Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
1793 conjugacy classes of subgroups.
The subgroup lattice has 1126 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72321632 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72321629 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72321622 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #72321615 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72321610 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72321604 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #72321599 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72321597 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72321570 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #72321140 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #72321113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #72320566 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #72286491 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#153598 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #72232007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#33982 | C22 | 1 | 1 | yes | characteristic |
| 17 | C4×#3415 | — | 2 | 1 | no | — |
| 18 | #513315 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×#13742 | C22 | 1 | 1 | yes | characteristic |
| 20 | #512951 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#13656 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #512770 | — | 2 | 1 | no | — |
| 23 | #512770 | C22 | 1 | 1 | yes | characteristic |
| 24 | #512766 | — | 2 | 1 | no | — |
| 25 | #512766 | C22 | 1 | 1 | yes | characteristic |
| 26 | #512764 | — | 2 | 1 | no | — |
| 27 | #512764 | — | 2 | 2 | no | — |
| 28 | C4×#2263 | — | 2 | 1 | no | — |
| 29 | C4×#2263 | — | 2 | 2 | no | — |
| 30 | #512761 | — | 2 | 1 | no | — |
| 31 | #512761 | C22 | 1 | 1 | yes | characteristic |
| 32 | C2×#13654 | — | 2 | 1 | no | — |
| 33 | C2×#13654 | C22 | 1 | 1 | yes | characteristic |
| 34 | #512720 | C22 | 1 | 1 | yes | characteristic |
| 35 | #512691 | — | 2 | 1 | no | — |
| 36 | #512545 | C22 | 1 | 1 | yes | characteristic |
| 37 | #495893 | — | 2 | 1 | no | — |
| 38 | #153611 | C4 | 1 | 4 | yes | complemented |
| 39 | #153609 | C4 | 1 | 4 | yes | complemented |
| 40 | #153598 | — | 2 | 2 | no | — |
| 41 | #153598 | — | 2 | 2 | no | — |
| 42 | #153598 | — | 2 | 1 | no | — |
| 43 | #153598 | — | 2 | 1 | no | — |
| 44 | #153597 | — | 2 | 1 | no | — |
| 45 | #153597 | — | 2 | 1 | no | — |
| 46 | #153578 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | C2×#7548 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #153565 | C22 | 1 | 1 | yes | characteristic |
| 49 | C2×#7541 | C22 | 1 | 1 | yes | characteristic |
| 50 | C2×#7541 | C22 | 1 | 1 | yes | characteristic |
| 51 | #153562 | C22 | 1 | 1 | yes | characteristic |
| 52 | #153562 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#7540 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #153560 | C22 | 1 | 1 | yes | characteristic |
| 55 | #153557 | C22 | 1 | 1 | yes | characteristic |
| 56 | #153432 | C22 | 1 | 1 | yes | characteristic |
| 57 | #153432 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#7511 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×#7511 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #152977 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #152859 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #152838 | — | 2 | 1 | no | — |
| 63 | #152641 | — | 2 | 1 | no | — |
| 64 | #152296 | C22 | 1 | 1 | yes | characteristic |
| 65 | #151996 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #151968 | — | 2 | 1 | no | — |
| 67 | #94770 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | #94767 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #94765 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #94764 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #94759 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | #94759 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | C2×#3415 | — | 2 | 1 | no | — |
| 74 | C4×#576 | — | 4 | 1 | no | — |
| 75 | #33982 | — | 2 | 2 | no | — |
| 76 | #33982 | — | 2 | 2 | no | — |
| 77 | #33982 | — | 2 | 2 | no | — |
| 78 | #33982 | C2×C4 | 1 | 4 | yes | — |
| 79 | C2×#2263 | — | 2 | 2 | no | — |
| 80 | C2×#2263 | — | 2 | 1 | no | — |
| 81 | C2×#2262 | — | 2 | 1 | no | — |
| 82 | C2×#2262 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×#2262 | C23 | 1 | 1 | yes | characteristic |
| 84 | C22×D32 | — | 2 | 1 | no | — |
| 85 | C22×D32 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#2258 | D4 | 1 | 1 | yes | characteristic |
| 87 | C2×#2258 | C23 | 1 | 1 | yes | characteristic |
| 88 | #33617 | — | 2 | 1 | no | — |
| 89 | C2×#2178 | — | 2 | 1 | no | — |
| 90 | #33459 | — | 2 | 2 | no | — |
| 91 | #33459 | — | 2 | 1 | no | — |
| 92 | #33456 | — | 2 | 2 | no | — |
| 93 | #33456 | — | 2 | 1 | no | — |
| 94 | #33454 | — | 4 | 2 | no | — |
| 95 | #33454 | — | 4 | 1 | no | — |
| 96 | C4×#509 | — | 4 | 2 | no | — |
| 97 | C4×#509 | — | 4 | 1 | no | — |
| 98 | C4×#508 | — | 2 | 2 | no | — |
| 99 | C4×#508 | — | 2 | 1 | no | — |
| 100 | C2×C4×D16 | — | 2 | 2 | no | — |
| 101 | C2×C4×D16 | — | 2 | 1 | no | — |
| 102 | #33410 | — | 2 | 1 | no | — |
| 103 | #33381 | — | 4 | 1 | no | — |
| 104 | C4×#504 | D4 | 1 | 1 | yes | characteristic |
| 105 | #21558 | — | 4 | 1 | no | — |
| 106 | #13743 | — | 2 | 1 | no | — |
| 107 | #13743 | C2×C4 | 1 | 2 | yes | complemented |
| 108 | #13742 | — | 2 | 2 | no | — |
| 109 | #13742 | — | 2 | 1 | no | — |
| 110 | #13742 | — | 2 | 2 | no | — |
| 111 | #13742 | C2×C4 | 1 | 2 | yes | complemented |
| 112 | #13741 | — | 2 | 2 | no | — |
| 113 | C2×SD128 | C2×C4 | 1 | 2 | yes | complemented |
| 114 | C2×D64 | C2×C4 | 1 | 2 | yes | complemented |
| 115 | C2×M128 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×M128 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×M128 | C23 | 1 | 1 | yes | characteristic |
| 118 | C2×M128 | C23 | 1 | 1 | yes | characteristic |
| 119 | #13702 | — | 2 | 2 | no | — |
