Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
1468 conjugacy classes of subgroups.
The subgroup lattice has 870 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72321570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72321119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72321119 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72320570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#94614 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C2×#94614 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72232007 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#33982 | C4 | 1 | 1 | yes | characteristic |
| 9 | C4×#3415 | — | 2 | 1 | no | — |
| 10 | #512770 | — | 2 | 1 | no | — |
| 11 | #512770 | C4 | 1 | 1 | yes | characteristic |
| 12 | #512766 | — | 2 | 1 | no | — |
| 13 | #512766 | C4 | 1 | 1 | yes | characteristic |
| 14 | #512764 | — | 2 | 1 | no | — |
| 15 | #512764 | — | 2 | 2 | no | — |
| 16 | C4×#2263 | — | 2 | 1 | no | — |
| 17 | C4×#2263 | — | 2 | 2 | no | — |
| 18 | #512761 | — | 2 | 1 | no | — |
| 19 | #512761 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#13654 | — | 2 | 1 | no | — |
| 21 | C2×#13654 | C22 | 1 | 1 | yes | characteristic |
| 22 | #512720 | C4 | 1 | 1 | yes | characteristic |
| 23 | #512691 | — | 2 | 1 | no | — |
| 24 | #512545 | C22 | 1 | 1 | yes | characteristic |
| 25 | #153432 | — | 2 | 1 | no | — |
| 26 | C2×#7511 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×#7511 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C2×#7464 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | C2×#7464 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | #134683 | — | 2 | 1 | no | — |
| 31 | #94759 | — | 2 | 1 | no | — |
| 32 | #94615 | — | 2 | 1 | no | — |
| 33 | #94615 | — | 2 | 1 | no | — |
| 34 | #94614 | — | 2 | 2 | no | — |
| 35 | #94614 | — | 2 | 2 | no | — |
| 36 | #94614 | — | 2 | 1 | no | — |
| 37 | #94614 | — | 2 | 1 | no | — |
| 38 | #94029 | — | 2 | 1 | no | — |
| 39 | C2×#3415 | — | 2 | 1 | no | — |
| 40 | C4×#576 | — | 4 | 1 | no | — |
| 41 | #33982 | — | 2 | 2 | no | — |
| 42 | #33982 | — | 2 | 2 | no | — |
| 43 | #33982 | — | 2 | 2 | no | — |
| 44 | #33982 | C8 | 1 | 4 | yes | — |
| 45 | C2×#2263 | — | 2 | 2 | no | — |
| 46 | C2×#2263 | — | 2 | 1 | no | — |
| 47 | C2×#2262 | — | 2 | 1 | no | — |
| 48 | C2×#2262 | C2×C4 | 1 | 1 | yes | characteristic |
| 49 | C22×D32 | — | 2 | 1 | no | — |
| 50 | C22×D32 | C2×C4 | 1 | 1 | yes | characteristic |
| 51 | C2×#2258 | C2×C4 | 1 | 1 | yes | characteristic |
| 52 | C2×#2258 | D4 | 1 | 1 | yes | characteristic |
| 53 | #33459 | — | 2 | 2 | no | — |
| 54 | #33459 | — | 2 | 1 | no | — |
| 55 | #33456 | — | 2 | 2 | no | — |
| 56 | #33456 | — | 2 | 1 | no | — |
| 57 | #33454 | — | 4 | 2 | no | — |
| 58 | #33454 | — | 4 | 1 | no | — |
| 59 | C4×#509 | — | 4 | 2 | no | — |
| 60 | C4×#509 | — | 4 | 1 | no | — |
| 61 | C4×#508 | — | 2 | 2 | no | — |
| 62 | C4×#508 | — | 2 | 1 | no | — |
| 63 | C2×C4×D16 | — | 2 | 2 | no | — |
| 64 | C2×C4×D16 | — | 2 | 1 | no | — |
| 65 | #33410 | — | 2 | 1 | no | — |
| 66 | #33381 | — | 4 | 1 | no | — |
| 67 | C4×#504 | D4 | 1 | 1 | yes | characteristic |
| 68 | C2×M128 | — | 2 | 1 | no | — |
| 69 | C2×M128 | — | 2 | 1 | no | — |
| 70 | #13654 | — | 2 | 2 | no | — |
| 71 | #13654 | — | 2 | 2 | no | — |
| 72 | #13654 | — | 2 | 1 | no | — |
| 73 | #13654 | — | 2 | 1 | no | — |
| 74 | #13654 | — | 2 | 1 | no | — |
| 75 | #13654 | — | 2 | 1 | no | — |
| 76 | #13654 | — | 2 | 1 | no | — |
| 77 | #13654 | D4 | 1 | 1 | yes | characteristic |
| 78 | #13654 | D4 | 1 | 2 | yes | — |
| 79 | #13654 | D4 | 1 | 2 | yes | — |
| 80 | #13654 | D4 | 1 | 1 | yes | characteristic |
| 81 | #13653 | — | 2 | 1 | no | — |
| 82 | #13653 | D4 | 1 | 1 | yes | characteristic |
| 83 | #13653 | D4 | 1 | 1 | yes | characteristic |
| 84 | #13652 | — | 2 | 2 | no | — |
| 85 | #13652 | — | 2 | 2 | no | — |
| 86 | #13652 | — | 2 | 1 | no | — |
| 87 | #13652 | — | 2 | 1 | no | — |
| 88 | C4×SD64 | — | 2 | 2 | no | — |
| 89 | C4×SD64 | — | 2 | 2 | no | — |
| 90 | C4×SD64 | — | 2 | 2 | no | — |
| 91 | C4×D32 | — | 2 | 2 | no | — |
| 92 | C4×D32 | — | 2 | 2 | no | — |
| 93 | C4×D32 | — | 2 | 2 | no | — |
| 94 | #13634 | — | 2 | 1 | no | — |
| 95 | #13634 | — | 2 | 2 | no | — |
| 96 | #13633 | — | 2 | 1 | no | — |
| 97 | #13633 | C2×C4 | 1 | 1 | yes | characteristic |
| 98 | C2×#1424 | — | 2 | 1 | no | — |
| 99 | C2×#1424 | C2×C4 | 1 | 1 | yes | characteristic |
| 100 | #13617 | — | 2 | 2 | no | — |
| 101 | #13617 | — | 2 | 1 | no | — |
