | 1 | no | — |
| 93 | #2093 | — | 4 | 1 | no | — |
| 94 | #1976 | — | 2 | 4 | no | — |
| 95 | #1976 | — | 4 | 2 | no | — |
| 96 | #1970 | — | 2 | 2 | no | — |
| 97 | #1969 | — | 2 | 2 | no | — |
| 98 | #1968 | — | 4 | 2 | no | — |
| 99 | #1951 | — | 2 | 4 | no | — |
| 100 | #1951 | — | 4 | 2 | no | — |
| 101 | #1844 | — | 4 | 1 | no | — |
| 102 | #1844 | — | 4 | 1 | no | — |
| 103 | #1815 | — | 2 | 4 | no | — |
| 104 | #1815 | — | 4 | 2 | no | — |
| 105 | #1812 | — | 2 | 4 | no | — |
| 106 | #1794 | — | 4 | 4 | no | — |
| 107 | #1790 | — | 4 | 4 | no | — |
| 108 | #1753 | — | 4 | 1 | no | — |
| 109 | C8×C22⋊C4 | — | 4 | 1 | no | — |
| 110 | C2×#343 | — | 2 | 2 | no | — |
| 111 | C2×#343 | — | 2 | 2 | no | — |
| 112 | C2×#341 | — | 2 | 1 | no | — |
| 113 | C2×H(3,ℤ/4) | — | 2 | 1 | no | — |
| 114 | #1729 | D4 | 1 | 1 | yes | characteristic |
| 115 | #1728 | — | 2 | 1 | no | — |
| 116 | #1728 | D4 | 1 | 1 | yes | characteristic |
| 117 | #1389 | — | 2 | 4 | no | — |
| 118 | #1386 | — | 2 | 4 | no | — |
| 119 | #1386 | — | 4 | 2 | no | — |
| 120 | #1383 | — | 4 | 2 | no | — |
| 121 | #1376 | — | 4 | 1 | no | — |
| 122 | #1374 | — | 4 | 2 | no | — |
| 123 | #585 | — | 2 | 4 | no | — |
| 124 | #585 | — | 4 | 4 | no | — |
| 125 | #585 | — | 4 | 2 | no | — |
| 126 | #585 | — | 4 | 2 | no | — |
| 127 | #585 | — | 4 | 2 | no | — |
| 128 | #585 | — | 8 | 2 | no | — |
| 129 | C2×2−1+4 | — | 4 | 2 | no | — |
| 130 | C2×2−1+4 | — | 4 | 1 | no | — |
| 131 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 132 | C2×H(5,𝔽2) | — | 4 | 2 | no | — |
| 133 | C2×H(5,𝔽2) | — | 4 | 1 | no | — |
| 134 | C22×#41 | — | 2 | 2 | no | — |
| 135 | C22×#41 | — | 4 | 2 | no | — |
| 136 | C22×#41 | — | 8 | 2 | no | — |
| 137 | C22×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 138 | #578 | — | 2 | 8 | no | — |
| 139 | #578 | — | 4 | 4 | no | — |
| 140 | #578 | — | 4 | 4 | no | — |
| 141 | #578 | — | 4 | 4 | no | — |
| 142 | #577 | — | 4 | 8 | no | — |
| 143 | #577 | — | 4 | 8 | no | — |
| 144 | #577 | — | 4 | 8 | no | — |
| 145 | #577 | — | 4 | 8 | no | — |
| 146 | #576 | — | 2 | 8 | no | — |
| 147 | #576 | — | 4 | 4 | no | — |
| 148 | #576 | — | 4 | 4 | no | — |
| 149 | #576 | — | 4 | 4 | no | — |
| 150 | #575 | — | 2 | 4 | no | — |
| 151 | #575 | — | 4 | 8 | no | — |
| 152 | #575 | — | 4 | 4 | no | — |
| 153 | #575 | — | 4 | 4 | no | — |
| 154 | #575 | — | 4 | 4 | no | — |
| 155 | #575 | — | 4 | 2 | no | — |
| 156 | C2×#137 | — | 4 | 2 | no | — |
| 157 | C2×#137 | — | 4 | 4 | no | — |
| 158 | C2×AGL(1,ℤ/8) | — | 4 | 2 | no | — |
| 159 | C2×AGL(1,ℤ/8) | — | 4 | 4 | no | — |
| 160 | C2×#135 | — | 2 | 2 | no | — |
| 161 | C2×#135 | — | 2 | 2 | no | — |
| 162 | C2×#135 | — | 2 | 2 | no | — |
| 163 | C2×#135 | — | 2 | 2 | no | — |
| 164 | C2×#135 | — | 2 | 2 | no | — |
| 165 | C2×#135 | — | 2 | 2 | no | — |
| 166 | C2×#135 | — | 2 | 2 | no | — |
| 167 | C2×#135 | — | 2 | 2 | no | — |
| 168 | C2×#135 | — | 2 | 2 | no | — |
| 169 | C2×#135 | — | 2 | 2 | no | — |
| 170 | C2×#135 | — | 4 | 8 | no | — |
| 171 | C2×#135 | — | 4 | 2 | no | — |
| 172 | C2×#135 | — | 4 | 2 | no | — |
| 173 | C2×#135 | — | 4 | 8 | no | — |
| 174 | C2×#135 | — | 4 | 2 | no | — |
| 175 | C2×#135 | C2×D4 | 1 | 4 | yes | — |
| 176 | C2×#135 | #41 | 1 | 4 | yes | — |
| 177 | C22×Q16 | — | 4 | 1 | no | — |
| 178 | C22×Q16 | #41 | 1 | 2 | yes | — |
| 179 | C22×SD16 | — | 2 | 2 | no | — |
| 180 | C22×SD16 | — | 4 | 2 | no | — |
| 181 | C22×D8 | — | 4 | 1 | no | — |
| 182 | C22×D8 | #41 | 1 | 2 | yes | — |
| 183 | C2×#131 | — | 2 | 2 | no | — |
| 184 | C2×#131 | — | 2 | 2 | no | — |
| 185 | C2×#131 | — | 2 | 2 | no | — |
| 186 | C2×#131 | — | 2 | 2 | no | — |
| 187 | C2×#131 | — | 2 | 2 | no | — |
| 188 | C2×#131 | #41 | 1 | 4 | yes | — |
| 189 | C22×M16 | — | 2 | 1 | no | — |
| 190 | C22×M16 | — | 2 | 2 | no | — |
| 191 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 192 | C22×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C23×C8 | — | 2 | 1 | no | — |