| 120 | #13701 | C2×C4 | 1 | 2 | yes | complemented |
| 121 | #13700 | C2×C4 | 1 | 2 | yes | complemented |
| 122 | #13656 | — | 2 | 1 | no | — |
| 123 | #13656 | — | 2 | 1 | no | — |
| 124 | #13656 | — | 2 | 1 | no | — |
| 125 | #13656 | — | 2 | 1 | no | — |
| 126 | #13654 | — | 2 | 2 | no | — |
| 127 | #13654 | — | 2 | 2 | no | — |
| 128 | #13654 | — | 2 | 1 | no | — |
| 129 | #13654 | — | 2 | 1 | no | — |
| 130 | #13654 | — | 2 | 1 | no | — |
| 131 | #13654 | — | 2 | 1 | no | — |
| 132 | #13654 | — | 2 | 1 | no | — |
| 133 | #13654 | D4 | 1 | 1 | yes | characteristic |
| 134 | #13654 | D4 | 1 | 2 | yes | — |
| 135 | #13654 | D4 | 1 | 2 | yes | — |
| 136 | #13654 | D4 | 1 | 1 | yes | characteristic |
| 137 | #13653 | — | 2 | 1 | no | — |
| 138 | #13653 | D4 | 1 | 1 | yes | characteristic |
| 139 | #13653 | D4 | 1 | 1 | yes | characteristic |
| 140 | #13652 | — | 2 | 2 | no | — |
| 141 | #13652 | — | 2 | 2 | no | — |
| 142 | #13652 | — | 2 | 1 | no | — |
| 143 | #13652 | — | 2 | 1 | no | — |
| 144 | C4×SD64 | — | 2 | 2 | no | — |
| 145 | C4×SD64 | — | 2 | 2 | no | — |
| 146 | C4×SD64 | — | 2 | 2 | no | — |
| 147 | C4×D32 | — | 2 | 2 | no | — |
| 148 | C4×D32 | — | 2 | 2 | no | — |
| 149 | C4×D32 | — | 2 | 2 | no | — |
| 150 | C2×#1425 | C23 | 1 | 1 | yes | characteristic |
| 151 | C2×#1425 | C23 | 1 | 1 | yes | characteristic |
| 152 | #13634 | — | 2 | 1 | no | — |
| 153 | #13634 | — | 2 | 2 | no | — |
| 154 | #13633 | — | 2 | 1 | no | — |
| 155 | #13633 | C23 | 1 | 1 | yes | characteristic |
| 156 | #13633 | C23 | 1 | 1 | yes | characteristic |
| 157 | C2×#1424 | — | 2 | 1 | no | — |
| 158 | C2×#1424 | C23 | 1 | 1 | yes | characteristic |
| 159 | #13625 | — | 2 | 1 | no | — |
| 160 | #13622 | — | 2 | 1 | no | — |
| 161 | C2×#1417 | — | 2 | 1 | no | — |
| 162 | #13617 | — | 2 | 2 | no | — |
| 163 | #13617 | — | 2 | 1 | no | — |
| 164 | #13616 | — | 2 | 2 | no | — |
| 165 | #13616 | — | 2 | 1 | no | — |
| 166 | #13615 | — | 2 | 2 | no | — |
| 167 | #13615 | — | 2 | 1 | no | — |
| 168 | C2×#1415 | — | 2 | 2 | no | — |
| 169 | C2×#1415 | — | 2 | 1 | no | — |
| 170 | #13549 | — | 2 | 1 | no | — |
| 171 | #13549 | — | 2 | 1 | no | — |
| 172 | #13549 | D4 | 1 | 1 | yes | characteristic |
| 173 | #13549 | C23 | 1 | 1 | yes | characteristic |
| 174 | C4×M64 | — | 2 | 1 | no | — |
| 175 | C4×M64 | D4 | 1 | 1 | yes | characteristic |
| 176 | C2×#1397 | — | 2 | 1 | no | — |
| 177 | C2×#1397 | C23 | 1 | 1 | yes | characteristic |
| 178 | #13243 | — | 2 | 1 | no | — |
| 179 | #13173 | — | 2 | 1 | no | — |
| 180 | #13146 | — | 4 | 1 | no | — |
| 181 | #13071 | — | 4 | 1 | no | — |
| 182 | #12841 | — | 2 | 1 | no | — |
| 183 | #12670 | — | 2 | 1 | no | — |
| 184 | #12646 | — | 4 | 1 | no | — |
| 185 | #7548 | — | 2 | 2 | no | — |
| 186 | #7548 | — | 2 | 1 | no | — |
| 187 | #7548 | — | 2 | 1 | no | — |
| 188 | #7542 | — | 2 | 1 | no | — |
| 189 | #7541 | — | 2 | 2 | no | — |
| 190 | #7541 | — | 2 | 1 | no | — |
| 191 | #7541 | C2×C4 | 1 | 4 | yes | complemented |
| 192 | #7540 | — | 2 | 2 | no | — |
| 193 | #7540 | — | 2 | 2 | no | — |
| 194 | #7540 | — | 2 | 1 | no | — |
| 195 | #7540 | — | 2 | 1 | no | — |
| 196 | #7539 | C2×C4 | 1 | 4 | yes | complemented |
| 197 | #7537 | — | 2 | 2 | no | — |
| 198 | #7514 | — | 2 | 2 | no | — |
| 199 | #7514 | C2×C4 | 1 | 4 | yes | complemented |
| 200 | #7511 | — | 2 | 1 | no | — |
| 201 | #7511 | — | 2 | 1 | no | — |
| 202 | #7511 | — | 2 | 1 | no | — |
| 203 | #7511 | — | 2 | 1 | no | — |
| 204 | #7480 | — | 2 | 1 | no | — |
| 205 | #7479 | — | 2 | 1 | no | — |
| 206 | #7473 | — | 2 | 1 | no | — |
| 207 | C2×#576 | — | 4 | 1 | no | — |
| 208 | C4×H(5,𝔽2) | — | 8 | 1 | no | — |
| 209 | #3415 | — | 2 | 4 | no | — |
| 210 | #3415 | — | 2 | 4 | no | — |
| 211 | #3415 | — | 4 | 2 | no | — |
| 212 | #3415 | — | 4 | 2 | no | — |
| 213 | C2×#509 | — | 4 | 2 | no | — |
| 214 | C2×#509 | — | 4 | 1 | no | — |
| 215 | C2×#508 | — | 2 | 2 | no | — |
| 216 | C2×#508 | — | 2 | 1 | no | — |
| 217 | C2×#508 | — | 2 | 1 | no | — |
| 218 | C22×D16 | — | 2 | 2 | no | — |
| 219 | C22×D16 | — | 2 | 1 | no | — |
| 220 | C2×#504 | D8 | 1 | 1 | yes | characteristic |
| 221 | C2×#504 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | #3067 | — | 4 | 1 | no | — |
| 223 | #2955 | — | 8 | 1 | no | — |
| 224 | C2×#443 | — | 4 | 1 | no | — |
| 225 | #2951 | — | 4 | 2 | no | — |
| 226 | #2951 | — | 4 | 1 | no | — |
| 227 | #2948 | — | 4 | 2 | no | — |
| 228 | #2948 | — | 4 | 1 | no | — |
| 229 | #2946 | — | 8 | 2 | no | — |
| 230 | #2946 | — | 8 | 1 | no | — |
| 231 | C4×AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 232 | C4×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 233 | C4×#135 | — | 4 | 2 | no | — |
| 234 | C4×#135 | — | 4 | 1 | no | — |
| 235 | C2×C4×D8 | — | 4 | 2 | no | — |
| 236 | C2×C4×D8 | — | 4 | 1 | no | — |
| 237 | #2913 | — | 4 | 1 | no | — |
| 238 | #2897 | — | 8 | 1 | no | — |
| 239 | C4×#131 | D8 | 1 | 1 | yes | characteristic |
| 240 | #2263 | — | 2 | 4 | no | — |
| 241 | #2263 | — | 2 | 8 | no | — |
| 242 | #2263 | — | 2 | 8 | no | — |
| 243 | #2263 | — | 2 | 4 | no | — |
| 244 | #2262 | — | 2 | 4 | no | — |
| 245 | #2262 | — | 2 | 4 | no | — |
| 246 | #2262 | — | 2 | 1 | no | — |
| 247 | #2262 | — | 2 | 1 | no | — |
| 248 | #2262 | — | 2 | 1 | no | — |
| 249 | #2262 | — | 2 | 1 | no | — |
| 250 | #2262 | — | 2 | 1 | no | — |
| 251 | #2262 | — | 2 | 1 | no | — |
| 252 | #2262 | C22×C4 | 1 | 2 | yes | — |
| 253 | #2262 | #41 | 1 | 2 | yes | — |
| 254 | C2×Q64 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 255 | C2×Q64 | C2×D4 | 1 | 1 | yes | characteristic |
| 256 | C2×SD64 | — | 2 | 2 | no | — |
| 257 | C2×SD64 | — | 2 | 1 | no | — |
| 258 | C2×SD64 | — | 2 | 1 | no | — |
| 259 | C2×D32 | — | 2 | 2 | no | — |
| 260 | C2×D32 | — | 2 | 4 | no | — |
| 261 | C2×D32 | — | 2 | 4 | no | — |
| 262 | C2×D32 | — | 2 | 1 | no | — |
| 263 | C2×D32 | — | 2 | 1 | no | — |
| 264 | C2×D32 | — | 2 | 1 | no | — |
| 265 | C2×D32 | C22×C4 | 1 | 2 | yes | — |
| 266 | C2×D32 | C22×C4 | 1 | 1 | yes | characteristic, complemented |