| 102 | #13616 | — | 2 | 2 | no | — |
| 103 | #13616 | — | 2 | 1 | no | — |
| 104 | #13615 | — | 2 | 2 | no | — |
| 105 | #13615 | — | 2 | 1 | no | — |
| 106 | C2×#1415 | — | 2 | 2 | no | — |
| 107 | C2×#1415 | — | 2 | 1 | no | — |
| 108 | #13549 | — | 2 | 1 | no | — |
| 109 | #13549 | — | 2 | 1 | no | — |
| 110 | #13549 | C2×C4 | 1 | 1 | yes | characteristic |
| 111 | #13549 | D4 | 1 | 1 | yes | characteristic |
| 112 | C4×M64 | — | 2 | 1 | no | — |
| 113 | C4×M64 | D4 | 1 | 1 | yes | characteristic |
| 114 | C2×#1397 | — | 2 | 1 | no | — |
| 115 | C2×#1397 | C23 | 1 | 1 | yes | characteristic |
| 116 | #12792 | — | 4 | 1 | no | — |
| 117 | C2×#1373 | — | 2 | 1 | no | — |
| 118 | C2×#1373 | — | 2 | 1 | no | — |
| 119 | #7514 | — | 2 | 4 | no | — |
| 120 | #7511 | — | 2 | 1 | no | — |
| 121 | #7511 | — | 2 | 1 | no | — |
| 122 | #7511 | — | 2 | 1 | no | — |
| 123 | #7511 | — | 2 | 1 | no | — |
| 124 | #7464 | — | 2 | 1 | no | — |
| 125 | #7464 | — | 2 | 1 | no | — |
| 126 | #7464 | — | 2 | 1 | no | — |
| 127 | #7464 | — | 2 | 1 | no | — |
| 128 | #7162 | — | 4 | 1 | no | — |
| 129 | C2×#576 | — | 4 | 1 | no | — |
| 130 | C4×H(5,𝔽2) | — | 8 | 1 | no | — |
| 131 | #3415 | — | 2 | 4 | no | — |
| 132 | #3415 | — | 2 | 4 | no | — |
| 133 | #3415 | — | 4 | 2 | no | — |
| 134 | #3415 | — | 4 | 2 | no | — |
| 135 | C2×#509 | — | 4 | 2 | no | — |
| 136 | C2×#509 | — | 4 | 1 | no | — |
| 137 | C2×#508 | — | 2 | 2 | no | — |
| 138 | C2×#508 | — | 2 | 1 | no | — |
| 139 | C22×D16 | — | 2 | 2 | no | — |
| 140 | C22×D16 | — | 2 | 1 | no | — |
| 141 | C2×#504 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 142 | C2×#504 | SD16 | 1 | 1 | yes | characteristic |
| 143 | #2951 | — | 4 | 2 | no | — |
| 144 | #2951 | — | 4 | 1 | no | — |
| 145 | #2948 | — | 4 | 2 | no | — |
| 146 | #2948 | — | 4 | 1 | no | — |
| 147 | #2946 | — | 8 | 2 | no | — |
| 148 | #2946 | — | 8 | 1 | no | — |
| 149 | C4×AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 150 | C4×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 151 | C4×#135 | — | 4 | 2 | no | — |
| 152 | C4×#135 | — | 4 | 1 | no | — |
| 153 | C2×C4×D8 | — | 4 | 2 | no | — |
| 154 | C2×C4×D8 | — | 4 | 1 | no | — |
| 155 | #2913 | — | 4 | 1 | no | — |
| 156 | #2897 | — | 8 | 1 | no | — |
| 157 | C4×#131 | D8 | 1 | 1 | yes | characteristic |
| 158 | #2263 | — | 2 | 4 | no | — |
| 159 | #2263 | — | 2 | 8 | no | — |
| 160 | #2263 | — | 2 | 8 | no | — |
| 161 | #2263 | — | 2 | 4 | no | — |
| 162 | #2262 | — | 2 | 4 | no | — |
| 163 | #2262 | — | 2 | 4 | no | — |
| 164 | #2262 | — | 2 | 1 | no | — |
| 165 | #2262 | — | 2 | 1 | no | — |
| 166 | #2262 | C2×C8 | 1 | 2 | yes | — |
| 167 | #2262 | M16 | 1 | 2 | yes | — |
| 168 | C2×Q64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 169 | C2×SD64 | — | 2 | 2 | no | — |
| 170 | C2×SD64 | — | 2 | 1 | no | — |
| 171 | C2×D32 | — | 2 | 2 | no | — |
| 172 | C2×D32 | — | 2 | 4 | no | — |
| 173 | C2×D32 | — | 2 | 4 | no | — |
| 174 | C2×D32 | — | 2 | 1 | no | — |
| 175 | C2×D32 | — | 2 | 1 | no | — |
| 176 | C2×D32 | — | 2 | 1 | no | — |
| 177 | C2×D32 | C22⋊C4 | 1 | 2 | yes | — |
| 178 | C2×D32 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 179 | C2×D32 | C2×C8 | 1 | 2 | yes | — |
| 180 | C2×D32 | M16 | 1 | 2 | yes | — |
| 181 | #2258 | — | 2 | 1 | no | — |
| 182 | #2258 | — | 2 | 1 | no | — |
| 183 | #2258 | — | 2 | 2 | no | — |
| 184 | #2258 | — | 4 | 1 | no | — |
| 185 | #2258 | C2×C8 | 1 | 2 | yes | — |
| 186 | #2258 | M16 | 1 | 2 | yes | — |
| 187 | C2×M64 | — | 2 | 1 | no | — |
| 188 | C2×M64 | — | 2 | 1 | no | — |
| 189 | C2×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 190 | C2×M64 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 191 | C22×C32 | — | 2 | 1 | no | — |
| 192 | C22×C32 | — | 2 | 1 | no | — |
| 193 | C22×C32 | C22×C4 | 1 | 1 | yes | characteristic |
| 194 | C22×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | #2177 | — | 4 | 2 | no | — |
| 196 | #2177 | — | 4 | 2 | no | — |
| 197 | #2177 | — | 4 | 2 | no | — |
| 198 | #2175 | — | 4 | 2 | no | — |
| 199 | #2175 | — | 4 | 2 | no | — |
| 200 | #2175 | — | 4 | 2 | no | — |
| 201 | C4×Q32 | — | 2 | 2 | no | — |
| 202 | C4×Q32 | — | 2 | 1 | no | — |
| 203 | C4×Q32 | — | 2 | 1 | no | — |
| 204 | C4×SD32 | — | 4 | 2 | no | — |
| 205 | C4×SD32 | — | 4 | 2 | no | — |
| 206 | C4×SD32 | — | 4 | 1 | no | — |
| 207 | C4×SD32 | — | 4 | 1 | no | — |
| 208 | C4×D16 | — | 2 | 2 | no | — |
| 209 | C4×D16 | — | 2 | 2 | no | — |
| 210 | C4×D16 | — | 2 | 2 | no | — |