| 194 | C23×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C23×C8 | C24 | 1 | 1 | yes | characteristic |
| 196 | C2×#117 | — | 2 | 2 | no | — |
| 197 | C2×#117 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | C22×C4⋊C4 | — | 2 | 2 | no | — |
| 199 | C22×C4⋊C4 | — | 4 | 2 | no | — |
| 200 | C22×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 201 | C2×M32 | — | 2 | 2 | no | — |
| 202 | C2×M32 | — | 2 | 2 | no | — |
| 203 | C2×M32 | — | 2 | 2 | no | — |
| 204 | C2×M32 | — | 2 | 2 | no | — |
| 205 | C2×M32 | — | 2 | 2 | no | — |
| 206 | C2×M32 | — | 2 | 2 | no | — |
| 207 | C2×M32 | — | 2 | 2 | no | — |
| 208 | C2×M32 | — | 2 | 2 | no | — |
| 209 | C2×M32 | — | 2 | 2 | no | — |
| 210 | C2×M32 | — | 2 | 2 | no | — |
| 211 | C2×M32 | — | 2 | 2 | no | — |
| 212 | C2×M32 | C2×D4 | 1 | 4 | yes | — |
| 213 | C22×C16 | — | 2 | 2 | no | — |
| 214 | C22×C16 | — | 2 | 2 | no | — |
| 215 | C2×#108 | — | 2 | 2 | no | — |
| 216 | C2×#108 | — | 2 | 2 | no | — |
| 217 | C2×#108 | — | 2 | 2 | no | — |
| 218 | C2×#108 | — | 2 | 2 | no | — |
| 219 | C2×#108 | — | 2 | 2 | no | — |
| 220 | C2×#108 | C2×D4 | 1 | 4 | yes | — |
| 221 | #428 | — | 4 | 4 | no | — |
| 222 | #428 | — | 8 | 2 | no | — |
| 223 | #427 | — | 2 | 2 | no | — |
| 224 | #427 | — | 2 | 2 | no | — |
| 225 | #427 | — | 2 | 2 | no | — |
| 226 | #427 | — | 2 | 2 | no | — |
| 227 | C2×#107 | — | 2 | 2 | no | — |
| 228 | C2×#107 | — | 4 | 2 | no | — |
| 229 | C2×#106 | — | 2 | 2 | no | — |
| 230 | C2×#106 | — | 2 | 2 | no | — |
| 231 | C2×#106 | — | 2 | 2 | no | — |
| 232 | C2×#106 | — | 2 | 2 | no | — |
| 233 | C2×#106 | — | 2 | 2 | no | — |
| 234 | C2×#106 | — | 2 | 2 | no | — |
| 235 | C2×#106 | — | 2 | 2 | no | — |
| 236 | C2×#106 | — | 4 | 2 | no | — |
| 237 | C2×#106 | — | 4 | 2 | no | — |
| 238 | C2×#106 | — | 8 | 2 | no | — |
| 239 | #421 | — | 4 | 4 | no | — |
| 240 | #421 | — | 4 | 4 | no | — |
| 241 | C2×#104 | — | 8 | 2 | no | — |
| 242 | #417 | — | 4 | 4 | no | — |
| 243 | #417 | — | 8 | 2 | no | — |
| 244 | #416 | — | 4 | 4 | no | — |
| 245 | #416 | — | 8 | 2 | no | — |
| 246 | C2×#103 | — | 4 | 2 | no | — |
| 247 | C2×#103 | — | 4 | 2 | no | — |
| 248 | C2×#102 | — | 4 | 2 | no | — |
| 249 | C2×#102 | — | 4 | 2 | no | — |
| 250 | #410 | — | 4 | 4 | no | — |
| 251 | #410 | — | 4 | 2 | no | — |
| 252 | #410 | — | 4 | 2 | no | — |
| 253 | #410 | — | 8 | 2 | no | — |
| 254 | C2×#99 | — | 4 | 4 | no | — |
| 255 | C2×#99 | — | 4 | 2 | no | — |
| 256 | #408 | — | 2 | 2 | no | — |
| 257 | #408 | — | 2 | 2 | no | — |
| 258 | C2×C22⋊C8 | — | 4 | 1 | no | — |
| 259 | #405 | — | 2 | 2 | no | — |
| 260 | #405 | — | 2 | 2 | no | — |
| 261 | C2×#97 | — | 2 | 1 | no | — |
| 262 | C2×C4×C8 | — | 2 | 2 | no | — |
| 263 | C2×C4×C8 | — | 2 | 1 | no | — |
| 264 | C2×C4×C8 | — | 2 | 1 | no | — |
| 265 | C2×C4×C8 | — | 2 | 2 | no | — |
| 266 | C2×C4×C8 | — | 2 | 1 | no | — |
| 267 | #391 | — | 2 | 1 | no | — |
| 268 | #391 | — | 4 | 2 | no | — |
| 269 | #390 | — | 2 | 1 | no | — |
| 270 | #390 | — | 4 | 2 | no | — |
| 271 | #386 | — | 2 | 2 | no | — |
| 272 | #386 | — | 4 | 4 | no | — |
| 273 | #384 | — | 4 | 1 | no | — |
| 274 | #384 | — | 4 | 1 | no | — |
| 275 | #384 | — | 4 | 2 | no | — |
| 276 | C4×C22⋊C4 | — | 4 | 1 | no | — |
| 277 | C4×C22⋊C4 | — | 8 | 2 | no | — |
| 278 | #362 | — | 2 | 8 | no | — |
| 279 | #361 | — | 2 | 8 | no | — |
| 280 | #360 | — | 4 | 8 | no | — |
| 281 | #360 | — | 4 | 8 | no | — |
| 282 | #359 | — | 4 | 8 | no | — |
| 283 | #350 | — | 4 | 8 | no | — |
| 284 | #347 | — | 4 | 4 | no | — |
| 285 | #343 | — | 4 | 4 | no | — |
| 286 | #343 | — | 4 | 4 | no | — |
| 287 | #341 | — | 4 | 2 | no | — |
| 288 | H(3,ℤ/4) | — | 4 | 2 | no | — |
| 289 | #336 | — | 4 | 1 | no | — |
| 290 | #336 | — | 4 | 1 | no | — |
| 291 | #336 | — | 4 | 1 | no | — |
| 292 | #336 | — | 4 | 1 | no | — |