| 267 | C2×D32 | C2×D4 | 1 | 2 | yes | — |
| 268 | C2×D32 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C2×D32 | #41 | 1 | 2 | yes | — |
| 270 | #2258 | — | 2 | 1 | no | — |
| 271 | #2258 | — | 2 | 1 | no | — |
| 272 | #2258 | — | 2 | 2 | no | — |
| 273 | #2258 | — | 4 | 1 | no | — |
| 274 | #2258 | C22×C4 | 1 | 2 | yes | — |
| 275 | #2258 | #41 | 1 | 2 | yes | — |
| 276 | C2×M64 | — | 2 | 1 | no | — |
| 277 | C2×M64 | — | 2 | 1 | no | — |
| 278 | C2×M64 | C2×D4 | 1 | 1 | yes | characteristic |
| 279 | C2×M64 | C2×D4 | 1 | 1 | yes | characteristic |
| 280 | C22×C32 | — | 2 | 1 | no | — |
| 281 | C22×C32 | — | 2 | 1 | no | — |
| 282 | C22×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 283 | C22×C32 | C24 | 1 | 1 | yes | characteristic |
| 284 | #2223 | — | 4 | 2 | no | — |
| 285 | #2222 | — | 2 | 2 | no | — |
| 286 | #2221 | — | 2 | 2 | no | — |
| 287 | #2178 | — | 4 | 1 | no | — |
| 288 | #2178 | — | 4 | 1 | no | — |
| 289 | #2178 | — | 4 | 1 | no | — |
| 290 | #2178 | — | 4 | 1 | no | — |
| 291 | #2177 | — | 4 | 2 | no | — |
| 292 | #2177 | — | 4 | 2 | no | — |
| 293 | #2177 | — | 4 | 2 | no | — |
| 294 | #2175 | — | 4 | 2 | no | — |
| 295 | #2175 | — | 4 | 2 | no | — |
| 296 | #2175 | — | 4 | 2 | no | — |
| 297 | C4×Q32 | — | 2 | 2 | no | — |
| 298 | C4×Q32 | — | 2 | 1 | no | — |
| 299 | C4×Q32 | — | 2 | 1 | no | — |
| 300 | C4×SD32 | — | 4 | 2 | no | — |
| 301 | C4×SD32 | — | 4 | 2 | no | — |
| 302 | C4×SD32 | — | 4 | 1 | no | — |
| 303 | C4×SD32 | — | 4 | 1 | no | — |
| 304 | C4×D16 | — | 2 | 2 | no | — |
| 305 | C4×D16 | — | 2 | 2 | no | — |
| 306 | C4×D16 | — | 2 | 2 | no | — |
| 307 | C4×D16 | — | 2 | 1 | no | — |
| 308 | C4×D16 | — | 2 | 2 | no | — |
| 309 | C4×D16 | — | 2 | 2 | no | — |
| 310 | C4×D16 | — | 2 | 1 | no | — |
| 311 | C4×D16 | — | 4 | 2 | no | — |
| 312 | C4×D16 | — | 4 | 2 | no | — |
| 313 | C4×D16 | — | 4 | 1 | no | — |
| 314 | C4×D16 | — | 4 | 1 | no | — |
| 315 | C2×#368 | — | 2 | 1 | no | — |
| 316 | C2×#368 | — | 2 | 1 | no | — |
| 317 | #2159 | — | 4 | 2 | no | — |
| 318 | #2159 | — | 4 | 1 | no | — |
| 319 | #2158 | — | 2 | 2 | no | — |
| 320 | #2158 | — | 2 | 1 | no | — |
| 321 | #2158 | — | 2 | 1 | no | — |
| 322 | C2×#366 | — | 2 | 2 | no | — |
| 323 | C2×#366 | — | 2 | 1 | no | — |
| 324 | #2148 | — | 4 | 1 | no | — |
| 325 | #2145 | — | 4 | 1 | no | — |
| 326 | C2×#359 | — | 4 | 1 | no | — |
| 327 | #2140 | — | 4 | 2 | no | — |
| 328 | #2140 | — | 4 | 1 | no | — |
| 329 | #2139 | — | 4 | 2 | no | — |
| 330 | #2139 | — | 4 | 1 | no | — |
| 331 | #2138 | — | 4 | 2 | no | — |
| 332 | #2138 | — | 4 | 1 | no | — |
| 333 | C2×#357 | — | 4 | 2 | no | — |
| 334 | C2×#357 | — | 4 | 1 | no | — |
| 335 | #2108 | — | 2 | 1 | no | — |
| 336 | #2108 | — | 2 | 1 | no | — |
| 337 | #2108 | D8 | 1 | 1 | yes | characteristic |
| 338 | #2108 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | C4×M32 | — | 2 | 1 | no | — |
| 340 | C4×M32 | D8 | 1 | 1 | yes | characteristic |
| 341 | C2×C4×C16 | — | 2 | 1 | no | — |
| 342 | C2×C4×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 343 | #1976 | — | 4 | 1 | no | — |
| 344 | #1953 | — | 4 | 1 | no | — |
| 345 | #1932 | — | 8 | 1 | no | — |
| 346 | #1906 | — | 8 | 1 | no | — |
| 347 | #1814 | — | 4 | 1 | no | — |
| 348 | #1772 | — | 4 | 1 | no | — |
| 349 | #1757 | — | 8 | 1 | no | — |
| 350 | Q128 | — | 2 | 2 | no | — |
| 351 | SD128 | — | 2 | 2 | no | — |
| 352 | SD128 | — | 2 | 4 | no | — |
| 353 | SD128 | — | 2 | 2 | no | — |
| 354 | D64 | — | 2 | 4 | no | — |
| 355 | D64 | — | 2 | 2 | no | — |
| 356 | M128 | — | 2 | 1 | no | — |
| 357 | M128 | — | 2 | 1 | no | — |
| 358 | M128 | — | 2 | 1 | no | — |
| 359 | M128 | — | 2 | 1 | no | — |
| 360 | M128 | — | 2 | 1 | no | — |
| 361 | M128 | — | 2 | 1 | no | — |
| 362 | M128 | — | 2 | 1 | no | — |
| 363 | M128 | C22×C4 | 1 | 2 | yes | complemented |
| 364 | C2×C64 | — | 2 | 1 | no | — |
| 365 | C2×C64 | — | 2 | 1 | no | — |
| 366 | C2×C64 | — | 2 | 1 | no | — |
| 367 | C2×C64 | C22×C4 | 1 | 2 | yes | complemented |
| 368 | #1425 | — | 2 | 1 | no | — |
| 369 | #1425 | — | 2 | 1 | no | — |
| 370 | #1425 | — | 2 | 1 | no | — |
| 371 | #1425 | C22×C4 | 1 | 2 | yes | complemented |
| 372 | #1424 | — | 2 | 2 | no | — |
| 373 | #1424 | — | 2 | 1 | no | — |
| 374 | #1424 | — | 2 | 1 | no | — |
| 375 | #1424 | C2×D4 | 1 | 1 | yes | characteristic |
| 376 | #1424 | C2×D4 | 1 | 2 | yes | — |
| 377 | #1424 | C2×D4 | 1 | 1 | yes | characteristic |
| 378 | #1423 | — | 2 | 2 | no | — |
| 379 | #1423 | — | 2 | 1 | no | — |
| 380 | #1423 | — | 2 | 1 | no | — |
| 381 | #1420 | — | 2 | 2 | no | — |
| 382 | #1419 | — | 2 | 2 | no | — |
| 383 | #1418 | — | 4 | 2 | no | — |
| 384 | #1417 | — | 4 | 1 | no | — |
| 385 | #1417 | — | 4 | 1 | no | — |
| 386 | #1416 | — | 2 | 2 | no | — |
| 387 | #1416 | — | 2 | 1 | no | — |
| 388 | #1416 | — | 2 | 1 | no | — |
| 389 | #1415 | — | 2 | 2 | no | — |
| 390 | #1415 | — | 2 | 2 | no | — |
| 391 | #1415 | — | 2 | 2 | no | — |
| 392 | #1415 | — | 2 | 1 | no | — |
| 393 | #1415 | — | 2 | 2 | no | — |
| 394 | #1415 | — | 2 | 2 | no | — |
| 395 | #1415 | — | 2 | 1 | no | — |
| 396 | #1397 | — | 2 | 1 | no | — |
| 397 | #1397 | — | 2 | 1 | no | — |
| 398 | #1397 | — | 2 | 1 | no | — |
| 399 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 400 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 401 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 402 | #1397 | C2×D4 | 1 | 1 | yes | characteristic |
| 403 | C4×C32 | — | 2 | 1 | no | — |
| 404 | C4×C32 | — | 2 | 1 | no | — |
| 405 | C4×C32 | — | 2 | 1 | no | — |
| 406 | #1389 | — | 4 | 1 | no | — |
| 407 | #1388 | — | 4 | 1 | no | — |
| 408 | #1382 | — | 4 | 1 | no | — |
| 409 | C2×H(5,𝔽2) | — | 8 | 1 | no | — |
| 410 | #576 | — | 4 | 4 | no | — |
| 411 | #576 | — | 4 | 4 | no | — |
| 412 | #576 | — | 8 | 2 | no | — |
| 413 | #576 | — | 8 | 2 | no | — |
| 414 | #575 | — | 8 | 1 | no | — |
| 415 | C2×AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 416 | C2×AGL(1,ℤ/8) | — | 8 | 1 | no | — |
| 417 | C2×#135 | — | 4 | 2 | no | — |
