Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
1628 conjugacy classes of subgroups.
The subgroup lattice has 1131 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72343330 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #72343092 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #72321024 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #72319535 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #72319069 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #72287629 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72287610 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72287365 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #72286095 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #72225113 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #72224959 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #7623519 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#17963 | — | 2 | 1 | no | — |
| 14 | #513024 | C22 | 1 | 2 | yes | — |
| 15 | #499506 | C22 | 1 | 1 | yes | characteristic |
| 16 | #496949 | — | 2 | 1 | no | — |
| 17 | #483989 | — | 2 | 1 | no | — |
| 18 | #483989 | C22 | 1 | 2 | yes | — |
| 19 | #483958 | — | 2 | 1 | no | — |
| 20 | #483958 | C22 | 1 | 2 | yes | — |
| 21 | #483925 | — | 2 | 2 | no | — |
| 22 | #483924 | — | 2 | 2 | no | — |
| 23 | #483879 | — | 2 | 2 | no | — |
| 24 | #483878 | — | 2 | 2 | no | — |
| 25 | #483600 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #483444 | C22 | 1 | 1 | yes | characteristic |
| 27 | #481383 | — | 2 | 1 | no | — |
| 28 | #479966 | C22 | 1 | 1 | yes | characteristic |
| 29 | #151511 | C4 | 1 | 2 | yes | — |
| 30 | #151491 | C4 | 1 | 1 | yes | characteristic |
| 31 | #151490 | C4 | 1 | 1 | yes | characteristic |
| 32 | #151299 | C4 | 1 | 2 | yes | — |
| 33 | #151183 | C4 | 1 | 1 | yes | characteristic |
| 34 | #151182 | C4 | 1 | 1 | yes | characteristic |
| 35 | #151120 | — | 2 | 2 | no | — |
| 36 | #151119 | — | 2 | 2 | no | — |
| 37 | AGL(1,ℤ/32) | — | 2 | 2 | no | — |
| 38 | #151105 | — | 2 | 2 | no | — |
| 39 | #151060 | C22 | 1 | 2 | yes | complemented |
| 40 | #150979 | C22 | 1 | 2 | yes | — |
| 41 | #150390 | C22 | 1 | 2 | yes | — |
| 42 | #150147 | C22 | 1 | 2 | yes | complemented |
| 43 | #150131 | C22 | 1 | 2 | yes | — |
| 44 | #149659 | C22 | 1 | 1 | yes | characteristic |
| 45 | #149659 | C22 | 1 | 1 | yes | characteristic |
| 46 | #149515 | C22 | 1 | 2 | yes | complemented |
| 47 | #140776 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #140362 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #140192 | — | 2 | 1 | no | — |
| 50 | #137625 | — | 2 | 1 | no | — |
| 51 | #134699 | C22 | 1 | 1 | yes | characteristic |
| 52 | #129173 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #128714 | — | 2 | 1 | no | — |
| 54 | #94418 | C22 | 1 | 2 | yes | complemented |
| 55 | #94407 | C22 | 1 | 2 | yes | complemented |
| 56 | #94121 | C22 | 1 | 2 | yes | complemented |
| 57 | C2×#3168 | — | 2 | 1 | no | — |
| 58 | C2×#2966 | — | 4 | 1 | no | — |
| 59 | #33822 | — | 2 | 1 | no | — |
| 60 | #33822 | C2×C4 | 1 | 2 | yes | — |
| 61 | #33798 | — | 2 | 2 | no | — |
| 62 | #33777 | — | 2 | 2 | no | — |
| 63 | #33761 | C2×C4 | 1 | 1 | yes | characteristic |
| 64 | #33759 | — | 2 | 1 | no | — |
| 65 | #33758 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | #33750 | — | 2 | 1 | no | — |
| 67 | #33750 | C23 | 1 | 2 | yes | — |
| 68 | #33677 | — | 2 | 2 | no | — |
| 69 | #33674 | — | 2 | 2 | no | — |
| 70 | #33463 | C23 | 1 | 1 | yes | characteristic |
| 71 | #33443 | — | 2 | 1 | no | — |
| 72 | #33418 | D4 | 1 | 1 | yes | characteristic |
| 73 | #33418 | C23 | 1 | 1 | yes | characteristic |
| 74 | #21544 | — | 2 | 1 | no | — |
| 75 | #17963 | — | 2 | 2 | no | — |
| 76 | #17963 | — | 2 | 2 | no | — |
| 77 | #17963 | — | 2 | 2 | no | — |
| 78 | #17963 | — | 2 | 2 | no | — |
| 79 | #17963 | — | 4 | 1 | no | — |
| 80 | #17963 | — | 4 | 1 | no | — |
| 81 | #17963 | — | 4 | 1 | no | — |
| 82 | #17963 | — | 4 | 1 | no | — |
| 83 | C2×#1594 | — | 2 | 1 | no | — |
| 84 | C2×#1593 | — | 2 | 1 | no | — |
| 85 | C2×#1592 | — | 4 | 1 | no | — |
| 86 | C2×#1580 | — | 2 | 1 | no | — |
| 87 | C2×#1579 | — | 2 | 1 | no | — |
| 88 | C2×SD16⋊C8 | — | 4 | 1 | no | — |
| 89 | C2×#1568 | — | 2 | 1 | no | — |
| 90 | C2×#1494 | — | 4 | 1 | no | — |
| 91 | C22×#322 | D4 | 1 | 1 | yes | characteristic |
| 92 | #13718 | C2×C4 | 1 | 2 | yes | — |
| 93 | #13717 | C2×C4 | 1 | 2 | yes | — |
| 94 | #13709 | — | 2 | 2 | no | — |
| 95 | #13691 | — | 2 | 2 | no | — |
| 96 | #13668 | C2×C4 | 1 | 2 | yes | — |
| 97 | #13667 | C2×C4 | 1 | 2 | yes | — |
| 98 | #13658 | — | 2 | 2 | no | — |
| 99 | #13657 | — | 2 | 2 | no | — |
| 100 | #13642 | C23 | 1 | 2 | yes | — |
| 101 | #13642 | C23 | 1 | 2 | yes | — |
| 102 | #13519 | C2×C4 | 1 | 1 | yes | characteristic |
| 103 | #13498 | C2×C4 | 1 | 1 | yes | characteristic |
| 104 | #13466 | — | 2 | 1 | no | — |
| 105 | #13444 | C2×C4 | 1 | 1 | yes | characteristic |
| 106 | #13395 | — | 2 | 1 | no | — |
| 107 | #13309 | C2×C4 | 1 | 1 | yes | characteristic |
| 108 | #13200 | — | 4 | 1 | no | — |
| 109 | #13197 | — | 2 | 1 | no | — |
| 110 | #13164 | — | 2 | 1 | no | — |
| 111 | #13129 | — | 4 | 1 | no | — |
| 112 | #12981 | — | 4 | 1 | no | — |
| 113 | #12918 | — | 4 | 1 | no | — |
| 114 | #12788 | — | 2 | 1 | no | — |
| 115 | #12668 | C23 | 1 | 1 | yes | characteristic |
| 116 | #12667 | — | 2 | 1 | no | — |
| 117 | #12646 | — | 2 | 1 | no | — |