| 293 | 2−1+4 | — | 4 | 8 | no | — |
| 294 | 2−1+4 | — | 4 | 4 | no | — |
| 295 | 2−1+4 | — | 4 | 8 | no | — |
| 296 | 2−1+4 | — | 8 | 4 | no | — |
| 297 | 2−1+4 | — | 8 | 4 | no | — |
| 298 | 2−1+4 | — | 8 | 4 | no | — |
| 299 | 2−1+4 | — | 8 | 2 | no | — |
| 300 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 301 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 302 | H(5,𝔽2) | — | 4 | 4 | no | — |
| 303 | H(5,𝔽2) | — | 4 | 8 | no | — |
| 304 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 305 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 306 | H(5,𝔽2) | — | 8 | 8 | no | — |
| 307 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 308 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 309 | H(5,𝔽2) | — | 8 | 2 | no | — |
| 310 | C2×#41 | — | 2 | 1 | no | — |
| 311 | C2×#41 | — | 2 | 1 | no | — |
| 312 | C2×#41 | — | 2 | 4 | no | — |
| 313 | C2×#41 | — | 2 | 2 | no | — |
| 314 | C2×#41 | — | 2 | 4 | no | — |
| 315 | C2×#41 | — | 2 | 2 | no | — |
| 316 | C2×#41 | — | 2 | 2 | no | — |
| 317 | C2×#41 | — | 2 | 2 | no | — |
| 318 | C2×#41 | — | 4 | 8 | no | — |
| 319 | C2×#41 | — | 4 | 2 | no | — |
| 320 | C2×#41 | — | 4 | 2 | no | — |
| 321 | C2×#41 | — | 4 | 4 | no | — |
| 322 | C2×#41 | — | 4 | 8 | no | — |
| 323 | C2×#41 | — | 4 | 2 | no | — |
| 324 | C2×#41 | — | 4 | 2 | no | — |
| 325 | C2×#41 | — | 4 | 2 | no | — |
| 326 | C2×#41 | — | 4 | 2 | no | — |
| 327 | C2×#41 | — | 4 | 2 | no | — |
| 328 | C2×#41 | — | 4 | 2 | no | — |
| 329 | C2×#41 | — | 4 | 2 | no | — |
| 330 | C2×#41 | — | 4 | 2 | no | — |
| 331 | C2×#41 | — | 8 | 2 | no | — |
| 332 | C2×#41 | — | 8 | 4 | no | — |
| 333 | C2×#41 | — | 8 | 4 | no | — |
| 334 | C2×#41 | — | 8 | 8 | no | — |
| 335 | C2×#41 | — | 8 | 8 | no | — |
| 336 | C2×#41 | — | 8 | 2 | no | — |
| 337 | C2×#41 | — | 8 | 4 | no | — |
| 338 | C2×#41 | — | 8 | 2 | no | — |
| 339 | C2×#41 | — | 8 | 2 | no | — |
| 340 | C2×#41 | — | 8 | 8 | no | — |
| 341 | C2×#41 | — | 8 | 8 | no | — |
| 342 | C2×#41 | #124 | 1 | 2 | yes | — |
| 343 | C2×#41 | #137 | 1 | 2 | yes | — |
| 344 | C22×Q8 | — | 2 | 2 | no | — |
| 345 | C22×Q8 | — | 4 | 2 | no | — |
| 346 | C22×Q8 | — | 8 | 2 | no | — |
| 347 | C22×Q8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 348 | C22×D4 | — | 2 | 1 | no | — |
| 349 | C22×D4 | — | 2 | 2 | no | — |
| 350 | C22×D4 | — | 4 | 2 | no | — |
| 351 | C22×D4 | — | 4 | 2 | no | — |
| 352 | C22×D4 | — | 8 | 2 | no | — |
| 353 | C22×D4 | — | 8 | 4 | no | — |
| 354 | C22×D4 | — | 8 | 2 | no | — |
| 355 | C22×D4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 356 | C23×C4 | — | 2 | 1 | no | — |
| 357 | C23×C4 | — | 4 | 2 | no | — |
| 358 | C23×C4 | — | 4 | 2 | no | — |
| 359 | C23×C4 | — | 8 | 2 | no | — |
| 360 | C23×C4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 361 | C23×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 362 | #137 | — | 4 | 8 | no | — |
| 363 | #137 | — | 4 | 16 | no | — |
| 364 | #137 | — | 4 | 8 | no | — |
| 365 | #137 | — | 4 | 16 | no | — |
| 366 | AGL(1,ℤ/8) | — | 4 | 8 | no | — |
| 367 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 368 | AGL(1,ℤ/8) | — | 4 | 8 | no | — |
| 369 | AGL(1,ℤ/8) | — | 4 | 16 | no | — |
| 370 | #135 | — | 2 | 4 | no | — |
| 371 | #135 | — | 2 | 4 | no | — |
| 372 | #135 | — | 2 | 4 | no | — |
| 373 | #135 | — | 2 | 4 | no | — |
| 374 | #135 | — | 2 | 4 | no | — |
| 375 | #135 | — | 2 | 4 | no | — |
| 376 | #135 | — | 2 | 4 | no | — |
| 377 | #135 | — | 2 | 4 | no | — |
| 378 | #135 | — | 4 | 8 | no | — |
| 379 | #135 | — | 4 | 8 | no | — |
| 380 | #135 | — | 4 | 8 | no | — |
| 381 | #135 | — | 4 | 8 | no | — |
| 382 | #135 | — | 4 | 16 | no | — |
| 383 | #135 | — | 4 | 2 | no | — |
| 384 | #135 | — | 4 | 2 | no | — |
| 385 | #135 | — | 4 | 2 | no | — |
| 386 | #135 | — | 4 | 2 | no | — |
| 387 | #135 | — | 4 | 2 | no | — |
| 388 | #135 | — | 4 | 2 | no | — |
| 389 | #135 | — | 4 | 2 | no | — |