| 418 | C2×#135 | — | 4 | 1 | no | — |
| 419 | C2×#135 | — | 4 | 1 | no | — |
| 420 | C22×D8 | — | 4 | 2 | no | — |
| 421 | C22×D8 | — | 4 | 1 | no | — |
| 422 | C2×#131 | — | 8 | 1 | no | — |
| 423 | C2×#131 | D16 | 1 | 1 | yes | characteristic |
| 424 | C2×#131 | C2×D8 | 1 | 1 | yes | characteristic |
| 425 | #520 | — | 8 | 1 | no | — |
| 426 | #520 | — | 8 | 2 | no | — |
| 427 | #520 | — | 8 | 1 | no | — |
| 428 | #520 | — | 16 | 1 | no | — |
| 429 | #518 | — | 8 | 2 | no | — |
| 430 | #518 | — | 8 | 1 | no | — |
| 431 | #518 | — | 16 | 1 | no | — |
| 432 | #518 | — | 16 | 2 | no | — |
| 433 | C4×#41 | — | 8 | 2 | no | — |
| 434 | C4×#41 | — | 8 | 1 | no | — |
| 435 | C4×#41 | — | 16 | 1 | no | — |
| 436 | C4×#41 | D16 | 1 | 1 | yes | characteristic |
| 437 | C2×C4×D4 | — | 8 | 2 | no | — |
| 438 | C2×C4×D4 | — | 8 | 1 | no | — |
| 439 | C2×C4×D4 | — | 16 | 1 | no | — |
| 440 | C2×C4×D4 | — | 16 | 2 | no | — |
| 441 | #509 | — | 4 | 4 | no | — |
| 442 | #509 | — | 4 | 8 | no | — |
| 443 | #509 | — | 4 | 8 | no | — |
| 444 | #509 | — | 4 | 4 | no | — |
| 445 | #508 | — | 2 | 8 | no | — |
| 446 | #508 | — | 2 | 2 | no | — |
| 447 | #508 | — | 2 | 2 | no | — |
| 448 | #508 | — | 4 | 4 | no | — |
| 449 | #508 | — | 4 | 1 | no | — |
| 450 | #508 | — | 4 | 1 | no | — |
| 451 | #508 | — | 4 | 1 | no | — |
| 452 | #508 | — | 4 | 1 | no | — |
| 453 | #508 | — | 4 | 1 | no | — |
| 454 | #508 | — | 4 | 1 | no | — |
| 455 | C2×Q32 | — | 2 | 1 | no | — |
| 456 | C2×Q32 | — | 2 | 1 | no | — |
| 457 | C2×SD32 | — | 4 | 2 | no | — |
| 458 | C2×SD32 | — | 4 | 1 | no | — |
| 459 | C2×SD32 | — | 4 | 1 | no | — |
| 460 | C2×D16 | — | 2 | 8 | no | — |
| 461 | C2×D16 | — | 2 | 2 | no | — |
| 462 | C2×D16 | — | 2 | 1 | no | — |
| 463 | C2×D16 | — | 2 | 1 | no | — |
| 464 | C2×D16 | — | 2 | 2 | no | — |
| 465 | C2×D16 | — | 2 | 2 | no | — |
| 466 | C2×D16 | — | 4 | 2 | no | — |
| 467 | C2×D16 | — | 4 | 4 | no | — |
| 468 | C2×D16 | — | 4 | 1 | no | — |
| 469 | C2×D16 | — | 4 | 1 | no | — |
| 470 | C2×D16 | — | 4 | 1 | no | — |
| 471 | #504 | — | 2 | 1 | no | — |
| 472 | #504 | — | 2 | 1 | no | — |
| 473 | #504 | — | 2 | 2 | no | — |
| 474 | #504 | — | 4 | 1 | no | — |
| 475 | #504 | C4×D4 | 1 | 2 | yes | — |
| 476 | #504 | #135 | 1 | 2 | yes | — |
| 477 | C2×M32 | — | 2 | 1 | no | — |
| 478 | C2×M32 | — | 2 | 1 | no | — |
| 479 | C2×M32 | C2×D8 | 1 | 1 | yes | characteristic |
| 480 | C2×M32 | C2×D8 | 1 | 1 | yes | characteristic |
| 481 | C22×C16 | — | 2 | 1 | no | — |
| 482 | C22×C16 | — | 2 | 1 | no | — |
| 483 | C22×C16 | C2×D8 | 1 | 1 | yes | characteristic |
| 484 | C22×C16 | C22×D4 | 1 | 1 | yes | characteristic |
| 485 | #473 | — | 4 | 2 | no | — |
| 486 | #472 | — | 4 | 2 | no | — |
| 487 | #471 | — | 8 | 2 | no | — |
| 488 | #444 | — | 16 | 2 | no | — |
| 489 | #443 | — | 8 | 1 | no | — |
| 490 | #443 | — | 8 | 1 | no | — |
| 491 | #443 | — | 8 | 1 | no | — |
| 492 | #443 | — | 8 | 1 | no | — |
| 493 | #443 | — | 16 | 2 | no | — |
| 494 | #442 | — | 8 | 2 | no | — |
| 495 | #442 | — | 8 | 2 | no | — |
| 496 | #442 | — | 8 | 2 | no | — |
| 497 | #440 | — | 8 | 2 | no | — |
| 498 | #440 | — | 8 | 2 | no | — |
| 499 | #440 | — | 8 | 2 | no | — |
| 500 | C4×Q16 | — | 4 | 2 | no | — |
| 501 | C4×Q16 | — | 4 | 1 | no | — |
| 502 | C4×Q16 | — | 4 | 1 | no | — |
| 503 | C4×SD16 | — | 8 | 2 | no | — |
| 504 | C4×SD16 | — | 8 | 2 | no | — |
| 505 | C4×SD16 | — | 8 | 1 | no | — |
| 506 | C4×SD16 | — | 8 | 1 | no | — |
| 507 | C4×D8 | — | 4 | 2 | no | — |
| 508 | C4×D8 | — | 4 | 2 | no | — |
| 509 | C4×D8 | — | 4 | 2 | no | — |
| 510 | C4×D8 | — | 4 | 1 | no | — |
| 511 | C4×D8 | — | 4 | 2 | no | — |
| 512 | C4×D8 | — | 4 | 2 | no | — |
| 513 | C4×D8 | — | 4 | 1 | no | — |
| 514 | C4×D8 | — | 8 | 2 | no | — |
| 515 | C4×D8 | — | 8 | 2 | no | — |
| 516 | C4×D8 | — | 8 | 1 | no | — |
| 517 | C4×D8 | — | 8 | 1 | no | — |
| 518 | #430 | — | 8 | 1 | no | — |
| 519 | C2×#108 | — | 4 | 1 | no | — |
| 520 | C2×#108 | — | 4 | 1 | no | — |
| 521 | #428 | — | 8 | 2 | no | — |
| 522 | #428 | — | 8 | 1 | no | — |
| 523 | #427 | — | 4 | 2 | no | — |
| 524 | #427 | — | 4 | 1 | no | — |
| 525 | #427 | — | 4 | 1 | no | — |
| 526 | C2×#107 | — | 4 | 2 | no | — |
| 527 | C2×#107 | — | 4 | 1 | no | — |
| 528 | #421 | — | 8 | 1 | no | — |
| 529 | #421 | — | 8 | 1 | no | — |
| 530 | C2×#104 | — | 8 | 1 | no | — |
| 531 | #418 | — | 8 | 2 | no | — |
| 532 | #418 | — | 8 | 1 | no | — |
| 533 | #417 | — | 8 | 2 | no | — |
| 534 | #417 | — | 8 | 1 | no | — |
| 535 | #416 | — | 8 | 2 | no | — |
| 536 | #416 | — | 8 | 1 | no | — |
| 537 | C2×#102 | — | 8 | 2 | no | — |
| 538 | C2×#102 | — | 8 | 1 | no | — |
| 539 | #413 | — | 8 | 1 | no | — |
| 540 | #410 | — | 8 | 1 | no | — |
| 541 | #405 | — | 2 | 1 | no | — |
| 542 | #405 | — | 2 | 1 | no | — |
| 543 | #405 | — | 8 | 1 | no | — |
| 544 | #405 | D16 | 1 | 1 | yes | characteristic |
| 545 | #405 | C2×D8 | 1 | 1 | yes | characteristic |
| 546 | C4×M16 | — | 2 | 1 | no | — |
| 547 | C4×M16 | D16 | 1 | 1 | yes | characteristic |
| 548 | C2×C4×C8 | — | 2 | 1 | no | — |
| 549 | C2×C4×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 550 | Q64 | — | 2 | 1 | no | — |
| 551 | Q64 | — | 2 | 1 | no | — |
| 552 | Q64 | — | 2 | 1 | no | — |
| 553 | Q64 | C4×D4 | 1 | 2 | yes | — |
| 554 | SD64 | — | 2 | 8 | no | — |
| 555 | SD64 | — | 2 | 2 | no | — |
| 556 | SD64 | — | 2 | 2 | no | — |
| 557 | SD64 | — | 4 | 1 | no | — |
| 558 | SD64 | — | 4 | 1 | no | — |
| 559 | D32 | — | 2 | 8 | no | — |
| 560 | D32 | — | 2 | 2 | no | — |
| 561 | D32 | — | 2 | 1 | no | — |
| 562 | D32 | — | 2 | 1 | no | — |
| 563 | D32 | — | 2 | 1 | no | — |
| 564 | D32 | — | 2 | 2 | no | — |
| 565 | D32 | — | 2 | 2 | no | — |
| 566 | D32 | C4×D4 | 1 | 2 | yes | — |
| 567 | D32 | C4×D4 | 1 | 4 | yes | — |
| 568 | M64 | — | 2 | 1 | no | — |
| 569 | M64 | — | 2 | 2 | no | — |
| 570 | M64 | — | 2 | 2 | no | — |
| 571 | M64 | — | 2 | 1 | no | — |
| 572 | M64 | — | 2 | 1 | no | — |
| 573 | M64 | — | 4 | 2 | no | — |
| 574 | M64 | C4×D4 | 1 | 2 | yes | — |