| 118 | #12089 | — | 2 | 1 | no | — |
| 119 | #12089 | D4 | 1 | 2 | yes | complemented |
| 120 | #12088 | — | 2 | 1 | no | — |
| 121 | #12088 | D4 | 1 | 2 | yes | complemented |
| 122 | #12087 | — | 2 | 2 | no | — |
| 123 | #12087 | — | 2 | 2 | no | — |
| 124 | #12080 | — | 2 | 2 | no | — |
| 125 | #12080 | — | 2 | 2 | no | — |
| 126 | #12079 | — | 2 | 2 | no | — |
| 127 | #12079 | — | 2 | 2 | no | — |
| 128 | #12078 | — | 2 | 2 | no | — |
| 129 | #12078 | — | 2 | 2 | no | — |
| 130 | #12077 | — | 2 | 2 | no | — |
| 131 | #12077 | — | 2 | 2 | no | — |
| 132 | #12068 | — | 2 | 2 | no | — |
| 133 | #12068 | — | 2 | 2 | no | — |
| 134 | #12067 | — | 2 | 1 | no | — |
| 135 | #12067 | D4 | 1 | 2 | yes | complemented |
| 136 | #12066 | — | 2 | 1 | no | — |
| 137 | #12066 | D4 | 1 | 2 | yes | complemented |
| 138 | #12065 | — | 2 | 2 | no | — |
| 139 | #12065 | — | 2 | 2 | no | — |
| 140 | #12028 | — | 2 | 2 | no | — |
| 141 | #12028 | — | 2 | 2 | no | — |
| 142 | #12021 | — | 2 | 1 | no | — |
| 143 | #12021 | C23 | 1 | 2 | yes | — |
| 144 | #12011 | C23 | 1 | 1 | yes | characteristic |
| 145 | #12002 | C23 | 1 | 1 | yes | characteristic |
| 146 | #11682 | — | 2 | 2 | no | — |
| 147 | #11682 | — | 2 | 2 | no | — |
| 148 | #11668 | — | 2 | 2 | no | — |
| 149 | #11667 | — | 2 | 2 | no | — |
| 150 | #11651 | — | 2 | 2 | no | — |
| 151 | #11651 | — | 2 | 2 | no | — |
| 152 | C2×#1336 | — | 2 | 1 | no | — |
| 153 | C2×#1336 | — | 2 | 1 | no | — |
| 154 | #11415 | — | 2 | 2 | no | — |
| 155 | #11415 | — | 2 | 2 | no | — |
| 156 | #11404 | D4 | 1 | 1 | yes | characteristic |
| 157 | #11404 | D4 | 1 | 1 | yes | characteristic |
| 158 | #11404 | C23 | 1 | 1 | yes | characteristic |
| 159 | #11404 | C23 | 1 | 1 | yes | characteristic |
| 160 | #7457 | — | 2 | 2 | no | — |
| 161 | #7457 | — | 2 | 2 | no | — |
| 162 | #7454 | — | 2 | 2 | no | — |
| 163 | #7447 | — | 2 | 2 | no | — |
| 164 | #7425 | C2×C4 | 1 | 2 | yes | — |
| 165 | #7424 | C2×C4 | 1 | 2 | yes | — |
| 166 | #7423 | C2×C4 | 1 | 2 | yes | — |
| 167 | #7422 | C2×C4 | 1 | 2 | yes | — |
| 168 | #7391 | — | 2 | 2 | no | — |
| 169 | #7390 | — | 2 | 2 | no | — |
| 170 | #7389 | — | 2 | 2 | no | — |
| 171 | #7389 | — | 2 | 2 | no | — |
| 172 | #7364 | — | 2 | 1 | no | — |
| 173 | #7364 | C2×C4 | 1 | 2 | yes | — |
| 174 | #7336 | — | 2 | 1 | no | — |
| 175 | #7336 | C2×C4 | 1 | 1 | yes | characteristic |
| 176 | #7336 | C2×C4 | 1 | 1 | yes | characteristic |
| 177 | #7333 | — | 2 | 2 | no | — |
| 178 | #7333 | — | 2 | 2 | no | — |
| 179 | #7182 | — | 2 | 1 | no | — |
| 180 | #7182 | — | 2 | 1 | no | — |
| 181 | #7162 | — | 2 | 1 | no | — |
| 182 | C2×#529 | — | 4 | 1 | no | — |
| 183 | #3414 | C22×C4 | 1 | 1 | yes | characteristic |
| 184 | #3407 | — | 4 | 1 | no | — |
| 185 | #3168 | — | 2 | 2 | no | — |
| 186 | #3168 | — | 2 | 2 | no | — |
| 187 | #3168 | — | 2 | 2 | no | — |
| 188 | #3168 | — | 2 | 2 | no | — |
| 189 | #3168 | — | 4 | 1 | no | — |
| 190 | #3168 | — | 4 | 1 | no | — |
| 191 | #3168 | — | 4 | 1 | no | — |
| 192 | #3168 | — | 4 | 1 | no | — |
| 193 | C2×#499 | — | 2 | 1 | no | — |
| 194 | C2×#495 | — | 2 | 1 | no | — |
| 195 | C2×#488 | — | 4 | 1 | no | — |
| 196 | #3050 | — | 2 | 1 | no | — |
| 197 | C2×#467 | — | 2 | 1 | no | — |
| 198 | C2×#466 | — | 2 | 1 | no | — |
| 199 | C2×#465 | — | 4 | 1 | no | — |
| 200 | #2966 | — | 4 | 2 | no | — |
| 201 | #2966 | — | 4 | 2 | no | — |
| 202 | #2966 | — | 4 | 2 | no | — |
| 203 | #2966 | — | 4 | 2 | no | — |
| 204 | #2966 | — | 8 | 1 | no | — |
| 205 | #2966 | — | 8 | 1 | no | — |
| 206 | #2966 | — | 8 | 1 | no | — |
| 207 | #2966 | — | 8 | 1 | no | — |
| 208 | C2×#446 | — | 4 | 1 | no | — |
| 209 | C2×C8×Q8 | — | 4 | 1 | no | — |
| 210 | C2×#443 | — | 2 | 1 | no | — |
| 211 | C2×C4×Q16 | — | 2 | 1 | no | — |
| 212 | C2×C4×SD16 | — | 4 | 1 | no | — |
| 213 | C2×C4×D8 | — | 2 | 1 | no | — |
| 214 | #2929 | — | 4 | 1 | no | — |
| 215 | C2×#436 | — | 4 | 1 | no | — |
| 216 | C2×#435 | — | 8 | 1 | no | — |
| 217 | C2×C8×D4 | — | 4 | 1 | no | — |
| 218 | C2×C8×D4 | — | 8 | 1 | no | — |
| 219 | C2×#433 | — | 8 | 1 | no | — |
| 220 | C2×#432 | — | 4 | 1 | no | — |
| 221 | C2×#405 | — | 8 | 1 | no | — |
| 222 | C22×C4×C8 | — | 2 | 1 | no | — |
| 223 | C22×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | #2264 | — | 2 | 2 | no | — |
| 225 | #2263 | — | 2 | 2 | no | — |
| 226 | #2253 | — | 2 | 1 | no | — |
| 227 | #2253 | #41 | 1 | 2 | yes | — |
| 228 | #2249 | — | 2 | 1 | no | — |
| 229 | #2249 | #41 | 1 | 2 | yes | — |
| 230 | #2242 | — | 2 | 2 | no | — |
| 231 | #2242 | — | 2 | 2 | no | — |
| 232 | #2236 | — | 2 | 2 | no | — |
| 233 | #2235 | — | 2 | 2 | no | — |
| 234 | #2233 | — | 2 | 2 | no | — |
| 235 | #2232 | — | 2 | 2 | no | — |
| 236 | #2229 | — | 2 | 2 | no | — |
| 237 | #2229 | — | 2 | 2 | no | — |
| 238 | #2228 | — | 2 | 2 | no | — |
| 239 | #2228 | — | 2 | 2 | no | — |
| 240 | #2220 | — | 2 | 2 | no | — |
| 241 | #2220 | — | 2 | 2 | no | — |
| 242 | #2219 | — | 2 | 1 | no | — |
| 243 | #2219 | C22×C4 | 1 | 2 | yes | — |
| 244 | #2218 | — | 2 | 1 | no | — |
| 245 | #2218 | C22×C4 | 1 | 2 | yes | — |
| 246 | #2211 | — | 2 | 2 | no | — |
| 247 | #2211 | — | 2 | 2 | no | — |
| 248 | #2210 | — | 2 | 2 | no | — |
| 249 | #2210 | — | 2 | 2 | no | — |
| 250 | #2188 | — | 2 | 2 | no | — |
| 251 | #2187 | — | 2 | 2 | no | — |
| 252 | #2185 | — | 2 | 2 | no | — |
| 253 | #2184 | — | 2 | 2 | no | — |
| 254 | #2179 | — | 2 | 2 | no | — |
| 255 | #2178 | — | 2 | 2 | no | — |