| 390 | #135 | — | 4 | 2 | no | — |
| 391 | C2×Q16 | — | 2 | 2 | no | — |
| 392 | C2×Q16 | — | 2 | 2 | no | — |
| 393 | C2×Q16 | — | 2 | 2 | no | — |
| 394 | C2×Q16 | — | 2 | 2 | no | — |
| 395 | C2×Q16 | — | 2 | 2 | no | — |
| 396 | C2×Q16 | — | 4 | 8 | no | — |
| 397 | C2×Q16 | — | 4 | 2 | no | — |
| 398 | C2×Q16 | #123 | 1 | 4 | yes | — |
| 399 | C2×SD16 | — | 2 | 4 | no | — |
| 400 | C2×SD16 | — | 2 | 4 | no | — |
| 401 | C2×SD16 | — | 4 | 4 | no | — |
| 402 | C2×SD16 | — | 4 | 16 | no | — |
| 403 | C2×SD16 | — | 4 | 2 | no | — |
| 404 | C2×SD16 | — | 4 | 2 | no | — |
| 405 | C2×SD16 | — | 4 | 2 | no | — |
| 406 | C2×SD16 | — | 4 | 2 | no | — |
| 407 | C2×D8 | — | 2 | 2 | no | — |
| 408 | C2×D8 | — | 2 | 2 | no | — |
| 409 | C2×D8 | — | 2 | 2 | no | — |
| 410 | C2×D8 | — | 2 | 2 | no | — |
| 411 | C2×D8 | — | 2 | 2 | no | — |
| 412 | C2×D8 | — | 4 | 8 | no | — |
| 413 | C2×D8 | — | 4 | 2 | no | — |
| 414 | C2×D8 | #123 | 1 | 4 | yes | — |
| 415 | #131 | — | 2 | 4 | no | — |
| 416 | #131 | — | 2 | 4 | no | — |
| 417 | #131 | — | 2 | 4 | no | — |
| 418 | #131 | — | 2 | 4 | no | — |
| 419 | #131 | — | 4 | 2 | no | — |
| 420 | #131 | — | 4 | 2 | no | — |
| 421 | #131 | — | 4 | 2 | no | — |
| 422 | #131 | — | 4 | 2 | no | — |
| 423 | C2×M16 | — | 2 | 1 | no | — |
| 424 | C2×M16 | — | 2 | 4 | no | — |
| 425 | C2×M16 | — | 2 | 2 | no | — |
| 426 | C2×M16 | — | 2 | 2 | no | — |
| 427 | C2×M16 | — | 2 | 4 | no | — |
| 428 | C2×M16 | — | 2 | 2 | no | — |
| 429 | C2×M16 | — | 2 | 1 | no | — |
| 430 | C2×M16 | — | 2 | 1 | no | — |
| 431 | C2×M16 | — | 2 | 2 | no | — |
| 432 | C2×M16 | — | 4 | 2 | no | — |
| 433 | C2×M16 | — | 4 | 2 | no | — |
| 434 | C2×M16 | — | 4 | 1 | no | — |
| 435 | C2×M16 | — | 4 | 1 | no | — |
| 436 | C2×M16 | — | 4 | 2 | no | — |
| 437 | C2×M16 | — | 4 | 2 | no | — |
| 438 | C2×M16 | — | 4 | 2 | no | — |
| 439 | C2×M16 | — | 4 | 2 | no | — |
| 440 | C2×M16 | #124 | 1 | 2 | yes | — |
| 441 | C22×C8 | — | 2 | 1 | no | — |
| 442 | C22×C8 | — | 2 | 1 | no | — |
| 443 | C22×C8 | — | 2 | 2 | no | — |
| 444 | C22×C8 | — | 2 | 1 | no | — |
| 445 | C22×C8 | — | 2 | 2 | no | — |
| 446 | C22×C8 | — | 2 | 4 | no | — |
| 447 | C22×C8 | — | 2 | 1 | no | — |
| 448 | C22×C8 | — | 4 | 2 | no | — |
| 449 | C22×C8 | — | 4 | 1 | no | — |
| 450 | C22×C8 | — | 4 | 1 | no | — |
| 451 | C22×C8 | — | 4 | 2 | no | — |
| 452 | C22×C8 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 453 | C22×C8 | C22×D4 | 1 | 2 | yes | — |
| 454 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 455 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 456 | C22×C8 | C2×#41 | 1 | 2 | yes | — |
| 457 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 458 | C22×C8 | H(5,𝔽2) | 1 | 2 | yes | — |
| 459 | C22×C8 | H(5,𝔽2) | 1 | 2 | yes | — |
| 460 | C22×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 461 | #117 | — | 2 | 2 | no | — |
| 462 | #117 | — | 2 | 2 | no | — |
| 463 | #117 | — | 4 | 2 | no | — |
| 464 | #117 | — | 4 | 2 | no | — |
| 465 | #117 | — | 4 | 2 | no | — |
| 466 | #117 | — | 4 | 2 | no | — |
| 467 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 468 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 469 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 470 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 471 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 472 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 473 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 474 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 475 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 476 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 477 | C2×C4⋊C4 | — | 16 | 4 | no | — |
| 478 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 479 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 480 | C2×C22⋊C4 | — | 4 | 2 | no | — |
| 481 | C2×C22⋊C4 | — | 8 | 4 | no | — |
| 482 | C2×C42 | — | 2 | 1 | no | — |