| 211 | C4×D16 | — | 2 | 1 | no | — |
| 212 | C4×D16 | — | 2 | 2 | no | — |
| 213 | C4×D16 | — | 2 | 2 | no | — |
| 214 | C4×D16 | — | 2 | 1 | no | — |
| 215 | C4×D16 | — | 4 | 2 | no | — |
| 216 | C4×D16 | — | 4 | 2 | no | — |
| 217 | C4×D16 | — | 4 | 1 | no | — |
| 218 | C4×D16 | — | 4 | 1 | no | — |
| 219 | #2159 | — | 4 | 2 | no | — |
| 220 | #2159 | — | 4 | 1 | no | — |
| 221 | #2158 | — | 2 | 2 | no | — |
| 222 | #2158 | — | 2 | 1 | no | — |
| 223 | C2×#366 | — | 2 | 2 | no | — |
| 224 | C2×#366 | — | 2 | 1 | no | — |
| 225 | C2×#364 | — | 4 | 1 | no | — |
| 226 | C2×#364 | — | 4 | 1 | no | — |
| 227 | #2140 | — | 4 | 2 | no | — |
| 228 | #2140 | — | 4 | 1 | no | — |
| 229 | #2139 | — | 4 | 2 | no | — |
| 230 | #2139 | — | 4 | 1 | no | — |
| 231 | #2138 | — | 4 | 2 | no | — |
| 232 | #2138 | — | 4 | 1 | no | — |
| 233 | C2×#357 | — | 4 | 2 | no | — |
| 234 | C2×#357 | — | 4 | 1 | no | — |
| 235 | #2117 | — | 8 | 1 | no | — |
| 236 | #2108 | — | 2 | 1 | no | — |
| 237 | #2108 | — | 2 | 1 | no | — |
| 238 | #2108 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 239 | #2108 | SD16 | 1 | 1 | yes | characteristic |
| 240 | C4×M32 | — | 2 | 1 | no | — |
| 241 | C4×M32 | D8 | 1 | 1 | yes | characteristic |
| 242 | C2×C4×C16 | — | 2 | 1 | no | — |
| 243 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | M128 | — | 2 | 2 | no | — |
| 245 | M128 | — | 4 | 1 | no | — |
| 246 | M128 | — | 4 | 1 | no | — |
| 247 | M128 | — | 4 | 1 | no | — |
| 248 | C2×C64 | — | 2 | 2 | no | — |
| 249 | C2×C64 | — | 4 | 1 | no | — |
| 250 | #1424 | — | 2 | 2 | no | — |
| 251 | #1424 | — | 2 | 1 | no | — |
| 252 | #1424 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 253 | #1424 | C22⋊C4 | 1 | 2 | yes | — |
| 254 | #1424 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 255 | #1423 | — | 2 | 2 | no | — |
| 256 | #1423 | — | 2 | 1 | no | — |
| 257 | #1416 | — | 2 | 2 | no | — |
| 258 | #1416 | — | 2 | 1 | no | — |
| 259 | #1416 | — | 2 | 1 | no | — |
| 260 | #1415 | — | 2 | 2 | no | — |
| 261 | #1415 | — | 2 | 2 | no | — |
| 262 | #1415 | — | 2 | 2 | no | — |
| 263 | #1415 | — | 2 | 1 | no | — |
| 264 | #1415 | — | 2 | 2 | no | — |
| 265 | #1415 | — | 2 | 2 | no | — |
| 266 | #1415 | — | 2 | 1 | no | — |
| 267 | #1397 | — | 2 | 1 | no | — |
| 268 | #1397 | — | 2 | 1 | no | — |
| 269 | #1397 | — | 2 | 1 | no | — |
| 270 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 271 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C4×C32 | — | 2 | 1 | no | — |
| 275 | C4×C32 | — | 2 | 1 | no | — |
| 276 | C4×C32 | — | 2 | 1 | no | — |
| 277 | #1378 | — | 8 | 1 | no | — |
| 278 | #1373 | — | 4 | 1 | no | — |
| 279 | #1373 | — | 4 | 1 | no | — |
| 280 | #1373 | — | 4 | 1 | no | — |
| 281 | #1373 | — | 4 | 1 | no | — |
| 282 | C2×H(5,𝔽2) | — | 8 | 1 | no | — |
| 283 | #576 | — | 4 | 4 | no | — |
| 284 | #576 | — | 4 | 4 | no | — |
| 285 | #576 | — | 8 | 2 | no | — |
| 286 | #576 | — | 8 | 2 | no | — |
| 287 | C2×AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 288 | C2×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 289 | C2×#135 | — | 4 | 2 | no | — |
| 290 | C2×#135 | — | 4 | 1 | no | — |
| 291 | C22×D8 | — | 4 | 2 | no | — |
| 292 | C22×D8 | — | 4 | 1 | no | — |
| 293 | C2×#131 | #102 | 1 | 1 | yes | characteristic |
| 294 | C2×#131 | D16 | 1 | 1 | yes | characteristic |
| 295 | #520 | — | 8 | 1 | no | — |
| 296 | #520 | — | 8 | 2 | no | — |
| 297 | #520 | — | 8 | 1 | no | — |
| 298 | #520 | — | 16 | 1 | no | — |
| 299 | #518 | — | 8 | 2 | no | — |
| 300 | #518 | — | 8 | 1 | no | — |
| 301 | #518 | — | 16 | 1 | no | — |
| 302 | #518 | — | 16 | 2 | no | — |
| 303 | C4×#41 | — | 8 | 2 | no | — |
| 304 | C4×#41 | — | 8 | 1 | no | — |
| 305 | C4×#41 | — | 16 | 1 | no | — |
| 306 | C4×#41 | SD32 | 1 | 1 | yes | characteristic |
| 307 | C2×C4×D4 | — | 8 | 2 | no | — |
| 308 | C2×C4×D4 | — | 8 | 1 | no | — |
| 309 | C2×C4×D4 | — | 16 | 1 | no | — |
| 310 | C2×C4×D4 | — | 16 | 2 | no | — |
| 311 | #509 | — | 4 | 4 | no | — |
| 312 | #509 | — | 4 | 8 | no | — |
| 313 | #509 | — | 4 | 8 | no | — |
| 314 | #509 | — | 4 | 4 | no | — |
| 315 | #508 | — | 2 | 8 | no | — |
| 316 | #508 | — | 2 | 2 | no | — |
| 317 | #508 | — | 2 | 2 | no | — |
| 318 | #508 | — | 4 | 4 | no | — |
| 319 | #508 | — | 4 | 1 | no | — |
| 320 | #508 | — | 4 | 1 | no | — |
| 321 | C2×Q32 | — | 2 | 1 | no | — |
| 322 | C2×SD32 | — | 4 | 2 | no | — |
| 323 | C2×SD32 | — | 4 | 1 | no | — |
| 324 | C2×D16 | — | 2 | 8 | no | — |
| 325 | C2×D16 | — | 2 | 1 | no | — |
| 326 | C2×D16 | — | 2 | 2 | no | — |