| 256 | #2177 | — | 2 | 1 | no | — |
| 257 | #2177 | C2×D4 | 1 | 2 | yes | — |
| 258 | #2176 | — | 2 | 1 | no | — |
| 259 | #2176 | C2×D4 | 1 | 2 | yes | — |
| 260 | #2175 | — | 2 | 2 | no | — |
| 261 | #2175 | — | 2 | 2 | no | — |
| 262 | #2171 | — | 4 | 2 | no | — |
| 263 | #2170 | — | 4 | 2 | no | — |
| 264 | #2163 | — | 2 | 2 | no | — |
| 265 | #2163 | — | 2 | 2 | no | — |
| 266 | #2162 | — | 2 | 2 | no | — |
| 267 | #2162 | — | 4 | 1 | no | — |
| 268 | #2161 | C22×C4 | 1 | 1 | yes | characteristic |
| 269 | #2155 | — | 2 | 1 | no | — |
| 270 | #2153 | — | 4 | 1 | no | — |
| 271 | C2×#364 | — | 2 | 1 | no | — |
| 272 | C2×#364 | — | 2 | 1 | no | — |
| 273 | #2150 | — | 2 | 1 | no | — |
| 274 | #2150 | C22×C4 | 1 | 1 | yes | characteristic |
| 275 | #2150 | #41 | 1 | 1 | yes | characteristic |
| 276 | #2148 | — | 2 | 1 | no | — |
| 277 | #2145 | — | 2 | 1 | no | — |
| 278 | #2143 | — | 2 | 1 | no | — |
| 279 | #2117 | — | 4 | 1 | no | — |
| 280 | #2117 | — | 4 | 1 | no | — |
| 281 | #2115 | — | 4 | 1 | no | — |
| 282 | #2112 | — | 2 | 1 | no | — |
| 283 | #2112 | — | 4 | 1 | no | — |
| 284 | #2112 | C22×C4 | 1 | 1 | yes | characteristic |
| 285 | #2112 | #41 | 1 | 1 | yes | characteristic |
| 286 | #2110 | — | 4 | 1 | no | — |
| 287 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 289 | C4×M32 | C2×D4 | 1 | 1 | yes | characteristic |
| 290 | C4×M32 | C24 | 1 | 1 | yes | characteristic |
| 291 | #1974 | — | 2 | 1 | no | — |
| 292 | #1945 | — | 2 | 1 | no | — |
| 293 | #1937 | — | 4 | 1 | no | — |
| 294 | #1896 | — | 4 | 1 | no | — |
| 295 | #1810 | — | 2 | 1 | no | — |
| 296 | #1772 | — | 2 | 1 | no | — |
| 297 | #1764 | — | 4 | 1 | no | — |
| 298 | #1594 | — | 2 | 2 | no | — |
| 299 | #1594 | — | 2 | 2 | no | — |
| 300 | #1594 | — | 4 | 1 | no | — |
| 301 | #1594 | — | 4 | 1 | no | — |
| 302 | #1593 | — | 2 | 2 | no | — |
| 303 | #1593 | — | 2 | 2 | no | — |
| 304 | #1593 | — | 4 | 1 | no | — |
| 305 | #1593 | — | 4 | 1 | no | — |
| 306 | #1592 | — | 4 | 2 | no | — |
| 307 | #1592 | — | 4 | 2 | no | — |
| 308 | #1592 | — | 4 | 2 | no | — |
| 309 | #1592 | — | 4 | 2 | no | — |
| 310 | #1580 | — | 2 | 2 | no | — |
| 311 | #1580 | — | 2 | 2 | no | — |
| 312 | #1580 | — | 4 | 1 | no | — |
| 313 | #1580 | — | 4 | 1 | no | — |
| 314 | #1579 | — | 2 | 2 | no | — |
| 315 | #1579 | — | 2 | 2 | no | — |
| 316 | #1579 | — | 4 | 1 | no | — |
| 317 | #1579 | — | 4 | 1 | no | — |
| 318 | SD16⋊C8 | — | 4 | 2 | no | — |
| 319 | SD16⋊C8 | — | 4 | 2 | no | — |
| 320 | SD16⋊C8 | — | 4 | 2 | no | — |
| 321 | SD16⋊C8 | — | 4 | 2 | no | — |
| 322 | #1568 | — | 2 | 2 | no | — |
| 323 | #1568 | — | 2 | 2 | no | — |
| 324 | #1568 | — | 4 | 1 | no | — |
| 325 | #1568 | — | 4 | 1 | no | — |
| 326 | C2×#335 | — | 4 | 1 | no | — |
| 327 | C2×#334 | — | 2 | 1 | no | — |
| 328 | C2×#334 | — | 2 | 1 | no | — |
| 329 | #1494 | — | 4 | 2 | no | — |
| 330 | #1494 | — | 4 | 2 | no | — |
| 331 | #1494 | — | 4 | 2 | no | — |
| 332 | #1494 | — | 4 | 2 | no | — |
| 333 | C2×Q8⋊C8 | — | 4 | 1 | no | — |
| 334 | C2×Q8⋊C8 | — | 4 | 1 | no | — |
| 335 | C2×D4⋊C8 | — | 4 | 1 | no | — |
| 336 | C2×D4⋊C8 | — | 4 | 1 | no | — |
| 337 | C2×#322 | — | 2 | 1 | no | — |
| 338 | C2×#322 | — | 2 | 1 | no | — |
| 339 | C2×#322 | — | 2 | 1 | no | — |
| 340 | C2×#322 | — | 2 | 1 | no | — |
| 341 | C2×#322 | — | 2 | 1 | no | — |
| 342 | C2×#322 | C2×D4 | 1 | 1 | yes | characteristic |
| 343 | C2×#322 | C2×D4 | 1 | 1 | yes | characteristic |
| 344 | #1426 | — | 2 | 2 | no | — |
| 345 | #1426 | — | 2 | 2 | no | — |
| 346 | #1422 | — | 2 | 2 | no | — |
| 347 | #1422 | — | 2 | 2 | no | — |
| 348 | #1420 | — | 2 | 2 | no | — |
| 349 | #1419 | — | 2 | 2 | no | — |
| 350 | #1418 | — | 2 | 2 | no | — |
| 351 | #1418 | — | 2 | 2 | no | — |
| 352 | #1400 | — | 2 | 2 | no | — |
| 353 | #1400 | C22×C4 | 1 | 2 | yes | — |
| 354 | #1400 | C22×C4 | 1 | 2 | yes | — |
| 355 | #1398 | — | 2 | 2 | no | — |
| 356 | #1398 | — | 2 | 2 | no | — |
| 357 | #1389 | — | 2 | 1 | no | — |
| 358 | #1388 | — | 2 | 1 | no | — |
| 359 | #1385 | C22×C4 | 1 | 1 | yes | characteristic |
| 360 | #1384 | C22×C4 | 1 | 1 | yes | characteristic |
| 361 | #1378 | — | 4 | 1 | no | — |
| 362 | #1378 | — | 4 | 1 | no | — |
| 363 | #1376 | — | 4 | 1 | no | — |
| 364 | #1373 | — | 2 | 2 | no | — |
| 365 | #1369 | — | 2 | 2 | no | — |
| 366 | #1368 | — | 2 | 2 | no | — |
| 367 | #1368 | — | 2 | 1 | no | — |
| 368 | #1368 | — | 2 | 1 | no | — |
| 369 | #1368 | — | 2 | 2 | no | — |
| 370 | #1368 | C2×D4 | 1 | 2 | yes | — |
| 371 | #1368 | C2×D4 | 1 | 2 | yes | — |
| 372 | #1336 | — | 4 | 1 | no | — |
| 373 | #1336 | — | 4 | 1 | no | — |
| 374 | #1336 | — | 4 | 1 | no | — |
| 375 | #1336 | — | 4 | 1 | no | — |
| 376 | #1334 | — | 2 | 2 | no | — |
| 377 | #1334 | — | 2 | 2 | no | — |
| 378 | #1334 | — | 2 | 2 | no | — |
| 379 | #1334 | — | 2 | 2 | no | — |
| 380 | #1333 | — | 2 | 2 | no | — |
| 381 | #1333 | — | 2 | 2 | no | — |
| 382 | #1333 | — | 2 | 2 | no | — |
| 383 | #1333 | — | 2 | 2 | no | — |
| 384 | #1313 | — | 2 | 2 | no | — |
| 385 | #1313 | — | 2 | 2 | no | — |
| 386 | #1313 | — | 2 | 1 | no | — |
| 387 | #1313 | — | 2 | 1 | no | — |
| 388 | #1313 | C2×D4 | 1 | 2 | yes | — |
| 389 | #1313 | C2×D4 | 1 | 2 | yes | — |
| 390 | C2×#135 | — | 2 | 1 | no | — |
| 391 | C22×Q16 | — | 2 | 1 | no | — |
| 392 | C22×SD16 | — | 4 | 1 | no | — |
| 393 | C22×D8 | — | 2 | 1 | no | — |
| 394 | C2×#131 | — | 4 | 1 | no | — |
| 395 | C22×M16 | — | 8 | 1 | no | — |
| 396 | C23×C8 | — | 4 | 1 | no | — |