| 483 | C2×C42 | — | 2 | 2 | no | — |
| 484 | C2×C42 | — | 2 | 1 | no | — |
| 485 | C2×C42 | — | 2 | 2 | no | — |
| 486 | C2×C42 | — | 2 | 1 | no | — |
| 487 | C2×C42 | — | 4 | 2 | no | — |
| 488 | M32 | — | 2 | 4 | no | — |
| 489 | M32 | — | 2 | 4 | no | — |
| 490 | M32 | — | 4 | 2 | no | — |
| 491 | M32 | — | 4 | 2 | no | — |
| 492 | M32 | — | 4 | 2 | no | — |
| 493 | M32 | — | 4 | 2 | no | — |
| 494 | M32 | — | 4 | 2 | no | — |
| 495 | M32 | — | 4 | 2 | no | — |
| 496 | C2×C16 | — | 2 | 4 | no | — |
| 497 | C2×C16 | — | 4 | 2 | no | — |
| 498 | C2×C16 | — | 4 | 2 | no | — |
| 499 | C2×C16 | — | 4 | 2 | no | — |
| 500 | C2×C16 | — | 4 | 2 | no | — |
| 501 | C2×C16 | — | 4 | 2 | no | — |
| 502 | #108 | — | 2 | 4 | no | — |
| 503 | #108 | — | 2 | 4 | no | — |
| 504 | #108 | — | 4 | 2 | no | — |
| 505 | #108 | — | 4 | 2 | no | — |
| 506 | #107 | — | 4 | 2 | no | — |
| 507 | #107 | — | 4 | 2 | no | — |
| 508 | #107 | — | 8 | 4 | no | — |
| 509 | #106 | — | 4 | 2 | no | — |
| 510 | #106 | — | 4 | 2 | no | — |
| 511 | #106 | — | 4 | 2 | no | — |
| 512 | #106 | — | 4 | 2 | no | — |
| 513 | #106 | — | 4 | 2 | no | — |
| 514 | #106 | — | 4 | 2 | no | — |
| 515 | #106 | — | 8 | 4 | no | — |
| 516 | #106 | — | 8 | 4 | no | — |
| 517 | #104 | — | 8 | 8 | no | — |
| 518 | #103 | — | 8 | 4 | no | — |
| 519 | #103 | — | 8 | 4 | no | — |
| 520 | #102 | — | 8 | 4 | no | — |
| 521 | #102 | — | 8 | 4 | no | — |
| 522 | #99 | — | 8 | 8 | no | — |
| 523 | #99 | — | 8 | 4 | no | — |
| 524 | C22⋊C8 | — | 4 | 4 | no | — |
| 525 | #97 | — | 4 | 1 | no | — |
| 526 | #97 | — | 4 | 1 | no | — |
| 527 | C4×C8 | — | 4 | 2 | no | — |
| 528 | C4×C8 | — | 4 | 2 | no | — |
| 529 | C4×C8 | — | 4 | 1 | no | — |
| 530 | C4×C8 | — | 4 | 1 | no | — |
| 531 | #95 | — | 4 | 2 | no | — |
| 532 | #95 | — | 8 | 4 | no | — |
| 533 | C24 | — | 2 | 1 | no | — |
| 534 | C24 | — | 4 | 2 | no | — |
| 535 | C24 | — | 8 | 2 | no | — |
| 536 | C24 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 537 | #41 | — | 2 | 4 | no | — |
| 538 | #41 | — | 2 | 4 | no | — |
| 539 | #41 | — | 2 | 4 | no | — |
| 540 | #41 | — | 2 | 4 | no | — |
| 541 | #41 | — | 4 | 2 | no | — |
| 542 | #41 | — | 4 | 2 | no | — |
| 543 | #41 | — | 4 | 2 | no | — |
| 544 | #41 | — | 4 | 2 | no | — |
| 545 | #41 | — | 4 | 16 | no | — |
| 546 | #41 | — | 4 | 4 | no | — |
| 547 | #41 | — | 4 | 4 | no | — |
| 548 | #41 | — | 4 | 4 | no | — |
| 549 | #41 | — | 4 | 4 | no | — |
| 550 | #41 | — | 4 | 4 | no | — |
| 551 | #41 | — | 4 | 4 | no | — |
| 552 | #41 | — | 4 | 4 | no | — |
| 553 | #41 | — | 4 | 4 | no | — |
| 554 | #41 | — | 8 | 8 | no | — |
| 555 | #41 | — | 8 | 16 | no | — |
| 556 | #41 | — | 8 | 8 | no | — |
| 557 | #41 | — | 8 | 8 | no | — |
| 558 | #41 | — | 8 | 8 | no | — |
| 559 | #41 | — | 8 | 8 | no | — |
| 560 | #41 | — | 8 | 8 | no | — |
| 561 | #41 | — | 8 | 8 | no | — |
| 562 | #41 | — | 8 | 8 | no | — |
| 563 | #41 | — | 8 | 16 | no | — |
| 564 | #41 | — | 8 | 8 | no | — |
| 565 | #41 | — | 8 | 2 | no | — |
| 566 | #41 | — | 8 | 2 | no | — |
| 567 | #41 | — | 8 | 2 | no | — |
| 568 | #41 | — | 8 | 2 | no | — |
| 569 | #41 | — | 8 | 2 | no | — |
| 570 | #41 | — | 8 | 2 | no | — |
| 571 | #41 | — | 8 | 2 | no | — |
| 572 | #41 | — | 8 | 2 | no | — |
| 573 | C2×Q8 | — | 2 | 1 | no | — |
| 574 | C2×Q8 | — | 2 | 4 | no | — |
| 575 | C2×Q8 | — | 2 | 2 | no | — |
| 576 | C2×Q8 | — | 2 | 2 | no | — |
| 577 | C2×Q8 | — | 4 | 2 | no | — |
| 578 | C2×Q8 | — | 4 | 8 | no | — |
| 579 | C2×Q8 | — | 4 | 2 | no | — |
| 580 | C2×Q8 | — | 4 | 2 | no | — |
| 581 | C2×Q8 | — | 4 | 2 | no | — |
| 582 | C2×Q8 | — | 4 | 2 | no | — |
| 583 | C2×Q8 | — | 8 | 2 | no | — |
| 584 | C2×Q8 | — | 8 | 4 | no | — |
| 585 | C2×Q8 | — | 8 | 8 | no | — |
| 586 | C2×Q8 | — | 8 | 8 | no | — |
| 587 | C2×Q8 | #489 | 1 | 2 | yes | — |
| 588 | C2×D4 | — | 2 | 2 | no | — |
| 589 | C2×D4 | — | 2 | 2 | no | — |
| 590 | C2×D4 | — | 2 | 1 | no | — |