| 327 | C2×D16 | — | 2 | 2 | no | — |
| 328 | C2×D16 | — | 2 | 2 | no | — |
| 329 | C2×D16 | — | 4 | 2 | no | — |
| 330 | C2×D16 | — | 4 | 4 | no | — |
| 331 | C2×D16 | — | 4 | 1 | no | — |
| 332 | C2×D16 | — | 4 | 1 | no | — |
| 333 | C2×D16 | — | 4 | 1 | no | — |
| 334 | #504 | — | 2 | 1 | no | — |
| 335 | #504 | — | 2 | 1 | no | — |
| 336 | #504 | — | 2 | 2 | no | — |
| 337 | #504 | — | 4 | 1 | no | — |
| 338 | #504 | C22⋊C8 | 1 | 2 | yes | — |
| 339 | #504 | #104 | 1 | 2 | yes | — |
| 340 | C2×M32 | — | 2 | 1 | no | — |
| 341 | C2×M32 | — | 2 | 1 | no | — |
| 342 | C2×M32 | — | 8 | 1 | no | — |
| 343 | C2×M32 | — | 8 | 1 | no | — |
| 344 | C2×M32 | #102 | 1 | 1 | yes | characteristic |
| 345 | C2×M32 | #102 | 1 | 1 | yes | characteristic |
| 346 | C22×C16 | — | 2 | 1 | no | — |
| 347 | C22×C16 | — | 2 | 1 | no | — |
| 348 | C22×C16 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 349 | C22×C16 | C2×SD16 | 1 | 1 | yes | characteristic |
| 350 | #442 | — | 8 | 2 | no | — |
| 351 | #442 | — | 8 | 2 | no | — |
| 352 | #442 | — | 8 | 2 | no | — |
| 353 | #440 | — | 8 | 2 | no | — |
| 354 | #440 | — | 8 | 2 | no | — |
| 355 | #440 | — | 8 | 2 | no | — |
| 356 | C4×Q16 | — | 4 | 2 | no | — |
| 357 | C4×Q16 | — | 4 | 1 | no | — |
| 358 | C4×Q16 | — | 4 | 1 | no | — |
| 359 | C4×SD16 | — | 8 | 2 | no | — |
| 360 | C4×SD16 | — | 8 | 2 | no | — |
| 361 | C4×SD16 | — | 8 | 1 | no | — |
| 362 | C4×SD16 | — | 8 | 1 | no | — |
| 363 | C4×D8 | — | 4 | 2 | no | — |
| 364 | C4×D8 | — | 4 | 2 | no | — |
| 365 | C4×D8 | — | 4 | 2 | no | — |
| 366 | C4×D8 | — | 4 | 1 | no | — |
| 367 | C4×D8 | — | 4 | 2 | no | — |
| 368 | C4×D8 | — | 4 | 2 | no | — |
| 369 | C4×D8 | — | 4 | 1 | no | — |
| 370 | C4×D8 | — | 8 | 2 | no | — |
| 371 | C4×D8 | — | 8 | 2 | no | — |
| 372 | C4×D8 | — | 8 | 1 | no | — |
| 373 | C4×D8 | — | 8 | 1 | no | — |
| 374 | #428 | — | 8 | 2 | no | — |
| 375 | #428 | — | 8 | 1 | no | — |
| 376 | #427 | — | 4 | 2 | no | — |
| 377 | #427 | — | 4 | 1 | no | — |
| 378 | C2×#107 | — | 4 | 2 | no | — |
| 379 | C2×#107 | — | 4 | 1 | no | — |
| 380 | #418 | — | 8 | 2 | no | — |
| 381 | #418 | — | 8 | 1 | no | — |
| 382 | #417 | — | 8 | 2 | no | — |
| 383 | #417 | — | 8 | 1 | no | — |
| 384 | #416 | — | 8 | 2 | no | — |
| 385 | #416 | — | 8 | 1 | no | — |
| 386 | C2×#102 | — | 8 | 2 | no | — |
| 387 | C2×#102 | — | 8 | 1 | no | — |
| 388 | #405 | — | 2 | 1 | no | — |
| 389 | #405 | — | 2 | 1 | no | — |
| 390 | #405 | #102 | 1 | 1 | yes | characteristic |
| 391 | #405 | D16 | 1 | 1 | yes | characteristic |
| 392 | C4×M16 | — | 2 | 1 | no | — |
| 393 | C4×M16 | SD32 | 1 | 1 | yes | characteristic |
| 394 | C2×C4×C8 | — | 2 | 1 | no | — |
| 395 | C2×C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 396 | Q64 | — | 2 | 1 | no | — |
| 397 | Q64 | C22⋊C8 | 1 | 2 | yes | — |
| 398 | SD64 | — | 2 | 8 | no | — |
| 399 | SD64 | — | 2 | 2 | no | — |
| 400 | SD64 | — | 2 | 2 | no | — |
| 401 | D32 | — | 2 | 8 | no | — |
| 402 | D32 | — | 2 | 2 | no | — |
| 403 | D32 | — | 2 | 1 | no | — |
| 404 | D32 | — | 2 | 2 | no | — |
| 405 | D32 | — | 2 | 2 | no | — |
| 406 | D32 | C22⋊C8 | 1 | 2 | yes | — |
| 407 | D32 | C22⋊C8 | 1 | 4 | yes | — |
| 408 | M64 | — | 2 | 1 | no | — |
| 409 | M64 | — | 2 | 2 | no | — |
| 410 | M64 | — | 2 | 2 | no | — |
| 411 | M64 | — | 2 | 1 | no | — |
| 412 | M64 | — | 2 | 1 | no | — |
| 413 | M64 | — | 4 | 2 | no | — |
| 414 | M64 | C22⋊C8 | 1 | 2 | yes | — |
| 415 | C2×C32 | — | 2 | 1 | no | — |
| 416 | C2×C32 | — | 2 | 1 | no | — |
| 417 | C2×C32 | — | 2 | 1 | no | — |
| 418 | C2×C32 | — | 2 | 2 | no | — |
| 419 | C2×C32 | — | 2 | 2 | no | — |
| 420 | C2×C32 | — | 2 | 1 | no | — |
| 421 | C2×C32 | — | 4 | 2 | no | — |
| 422 | C2×C32 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 423 | C2×C32 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 424 | C2×C32 | #120 | 1 | 1 | yes | characteristic |
| 425 | C2×C32 | #120 | 1 | 1 | yes | characteristic |
| 426 | C2×C32 | C22×C8 | 1 | 1 | yes | characteristic |
| 427 | C2×C32 | C2×M16 | 1 | 1 | yes | characteristic |
| 428 | C2×C32 | C2×M16 | 1 | 1 | yes | characteristic |
| 429 | C2×C32 | C2×M16 | 1 | 1 | yes | characteristic |
| 430 | #367 | — | 4 | 2 | no | — |
| 431 | #367 | — | 4 | 1 | no | — |
| 432 | #366 | — | 2 | 1 | no | — |
| 433 | #366 | — | 2 | 2 | no | — |
| 434 | #366 | — | 2 | 1 | no | — |
| 435 | #366 | — | 4 | 2 | no | — |
| 436 | #366 | — | 4 | 1 | no | — |
| 437 | #364 | — | 8 | 1 | no | — |
| 438 | #364 | — | 8 | 1 | no | — |
| 439 | #364 | — | 8 | 1 | no | — |