| 397 | C23×C8 | — | 8 | 1 | no | — |
| 398 | C23×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 399 | C23×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 400 | #529 | — | 4 | 2 | no | — |
| 401 | #529 | — | 4 | 2 | no | — |
| 402 | #529 | — | 4 | 2 | no | — |
| 403 | #529 | — | 4 | 2 | no | — |
| 404 | #529 | — | 8 | 1 | no | — |
| 405 | #529 | — | 8 | 1 | no | — |
| 406 | #529 | — | 8 | 1 | no | — |
| 407 | #529 | — | 8 | 1 | no | — |
| 408 | C2×#126 | — | 8 | 1 | no | — |
| 409 | C2×#125 | — | 4 | 1 | no | — |
| 410 | C2×#124 | — | 4 | 1 | no | — |
| 411 | #525 | — | 4 | 1 | no | — |
| 412 | C2×#123 | — | 8 | 1 | no | — |
| 413 | C2×C22⋊Q8 | — | 4 | 1 | no | — |
| 414 | C2×#121 | — | 4 | 1 | no | — |
| 415 | C2×C4×Q8 | — | 4 | 1 | no | — |
| 416 | C2×C4×D4 | — | 4 | 1 | no | — |
| 417 | C2×C4×D4 | — | 8 | 1 | no | — |
| 418 | C2×#117 | — | 8 | 1 | no | — |
| 419 | C22×C42 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 420 | #510 | — | 4 | 1 | no | — |
| 421 | #509 | — | 4 | 1 | no | — |
| 422 | #508 | — | 2 | 2 | no | — |
| 423 | C2×Q32 | — | 2 | 1 | no | — |
| 424 | C2×Q32 | C4×D4 | 1 | 2 | yes | — |
| 425 | C2×SD32 | — | 2 | 2 | no | — |
| 426 | C2×SD32 | — | 2 | 2 | no | — |
| 427 | C2×D16 | — | 2 | 1 | no | — |
| 428 | C2×D16 | C4×D4 | 1 | 2 | yes | — |
| 429 | #504 | — | 8 | 2 | no | — |
| 430 | #504 | — | 16 | 1 | no | — |
| 431 | C2×M32 | — | 2 | 1 | no | — |
| 432 | C2×M32 | — | 2 | 1 | no | — |
| 433 | C2×M32 | — | 4 | 1 | no | — |
| 434 | C2×M32 | — | 4 | 1 | no | — |
| 435 | C2×M32 | — | 16 | 1 | no | — |
| 436 | C2×M32 | C4×D4 | 1 | 1 | yes | characteristic |
| 437 | C2×M32 | C4×D4 | 1 | 1 | yes | characteristic |
| 438 | C2×M32 | C23×C4 | 1 | 1 | yes | characteristic |
| 439 | C2×M32 | C2×#41 | 1 | 1 | yes | characteristic |
| 440 | #499 | — | 2 | 2 | no | — |
| 441 | #499 | — | 2 | 2 | no | — |
| 442 | #499 | — | 4 | 1 | no | — |
| 443 | #499 | — | 4 | 1 | no | — |
| 444 | #495 | — | 2 | 2 | no | — |
| 445 | #495 | — | 2 | 2 | no | — |
| 446 | #495 | — | 4 | 1 | no | — |
| 447 | #495 | — | 4 | 1 | no | — |
| 448 | #488 | — | 4 | 2 | no | — |
| 449 | #488 | — | 4 | 2 | no | — |
| 450 | #488 | — | 4 | 2 | no | — |
| 451 | #488 | — | 4 | 2 | no | — |
| 452 | #467 | — | 2 | 2 | no | — |
| 453 | #467 | — | 2 | 2 | no | — |
| 454 | #467 | — | 4 | 1 | no | — |
| 455 | #467 | — | 4 | 1 | no | — |
| 456 | #467 | — | 4 | 1 | no | — |
| 457 | #466 | — | 2 | 2 | no | — |
| 458 | #466 | — | 2 | 2 | no | — |
| 459 | #466 | — | 4 | 1 | no | — |
| 460 | #466 | — | 4 | 1 | no | — |
| 461 | #466 | — | 4 | 1 | no | — |
| 462 | #465 | — | 4 | 2 | no | — |
| 463 | #465 | — | 4 | 2 | no | — |
| 464 | #465 | — | 4 | 2 | no | — |
| 465 | #465 | — | 4 | 2 | no | — |
| 466 | #465 | — | 8 | 1 | no | — |
| 467 | #446 | — | 4 | 2 | no | — |
| 468 | #446 | — | 4 | 2 | no | — |
| 469 | #446 | — | 8 | 1 | no | — |
| 470 | #446 | — | 8 | 1 | no | — |
| 471 | C8×Q8 | — | 4 | 2 | no | — |
| 472 | C8×Q8 | — | 4 | 2 | no | — |
| 473 | C8×Q8 | — | 8 | 1 | no | — |
| 474 | C8×Q8 | — | 8 | 1 | no | — |
| 475 | #443 | — | 4 | 1 | no | — |
| 476 | #443 | — | 4 | 1 | no | — |
| 477 | #443 | — | 4 | 1 | no | — |
| 478 | #443 | — | 4 | 1 | no | — |
| 479 | C4×Q16 | — | 2 | 2 | no | — |
| 480 | C4×Q16 | — | 2 | 2 | no | — |
| 481 | C4×Q16 | — | 4 | 1 | no | — |
| 482 | C4×Q16 | — | 4 | 1 | no | — |
| 483 | C4×SD16 | — | 4 | 2 | no | — |
| 484 | C4×SD16 | — | 4 | 2 | no | — |
| 485 | C4×SD16 | — | 4 | 2 | no | — |
| 486 | C4×SD16 | — | 4 | 2 | no | — |
| 487 | C4×D8 | — | 2 | 2 | no | — |
| 488 | C4×D8 | — | 2 | 2 | no | — |
| 489 | C4×D8 | — | 4 | 1 | no | — |
| 490 | C4×D8 | — | 4 | 1 | no | — |
| 491 | #436 | — | 4 | 2 | no | — |
| 492 | #436 | — | 4 | 2 | no | — |
| 493 | #436 | — | 8 | 1 | no | — |
| 494 | #436 | — | 8 | 1 | no | — |
| 495 | #435 | — | 8 | 2 | no | — |
| 496 | #435 | — | 8 | 2 | no | — |
| 497 | #435 | — | 8 | 2 | no | — |
| 498 | #435 | — | 8 | 2 | no | — |
| 499 | #435 | — | 16 | 1 | no | — |
| 500 | C8×D4 | — | 4 | 2 | no | — |
| 501 | C8×D4 | — | 4 | 2 | no | — |
| 502 | C8×D4 | — | 8 | 1 | no | — |
| 503 | C8×D4 | — | 8 | 1 | no | — |
| 504 | C8×D4 | — | 8 | 2 | no | — |
| 505 | C8×D4 | — | 8 | 2 | no | — |
| 506 | C8×D4 | — | 8 | 2 | no | — |
| 507 | C8×D4 | — | 8 | 2 | no | — |
| 508 | C8×D4 | — | 16 | 1 | no | — |
| 509 | #433 | — | 8 | 2 | no | — |
| 510 | #433 | — | 8 | 2 | no | — |
| 511 | #433 | — | 8 | 2 | no | — |
| 512 | #433 | — | 8 | 2 | no | — |
| 513 | #432 | — | 4 | 2 | no | — |
| 514 | #432 | — | 4 | 2 | no | — |
| 515 | #432 | — | 8 | 1 | no | — |
| 516 | #432 | — | 8 | 1 | no | — |
| 517 | C2×#108 | — | 2 | 1 | no | — |
| 518 | C2×#108 | — | 2 | 1 | no | — |
| 519 | #427 | — | 2 | 1 | no | — |
| 520 | C2×#107 | — | 2 | 1 | no | — |
| 521 | C2×#107 | — | 2 | 1 | no | — |
| 522 | C2×#106 | — | 4 | 1 | no | — |
| 523 | #424 | — | 4 | 1 | no | — |
| 524 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 525 | C2×C4⋊C8 | — | 4 | 1 | no | — |
| 526 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 527 | C2×C4⋊C8 | — | 8 | 1 | no | — |
| 528 | C2×#104 | — | 4 | 1 | no | — |
| 529 | C2×#104 | — | 4 | 1 | no | — |
| 530 | #416 | — | 4 | 1 | no | — |
| 531 | C2×#103 | — | 4 | 1 | no | — |
| 532 | C2×#103 | — | 4 | 1 | no | — |
| 533 | C2×#102 | — | 4 | 1 | no | — |
| 534 | C2×#102 | — | 4 | 1 | no | — |
| 535 | #408 | — | 4 | 1 | no | — |
| 536 | #407 | — | 4 | 1 | no | — |