| 591 | C2×D4 | — | 2 | 4 | no | — |
| 592 | C2×D4 | — | 2 | 2 | no | — |
| 593 | C2×D4 | — | 2 | 2 | no | — |
| 594 | C2×D4 | — | 4 | 2 | no | — |
| 595 | C2×D4 | — | 4 | 2 | no | — |
| 596 | C2×D4 | — | 4 | 8 | no | — |
| 597 | C2×D4 | — | 4 | 4 | no | — |
| 598 | C2×D4 | — | 4 | 4 | no | — |
| 599 | C2×D4 | — | 4 | 2 | no | — |
| 600 | C2×D4 | — | 4 | 2 | no | — |
| 601 | C2×D4 | — | 4 | 2 | no | — |
| 602 | C2×D4 | — | 4 | 2 | no | — |
| 603 | C2×D4 | — | 4 | 2 | no | — |
| 604 | C2×D4 | — | 8 | 2 | no | — |
| 605 | C2×D4 | — | 8 | 4 | no | — |
| 606 | C2×D4 | — | 8 | 8 | no | — |
| 607 | C2×D4 | — | 8 | 8 | no | — |
| 608 | C2×D4 | — | 8 | 16 | no | — |
| 609 | C2×D4 | — | 8 | 16 | no | — |
| 610 | C2×D4 | — | 8 | 8 | no | — |
| 611 | C2×D4 | — | 8 | 4 | no | — |
| 612 | C2×D4 | — | 8 | 8 | no | — |
| 613 | C2×D4 | — | 8 | 2 | no | — |
| 614 | C2×D4 | — | 8 | 2 | no | — |
| 615 | C2×D4 | — | 8 | 2 | no | — |
| 616 | C2×D4 | — | 8 | 2 | no | — |
| 617 | C2×D4 | #489 | 1 | 2 | yes | — |
| 618 | C22×C4 | — | 2 | 1 | no | — |
| 619 | C22×C4 | — | 2 | 2 | no | — |
| 620 | C22×C4 | — | 2 | 4 | no | — |
| 621 | C22×C4 | — | 2 | 2 | no | — |
| 622 | C22×C4 | — | 2 | 2 | no | — |
| 623 | C22×C4 | — | 4 | 4 | no | — |
| 624 | C22×C4 | — | 4 | 1 | no | — |
| 625 | C22×C4 | — | 4 | 1 | no | — |
| 626 | C22×C4 | — | 4 | 1 | no | — |
| 627 | C22×C4 | — | 4 | 1 | no | — |
| 628 | C22×C4 | — | 4 | 2 | no | — |
| 629 | C22×C4 | — | 4 | 4 | no | — |
| 630 | C22×C4 | — | 4 | 4 | no | — |
| 631 | C22×C4 | — | 4 | 1 | no | — |
| 632 | C22×C4 | — | 8 | 4 | no | — |
| 633 | C22×C4 | — | 8 | 8 | no | — |
| 634 | C22×C4 | — | 8 | 8 | no | — |
| 635 | C22×C4 | — | 8 | 2 | no | — |
| 636 | C22×C4 | — | 8 | 2 | no | — |
| 637 | C22×C4 | — | 8 | 2 | no | — |
| 638 | C22×C4 | — | 8 | 2 | no | — |
| 639 | C22×C4 | — | 8 | 2 | no | — |
| 640 | C22×C4 | — | 8 | 2 | no | — |
| 641 | C22×C4 | — | 8 | 2 | no | — |
| 642 | C22×C4 | — | 8 | 2 | no | — |
| 643 | C22×C4 | — | 8 | 2 | no | — |
| 644 | C22×C4 | — | 16 | 4 | no | — |
| 645 | C22×C4 | #525 | 1 | 1 | yes | characteristic |
| 646 | C22×C4 | C2×#124 | 1 | 1 | yes | characteristic |
| 647 | C22×C4 | #534 | 1 | 1 | yes | characteristic |
| 648 | C22×C4 | D42 | 1 | 2 | yes | — |
| 649 | C22×C4 | #546 | 1 | 2 | yes | — |
| 650 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 651 | C22×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 652 | C22×C4 | C2×#137 | 1 | 1 | yes | characteristic |
| 653 | C22×C4 | #576 | 1 | 2 | yes | — |
| 654 | C22×C4 | #577 | 1 | 2 | yes | — |
| 655 | Q16 | — | 2 | 4 | no | — |
| 656 | Q16 | — | 2 | 4 | no | — |
| 657 | Q16 | — | 4 | 8 | no | — |
| 658 | Q16 | — | 4 | 2 | no | — |
| 659 | Q16 | — | 4 | 2 | no | — |
| 660 | SD16 | — | 4 | 16 | no | — |
| 661 | SD16 | — | 4 | 4 | no | — |
| 662 | SD16 | — | 4 | 4 | no | — |
| 663 | SD16 | — | 4 | 4 | no | — |
| 664 | SD16 | — | 4 | 4 | no | — |
| 665 | D8 | — | 2 | 4 | no | — |
| 666 | D8 | — | 2 | 4 | no | — |
| 667 | D8 | — | 4 | 8 | no | — |
| 668 | D8 | — | 4 | 2 | no | — |
| 669 | D8 | — | 4 | 2 | no | — |
| 670 | M16 | — | 2 | 4 | no | — |
| 671 | M16 | — | 4 | 2 | no | — |
| 672 | M16 | — | 4 | 4 | no | — |
| 673 | M16 | — | 4 | 4 | no | — |
| 674 | M16 | — | 4 | 4 | no | — |
| 675 | M16 | — | 4 | 2 | no | — |
| 676 | M16 | — | 4 | 2 | no | — |
| 677 | M16 | — | 4 | 4 | no | — |
| 678 | M16 | — | 8 | 2 | no | — |
| 679 | M16 | — | 8 | 2 | no | — |
| 680 | C2×C8 | — | 2 | 2 | no | — |
| 681 | C2×C8 | — | 2 | 2 | no | — |
| 682 | C2×C8 | — | 2 | 4 | no | — |
| 683 | C2×C8 | — | 4 | 1 | no | — |
| 684 | C2×C8 | — | 4 | 1 | no | — |
| 685 | C2×C8 | — | 4 | 1 | no | — |
| 686 | C2×C8 | — | 4 | 1 | no | — |
| 687 | C2×C8 | — | 4 | 2 | no | — |
| 688 | C2×C8 | — | 4 | 4 | no | — |
| 689 | C2×C8 | — | 4 | 4 | no | — |
| 690 | C2×C8 | — | 4 | 1 | no | — |
| 691 | C2×C8 | — | 4 | 1 | no | — |
| 692 | C2×C8 | — | 4 | 1 | no | — |