| 440 | #364 | — | 8 | 1 | no | — |
| 441 | #358 | — | 4 | 2 | no | — |
| 442 | #358 | — | 4 | 1 | no | — |
| 443 | #358 | — | 4 | 1 | no | — |
| 444 | #357 | — | 4 | 2 | no | — |
| 445 | #357 | — | 4 | 2 | no | — |
| 446 | #357 | — | 4 | 2 | no | — |
| 447 | #357 | — | 4 | 1 | no | — |
| 448 | #357 | — | 4 | 2 | no | — |
| 449 | #357 | — | 4 | 2 | no | — |
| 450 | #357 | — | 4 | 1 | no | — |
| 451 | #350 | — | 16 | 2 | no | — |
| 452 | #346 | — | 2 | 1 | no | — |
| 453 | #346 | — | 2 | 1 | no | — |
| 454 | #346 | — | 2 | 1 | no | — |
| 455 | C4×C16 | — | 2 | 1 | no | — |
| 456 | C4×C16 | — | 2 | 1 | no | — |
| 457 | C4×C16 | — | 2 | 1 | no | — |
| 458 | C4×C16 | #120 | 1 | 1 | yes | characteristic |
| 459 | C4×C16 | #120 | 1 | 1 | yes | characteristic |
| 460 | C4×C16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 461 | C4×C16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 462 | C64 | — | 4 | 2 | no | — |
| 463 | C64 | — | 4 | 2 | no | — |
| 464 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 465 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 466 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 467 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 468 | C2×#41 | — | 8 | 2 | no | — |
| 469 | C2×#41 | — | 8 | 1 | no | — |
| 470 | C2×#41 | — | 16 | 1 | no | — |
| 471 | C2×#41 | #357 | 1 | 1 | yes | characteristic |
| 472 | C22×D4 | — | 8 | 2 | no | — |
| 473 | C22×D4 | — | 8 | 1 | no | — |
| 474 | C22×D4 | — | 16 | 2 | no | — |
| 475 | C22×D4 | — | 16 | 1 | no | — |
| 476 | C23×C4 | — | 16 | 2 | no | — |
| 477 | C23×C4 | — | 16 | 1 | no | — |
| 478 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 479 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 480 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 481 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 482 | #135 | — | 4 | 8 | no | — |
| 483 | #135 | — | 4 | 2 | no | — |
| 484 | #135 | — | 4 | 2 | no | — |
| 485 | #135 | — | 8 | 4 | no | — |
| 486 | #135 | — | 8 | 1 | no | — |
| 487 | #135 | — | 8 | 1 | no | — |
| 488 | C2×Q16 | — | 4 | 1 | no | — |
| 489 | C2×SD16 | — | 8 | 2 | no | — |
| 490 | C2×SD16 | — | 8 | 1 | no | — |
| 491 | C2×D8 | — | 4 | 8 | no | — |
| 492 | C2×D8 | — | 4 | 2 | no | — |
| 493 | C2×D8 | — | 4 | 2 | no | — |
| 494 | C2×D8 | — | 4 | 1 | no | — |
| 495 | C2×D8 | — | 4 | 2 | no | — |
| 496 | C2×D8 | — | 8 | 2 | no | — |
| 497 | C2×D8 | — | 8 | 4 | no | — |
| 498 | C2×D8 | — | 8 | 1 | no | — |
| 499 | C2×D8 | — | 8 | 1 | no | — |
| 500 | C2×D8 | — | 8 | 1 | no | — |
| 501 | #131 | — | 2 | 1 | no | — |
| 502 | #131 | — | 2 | 1 | no | — |
| 503 | #131 | — | 2 | 2 | no | — |
| 504 | #131 | — | 4 | 1 | no | — |
| 505 | #131 | D4⋊C8 | 1 | 2 | yes | — |
| 506 | #131 | #359 | 1 | 2 | yes | — |
| 507 | C2×M16 | — | 2 | 1 | no | — |
| 508 | C2×M16 | — | 2 | 1 | no | — |
| 509 | C2×M16 | #357 | 1 | 1 | yes | characteristic |
| 510 | C2×M16 | #357 | 1 | 1 | yes | characteristic |
| 511 | C22×C8 | — | 2 | 1 | no | — |
| 512 | C22×C8 | — | 2 | 1 | no | — |
| 513 | C22×C8 | C2×#102 | 1 | 1 | yes | characteristic |
| 514 | C22×C8 | C2×D16 | 1 | 1 | yes | characteristic |
| 515 | C4×Q8 | — | 2 | 1 | no | — |
| 516 | C4×Q8 | — | 8 | 2 | no | — |
| 517 | C4×Q8 | — | 8 | 1 | no | — |
| 518 | C4×Q8 | — | 8 | 1 | no | — |
| 519 | C4×Q8 | — | 16 | 1 | no | — |
| 520 | C4×D4 | — | 2 | 1 | no | — |
| 521 | C4×D4 | — | 2 | 2 | no | — |
| 522 | C4×D4 | — | 8 | 2 | no | — |
| 523 | C4×D4 | — | 8 | 2 | no | — |
| 524 | C4×D4 | — | 8 | 2 | no | — |
| 525 | C4×D4 | — | 8 | 1 | no | — |
| 526 | C4×D4 | — | 8 | 2 | no | — |
| 527 | C4×D4 | — | 8 | 2 | no | — |
| 528 | C4×D4 | — | 8 | 1 | no | — |
| 529 | C4×D4 | — | 16 | 2 | no | — |
| 530 | C4×D4 | — | 16 | 1 | no | — |
| 531 | C4×D4 | — | 16 | 2 | no | — |
| 532 | C4×D4 | — | 16 | 1 | no | — |
| 533 | C4×D4 | — | 16 | 2 | no | — |
| 534 | C4×D4 | — | 16 | 2 | no | — |
| 535 | C4×D4 | — | 16 | 2 | no | — |
| 536 | C4×D4 | — | 16 | 1 | no | — |
| 537 | C4×D4 | — | 16 | 2 | no | — |
| 538 | C4×D4 | — | 16 | 1 | no | — |
| 539 | C4×D4 | — | 16 | 2 | no | — |
| 540 | C4×D4 | — | 16 | 1 | no | — |
| 541 | C4×D4 | — | 16 | 2 | no | — |
| 542 | C4×D4 | — | 16 | 1 | no | — |
| 543 | C4×D4 | — | 16 | 2 | no | — |
| 544 | C4×D4 | — | 16 | 1 | no | — |
| 545 | C4×D4 | — | 16 | 2 | no | — |
| 546 | #117 | — | 2 | 1 | no | — |
| 547 | #117 | — | 8 | 2 | no | — |
| 548 | #117 | — | 8 | 1 | no | — |
| 549 | #117 | — | 16 | 2 | no | — |
| 550 | #117 | — | 16 | 1 | no | — |
| 551 | #117 | — | 16 | 2 | no | — |