| 537 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 538 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 539 | C2×C22⋊C8 | — | 8 | 1 | no | — |
| 540 | #405 | — | 4 | 1 | no | — |
| 541 | #405 | — | 8 | 2 | no | — |
| 542 | #405 | — | 8 | 2 | no | — |
| 543 | #405 | — | 8 | 2 | no | — |
| 544 | #405 | — | 8 | 2 | no | — |
| 545 | C2×#97 | — | 8 | 1 | no | — |
| 546 | C2×#97 | — | 8 | 1 | no | — |
| 547 | C2×C4×C8 | — | 2 | 1 | no | — |
| 548 | C2×C4×C8 | — | 2 | 1 | no | — |
| 549 | C2×C4×C8 | — | 2 | 1 | no | — |
| 550 | C2×C4×C8 | — | 2 | 1 | no | — |
| 551 | C2×C4×C8 | — | 2 | 1 | no | — |
| 552 | C2×C4×C8 | — | 2 | 1 | no | — |
| 553 | C2×C4×C8 | — | 2 | 1 | no | — |
| 554 | C2×C4×C8 | — | 2 | 1 | no | — |
| 555 | C2×C4×C8 | — | 2 | 1 | no | — |
| 556 | C2×C4×C8 | — | 2 | 1 | no | — |
| 557 | C2×C4×C8 | — | 4 | 1 | no | — |
| 558 | C2×C4×C8 | — | 4 | 1 | no | — |
| 559 | C2×C4×C8 | — | 4 | 1 | no | — |
| 560 | C2×C4×C8 | — | 8 | 1 | no | — |
| 561 | C2×C4×C8 | C4×D4 | 1 | 1 | yes | characteristic |
| 562 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 563 | C2×C4×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 564 | C2×C4×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 565 | Q64 | — | 4 | 2 | no | — |
| 566 | SD64 | — | 4 | 2 | no | — |
| 567 | SD64 | — | 4 | 2 | no | — |
| 568 | D32 | — | 4 | 2 | no | — |
| 569 | M64 | — | 2 | 2 | no | — |
| 570 | M64 | — | 2 | 2 | no | — |
| 571 | M64 | — | 4 | 2 | no | — |
| 572 | #368 | — | 2 | 2 | no | — |
| 573 | #367 | — | 2 | 1 | no | — |
| 574 | #367 | — | 2 | 1 | no | — |
| 575 | #367 | C4×D4 | 1 | 2 | yes | — |
| 576 | #367 | C4×D4 | 1 | 2 | yes | — |
| 577 | #366 | — | 2 | 2 | no | — |
| 578 | #366 | — | 2 | 2 | no | — |
| 579 | #365 | — | 8 | 1 | no | — |
| 580 | #364 | — | 4 | 1 | no | — |
| 581 | #364 | — | 4 | 1 | no | — |
| 582 | #364 | — | 4 | 1 | no | — |
| 583 | #364 | — | 4 | 1 | no | — |
| 584 | #364 | — | 16 | 1 | no | — |
| 585 | C4⋊C16 | — | 2 | 2 | no | — |
| 586 | C4⋊C16 | — | 2 | 2 | no | — |
| 587 | C4⋊C16 | — | 4 | 2 | no | — |
| 588 | #362 | — | 4 | 1 | no | — |
| 589 | #361 | — | 4 | 1 | no | — |
| 590 | #360 | — | 8 | 1 | no | — |
| 591 | #359 | — | 4 | 2 | no | — |
| 592 | #358 | — | 2 | 2 | no | — |
| 593 | #358 | — | 2 | 2 | no | — |
| 594 | #358 | — | 2 | 2 | no | — |
| 595 | #358 | — | 2 | 2 | no | — |
| 596 | #357 | — | 2 | 2 | no | — |
| 597 | #357 | — | 2 | 2 | no | — |
| 598 | #357 | — | 2 | 2 | no | — |
| 599 | #357 | — | 2 | 2 | no | — |
| 600 | #350 | — | 8 | 2 | no | — |
| 601 | #350 | — | 16 | 1 | no | — |
| 602 | #349 | — | 16 | 1 | no | — |
| 603 | C22⋊C16 | — | 2 | 2 | no | — |
| 604 | C22⋊C16 | — | 2 | 2 | no | — |
| 605 | C22⋊C16 | — | 4 | 2 | no | — |
| 606 | C22⋊C16 | — | 16 | 1 | no | — |
| 607 | #347 | — | 16 | 1 | no | — |
| 608 | #346 | — | 2 | 1 | no | — |
| 609 | #346 | — | 2 | 1 | no | — |
| 610 | #346 | #120 | 1 | 2 | yes | — |
| 611 | #346 | C22×D4 | 1 | 2 | yes | — |
| 612 | C4×C16 | — | 2 | 1 | no | — |
| 613 | C4×C16 | — | 2 | 1 | no | — |
| 614 | C4×C16 | — | 2 | 1 | no | — |
| 615 | C4×C16 | C2×#41 | 1 | 2 | yes | — |
| 616 | #341 | — | 4 | 1 | no | — |
| 617 | #339 | — | 4 | 1 | no | — |
| 618 | #339 | — | 4 | 1 | no | — |
| 619 | #335 | — | 4 | 2 | no | — |
| 620 | #335 | — | 4 | 2 | no | — |
| 621 | #334 | — | 2 | 2 | no | — |
| 622 | #334 | — | 2 | 2 | no | — |
| 623 | #334 | — | 4 | 1 | no | — |
| 624 | #334 | — | 4 | 1 | no | — |
| 625 | Q8⋊C8 | — | 4 | 2 | no | — |
| 626 | Q8⋊C8 | — | 4 | 2 | no | — |
| 627 | Q8⋊C8 | — | 4 | 2 | no | — |
| 628 | Q8⋊C8 | — | 4 | 2 | no | — |
| 629 | D4⋊C8 | — | 4 | 2 | no | — |
| 630 | D4⋊C8 | — | 4 | 2 | no | — |
| 631 | D4⋊C8 | — | 4 | 2 | no | — |
| 632 | D4⋊C8 | — | 4 | 2 | no | — |
| 633 | #322 | — | 2 | 1 | no | — |
| 634 | #322 | — | 2 | 1 | no | — |
| 635 | #322 | — | 2 | 1 | no | — |
| 636 | #322 | — | 2 | 1 | no | — |
| 637 | #322 | — | 2 | 1 | no | — |
| 638 | #322 | — | 2 | 1 | no | — |
| 639 | #322 | #120 | 1 | 1 | yes | characteristic |
| 640 | #322 | #120 | 1 | 1 | yes | characteristic |
| 641 | #322 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 642 | #322 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 643 | C2×#41 | — | 4 | 1 | no | — |
| 644 | C22×Q8 | — | 4 | 1 | no | — |
| 645 | C22×D4 | — | 4 | 1 | no | — |
| 646 | C22×D4 | — | 8 | 1 | no | — |
| 647 | C23×C4 | — | 2 | 1 | no | — |
| 648 | C23×C4 | — | 8 | 1 | no | — |
| 649 | C23×C4 | #442 | 1 | 1 | yes | characteristic |
| 650 | #135 | — | 4 | 1 | no | — |
| 651 | #135 | — | 4 | 1 | no | — |
| 652 | #135 | — | 4 | 1 | no | — |
| 653 | #135 | — | 4 | 1 | no | — |
| 654 | C2×Q16 | — | 2 | 1 | no | — |
| 655 | C2×Q16 | — | 2 | 2 | no | — |
| 656 | C2×Q16 | — | 4 | 1 | no | — |
| 657 | C2×Q16 | — | 8 | 1 | no | — |
| 658 | C2×Q16 | — | 8 | 1 | no | — |
| 659 | C2×SD16 | — | 4 | 2 | no | — |
| 660 | C2×SD16 | — | 4 | 1 | no | — |
| 661 | C2×SD16 | — | 4 | 2 | no | — |
| 662 | C2×SD16 | — | 8 | 2 | no | — |
| 663 | C2×SD16 | — | 8 | 2 | no | — |
| 664 | C2×D8 | — | 2 | 1 | no | — |
| 665 | C2×D8 | — | 2 | 2 | no | — |
| 666 | C2×D8 | — | 4 | 1 | no | — |
| 667 | C2×D8 | — | 8 | 1 | no | — |
| 668 | C2×D8 | — | 8 | 1 | no | — |
| 669 | #131 | — | 8 | 1 | no | — |
| 670 | #131 | — | 8 | 1 | no | — |
| 671 | #131 | — | 8 | 1 | no | — |
| 672 | #131 | — | 8 | 1 | no | — |
| 673 | C2×M16 | — | 4 | 1 | no | — |
| 674 | C2×M16 | — | 4 | 1 | no | — |
| 675 | C2×M16 | — | 8 | 1 | no | — |
| 676 | C2×M16 | — | 8 | 2 | no | — |
| 677 | C2×M16 | — | 8 | 2 | no | — |
| 678 | C2×M16 | — | 16 | 4 | no | — |