| 693 | C2×C8 | — | 4 | 4 | no | — |
| 694 | C2×C8 | — | 8 | 2 | no | — |
| 695 | C2×C8 | — | 8 | 2 | no | — |
| 696 | C2×C8 | C2×#123 | 1 | 2 | yes | — |
| 697 | C2×C8 | #525 | 1 | 2 | yes | — |
| 698 | C2×C8 | #535 | 1 | 2 | yes | — |
| 699 | C2×C8 | #538 | 1 | 2 | yes | — |
| 700 | C2×C8 | #538 | 1 | 2 | yes | — |
| 701 | C2×C8 | #538 | 1 | 2 | yes | — |
| 702 | C2×C8 | D42 | 1 | 1 | yes | characteristic |
| 703 | C2×C8 | #546 | 1 | 2 | yes | — |
| 704 | C2×C8 | #546 | 1 | 2 | yes | — |
| 705 | C2×C8 | #551 | 1 | 2 | yes | — |
| 706 | C2×C8 | #551 | 1 | 2 | yes | — |
| 707 | C2×C8 | #551 | 1 | 2 | yes | — |
| 708 | C2×C8 | #551 | 1 | 2 | yes | — |
| 709 | C2×C8 | #551 | 1 | 1 | yes | characteristic |
| 710 | C2×C8 | #560 | 1 | 1 | yes | characteristic |
| 711 | C2×C8 | #560 | 1 | 1 | yes | characteristic |
| 712 | C4⋊C4 | — | 4 | 2 | no | — |
| 713 | C4⋊C4 | — | 8 | 2 | no | — |
| 714 | C4⋊C4 | — | 8 | 2 | no | — |
| 715 | C4⋊C4 | — | 8 | 2 | no | — |
| 716 | C4⋊C4 | — | 8 | 2 | no | — |
| 717 | C4⋊C4 | — | 8 | 2 | no | — |
| 718 | C4⋊C4 | — | 8 | 2 | no | — |
| 719 | C4⋊C4 | — | 16 | 4 | no | — |
| 720 | C4⋊C4 | — | 16 | 4 | no | — |
| 721 | C22⋊C4 | — | 4 | 2 | no | — |
| 722 | C22⋊C4 | — | 8 | 4 | no | — |
| 723 | C22⋊C4 | — | 8 | 2 | no | — |
| 724 | C22⋊C4 | — | 8 | 2 | no | — |
| 725 | C22⋊C4 | — | 16 | 8 | no | — |
| 726 | C42 | — | 4 | 1 | no | — |
| 727 | C42 | — | 4 | 1 | no | — |
| 728 | C42 | — | 4 | 2 | no | — |
| 729 | C42 | — | 4 | 1 | no | — |
| 730 | C42 | — | 4 | 1 | no | — |
| 731 | C42 | — | 8 | 2 | no | — |
| 732 | C42 | — | 8 | 2 | no | — |
| 733 | C16 | — | 4 | 4 | no | — |
| 734 | C16 | — | 8 | 2 | no | — |
| 735 | C23 | — | 2 | 2 | no | — |
| 736 | C23 | — | 4 | 2 | no | — |
| 737 | C23 | — | 4 | 1 | no | — |
| 738 | C23 | — | 4 | 1 | no | — |
| 739 | C23 | — | 4 | 4 | no | — |
| 740 | C23 | — | 8 | 2 | no | — |
| 741 | C23 | — | 8 | 8 | no | — |
| 742 | C23 | — | 8 | 2 | no | — |
| 743 | C23 | — | 8 | 2 | no | — |
| 744 | C23 | — | 16 | 4 | no | — |
| 745 | C23 | — | 32 | 4 | no | — |
| 746 | C23 | #3110 | 1 | 1 | yes | characteristic |
| 747 | C23 | #3138 | 1 | 1 | yes | characteristic |
| 748 | C23 | #3192 | 1 | 1 | yes | characteristic |
| 749 | C23 | #3274 | 1 | 2 | yes | — |
| 750 | C23 | #3310 | 1 | 2 | yes | — |
| 751 | Q8 | — | 2 | 4 | no | — |
| 752 | Q8 | — | 4 | 2 | no | — |
| 753 | Q8 | — | 4 | 4 | no | — |
| 754 | Q8 | — | 4 | 4 | no | — |
| 755 | Q8 | — | 8 | 8 | no | — |
| 756 | Q8 | — | 8 | 2 | no | — |
| 757 | Q8 | — | 8 | 2 | no | — |
| 758 | D4 | — | 2 | 4 | no | — |
| 759 | D4 | — | 4 | 4 | no | — |
| 760 | D4 | — | 4 | 4 | no | — |
| 761 | D4 | — | 4 | 2 | no | — |
| 762 | D4 | — | 4 | 4 | no | — |
| 763 | D4 | — | 4 | 4 | no | — |
| 764 | D4 | — | 8 | 8 | no | — |
| 765 | D4 | — | 8 | 16 | no | — |
| 766 | D4 | — | 8 | 4 | no | — |
| 767 | D4 | — | 8 | 4 | no | — |
| 768 | D4 | — | 8 | 4 | no | — |
| 769 | D4 | — | 8 | 4 | no | — |
| 770 | D4 | — | 8 | 2 | no | — |
| 771 | D4 | — | 8 | 2 | no | — |
| 772 | C2×C4 | — | 2 | 4 | no | — |
| 773 | C2×C4 | — | 2 | 8 | no | — |
| 774 | C2×C4 | — | 2 | 2 | no | — |
| 775 | C2×C4 | — | 4 | 2 | no | — |
| 776 | C2×C4 | — | 4 | 4 | no | — |
| 777 | C2×C4 | — | 4 | 1 | no | — |
| 778 | C2×C4 | — | 4 | 2 | no | — |
| 779 | C2×C4 | — | 4 | 1 | no | — |
| 780 | C2×C4 | — | 4 | 2 | no | — |
| 781 | C2×C4 | — | 4 | 2 | no | — |
| 782 | C2×C4 | — | 4 | 2 | no | — |
| 783 | C2×C4 | — | 4 | 2 | no | — |
| 784 | C2×C4 | — | 4 | 4 | no | — |
| 785 | C2×C4 | — | 8 | 16 | no | — |
| 786 | C2×C4 | — | 8 | 8 | no | — |
| 787 | C2×C4 | — | 8 | 2 | no | — |
| 788 | C2×C4 | — | 8 | 2 | no | — |
| 789 | C2×C4 | — | 8 | 4 | no | — |
| 790 | C2×C4 | — | 8 | 4 | no | — |
| 791 | C2×C4 | — | 8 | 4 | no | — |
| 792 | C2×C4 | — | 8 | 4 | no | — |
| 793 | C2×C4 | — | 8 | 2 | no | — |
| 794 | C2×C4 | — | 8 | 1 | no | — |
| 795 | C2×C4 | — | 16 | 4 | no | — |