| 552 | #117 | — | 16 | 1 | no | — |
| 553 | #117 | #357 | 1 | 1 | yes | characteristic |
| 554 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 555 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 556 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 557 | C2×C4⋊C4 | — | 16 | 1 | no | — |
| 558 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 559 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 560 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 561 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 562 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 563 | C2×C42 | — | 2 | 1 | no | — |
| 564 | C2×C42 | — | 16 | 2 | no | — |
| 565 | C2×C42 | — | 16 | 1 | no | — |
| 566 | C2×C42 | C2×SD32 | 1 | 1 | yes | characteristic |
| 567 | Q32 | — | 2 | 2 | no | — |
| 568 | Q32 | — | 4 | 1 | no | — |
| 569 | SD32 | — | 4 | 8 | no | — |
| 570 | SD32 | — | 4 | 2 | no | — |
| 571 | SD32 | — | 4 | 2 | no | — |
| 572 | D16 | — | 2 | 2 | no | — |
| 573 | D16 | — | 2 | 4 | no | — |
| 574 | D16 | — | 4 | 8 | no | — |
| 575 | D16 | — | 4 | 2 | no | — |
| 576 | D16 | — | 4 | 2 | no | — |
| 577 | D16 | — | 4 | 1 | no | — |
| 578 | D16 | — | 4 | 2 | no | — |
| 579 | M32 | — | 2 | 1 | no | — |
| 580 | M32 | — | 2 | 2 | no | — |
| 581 | M32 | — | 2 | 2 | no | — |
| 582 | M32 | — | 2 | 1 | no | — |
| 583 | M32 | — | 2 | 1 | no | — |
| 584 | M32 | — | 4 | 2 | no | — |
| 585 | M32 | — | 16 | 1 | no | — |
| 586 | M32 | — | 16 | 1 | no | — |
| 587 | M32 | — | 16 | 1 | no | — |
| 588 | M32 | — | 16 | 1 | no | — |
| 589 | M32 | D4⋊C8 | 1 | 2 | yes | — |
| 590 | C2×C16 | — | 2 | 1 | no | — |
| 591 | C2×C16 | — | 2 | 1 | no | — |
| 592 | C2×C16 | — | 2 | 1 | no | — |
| 593 | C2×C16 | — | 2 | 2 | no | — |
| 594 | C2×C16 | — | 2 | 2 | no | — |
| 595 | C2×C16 | — | 2 | 1 | no | — |
| 596 | C2×C16 | — | 4 | 2 | no | — |
| 597 | C2×C16 | — | 16 | 1 | no | — |
| 598 | C2×C16 | — | 16 | 1 | no | — |
| 599 | C2×C16 | #379 | 1 | 1 | yes | characteristic |
| 600 | C2×C16 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 601 | C2×C16 | #407 | 1 | 1 | yes | characteristic |
| 602 | C2×C16 | #418 | 1 | 1 | yes | characteristic |
| 603 | C2×C16 | C2×#104 | 1 | 1 | yes | characteristic |
| 604 | C2×C16 | #421 | 1 | 1 | yes | characteristic |
| 605 | C2×C16 | #450 | 1 | 1 | yes | characteristic |
| 606 | C2×C16 | #450 | 1 | 1 | yes | characteristic |
| 607 | #107 | — | 4 | 1 | no | — |
| 608 | #107 | — | 4 | 2 | no | — |
| 609 | #107 | — | 4 | 1 | no | — |
| 610 | #107 | — | 8 | 2 | no | — |
| 611 | #107 | — | 8 | 1 | no | — |
| 612 | #106 | — | 8 | 2 | no | — |
| 613 | #106 | — | 8 | 1 | no | — |
| 614 | #103 | — | 8 | 2 | no | — |
| 615 | #103 | — | 8 | 1 | no | — |
| 616 | #103 | — | 8 | 1 | no | — |
| 617 | #102 | — | 8 | 2 | no | — |
| 618 | #102 | — | 8 | 2 | no | — |
| 619 | #102 | — | 8 | 2 | no | — |
| 620 | #102 | — | 8 | 1 | no | — |
| 621 | #102 | — | 8 | 2 | no | — |
| 622 | #102 | — | 8 | 2 | no | — |
| 623 | #102 | — | 8 | 1 | no | — |
| 624 | #97 | — | 2 | 1 | no | — |
| 625 | #97 | — | 2 | 1 | no | — |
| 626 | #97 | — | 2 | 1 | no | — |
| 627 | C4×C8 | — | 2 | 1 | no | — |
| 628 | C4×C8 | — | 2 | 1 | no | — |
| 629 | C4×C8 | — | 2 | 1 | no | — |
| 630 | C4×C8 | #447 | 1 | 1 | yes | characteristic |
| 631 | C4×C8 | #447 | 1 | 1 | yes | characteristic |
| 632 | C4×C8 | #509 | 1 | 1 | yes | characteristic |
| 633 | C4×C8 | #509 | 1 | 1 | yes | characteristic |
| 634 | C32 | — | 2 | 2 | no | — |
| 635 | C32 | — | 2 | 1 | no | — |
| 636 | C32 | — | 2 | 1 | no | — |
| 637 | C32 | — | 4 | 1 | no | — |
| 638 | C32 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 639 | C32 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 640 | C32 | #407 | 1 | 1 | yes | characteristic |
| 641 | C32 | #407 | 1 | 1 | yes | characteristic |
| 642 | C24 | — | 16 | 2 | no | — |
| 643 | C24 | — | 16 | 1 | no | — |
| 644 | #41 | — | 2 | 1 | no | — |
| 645 | #41 | — | 2 | 1 | no | — |
| 646 | #41 | — | 8 | 8 | no | — |
| 647 | #41 | — | 8 | 2 | no | — |
| 648 | #41 | — | 8 | 2 | no | — |
| 649 | #41 | — | 16 | 4 | no | — |
| 650 | #41 | — | 16 | 4 | no | — |
| 651 | #41 | — | 16 | 4 | no | — |
| 652 | #41 | — | 16 | 1 | no | — |
| 653 | #41 | — | 16 | 1 | no | — |
| 654 | #41 | #1331 | 1 | 2 | yes | — |
| 655 | #41 | #1418 | 1 | 2 | yes | — |
| 656 | C2×Q8 | — | 8 | 1 | no | — |
| 657 | C2×Q8 | #1419 | 1 | 1 | yes | characteristic |
| 658 | C2×D4 | — | 2 | 1 | no | — |
| 659 | C2×D4 | — | 8 | 8 | no | — |
| 660 | C2×D4 | — | 8 | 2 | no | — |