| 679 | C22×C8 | — | 2 | 1 | no | — |
| 680 | C22×C8 | — | 2 | 1 | no | — |
| 681 | C22×C8 | — | 2 | 1 | no | — |
| 682 | C22×C8 | — | 2 | 1 | no | — |
| 683 | C22×C8 | — | 4 | 1 | no | — |
| 684 | C22×C8 | — | 4 | 1 | no | — |
| 685 | C22×C8 | — | 4 | 1 | no | — |
| 686 | C22×C8 | — | 4 | 1 | no | — |
| 687 | C22×C8 | — | 4 | 1 | no | — |
| 688 | C22×C8 | — | 4 | 1 | no | — |
| 689 | C22×C8 | — | 4 | 1 | no | — |
| 690 | C22×C8 | — | 4 | 1 | no | — |
| 691 | C22×C8 | — | 4 | 1 | no | — |
| 692 | C22×C8 | — | 4 | 1 | no | — |
| 693 | C22×C8 | — | 8 | 1 | no | — |
| 694 | C22×C8 | — | 8 | 2 | no | — |
| 695 | C22×C8 | — | 8 | 2 | no | — |
| 696 | C22×C8 | — | 8 | 1 | no | — |
| 697 | C22×C8 | — | 8 | 1 | no | — |
| 698 | C22×C8 | — | 16 | 2 | no | — |
| 699 | C22×C8 | — | 16 | 4 | no | — |
| 700 | C22×C8 | #442 | 1 | 1 | yes | characteristic |
| 701 | C22×C8 | #442 | 1 | 1 | yes | characteristic |
| 702 | C22×C8 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 703 | C22×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 704 | #126 | — | 8 | 2 | no | — |
| 705 | #126 | — | 8 | 2 | no | — |
| 706 | #126 | — | 8 | 2 | no | — |
| 707 | #126 | — | 8 | 2 | no | — |
| 708 | #125 | — | 4 | 2 | no | — |
| 709 | #125 | — | 4 | 2 | no | — |
| 710 | #125 | — | 8 | 1 | no | — |
| 711 | #125 | — | 8 | 1 | no | — |
| 712 | #124 | — | 4 | 2 | no | — |
| 713 | #124 | — | 4 | 2 | no | — |
| 714 | #124 | — | 8 | 1 | no | — |
| 715 | #124 | — | 8 | 1 | no | — |
| 716 | #123 | — | 8 | 2 | no | — |
| 717 | #123 | — | 8 | 2 | no | — |
| 718 | #123 | — | 8 | 2 | no | — |
| 719 | #123 | — | 8 | 2 | no | — |
| 720 | #123 | — | 8 | 1 | no | — |
| 721 | C22⋊Q8 | — | 4 | 2 | no | — |
| 722 | C22⋊Q8 | — | 4 | 2 | no | — |
| 723 | C22⋊Q8 | — | 8 | 1 | no | — |
| 724 | C22⋊Q8 | — | 8 | 1 | no | — |
| 725 | C22⋊Q8 | — | 8 | 1 | no | — |
| 726 | #121 | — | 4 | 2 | no | — |
| 727 | #121 | — | 4 | 2 | no | — |
| 728 | #121 | — | 8 | 1 | no | — |
| 729 | #121 | — | 8 | 1 | no | — |
| 730 | #121 | — | 8 | 1 | no | — |
| 731 | #120 | — | 8 | 1 | no | — |
| 732 | C4×Q8 | — | 4 | 2 | no | — |
| 733 | C4×Q8 | — | 4 | 2 | no | — |
| 734 | C4×Q8 | — | 8 | 1 | no | — |
| 735 | C4×Q8 | — | 8 | 1 | no | — |
| 736 | C4×D4 | — | 4 | 2 | no | — |
| 737 | C4×D4 | — | 4 | 2 | no | — |
| 738 | C4×D4 | — | 8 | 1 | no | — |
| 739 | C4×D4 | — | 8 | 1 | no | — |
| 740 | C4×D4 | — | 8 | 2 | no | — |
| 741 | C4×D4 | — | 8 | 2 | no | — |
| 742 | C4×D4 | — | 8 | 2 | no | — |
| 743 | C4×D4 | — | 8 | 2 | no | — |
| 744 | C4×D4 | — | 16 | 1 | no | — |
| 745 | #117 | — | 4 | 1 | no | — |
| 746 | #117 | — | 8 | 2 | no | — |
| 747 | #117 | — | 8 | 2 | no | — |
| 748 | #117 | — | 8 | 2 | no | — |
| 749 | #117 | — | 8 | 2 | no | — |
| 750 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 751 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 752 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 753 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 754 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 755 | C2×C4⋊C4 | — | 8 | 1 | no | — |
| 756 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 757 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 758 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 759 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 760 | C2×C22⋊C4 | — | 8 | 1 | no | — |
| 761 | C2×C42 | — | 2 | 1 | no | — |
| 762 | C2×C42 | — | 2 | 1 | no | — |
| 763 | C2×C42 | — | 2 | 1 | no | — |
| 764 | C2×C42 | — | 2 | 1 | no | — |
| 765 | C2×C42 | — | 2 | 1 | no | — |
| 766 | C2×C42 | — | 8 | 1 | no | — |
| 767 | C2×C42 | #442 | 1 | 1 | yes | characteristic |
| 768 | C2×C42 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 769 | Q32 | — | 2 | 2 | no | — |
| 770 | Q32 | — | 4 | 2 | no | — |
| 771 | Q32 | — | 8 | 1 | no | — |
| 772 | SD32 | — | 4 | 2 | no | — |
| 773 | SD32 | — | 8 | 2 | no | — |
| 774 | SD32 | — | 8 | 2 | no | — |
| 775 | D16 | — | 2 | 2 | no | — |
| 776 | D16 | — | 4 | 2 | no | — |
| 777 | D16 | — | 8 | 1 | no | — |
| 778 | M32 | — | 4 | 1 | no | — |
| 779 | M32 | — | 4 | 1 | no | — |
| 780 | M32 | — | 4 | 1 | no | — |
| 781 | M32 | — | 4 | 1 | no | — |
| 782 | M32 | — | 4 | 1 | no | — |
| 783 | M32 | — | 4 | 1 | no | — |
| 784 | M32 | — | 4 | 1 | no | — |
| 785 | M32 | — | 4 | 1 | no | — |
| 786 | M32 | — | 8 | 1 | no | — |
| 787 | M32 | — | 8 | 1 | no | — |
| 788 | M32 | — | 8 | 1 | no | — |
| 789 | M32 | — | 8 | 1 | no | — |
| 790 | M32 | — | 16 | 2 | no | — |
| 791 | C2×C16 | — | 2 | 2 | no | — |
| 792 | C2×C16 | — | 2 | 1 | no | — |
| 793 | C2×C16 | — | 2 | 1 | no | — |
| 794 | C2×C16 | — | 4 | 1 | no | — |
| 795 | C2×C16 | — | 8 | 1 | no | — |
| 796 | C2×C16 | — | 8 | 1 | no | — |
| 797 | C2×C16 | — | 16 | 2 | no | — |
| 798 | C2×C16 | C2×C4×D4 | 1 | 2 | yes | — |
| 799 | C2×C16 | #525 | 1 | 2 | yes | — |
| 800 | #108 | — | 4 | 1 | no | — |
| 801 | #108 | — | 4 | 1 | no | — |
| 802 | #108 | — | 4 | 1 | no | — |
| 803 | #108 | — | 4 | 1 | no | — |
| 804 | #107 | — | 2 | 2 | no | — |
| 805 | #107 | — | 2 | 2 | no | — |
| 806 | #107 | — | 4 | 1 | no | — |
| 807 | #107 | — | 4 | 1 | no | — |
| 808 | #107 | — | 4 | 1 | no | — |
| 809 | #106 | — | 4 | 2 | no | — |
| 810 | #106 | — | 4 | 2 | no | — |
| 811 | #106 | — | 4 | 1 | no | — |
| 812 | C4⋊C8 | — | 4 | 2 | no | — |
| 813 | C4⋊C8 | — | 4 | 2 | no | — |
| 814 | C4⋊C8 | — | 8 | 1 | no | — |
| 815 | C4⋊C8 | — | 8 | 1 | no | — |
| 816 | C4⋊C8 | — | 8 | 2 | no | — |
| 817 | C4⋊C8 | — | 8 | 2 | no | — |