| 796 | C2×C4 | — | 16 | 4 | no | — |
| 797 | C2×C4 | — | 16 | 2 | no | — |
| 798 | C2×C4 | — | 16 | 2 | no | — |
| 799 | C2×C4 | — | 32 | 2 | no | — |
| 800 | C2×C4 | — | 32 | 2 | no | — |
| 801 | C2×C4 | #2418 | 1 | 2 | yes | — |
| 802 | C2×C4 | #2472 | 1 | 2 | yes | — |
| 803 | C2×C4 | #2561 | 1 | 1 | yes | characteristic |
| 804 | C2×C4 | #2669 | 1 | 1 | yes | characteristic |
| 805 | C2×C4 | #2697 | 1 | 1 | yes | characteristic |
| 806 | C2×C4 | #3109 | 1 | 1 | yes | characteristic |
| 807 | C2×C4 | #3118 | 1 | 2 | yes | — |
| 808 | C2×C4 | C2×#489 | 1 | 1 | yes | characteristic |
| 809 | C2×C4 | #3136 | 1 | 2 | yes | — |
| 810 | C2×C4 | #3193 | 1 | 1 | yes | characteristic |
| 811 | C2×C4 | #3199 | 1 | 1 | yes | characteristic |
| 812 | C2×C4 | #3200 | 1 | 1 | yes | characteristic |
| 813 | C2×C4 | #3264 | 1 | 2 | yes | — |
| 814 | C2×C4 | #3266 | 1 | 2 | yes | — |
| 815 | C2×C4 | #3272 | 1 | 2 | yes | — |
| 816 | C2×C4 | #3306 | 1 | 2 | yes | — |
| 817 | C2×C4 | #3314 | 1 | 2 | yes | — |
| 818 | C2×C4 | #3318 | 1 | 2 | yes | — |
| 819 | C8 | — | 4 | 2 | no | — |
| 820 | C8 | — | 4 | 2 | no | — |
| 821 | C8 | — | 8 | 1 | no | — |
| 822 | C8 | — | 8 | 4 | no | — |
| 823 | C8 | #2418 | 1 | 2 | yes | — |
| 824 | C8 | #2482 | 1 | 2 | yes | — |
| 825 | C8 | #2685 | 1 | 2 | yes | — |
| 826 | C8 | #2735 | 1 | 2 | yes | — |
| 827 | C22 | — | 2 | 2 | no | — |
| 828 | C22 | — | 2 | 4 | no | — |
| 829 | C22 | — | 4 | 2 | no | — |
| 830 | C22 | — | 4 | 1 | no | — |
| 831 | C22 | — | 4 | 1 | no | — |
| 832 | C22 | — | 4 | 2 | no | — |
| 833 | C22 | — | 8 | 2 | no | — |
| 834 | C22 | — | 8 | 2 | no | — |
| 835 | C22 | — | 8 | 4 | no | — |
| 836 | C22 | — | 16 | 1 | no | — |
| 837 | C22 | — | 16 | 4 | no | — |
| 838 | C22 | — | 16 | 4 | no | — |
| 839 | C22 | — | 32 | 2 | no | — |
| 840 | C22 | — | 32 | 8 | no | — |
| 841 | C22 | #24921 | 1 | 2 | yes | — |
| 842 | C22 | #27279 | 1 | 2 | yes | — |
| 843 | C22 | #29109 | 1 | 1 | yes | characteristic |
| 844 | C22 | #30509 | 1 | 1 | yes | characteristic |
| 845 | C22 | #31681 | 1 | 1 | yes | characteristic |
| 846 | C4 | — | 4 | 4 | no | — |
| 847 | C4 | — | 4 | 2 | no | — |
| 848 | C4 | — | 8 | 4 | no | — |
| 849 | C4 | — | 16 | 1 | no | — |
| 850 | C4 | — | 32 | 2 | no | — |
| 851 | C4 | — | 32 | 2 | no | — |
| 852 | C4 | #15284 | 1 | 1 | yes | characteristic |
| 853 | C4 | #24913 | 1 | 2 | yes | — |
| 854 | C4 | #27262 | 1 | 2 | yes | — |
| 855 | C4 | #29116 | 1 | 1 | yes | characteristic |
| 856 | C4 | #30510 | 1 | 1 | yes | characteristic |
| 857 | C4 | #31680 | 1 | 1 | yes | characteristic |
| 858 | C2 | — | 2 | 1 | no | — |
| 859 | C2 | — | 2 | 2 | no | — |
| 860 | C2 | — | 2 | 1 | no | — |
| 861 | C2 | — | 2 | 2 | no | — |
| 862 | C2 | — | 8 | 2 | no | — |
| 863 | C2 | — | 16 | 4 | no | — |
| 864 | C2 | #421082 | 1 | 1 | yes | characteristic |
| 865 | C2 | #510518 | 1 | 2 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | #31681 |
| commutator, Frattini, cosocle | C23×C8 | C24 |
| prime radical | C2×#3584 | C22 |
| LCS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C23×C4 ◁ #20383 ◁ G | |
| LECS | G ▷ C23×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#13156 | C2 | semidirect |
| 3. #412790 | C2 | semidirect |
| 5. #148660 | C2 | semidirect |
| 6. #148509 | C2 | semidirect |
| 7. #148132 | C2 | semidirect |
| 8. #148039 | C2 | semidirect |
| 9. #147382 | C2 | semidirect |
| 16. C2×#2110 | C22 | semidirect |
| 20. C2×#1951 | C22 | semidirect |
| 21. C2×#1844 | C22 | semidirect |
| 29. C2×#1389 | C22 | semidirect |
| 30. C2×#1386 | C22 | semidirect |
| 31. C2×#1386 | C22 | semidirect |
| 32. #12563 | C22 | semidirect |
| 33. #12549 | C22 | semidirect |
| 34. #12544 | C22 | semidirect |
| 40. #10864 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#13156 | 2 |
| C2×#12752 | 2 |
| #412790 | 2 |
| #361674 | 2 |
| #148660 | 2 |
| #148509 | 2 |
| #148132 | 2 |
| #148039 | 2 |
| #147382 | 2 |