| 575 | C2×C32 | — | 2 | 1 | no | — |
| 576 | C2×C32 | — | 2 | 1 | no | — |
| 577 | C2×C32 | — | 2 | 1 | no | — |
| 578 | C2×C32 | — | 2 | 2 | no | — |
| 579 | C2×C32 | — | 2 | 2 | no | — |
| 580 | C2×C32 | — | 2 | 1 | no | — |
| 581 | C2×C32 | — | 4 | 2 | no | — |
| 582 | C2×C32 | #120 | 1 | 1 | yes | characteristic |
| 583 | C2×C32 | #120 | 1 | 1 | yes | characteristic |
| 584 | C2×C32 | C23×C4 | 1 | 1 | yes | characteristic |
| 585 | C2×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 586 | C2×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 587 | C2×C32 | C2×#41 | 1 | 1 | yes | characteristic |
| 588 | C2×C32 | C2×#41 | 1 | 1 | yes | characteristic |
| 589 | C2×C32 | C2×#41 | 1 | 1 | yes | characteristic |
| 590 | #368 | — | 2 | 2 | no | — |
| 591 | #368 | — | 4 | 1 | no | — |
| 592 | #368 | — | 4 | 1 | no | — |
| 593 | #368 | — | 4 | 1 | no | — |
| 594 | #367 | — | 4 | 2 | no | — |
| 595 | #367 | — | 4 | 1 | no | — |
| 596 | #367 | — | 4 | 1 | no | — |
| 597 | #366 | — | 2 | 1 | no | — |
| 598 | #366 | — | 2 | 2 | no | — |
| 599 | #366 | — | 2 | 1 | no | — |
| 600 | #366 | — | 4 | 2 | no | — |
| 601 | #366 | — | 4 | 1 | no | — |
| 602 | #366 | — | 4 | 1 | no | — |
| 603 | #362 | — | 4 | 2 | no | — |
| 604 | #361 | — | 4 | 2 | no | — |
| 605 | #360 | — | 8 | 2 | no | — |
| 606 | #359 | — | 8 | 1 | no | — |
| 607 | #359 | — | 8 | 1 | no | — |
| 608 | #358 | — | 4 | 2 | no | — |
| 609 | #358 | — | 4 | 1 | no | — |
| 610 | #358 | — | 4 | 1 | no | — |
| 611 | #357 | — | 4 | 2 | no | — |
| 612 | #357 | — | 4 | 2 | no | — |
| 613 | #357 | — | 4 | 2 | no | — |
| 614 | #357 | — | 4 | 1 | no | — |
| 615 | #357 | — | 4 | 2 | no | — |
| 616 | #357 | — | 4 | 2 | no | — |
| 617 | #357 | — | 4 | 1 | no | — |
| 618 | #346 | — | 2 | 1 | no | — |
| 619 | #346 | — | 2 | 1 | no | — |
| 620 | #346 | — | 2 | 1 | no | — |
| 621 | C4×C16 | — | 2 | 1 | no | — |
| 622 | C4×C16 | — | 2 | 1 | no | — |
| 623 | C4×C16 | — | 2 | 1 | no | — |
| 624 | C4×C16 | #120 | 1 | 1 | yes | characteristic |
| 625 | C4×C16 | #120 | 1 | 1 | yes | characteristic |
| 626 | C4×C16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 627 | C4×C16 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 628 | #344 | — | 8 | 1 | no | — |
| 629 | #344 | — | 8 | 1 | no | — |
| 630 | #339 | — | 8 | 1 | no | — |
| 631 | C64 | — | 2 | 2 | no | — |
| 632 | C64 | — | 2 | 2 | no | — |
| 633 | C64 | — | 4 | 1 | no | — |
| 634 | C64 | — | 4 | 1 | no | — |
| 635 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 636 | H(5,𝔽2) | — | 8 | 4 | no | — |
| 637 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 638 | H(5,𝔽2) | — | 16 | 2 | no | — |
| 639 | C2×#41 | — | 8 | 2 | no | — |
| 640 | C2×#41 | — | 8 | 1 | no | — |
| 641 | C2×#41 | — | 8 | 1 | no | — |
| 642 | C2×#41 | — | 16 | 1 | no | — |
| 643 | C2×#41 | C2×D16 | 1 | 1 | yes | characteristic |
| 644 | C22×D4 | — | 8 | 2 | no | — |
| 645 | C22×D4 | — | 8 | 1 | no | — |
| 646 | C22×D4 | — | 16 | 2 | no | — |
| 647 | C22×D4 | — | 16 | 1 | no | — |
| 648 | C23×C4 | — | 16 | 2 | no | — |
| 649 | C23×C4 | — | 16 | 1 | no | — |
| 650 | #137 | — | 8 | 2 | no | — |
| 651 | #137 | — | 16 | 1 | no | — |
| 652 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 653 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 654 | AGL(1,ℤ/8) | — | 8 | 8 | no | — |
| 655 | AGL(1,ℤ/8) | — | 8 | 2 | no | — |
| 656 | AGL(1,ℤ/8) | — | 8 | 4 | no | — |
| 657 | AGL(1,ℤ/8) | — | 16 | 1 | no | — |
| 658 | #135 | — | 4 | 8 | no | — |
| 659 | #135 | — | 4 | 2 | no | — |
| 660 | #135 | — | 4 | 2 | no | — |
| 661 | #135 | — | 8 | 4 | no | — |
| 662 | #135 | — | 8 | 1 | no | — |
| 663 | #135 | — | 8 | 1 | no | — |
| 664 | #135 | — | 8 | 1 | no | — |
| 665 | #135 | — | 8 | 1 | no | — |
| 666 | #135 | — | 8 | 1 | no | — |
| 667 | #135 | — | 8 | 1 | no | — |
| 668 | #135 | — | 16 | 2 | no | — |
| 669 | C2×Q16 | — | 4 | 1 | no | — |
| 670 | C2×Q16 | — | 4 | 1 | no | — |
| 671 | C2×SD16 | — | 8 | 2 | no | — |
| 672 | C2×SD16 | — | 8 | 1 | no | — |
| 673 | C2×SD16 | — | 8 | 1 | no | — |
| 674 | C2×D8 | — | 4 | 8 | no | — |
| 675 | C2×D8 | — | 4 | 2 | no | — |
| 676 | C2×D8 | — | 4 | 2 | no | — |
| 677 | C2×D8 | — | 4 | 1 | no | — |
| 678 | C2×D8 | — | 4 | 1 | no | — |
| 679 | C2×D8 | — | 4 | 2 | no | — |
| 680 | C2×D8 | — | 8 | 2 | no | — |
| 681 | C2×D8 | — | 8 | 4 | no | — |
| 682 | C2×D8 | — | 8 | 1 | no | — |
| 683 | C2×D8 | — | 8 | 1 | no | — |
| 684 | C2×D8 | — | 8 | 1 | no | — |
| 685 | #131 | — | 2 | 1 | no | — |
| 686 | #131 | — | 2 | 1 | no | — |
| 687 | #131 | — | 2 | 2 | no | — |
| 688 | #131 | — | 4 | 1 | no | — |
| 689 | #131 | — | 16 | 1 | no | — |
| 690 | #131 | — | 16 | 1 | no | — |
| 691 | #131 | — | 16 | 1 | no | — |
| 692 | #131 | — | 16 | 1 | no | — |
| 693 | #131 | C4×D8 | 1 | 2 | yes | — |
| 694 | #131 | #508 | 1 | 2 | yes | — |
| 695 | C2×M16 | — | 2 | 1 | no | — |
| 696 | C2×M16 | — | 2 | 1 | no | — |
| 697 | C2×M16 | — | 8 | 1 | no | — |
| 698 | C2×M16 | — | 8 | 1 | no | — |
| 699 | C2×M16 | — | 16 | 1 | no | — |
| 700 | C2×M16 | C2×D16 | 1 | 1 | yes | characteristic |
| 701 | C2×M16 | C2×D16 | 1 | 1 | yes | characteristic |
| 702 | C22×C8 | — | 2 | 1 | no | — |
| 703 | C22×C8 | — | 2 | 1 | no | — |
| 704 | C22×C8 | — | 16 | 1 | no | — |
| 705 | C22×C8 | C2×D16 | 1 | 1 | yes | characteristic |
| 706 | C22×C8 | C22×D8 | 1 | 1 | yes | characteristic |
| 707 | C4×Q8 | — | 2 | 1 | no | — |
| 708 | C4×Q8 | — | 8 | 2 | no | — |
| 709 | C4×Q8 | — | 8 | 1 | no | — |
| 710 | C4×Q8 | — | 8 | 1 | no | — |
| 711 | C4×Q8 | — | 16 | 1 | no | — |
| 712 | C4×D4 | — | 2 | 1 | no | — |
| 713 | C4×D4 | — | 2 | 2 | no | — |
| 714 | C4×D4 | — | 8 | 2 | no | — |
| 715 | C4×D4 | — | 8 | 2 | no | — |
| 716 | C4×D4 | — | 8 | 2 | no | — |
| 717 | C4×D4 | — | 8 | 1 | no | — |
| 718 | C4×D4 | — | 8 | 2 | no | — |
| 719 | C4×D4 | — | 8 | 2 | no | — |
| 720 | C4×D4 | — | 8 | 1 | no | — |
| 721 | C4×D4 | — | 16 | 2 | no | — |
| 722 | C4×D4 | — | 16 | 1 | no | — |
| 723 | C4×D4 | — | 16 | 2 | no | — |
| 724 | C4×D4 | — | 16 | 1 | no | — |
| 725 | C4×D4 | — | 16 | 2 | no | — |