| 818 | C4⋊C8 | — | 8 | 2 | no | — |
| 819 | C4⋊C8 | — | 8 | 2 | no | — |
| 820 | C4⋊C8 | — | 16 | 1 | no | — |
| 821 | #104 | — | 8 | 1 | no | — |
| 822 | #104 | — | 8 | 1 | no | — |
| 823 | #104 | — | 8 | 1 | no | — |
| 824 | #104 | — | 8 | 1 | no | — |
| 825 | #103 | — | 4 | 2 | no | — |
| 826 | #103 | — | 4 | 2 | no | — |
| 827 | #103 | — | 4 | 2 | no | — |
| 828 | #103 | — | 4 | 2 | no | — |
| 829 | #103 | — | 8 | 1 | no | — |
| 830 | #102 | — | 4 | 2 | no | — |
| 831 | #102 | — | 4 | 2 | no | — |
| 832 | #102 | — | 4 | 2 | no | — |
| 833 | #102 | — | 4 | 2 | no | — |
| 834 | #102 | — | 8 | 1 | no | — |
| 835 | C22⋊C8 | — | 8 | 2 | no | — |
| 836 | C22⋊C8 | — | 8 | 2 | no | — |
| 837 | C22⋊C8 | — | 8 | 2 | no | — |
| 838 | C22⋊C8 | — | 8 | 2 | no | — |
| 839 | C22⋊C8 | — | 8 | 2 | no | — |
| 840 | C22⋊C8 | — | 8 | 2 | no | — |
| 841 | C22⋊C8 | — | 16 | 1 | no | — |
| 842 | C22⋊C8 | — | 16 | 1 | no | — |
| 843 | #97 | — | 8 | 2 | no | — |
| 844 | #97 | — | 8 | 2 | no | — |
| 845 | #97 | — | 8 | 1 | no | — |
| 846 | #97 | — | 8 | 2 | no | — |
| 847 | #97 | — | 8 | 2 | no | — |
| 848 | C4×C8 | — | 2 | 1 | no | — |
| 849 | C4×C8 | — | 2 | 1 | no | — |
| 850 | C4×C8 | — | 2 | 1 | no | — |
| 851 | C4×C8 | — | 2 | 1 | no | — |
| 852 | C4×C8 | — | 2 | 1 | no | — |
| 853 | C4×C8 | — | 2 | 1 | no | — |
| 854 | C4×C8 | — | 2 | 1 | no | — |
| 855 | C4×C8 | — | 2 | 1 | no | — |
| 856 | C4×C8 | — | 2 | 1 | no | — |
| 857 | C4×C8 | — | 2 | 1 | no | — |
| 858 | C4×C8 | — | 4 | 1 | no | — |
| 859 | C4×C8 | — | 4 | 1 | no | — |
| 860 | C4×C8 | — | 4 | 1 | no | — |
| 861 | C4×C8 | — | 4 | 1 | no | — |
| 862 | C4×C8 | — | 4 | 1 | no | — |
| 863 | C4×C8 | — | 4 | 1 | no | — |
| 864 | C4×C8 | — | 8 | 1 | no | — |
| 865 | C4×C8 | — | 8 | 2 | no | — |
| 866 | C4×C8 | — | 8 | 2 | no | — |
| 867 | C4×C8 | C2×#120 | 1 | 1 | yes | characteristic |
| 868 | C4×C8 | #525 | 1 | 1 | yes | characteristic |
| 869 | C4×C8 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 870 | C4×C8 | #575 | 1 | 1 | yes | characteristic |
| 871 | C32 | — | 4 | 2 | no | — |
| 872 | C32 | — | 4 | 2 | no | — |
| 873 | C32 | — | 8 | 2 | no | — |
| 874 | C24 | — | 8 | 1 | no | — |
| 875 | C24 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 876 | #41 | — | 8 | 1 | no | — |
| 877 | #41 | — | 8 | 1 | no | — |
| 878 | #41 | — | 8 | 1 | no | — |
| 879 | #41 | — | 8 | 1 | no | — |
| 880 | C2×Q8 | — | 4 | 1 | no | — |
| 881 | C2×Q8 | — | 4 | 2 | no | — |
| 882 | C2×Q8 | — | 8 | 1 | no | — |
| 883 | C2×Q8 | — | 8 | 2 | no | — |
| 884 | C2×Q8 | — | 8 | 2 | no | — |
| 885 | C2×D4 | — | 4 | 1 | no | — |
| 886 | C2×D4 | — | 4 | 2 | no | — |
| 887 | C2×D4 | — | 8 | 1 | no | — |
| 888 | C2×D4 | — | 8 | 2 | no | — |
| 889 | C2×D4 | — | 8 | 2 | no | — |
| 890 | C2×D4 | — | 8 | 2 | no | — |
| 891 | C2×D4 | — | 8 | 2 | no | — |
| 892 | C2×D4 | — | 8 | 1 | no | — |
| 893 | C2×D4 | — | 16 | 4 | no | — |
| 894 | C2×D4 | — | 16 | 1 | no | — |
| 895 | C22×C4 | — | 2 | 1 | no | — |
| 896 | C22×C4 | — | 2 | 1 | no | — |
| 897 | C22×C4 | — | 2 | 1 | no | — |
| 898 | C22×C4 | — | 2 | 1 | no | — |
| 899 | C22×C4 | — | 2 | 1 | no | — |
| 900 | C22×C4 | — | 2 | 1 | no | — |
| 901 | C22×C4 | — | 2 | 1 | no | — |
| 902 | C22×C4 | — | 2 | 1 | no | — |
| 903 | C22×C4 | — | 4 | 1 | no | — |
| 904 | C22×C4 | — | 4 | 1 | no | — |
| 905 | C22×C4 | — | 8 | 2 | no | — |
| 906 | C22×C4 | — | 8 | 1 | no | — |
| 907 | C22×C4 | — | 8 | 2 | no | — |
| 908 | C22×C4 | — | 8 | 2 | no | — |
| 909 | C22×C4 | — | 8 | 1 | no | — |
| 910 | C22×C4 | — | 8 | 1 | no | — |
| 911 | C22×C4 | — | 8 | 1 | no | — |
| 912 | C22×C4 | — | 16 | 2 | no | — |
| 913 | C22×C4 | — | 16 | 2 | no | — |
| 914 | C22×C4 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 915 | C22×C4 | C2×#442 | 1 | 1 | yes | characteristic |
| 916 | Q16 | — | 4 | 1 | no | — |
| 917 | Q16 | — | 4 | 2 | no | — |
| 918 | Q16 | — | 4 | 1 | no | — |
| 919 | Q16 | — | 4 | 2 | no | — |
| 920 | Q16 | — | 8 | 2 | no | — |
| 921 | SD16 | — | 8 | 1 | no | — |
| 922 | SD16 | — | 8 | 4 | no | — |
| 923 | SD16 | — | 8 | 2 | no | — |
| 924 | SD16 | — | 8 | 2 | no | — |
| 925 | SD16 | — | 8 | 1 | no | — |
| 926 | D8 | — | 4 | 1 | no | — |
| 927 | D8 | — | 4 | 2 | no | — |
| 928 | D8 | — | 4 | 1 | no | — |
| 929 | D8 | — | 4 | 2 | no | — |
| 930 | D8 | — | 8 | 2 | no | — |
| 931 | M16 | — | 8 | 1 | no | — |
| 932 | M16 | — | 8 | 1 | no | — |
| 933 | M16 | — | 8 | 1 | no | — |
| 934 | M16 | — | 8 | 1 | no | — |
| 935 | M16 | — | 16 | 1 | no | — |
| 936 | M16 | — | 16 | 4 | no | — |
| 937 | M16 | — | 16 | 4 | no | — |
| 938 | M16 | — | 16 | 1 | no | — |
| 939 | C2×C8 | — | 2 | 1 | no | — |
| 940 | C2×C8 | — | 2 | 1 | no | — |
| 941 | C2×C8 | — | 2 | 1 | no | — |
| 942 | C2×C8 | — | 2 | 1 | no | — |
| 943 | C2×C8 | — | 2 | 1 | no | — |
| 944 | C2×C8 | — | 2 | 1 | no | — |
| 945 | C2×C8 | — | 4 | 1 | no | — |
| 946 | C2×C8 | — | 4 | 1 | no | — |
| 947 | C2×C8 | — | 4 | 1 | no | — |
| 948 | C2×C8 | — | 4 | 1 | no | — |
| 949 | C2×C8 | — | 4 | 1 | no | — |
| 950 | C2×C8 | — | 4 | 1 | no | — |
| 951 | C2×C8 | — | 4 | 1 | no | — |
| 952 | C2×C8 | — | 4 | 1 | no | — |
| 953 | C2×C8 | — | 4 | 1 | no | — |
| 954 | C2×C8 | — | 4 | 1 | no | — |
| 955 | C2×C8 | — | 8 | 1 | no | — |
| 956 | C2×C8 | — | 8 | 1 | no | — |
| 957 | C2×C8 | — | 8 | 2 | no | — |
| 958 | C2×C8 | — | 8 | 2 | no | — |
| 959 | C2×C8 | — | 8 | 2 | no | — |
| 960 | C2×C8 | — | 8 | 1 | no | — |
| 961 | C2×C8 | — | 8 | 2 | no | — |
| 962 | C2×C8 | — | 8 | 1 | no | — |