| 661 | C2×D4 | — | 8 | 2 | no | — |
| 662 | C2×D4 | — | 8 | 1 | no | — |
| 663 | C2×D4 | — | 8 | 2 | no | — |
| 664 | C2×D4 | — | 16 | 2 | no | — |
| 665 | C2×D4 | — | 16 | 4 | no | — |
| 666 | C2×D4 | — | 16 | 8 | no | — |
| 667 | C2×D4 | — | 16 | 8 | no | — |
| 668 | C2×D4 | — | 16 | 4 | no | — |
| 669 | C2×D4 | — | 16 | 2 | no | — |
| 670 | C2×D4 | — | 16 | 1 | no | — |
| 671 | C2×D4 | — | 16 | 4 | no | — |
| 672 | C2×D4 | — | 16 | 1 | no | — |
| 673 | C2×D4 | — | 16 | 1 | no | — |
| 674 | C2×D4 | — | 16 | 1 | no | — |
| 675 | C2×D4 | #1419 | 1 | 1 | yes | characteristic |
| 676 | C22×C4 | — | 2 | 1 | no | — |
| 677 | C22×C4 | — | 2 | 2 | no | — |
| 678 | C22×C4 | — | 2 | 1 | no | — |
| 679 | C22×C4 | — | 16 | 2 | no | — |
| 680 | C22×C4 | — | 16 | 2 | no | — |
| 681 | C22×C4 | — | 16 | 1 | no | — |
| 682 | C22×C4 | — | 16 | 2 | no | — |
| 683 | C22×C4 | — | 16 | 1 | no | — |
| 684 | C22×C4 | — | 16 | 2 | no | — |
| 685 | C22×C4 | — | 16 | 2 | no | — |
| 686 | C22×C4 | — | 16 | 2 | no | — |
| 687 | C22×C4 | — | 16 | 1 | no | — |
| 688 | C22×C4 | — | 16 | 2 | no | — |
| 689 | C22×C4 | — | 16 | 1 | no | — |
| 690 | C22×C4 | — | 64 | 2 | no | — |
| 691 | C22×C4 | — | 64 | 4 | no | — |
| 692 | C22×C4 | C2×#357 | 1 | 1 | yes | characteristic |
| 693 | Q16 | — | 4 | 2 | no | — |
| 694 | Q16 | — | 8 | 1 | no | — |
| 695 | SD16 | — | 8 | 8 | no | — |
| 696 | SD16 | — | 8 | 2 | no | — |
| 697 | SD16 | — | 8 | 2 | no | — |
| 698 | D8 | — | 4 | 2 | no | — |
| 699 | D8 | — | 4 | 4 | no | — |
| 700 | D8 | — | 8 | 8 | no | — |
| 701 | D8 | — | 8 | 2 | no | — |
| 702 | D8 | — | 8 | 2 | no | — |
| 703 | D8 | — | 8 | 1 | no | — |
| 704 | D8 | — | 8 | 2 | no | — |
| 705 | M16 | — | 2 | 1 | no | — |
| 706 | M16 | — | 2 | 2 | no | — |
| 707 | M16 | — | 2 | 2 | no | — |
| 708 | M16 | — | 2 | 1 | no | — |
| 709 | M16 | — | 2 | 1 | no | — |
| 710 | M16 | — | 4 | 2 | no | — |
| 711 | M16 | #1331 | 1 | 2 | yes | — |
| 712 | C2×C8 | — | 2 | 1 | no | — |
| 713 | C2×C8 | — | 2 | 1 | no | — |
| 714 | C2×C8 | — | 2 | 1 | no | — |
| 715 | C2×C8 | — | 2 | 2 | no | — |
| 716 | C2×C8 | — | 2 | 2 | no | — |
| 717 | C2×C8 | — | 2 | 1 | no | — |
| 718 | C2×C8 | — | 4 | 2 | no | — |
| 719 | C2×C8 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 720 | C2×C8 | #1486 | 1 | 1 | yes | characteristic |
| 721 | C2×C8 | #1786 | 1 | 1 | yes | characteristic |
| 722 | C2×C8 | #2140 | 1 | 1 | yes | characteristic |
| 723 | C2×C8 | C2×#359 | 1 | 1 | yes | characteristic |
| 724 | C2×C8 | #2143 | 1 | 1 | yes | characteristic |
| 725 | C2×C8 | #2184 | 1 | 1 | yes | characteristic |
| 726 | C2×C8 | #2184 | 1 | 1 | yes | characteristic |
| 727 | C4⋊C4 | — | 2 | 2 | no | — |
| 728 | C4⋊C4 | — | 2 | 1 | no | — |
| 729 | C4⋊C4 | — | 8 | 1 | no | — |
| 730 | C4⋊C4 | — | 8 | 1 | no | — |
| 731 | C4⋊C4 | — | 8 | 2 | no | — |
| 732 | C4⋊C4 | — | 16 | 2 | no | — |
| 733 | C4⋊C4 | — | 16 | 2 | no | — |
| 734 | C4⋊C4 | — | 16 | 1 | no | — |
| 735 | C4⋊C4 | — | 16 | 1 | no | — |
| 736 | C4⋊C4 | — | 16 | 1 | no | — |
| 737 | C22⋊C4 | — | 2 | 2 | no | — |
| 738 | C22⋊C4 | — | 16 | 2 | no | — |
| 739 | C22⋊C4 | — | 16 | 1 | no | — |
| 740 | C22⋊C4 | — | 16 | 2 | no | — |
| 741 | C22⋊C4 | — | 16 | 2 | no | — |
| 742 | C22⋊C4 | — | 16 | 2 | no | — |
| 743 | C22⋊C4 | — | 16 | 1 | no | — |
| 744 | C22⋊C4 | — | 16 | 2 | no | — |
| 745 | C22⋊C4 | — | 16 | 2 | no | — |
| 746 | C22⋊C4 | — | 16 | 1 | no | — |
| 747 | C22⋊C4 | #1419 | 1 | 2 | yes | — |
| 748 | C42 | — | 2 | 2 | no | — |
| 749 | C42 | — | 2 | 1 | no | — |
| 750 | C42 | — | 2 | 1 | no | — |
| 751 | C42 | — | 16 | 1 | no | — |
| 752 | C42 | — | 16 | 2 | no | — |
| 753 | C42 | — | 16 | 2 | no | — |
| 754 | C42 | — | 16 | 1 | no | — |
| 755 | C42 | — | 16 | 1 | no | — |
| 756 | C42 | #2187 | 1 | 1 | yes | characteristic |
| 757 | C42 | #2187 | 1 | 1 | yes | characteristic |
| 758 | C16 | — | 2 | 2 | no | — |
| 759 | C16 | — | 2 | 1 | no | — |
| 760 | C16 | — | 2 | 1 | no | — |
| 761 | C16 | — | 4 | 1 | no | — |
| 762 | C16 | — | 32 | 1 | no | — |
| 763 | C16 | — | 32 | 1 | no | — |
| 764 | C16 | #1478 | 1 | 1 | yes | characteristic |
| 765 | C16 | #1490 | 1 | 1 | yes | characteristic |
| 766 | C16 | #1779 | 1 | 1 | yes | characteristic |
| 767 | C16 | #1789 | 1 | 1 | yes | characteristic |
| 768 | C23 | — | 2 | 1 | no | — |
| 769 | C23 | — | 16 | 8 | no | — |
| 770 | C23 | — | 16 | 2 | no | — |
| 771 | C23 | — | 16 | 1 | no | — |
| 772 | C23 | — | 16 | 2 | no | — |
| 773 | C23 | — | 16 | 2 | no | — |
| 774 | C23 | — | 64 | 1 | no | — |