| 726 | C4×D4 | — | 16 | 2 | no | — |
| 727 | C4×D4 | — | 16 | 2 | no | — |
| 728 | C4×D4 | — | 16 | 1 | no | — |
| 729 | C4×D4 | — | 16 | 2 | no | — |
| 730 | C4×D4 | — | 16 | 1 | no | — |
| 731 | C4×D4 | — | 16 | 2 | no | — |
| 732 | C4×D4 | — | 16 | 1 | no | — |
| 733 | C4×D4 | — | 16 | 2 | no | — |
| 734 | C4×D4 | — | 16 | 1 | no | — |
| 735 | C4×D4 | — | 16 | 2 | no | — |
| 736 | C4×D4 | — | 16 | 1 | no | — |
| 737 | C4×D4 | — | 16 | 2 | no | — |
| 738 | #117 | — | 2 | 1 | no | — |
| 739 | #117 | — | 8 | 2 | no | — |
| 740 | #117 | — | 8 | 1 | no | — |
| 741 | #117 | — | 8 | 1 | no | — |
| 742 | #117 | — | 16 | 2 | no | — |
| 743 | #117 | — | 16 | 1 | no | — |
| 744 | #117 | — | 16 | 2 | no | — |
| 745 | #117 | — | 16 | 1 | no | — |
| 746 | #117 | C2×D16 | 1 | 1 | yes | characteristic |
| 747 | C2×C4⋊C4 | — | 8 | 2 | no | — |
| 748 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 749 | C2×C4⋊C4 | — | 16 | 2 | no | — |
| 750 | C2×C4⋊C4 | — | 16 | 1 | no | — |
| 751 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 752 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 753 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 754 | C2×C22⋊C4 | — | 16 | 1 | no | — |
| 755 | C2×C22⋊C4 | — | 16 | 2 | no | — |
| 756 | C2×C42 | — | 2 | 1 | no | — |
| 757 | C2×C42 | — | 16 | 2 | no | — |
| 758 | C2×C42 | — | 16 | 1 | no | — |
| 759 | C2×C42 | C2×D16 | 1 | 1 | yes | characteristic |
| 760 | Q32 | — | 2 | 2 | no | — |
| 761 | Q32 | — | 4 | 1 | no | — |
| 762 | Q32 | — | 4 | 1 | no | — |
| 763 | Q32 | — | 4 | 1 | no | — |
| 764 | SD32 | — | 4 | 8 | no | — |
| 765 | SD32 | — | 4 | 2 | no | — |
| 766 | SD32 | — | 4 | 2 | no | — |
| 767 | SD32 | — | 8 | 1 | no | — |
| 768 | SD32 | — | 8 | 1 | no | — |
| 769 | D16 | — | 2 | 2 | no | — |
| 770 | D16 | — | 2 | 4 | no | — |
| 771 | D16 | — | 4 | 8 | no | — |
| 772 | D16 | — | 4 | 2 | no | — |
| 773 | D16 | — | 4 | 2 | no | — |
| 774 | D16 | — | 4 | 1 | no | — |
| 775 | D16 | — | 4 | 1 | no | — |
| 776 | D16 | — | 4 | 2 | no | — |
| 777 | D16 | — | 4 | 1 | no | — |
| 778 | M32 | — | 2 | 1 | no | — |
| 779 | M32 | — | 2 | 2 | no | — |
| 780 | M32 | — | 2 | 2 | no | — |
| 781 | M32 | — | 2 | 1 | no | — |
| 782 | M32 | — | 2 | 1 | no | — |
| 783 | M32 | — | 4 | 2 | no | — |
| 784 | M32 | C4×D8 | 1 | 2 | yes | — |
| 785 | C2×C16 | — | 2 | 1 | no | — |
| 786 | C2×C16 | — | 2 | 1 | no | — |
| 787 | C2×C16 | — | 2 | 1 | no | — |
| 788 | C2×C16 | — | 2 | 2 | no | — |
| 789 | C2×C16 | — | 2 | 2 | no | — |
| 790 | C2×C16 | — | 2 | 1 | no | — |
| 791 | C2×C16 | — | 4 | 2 | no | — |
| 792 | C2×C16 | #447 | 1 | 1 | yes | characteristic |
| 793 | C2×C16 | #447 | 1 | 1 | yes | characteristic |
| 794 | C2×C16 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 795 | C2×C16 | C2×#120 | 1 | 1 | yes | characteristic |
| 796 | C2×C16 | #525 | 1 | 1 | yes | characteristic |
| 797 | C2×C16 | C2×#135 | 1 | 1 | yes | characteristic |
| 798 | C2×C16 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 799 | C2×C16 | #575 | 1 | 1 | yes | characteristic |
| 800 | #108 | — | 4 | 2 | no | — |
| 801 | #108 | — | 8 | 1 | no | — |
| 802 | #108 | — | 8 | 1 | no | — |
| 803 | #108 | — | 8 | 1 | no | — |
| 804 | #108 | — | 16 | 2 | no | — |
| 805 | #107 | — | 4 | 1 | no | — |
| 806 | #107 | — | 4 | 2 | no | — |
| 807 | #107 | — | 4 | 1 | no | — |
| 808 | #107 | — | 8 | 2 | no | — |
| 809 | #107 | — | 8 | 1 | no | — |
| 810 | #107 | — | 8 | 1 | no | — |
| 811 | #106 | — | 8 | 2 | no | — |
| 812 | #106 | — | 8 | 1 | no | — |
| 813 | #106 | — | 8 | 1 | no | — |
| 814 | #104 | — | 16 | 2 | no | — |
| 815 | #104 | — | 16 | 2 | no | — |
| 816 | #104 | — | 16 | 1 | no | — |
| 817 | #104 | — | 16 | 1 | no | — |
| 818 | #103 | — | 8 | 2 | no | — |
| 819 | #103 | — | 8 | 1 | no | — |
| 820 | #103 | — | 8 | 1 | no | — |
| 821 | #102 | — | 8 | 2 | no | — |
| 822 | #102 | — | 8 | 2 | no | — |
| 823 | #102 | — | 8 | 2 | no | — |
| 824 | #102 | — | 8 | 1 | no | — |
| 825 | #102 | — | 8 | 2 | no | — |
| 826 | #102 | — | 8 | 2 | no | — |
| 827 | #102 | — | 8 | 1 | no | — |
| 828 | #101 | — | 8 | 2 | no | — |
| 829 | #100 | — | 8 | 2 | no | — |
| 830 | #99 | — | 16 | 2 | no | — |
| 831 | #97 | — | 2 | 1 | no | — |
| 832 | #97 | — | 2 | 1 | no | — |
| 833 | #97 | — | 2 | 1 | no | — |
| 834 | #97 | — | 16 | 1 | no | — |
| 835 | C4×C8 | — | 2 | 1 | no | — |
| 836 | C4×C8 | — | 2 | 1 | no | — |
| 837 | C4×C8 | — | 2 | 1 | no | — |
| 838 | C4×C8 | — | 16 | 1 | no | — |
| 839 | C4×C8 | #447 | 1 | 1 | yes | characteristic |
| 840 | C4×C8 | #447 | 1 | 1 | yes | characteristic |
| 841 | C4×C8 | #509 | 1 | 1 | yes | characteristic |
| 842 | C4×C8 | #509 | 1 | 1 | yes | characteristic |
| 843 | C32 | — | 2 | 1 | no | — |
| 844 | C32 | — | 2 | 1 | no | — |
| 845 | C32 | — | 2 | 2 | no | — |
| 846 | C32 | — | 4 | 1 | no | — |
| 847 | C32 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 848 | C32 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 849 | C32 | #525 | 1 | 1 | yes | characteristic |
| 850 | C32 | #525 | 1 | 1 | yes | characteristic |
| 851 | C24 | — | 16 | 2 | no | — |
| 852 | C24 | — | 16 | 1 | no | — |
| 853 | #41 | — | 2 | 1 | no | — |
| 854 | #41 | — | 2 | 1 | no | — |
| 855 | #41 | — | 8 | 8 | no | — |
| 856 | #41 | — | 8 | 2 | no | — |
| 857 | #41 | — | 8 | 2 | no | — |
| 858 | #41 | — | 16 | 4 | no | — |
| 859 | #41 | — | 16 | 4 | no | — |
| 860 | #41 | — | 16 | 4 | no | — |
| 861 | #41 | — | 16 | 1 | no | — |
| 862 | #41 | — | 16 | 1 | no | — |
| 863 | #41 | — | 16 | 1 | no | — |
| 864 | #41 | — | 16 | 1 | no | — |
| 865 | #41 | — | 16 | 1 | no | — |
| 866 | #41 | — | 16 | 1 | no | — |
| 867 | #41 | C4×D16 | 1 | 2 | yes | — |
| 868 | #41 | #2263 | 1 | 2 | yes | — |
| 869 | C2×Q8 | — | 8 | 1 | no | — |
| 870 | C2×Q8 | — | 8 | 1 | no | — |
| 871 | C2×Q8 | #2263 | 1 | 1 | yes | characteristic |
| 872 | C2×D4 | — | 2 | 1 | no | — |
| 873 | C2×D4 | — | 8 | 8 | no | — |
| 874 | C2×D4 | — | 8 | 2 | no | — |
| 875 | C2×D4 | — | 8 | 2 | no | — |
| 876 | C2×D4 | — | 8 | 1 | no | — |
| 877 | C2×D4 | — | 8 | 1 | no | — |
| 878 | C2×D4 | — | 8 | 2 | no | — |
| 879 | C2×D4 | — | 16 | 2 | no | — |
| 880 | C2×D4 | — | 16 | 4 | no | — |
| 881 | C2×D4 | — | 16 | 8 | no | — |
| 882 | C2×D4 | — | 16 | 8 | no | — |
| 883 | C2×D4 | — | 16 | 4 | no | — |
| 884 | C2×D4 | — | 16 | 2 | no | — |
| 885 | C2×D4 | — | 16 | 1 | no | — |
| 886 | C2×D4 | — | 16 | 4 | no | — |
| 887 | C2×D4 | — | 16 | 1 | no | — |
| 888 | C2×D4 | — | 16 | 1 | no | — |
| 889 | C2×D4 | — | 16 | 1 | no | — |
| 890 | C2×D4 | — | 16 | 1 | no | — |
| 891 | C2×D4 | #2263 | 1 | 1 | yes | characteristic |
| 892 | C22×C4 | — | 2 | 1 | no | — |
| 893 | C22×C4 | — | 2 | 2 | no | — |
| 894 | C22×C4 | — | 2 | 1 | no | — |
| 895 | C22×C4 | — | 16 | 2 | no | — |
| 896 | C22×C4 | — | 16 | 2 | no | — |
| 897 | C22×C4 | — | 16 | 1 | no | — |
| 898 | C22×C4 | — | 16 | 2 | no | — |
| 899 | C22×C4 | — | 16 | 1 | no | — |
| 900 | C22×C4 | — | 16 | 2 | no | — |
| 901 | C22×C4 | — | 16 | 2 | no | — |
| 902 | C22×C4 | — | 16 | 2 | no | — |
| 903 | C22×C4 | — | 16 | 1 | no | — |
| 904 | C22×C4 | — | 16 | 2 | no | — |
| 905 | C22×C4 | — | 16 | 1 | no | — |
| 906 | C22×C4 | — | 16 | 1 | no | — |
| 907 | C22×C4 | — | 64 | 2 | no | — |
| 908 | C22×C4 | — | 64 | 4 | no | — |
| 909 | C22×C4 | C22×D16 | 1 | 1 | yes | characteristic |
| 910 | Q16 | — | 4 | 2 | no | — |
| 911 | Q16 | — | 8 | 1 | no | — |
| 912 | Q16 | — | 8 | 1 | no | — |
| 913 | Q16 | — | 8 | 1 | no | — |
| 914 | Q16 | — | 16 | 2 | no | — |
| 915 | SD16 | — | 8 | 8 | no | — |
| 916 | SD16 | — | 8 | 2 | no | — |
| 917 | SD16 | — | 8 | 2 | no | — |
| 918 | SD16 | — | 16 | 2 | no | — |
| 919 | SD16 | — | 16 | 2 | no | — |
| 920 | SD16 | — | 16 | 1 | no | — |
| 921 | SD16 | — | 16 | 1 | no | — |
| 922 | D8 | — | 4 | 2 | no | — |
| 923 | D8 | — | 4 | 4 | no | — |
| 924 | D8 | — | 8 | 8 | no | — |
| 925 | D8 | — | 8 | 2 | no | — |
| 926 | D8 | — | 8 | 2 | no | — |
| 927 | D8 | — | 8 | 1 | no | — |
| 928 | D8 | — | 8 | 1 | no | — |
| 929 | D8 | — | 8 | 1 | no | — |
| 930 | D8 | — | 8 | 2 | no | — |
| 931 | D8 | — | 16 | 2 | no | — |
| 932 | M16 | — | 2 | 1 | no | — |
| 933 | M16 | — | 2 | 2 | no | — |
| 934 | M16 | — | 2 | 2 | no | — |
| 935 | M16 | — | 2 | 1 | no | — |
| 936 | M16 | — | 2 | 1 | no | — |
| 937 | M16 | — | 4 | 2 | no | — |
| 938 | M16 | — | 8 | 2 | no | — |
| 939 | M16 | — | 16 | 1 | no | — |
| 940 | M16 | — | 16 | 1 | no | — |
| 941 | M16 | — | 16 | 1 | no | — |
| 942 | M16 | — | 32 | 1 | no | — |
| 943 | M16 | — | 32 | 1 | no | — |
| 944 | M16 | C4×D16 | 1 | 2 | yes | — |
| 945 | C2×C8 | — | 2 | 1 | no | — |
| 946 | C2×C8 | — | 2 | 1 | no | — |
| 947 | C2×C8 | — | 2 | 1 | no | — |
| 948 | C2×C8 | — | 2 | 2 | no | — |
| 949 | C2×C8 | — | 2 | 2 | no | — |
| 950 | C2×C8 | — | 2 | 1 | no | — |
| 951 | C2×C8 | — | 4 | 2 | no | — |
| 952 | C2×C8 | — | 16 | 1 | no | — |
| 953 | C2×C8 | — | 16 | 1 | no | — |
| 954 | C2×C8 | — | 32 | 1 | no | — |
| 955 | C2×C8 | — | 32 | 1 | no | — |
| 956 | C2×C8 | #2184 | 1 | 1 | yes | characteristic |
| 957 | C2×C8 | #2184 | 1 | 1 | yes | characteristic |
| 958 | C2×C8 | C2×C4×D8 | 1 | 1 | yes | characteristic |
| 959 | C2×C8 | C2×#447 | 1 | 1 | yes | characteristic |
| 960 | C2×C8 | #3100 | 1 | 1 | yes | characteristic |
| 961 | C2×C8 | C2×#508 | 1 | 1 | yes | characteristic |
| 962 | C2×C8 | C2×#509 | 1 | 1 | yes | characteristic |
| 963 | C2×C8 | #3414 | 1 | 1 | yes | characteristic |
| 964 | C4⋊C4 | — | 2 | 2 | no | — |
| 965 | C4⋊C4 | — | 2 | 1 | no | — |
| 966 | C4⋊C4 | — | 8 | 1 | no | — |
| 967 | C4⋊C4 | — | 8 | 1 | no | — |
| 968 | C4⋊C4 | — | 8 | 2 | no | — |
| 969 | C4⋊C4 | — | 16 | 2 | no | — |
| 970 | C4⋊C4 | — | 16 | 2 | no | — |
| 971 | C4⋊C4 | — | 16 | 1 | no | — |
| 972 | C4⋊C4 | — | 16 | 1 | no | — |
| 973 | C4⋊C4 | — | 16 | 1 | no | — |
| 974 | C4⋊C4 | — | 16 | 1 | no | — |
| 975 | C22⋊C4 | — | 2 | 2 | no | — |
| 976 | C22⋊C4 | — | 16 | 2 | no | — |
| 977 | C22⋊C4 | — | 16 | 1 | no | — |
| 978 | C22⋊C4 | — | 16 | 2 | no | — |
| 979 | C22⋊C4 | — | 16 | 2 | no | — |
| 980 | C22⋊C4 | — | 16 | 2 | no | — |
| 981 | C22⋊C4 | — | 16 | 1 | no | — |
| 982 | C22⋊C4 | — | 16 | 2 | no | — |
| 983 | C22⋊C4 | — | 16 | 2 | no | — |
| 984 | C22⋊C4 | — | 16 | 1 | no | — |
| 985 | C22⋊C4 | — | 16 | 1 | no | — |
| 986 | C22⋊C4 | #2263 | 1 | 2 | yes | — |
| 987 | C42 | — | 2 | 2 | no | — |
| 988 | C42 | — | 2 | 1 | no | — |
| 989 | C42 | — | 2 | 1 | no | — |
| 990 | C42 | — | 16 | 1 | no | — |
| 991 | C42 | — | 16 | 2 | no | — |
| 992 | C42 | — | 16 | 2 | no | — |
| 993 | C42 | — | 16 | 1 | no | — |
| 994 | C42 | — | 16 | 1 | no | — |
| 995 | C42 | — | 16 | 1 | no | — |
| 996 | C42 | #2184 | 1 | 1 | yes | characteristic |
| 997 | C42 | #2184 | 1 | 1 | yes | characteristic |
| 998 | C16 | — | 2 | 2 | no | — |
| 999 | C16 | — | 2 | 1 | no | — |
| 1000 | C16 | — | 2 | 1 | no | — |
| 1001 | C16 | — | 4 | 1 | no | — |
| 1002 | C16 | C4×#120 | 1 | 1 | yes | characteristic |
| 1003 | C16 | C4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 1004 | C16 | #3002 | 1 | 1 | yes | characteristic |
| 1005 | C16 | #3105 | 1 | 1 | yes | characteristic |
| 1006 | C23 | — | 2 | 1 | no | — |
| 1007 | C23 | — | 16 | 8 | no | — |
| 1008 | C23 | — | 16 | 2 | no | — |
| 1009 | C23 | — | 16 | 1 | no | — |
| 1010 | C23 | — | 16 | 2 | no | — |
| 1011 | C23 | — | 16 | 2 | no | — |
| 1012 | C23 | — | 16 | 1 | no | — |
| 1013 | C23 | — | 64 | 1 | no | — |
| 1014 | C23 | — | 64 | 2 | no | — |
| 1015 | C23 | — | 64 | 1 | no | — |
| 1016 | C23 | — | 64 | 2 | no | — |
| 1017 | C23 | C2×#2263 | 1 | 1 | yes | characteristic |
| 1018 | Q8 | — | 2 | 1 | no | — |
| 1019 | Q8 | — | 8 | 2 | no | — |
| 1020 | Q8 | — | 16 | 1 | no | — |
| 1021 | Q8 | — | 16 | 1 | no | — |
| 1022 | Q8 | — | 16 | 1 | no | — |
| 1023 | Q8 | #13654 | 1 | 2 | yes | — |
| 1024 | D4 | — | 2 | 2 | no | — |
| 1025 | D4 | — | 2 | 2 | no | — |
| 1026 | D4 | — | 2 | 1 | no | — |
| 1027 | D4 | — | 8 | 2 | no | — |
| 1028 | D4 | — | 8 | 4 | no | — |
| 1029 | D4 | — | 16 | 8 | no | — |
| 1030 | D4 | — | 16 | 8 | no | — |
| 1031 | D4 | — | 16 | 2 | no | — |
| 1032 | D4 | — | 16 | 2 | no | — |