| 775 | C23 | — | 64 | 2 | no | — |
| 776 | C23 | — | 64 | 1 | no | — |
| 777 | C23 | — | 64 | 2 | no | — |
| 778 | C23 | C2×#1419 | 1 | 1 | yes | characteristic |
| 779 | Q8 | — | 2 | 1 | no | — |
| 780 | Q8 | — | 8 | 2 | no | — |
| 781 | Q8 | — | 16 | 1 | no | — |
| 782 | Q8 | #7385 | 1 | 2 | yes | — |
| 783 | D4 | — | 2 | 2 | no | — |
| 784 | D4 | — | 2 | 2 | no | — |
| 785 | D4 | — | 2 | 1 | no | — |
| 786 | D4 | — | 8 | 2 | no | — |
| 787 | D4 | — | 8 | 4 | no | — |
| 788 | D4 | — | 16 | 8 | no | — |
| 789 | D4 | — | 16 | 8 | no | — |
| 790 | D4 | — | 16 | 2 | no | — |
| 791 | D4 | — | 16 | 2 | no | — |
| 792 | D4 | — | 16 | 2 | no | — |
| 793 | D4 | — | 16 | 1 | no | — |
| 794 | D4 | — | 16 | 2 | no | — |
| 795 | D4 | — | 16 | 2 | no | — |
| 796 | D4 | #7385 | 1 | 2 | yes | — |
| 797 | C2×C4 | — | 2 | 1 | no | — |
| 798 | C2×C4 | — | 2 | 2 | no | — |
| 799 | C2×C4 | — | 2 | 2 | no | — |
| 800 | C2×C4 | — | 2 | 1 | no | — |
| 801 | C2×C4 | — | 2 | 2 | no | — |
| 802 | C2×C4 | — | 2 | 1 | no | — |
| 803 | C2×C4 | — | 8 | 1 | no | — |
| 804 | C2×C4 | — | 8 | 2 | no | — |
| 805 | C2×C4 | — | 16 | 8 | no | — |
| 806 | C2×C4 | — | 16 | 1 | no | — |
| 807 | C2×C4 | — | 16 | 2 | no | — |
| 808 | C2×C4 | — | 16 | 2 | no | — |
| 809 | C2×C4 | — | 16 | 1 | no | — |
| 810 | C2×C4 | — | 16 | 2 | no | — |
| 811 | C2×C4 | — | 16 | 1 | no | — |
| 812 | C2×C4 | — | 32 | 4 | no | — |
| 813 | C2×C4 | — | 32 | 2 | no | — |
| 814 | C2×C4 | — | 64 | 2 | no | — |
| 815 | C2×C4 | — | 64 | 1 | no | — |
| 816 | C2×C4 | — | 64 | 2 | no | — |
| 817 | C2×C4 | — | 64 | 2 | no | — |
| 818 | C2×C4 | — | 64 | 2 | no | — |
| 819 | C2×C4 | — | 64 | 1 | no | — |
| 820 | C2×C4 | — | 64 | 2 | no | — |
| 821 | C2×C4 | C2×#1331 | 1 | 1 | yes | characteristic |
| 822 | C2×C4 | #11657 | 1 | 1 | yes | characteristic |
| 823 | C2×C4 | #12731 | 1 | 1 | yes | characteristic |
| 824 | C2×C4 | C2×#1418 | 1 | 1 | yes | characteristic |
| 825 | C2×C4 | #13622 | 1 | 1 | yes | characteristic |
| 826 | C2×C4 | C2×#1419 | 1 | 1 | yes | characteristic |
| 827 | C8 | — | 2 | 1 | no | — |
| 828 | C8 | — | 2 | 1 | no | — |
| 829 | C8 | — | 2 | 2 | no | — |
| 830 | C8 | — | 4 | 1 | no | — |
| 831 | C8 | #8310 | 1 | 1 | yes | characteristic |
| 832 | C8 | #11593 | 1 | 1 | yes | characteristic |
| 833 | C8 | #11661 | 1 | 1 | yes | characteristic |
| 834 | C8 | #12734 | 1 | 1 | yes | characteristic |
| 835 | C22 | — | 2 | 2 | no | — |
| 836 | C22 | — | 4 | 1 | no | — |
| 837 | C22 | — | 4 | 2 | no | — |
| 838 | C22 | — | 16 | 4 | no | — |
| 839 | C22 | — | 16 | 2 | no | — |
| 840 | C22 | — | 32 | 2 | no | — |
| 841 | C22 | — | 32 | 1 | no | — |
| 842 | C22 | — | 32 | 2 | no | — |
| 843 | C22 | — | 32 | 1 | no | — |
| 844 | C22 | — | 64 | 2 | no | — |
| 845 | C22 | — | 64 | 2 | no | — |
| 846 | C22 | — | 64 | 8 | no | — |
| 847 | C22 | #150064 | 1 | 1 | yes | characteristic |
| 848 | C22 | #150138 | 1 | 1 | yes | characteristic |
| 849 | C22 | #152162 | 1 | 1 | yes | characteristic |
| 850 | C4 | — | 2 | 2 | no | — |
| 851 | C4 | — | 4 | 1 | no | — |
| 852 | C4 | — | 4 | 2 | no | — |
| 853 | C4 | — | 4 | 1 | no | — |
| 854 | C4 | — | 16 | 2 | no | — |
| 855 | C4 | — | 32 | 2 | no | — |
| 856 | C4 | — | 32 | 1 | no | — |
| 857 | C4 | — | 32 | 1 | no | — |
| 858 | C4 | #129500 | 1 | 1 | yes | characteristic |
| 859 | C4 | C2×#7385 | 1 | 1 | yes | characteristic |
| 860 | C4 | #150142 | 1 | 1 | yes | characteristic |
| 861 | C4 | #152161 | 1 | 1 | yes | characteristic |
| 862 | C2 | — | 2 | 1 | no | — |
| 863 | C2 | — | 2 | 1 | no | — |
| 864 | C2 | — | 2 | 1 | no | — |
| 865 | C2 | — | 4 | 2 | no | — |
| 866 | C2 | — | 32 | 4 | no | — |
| 867 | C2 | — | 32 | 2 | no | — |
| 868 | C2 | #72286707 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72286707 |
| commutator | C2×C32 | C22×C8 |
| Frattini, cosocle | C2×#1397 | C23 |
| prime radical | C2×#33982 | C4 |
| LCS | G ▷ C2×C32 ▷ C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C4×#131 ◁ C4×#504 ◁ #512545 ◁ G | |
| LECS | G ▷ C2×#1397 ▷ C2×C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72321570 | C2 | semidirect |
| 2. #72321119 | C2 | semidirect |
| 3. #72321119 | C2 | semidirect |
| 4. #72320570 | C2 | semidirect |
| 5. C2×#94614 | C2 | semidirect |
| 6. C2×#94614 | C2 | semidirect |
| 26. C2×#7511 | C22 | semidirect |
| 27. C2×#7511 | C22 | semidirect |
| 28. C2×#7464 | C22 | semidirect |
| 29. C2×#7464 | C22 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72321570 | 2 |
| #72321119 | 2 |
| #72320570 | 2 |
| C2×#94614 | 2 |
| #72232007 | 2 |