| 1033 | D4 | — | 16 | 1 | no | — |
| 1034 | D4 | — | 16 | 2 | no | — |
| 1035 | D4 | — | 16 | 1 | no | — |
| 1036 | D4 | — | 16 | 2 | no | — |
| 1037 | D4 | — | 16 | 2 | no | — |
| 1038 | D4 | — | 16 | 1 | no | — |
| 1039 | D4 | — | 32 | 1 | no | — |
| 1040 | D4 | — | 32 | 1 | no | — |
| 1041 | D4 | #13654 | 1 | 2 | yes | — |
| 1042 | C2×C4 | — | 2 | 1 | no | — |
| 1043 | C2×C4 | — | 2 | 2 | no | — |
| 1044 | C2×C4 | — | 2 | 2 | no | — |
| 1045 | C2×C4 | — | 2 | 1 | no | — |
| 1046 | C2×C4 | — | 2 | 2 | no | — |
| 1047 | C2×C4 | — | 2 | 1 | no | — |
| 1048 | C2×C4 | — | 8 | 1 | no | — |
| 1049 | C2×C4 | — | 8 | 2 | no | — |
| 1050 | C2×C4 | — | 16 | 8 | no | — |
| 1051 | C2×C4 | — | 16 | 1 | no | — |
| 1052 | C2×C4 | — | 16 | 2 | no | — |
| 1053 | C2×C4 | — | 16 | 2 | no | — |
| 1054 | C2×C4 | — | 16 | 1 | no | — |
| 1055 | C2×C4 | — | 16 | 2 | no | — |
| 1056 | C2×C4 | — | 16 | 1 | no | — |
| 1057 | C2×C4 | — | 16 | 1 | no | — |
| 1058 | C2×C4 | — | 32 | 4 | no | — |
| 1059 | C2×C4 | — | 32 | 2 | no | — |
| 1060 | C2×C4 | — | 32 | 1 | no | — |
| 1061 | C2×C4 | — | 32 | 1 | no | — |
| 1062 | C2×C4 | — | 32 | 1 | no | — |
| 1063 | C2×C4 | — | 64 | 2 | no | — |
| 1064 | C2×C4 | — | 64 | 1 | no | — |
| 1065 | C2×C4 | — | 64 | 2 | no | — |
| 1066 | C2×C4 | — | 64 | 2 | no | — |
| 1067 | C2×C4 | — | 64 | 2 | no | — |
| 1068 | C2×C4 | — | 64 | 1 | no | — |
| 1069 | C2×C4 | — | 64 | 2 | no | — |
| 1070 | C2×C4 | C2×C4×D16 | 1 | 1 | yes | characteristic |
| 1071 | C2×C4 | C2×#2184 | 1 | 1 | yes | characteristic |
| 1072 | C2×C4 | #33660 | 1 | 1 | yes | characteristic |
| 1073 | C2×C4 | C2×#2263 | 1 | 1 | yes | characteristic |
| 1074 | C2×C4 | C2×#2263 | 1 | 1 | yes | characteristic |
| 1075 | C2×C4 | #33981 | 1 | 1 | yes | characteristic |
| 1076 | C8 | — | 2 | 1 | no | — |
| 1077 | C8 | — | 2 | 1 | no | — |
| 1078 | C8 | — | 2 | 2 | no | — |
| 1079 | C8 | — | 4 | 1 | no | — |
| 1080 | C8 | — | 16 | 2 | no | — |
| 1081 | C8 | — | 32 | 1 | no | — |
| 1082 | C8 | C4×#447 | 1 | 1 | yes | characteristic |
| 1083 | C8 | C4×#509 | 1 | 1 | yes | characteristic |
| 1084 | C8 | #33516 | 1 | 1 | yes | characteristic |
| 1085 | C8 | #33665 | 1 | 1 | yes | characteristic |
| 1086 | C22 | — | 2 | 2 | no | — |
| 1087 | C22 | — | 4 | 1 | no | — |
| 1088 | C22 | — | 4 | 2 | no | — |
| 1089 | C22 | — | 16 | 4 | no | — |
| 1090 | C22 | — | 16 | 2 | no | — |
| 1091 | C22 | — | 32 | 2 | no | — |
| 1092 | C22 | — | 32 | 1 | no | — |
| 1093 | C22 | — | 32 | 2 | no | — |
| 1094 | C22 | — | 32 | 1 | no | — |
| 1095 | C22 | — | 32 | 1 | no | — |
| 1096 | C22 | — | 64 | 2 | no | — |
| 1097 | C22 | — | 64 | 2 | no | — |
| 1098 | C22 | — | 64 | 1 | no | — |
| 1099 | C22 | — | 64 | 8 | no | — |
| 1100 | C22 | C4×#2263 | 1 | 1 | yes | characteristic |
| 1101 | C22 | #512827 | 1 | 1 | yes | characteristic |
| 1102 | C22 | #513003 | 1 | 1 | yes | characteristic |
| 1103 | C4 | — | 2 | 2 | no | — |
| 1104 | C4 | — | 4 | 1 | no | — |
| 1105 | C4 | — | 4 | 2 | no | — |
| 1106 | C4 | — | 4 | 1 | no | — |
| 1107 | C4 | — | 16 | 2 | no | — |
| 1108 | C4 | — | 32 | 2 | no | — |
| 1109 | C4 | — | 32 | 1 | no | — |
| 1110 | C4 | — | 32 | 1 | no | — |
| 1111 | C4 | — | 32 | 1 | no | — |
| 1112 | C4 | — | 64 | 1 | no | — |
| 1113 | C4 | C4×#2184 | 1 | 1 | yes | characteristic |
| 1114 | C4 | C2×#13654 | 1 | 1 | yes | characteristic |
| 1115 | C4 | #512830 | 1 | 1 | yes | characteristic |
| 1116 | C4 | #513008 | 1 | 1 | yes | characteristic |
| 1117 | C2 | — | 2 | 1 | no | — |
| 1118 | C2 | — | 2 | 1 | no | — |
| 1119 | C2 | — | 2 | 1 | no | — |
| 1120 | C2 | — | 4 | 2 | no | — |
| 1121 | C2 | — | 32 | 4 | no | — |
| 1122 | C2 | — | 32 | 2 | no | — |
| 1123 | C2 | — | 64 | 1 | no | — |
| 1124 | C2 | #72286704 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72286704 |
| commutator | C2×C32 | C23×C4 |
| Frattini, cosocle | C22×C32 | C24 |
| prime radical | #72321604 | C2 |
| LCS | G ▷ C2×C32 ▷ C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C22×C4 ◁ C4×#131 ◁ C4×#504 ◁ #512545 ◁ G | |
| LECS | G ▷ C22×C32 ▷ C16 ▷ C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72321632 | C2 | semidirect |
| 2. #72321629 | C2 | semidirect |
| 3. #72321622 | C2 | semidirect |
| 4. #72321615 | C2 | semidirect |
| 5. #72321610 | C2 | semidirect |
| 7. #72321599 | C2 | semidirect |
| 8. #72321597 | C2 | semidirect |
| 9. #72321570 | C2 | semidirect |
| 10. #72321140 | C2 | semidirect |
| 11. #72321113 | C2 | semidirect |
| 12. #72320566 | C2 | semidirect |
| 13. #72286491 | C2 | semidirect |
| 14. C2×#153598 | C2 | semidirect |
| 15. #72232007 | C2 | semidirect |
| 21. C2×#13656 | C22 | semidirect |
| 38. #153611 | C4 | semidirect |
| 39. #153609 | C4 | semidirect |
| 46. #153578 | C22 | semidirect |
| 47. C2×#7548 | C22 | semidirect |
| 52. #153562 | C22 | semidirect |
| 53. C2×#7540 | C22 | semidirect |
| 58. C2×#7511 | C22 | semidirect |
| 59. C2×#7511 | C22 | semidirect |
| 60. #152977 | C22 | semidirect |
| 61. #152859 | C22 | semidirect |
| 65. #151996 | C22 | semidirect |
| 67. #94770 | C22 | semidirect |
| 68. #94767 | C22 | semidirect |
| 69. #94765 | C22 | semidirect |
| 70. #94764 | C22 | semidirect |
| 71. #94759 | C22 | semidirect |
| 72. #94759 | C22 | semidirect |
| 107. #13743 | C2×C4 | semidirect |
| 111. #13742 | C2×C4 | semidirect |
| 113. C2×SD128 | C2×C4 | semidirect |
| 114. C2×D64 | C2×C4 | semidirect |
| 120. #13701 | C2×C4 | semidirect |
| 121. #13700 | C2×C4 | semidirect |
| 191. #7541 | C2×C4 | semidirect |
| 196. #7539 | C2×C4 | semidirect |
| 199. #7514 | C2×C4 | semidirect |
| 254. C2×Q64 | C22×C4 | semidirect |
| 266. C2×D32 | C22×C4 | semidirect |
| 363. M128 | C22×C4 | semidirect |
| 367. C2×C64 | C22×C4 | semidirect |
| 371. #1425 | C22×C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72321632 | 2 |
| #72321629 | 2 |
| #72321622 | 2 |
| #72321615 | 2 |
| #72321610 | 2 |
| #72321604 | 2 |
| #72321599 | 2 |
| #72321597 | 2 |
| #72321570 | 2 |
| #72321140 | 2 |
| #72321113 | 2 |
| #72320566 | 2 |
| #72286491 | 2 |
| C2×#153598 | 2 |
| #72232007 | 2 |