| 963 | C2×C8 | — | 16 | 1 | no | — |
| 964 | C2×C8 | — | 16 | 1 | no | — |
| 965 | C2×C8 | — | 16 | 1 | no | — |
| 966 | C2×C8 | — | 16 | 1 | no | — |
| 967 | C2×C8 | — | 16 | 1 | no | — |
| 968 | C2×C8 | — | 16 | 4 | no | — |
| 969 | C2×C8 | — | 16 | 4 | no | — |
| 970 | C2×C8 | — | 16 | 2 | no | — |
| 971 | C2×C8 | — | 16 | 2 | no | — |
| 972 | C2×C8 | — | 16 | 1 | no | — |
| 973 | C2×C8 | C4×#120 | 1 | 1 | yes | characteristic |
| 974 | C2×C8 | C4×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 975 | C2×C8 | #3006 | 1 | 1 | yes | characteristic |
| 976 | C2×C8 | #3109 | 1 | 1 | yes | characteristic |
| 977 | C4⋊C4 | — | 4 | 2 | no | — |
| 978 | C4⋊C4 | — | 4 | 2 | no | — |
| 979 | C4⋊C4 | — | 8 | 1 | no | — |
| 980 | C4⋊C4 | — | 8 | 1 | no | — |
| 981 | C4⋊C4 | — | 8 | 2 | no | — |
| 982 | C4⋊C4 | — | 8 | 2 | no | — |
| 983 | C4⋊C4 | — | 8 | 2 | no | — |
| 984 | C4⋊C4 | — | 8 | 2 | no | — |
| 985 | C4⋊C4 | — | 8 | 2 | no | — |
| 986 | C4⋊C4 | — | 8 | 2 | no | — |
| 987 | C4⋊C4 | — | 8 | 2 | no | — |
| 988 | C4⋊C4 | — | 8 | 1 | no | — |
| 989 | C4⋊C4 | — | 8 | 2 | no | — |
| 990 | C4⋊C4 | — | 16 | 1 | no | — |
| 991 | C22⋊C4 | — | 8 | 2 | no | — |
| 992 | C22⋊C4 | — | 8 | 2 | no | — |
| 993 | C22⋊C4 | — | 8 | 2 | no | — |
| 994 | C22⋊C4 | — | 8 | 2 | no | — |
| 995 | C22⋊C4 | — | 8 | 2 | no | — |
| 996 | C22⋊C4 | — | 8 | 2 | no | — |
| 997 | C22⋊C4 | — | 8 | 2 | no | — |
| 998 | C22⋊C4 | — | 8 | 2 | no | — |
| 999 | C22⋊C4 | — | 8 | 2 | no | — |
| 1000 | C22⋊C4 | — | 8 | 2 | no | — |
| 1001 | C22⋊C4 | — | 8 | 1 | no | — |
| 1002 | C22⋊C4 | — | 16 | 1 | no | — |
| 1003 | C22⋊C4 | — | 16 | 1 | no | — |
| 1004 | C42 | — | 2 | 1 | no | — |
| 1005 | C42 | — | 2 | 1 | no | — |
| 1006 | C42 | — | 2 | 1 | no | — |
| 1007 | C42 | — | 2 | 1 | no | — |
| 1008 | C42 | — | 2 | 1 | no | — |
| 1009 | C42 | — | 2 | 1 | no | — |
| 1010 | C42 | — | 8 | 2 | no | — |
| 1011 | C42 | — | 8 | 2 | no | — |
| 1012 | C42 | — | 8 | 1 | no | — |
| 1013 | C42 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1014 | C42 | AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1015 | C42 | #3003 | 1 | 1 | yes | characteristic |
| 1016 | C42 | #3114 | 1 | 1 | yes | characteristic |
| 1017 | C16 | — | 2 | 2 | no | — |
| 1018 | C16 | — | 2 | 2 | no | — |
| 1019 | C16 | — | 4 | 2 | no | — |
| 1020 | C16 | — | 4 | 1 | no | — |
| 1021 | C16 | — | 4 | 1 | no | — |
| 1022 | C16 | — | 8 | 1 | no | — |
| 1023 | C16 | — | 16 | 1 | no | — |
| 1024 | C16 | — | 16 | 1 | no | — |
| 1025 | C23 | — | 2 | 1 | no | — |
| 1026 | C23 | — | 4 | 1 | no | — |
| 1027 | C23 | — | 4 | 2 | no | — |
| 1028 | C23 | — | 8 | 1 | no | — |
| 1029 | C23 | — | 8 | 2 | no | — |
| 1030 | C23 | — | 16 | 2 | no | — |
| 1031 | C23 | — | 16 | 2 | no | — |
| 1032 | C23 | — | 16 | 2 | no | — |
| 1033 | C23 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1034 | Q8 | — | 8 | 1 | no | — |
| 1035 | Q8 | — | 8 | 2 | no | — |
| 1036 | Q8 | — | 8 | 1 | no | — |
| 1037 | Q8 | — | 8 | 2 | no | — |
| 1038 | Q8 | — | 16 | 2 | no | — |
| 1039 | D4 | — | 8 | 1 | no | — |
| 1040 | D4 | — | 8 | 2 | no | — |
| 1041 | D4 | — | 8 | 2 | no | — |
| 1042 | D4 | — | 8 | 1 | no | — |
| 1043 | D4 | — | 16 | 2 | no | — |
| 1044 | D4 | — | 16 | 4 | no | — |
| 1045 | D4 | — | 16 | 1 | no | — |
| 1046 | D4 | — | 16 | 4 | no | — |
| 1047 | D4 | — | 16 | 1 | no | — |
| 1048 | D4 | — | 32 | 2 | no | — |
| 1049 | C2×C4 | — | 2 | 1 | no | — |
| 1050 | C2×C4 | — | 2 | 1 | no | — |
| 1051 | C2×C4 | — | 2 | 1 | no | — |
| 1052 | C2×C4 | — | 2 | 1 | no | — |
| 1053 | C2×C4 | — | 2 | 1 | no | — |
| 1054 | C2×C4 | — | 2 | 1 | no | — |
| 1055 | C2×C4 | — | 2 | 1 | no | — |
| 1056 | C2×C4 | — | 4 | 2 | no | — |
| 1057 | C2×C4 | — | 4 | 2 | no | — |
| 1058 | C2×C4 | — | 4 | 1 | no | — |
| 1059 | C2×C4 | — | 4 | 1 | no | — |
| 1060 | C2×C4 | — | 4 | 1 | no | — |
| 1061 | C2×C4 | — | 8 | 1 | no | — |
| 1062 | C2×C4 | — | 8 | 1 | no | — |
| 1063 | C2×C4 | — | 8 | 1 | no | — |
| 1064 | C2×C4 | — | 8 | 1 | no | — |
| 1065 | C2×C4 | — | 8 | 1 | no | — |
| 1066 | C2×C4 | — | 8 | 1 | no | — |
| 1067 | C2×C4 | — | 8 | 2 | no | — |
| 1068 | C2×C4 | — | 8 | 2 | no | — |
| 1069 | C2×C4 | — | 8 | 2 | no | — |
| 1070 | C2×C4 | — | 16 | 1 | no | — |
| 1071 | C2×C4 | — | 16 | 2 | no | — |
| 1072 | C2×C4 | — | 16 | 2 | no | — |
| 1073 | C2×C4 | — | 16 | 4 | no | — |
| 1074 | C2×C4 | — | 16 | 2 | no | — |
| 1075 | C2×C4 | — | 16 | 2 | no | — |
| 1076 | C2×C4 | — | 16 | 2 | no | — |
| 1077 | C2×C4 | — | 16 | 1 | no | — |
| 1078 | C2×C4 | — | 16 | 1 | no | — |
| 1079 | C2×C4 | #21452 | 1 | 1 | yes | characteristic |
| 1080 | C2×C4 | C2×AGL(1,ℤ/16) | 1 | 1 | yes | characteristic |
| 1081 | C8 | — | 2 | 1 | no | — |
| 1082 | C8 | — | 2 | 1 | no | — |
| 1083 | C8 | — | 4 | 1 | no | — |
| 1084 | C8 | — | 4 | 1 | no | — |
| 1085 | C8 | — | 8 | 1 | no | — |
| 1086 | C8 | — | 8 | 1 | no | — |
| 1087 | C8 | — | 8 | 1 | no | — |
| 1088 | C8 | — | 8 | 1 | no | — |
| 1089 | C8 | — | 16 | 1 | no | — |
| 1090 | C8 | — | 16 | 2 | no | — |
| 1091 | C8 | — | 16 | 2 | no | — |
| 1092 | C8 | — | 16 | 1 | no | — |
| 1093 | C8 | #21478 | 1 | 1 | yes | characteristic |
| 1094 | C8 | #21483 | 1 | 1 | yes | characteristic |
| 1095 | C8 | #33691 | 1 | 1 | yes | characteristic |
| 1096 | C8 | #33692 | 1 | 1 | yes | characteristic |
| 1097 | C22 | — | 2 | 2 | no | — |
| 1098 | C22 | — | 2 | 1 | no | — |
| 1099 | C22 | — | 4 | 1 | no | — |
| 1100 | C22 | — | 4 | 1 | no | — |
| 1101 | C22 | — | 4 | 2 | no | — |
| 1102 | C22 | — | 4 | 1 | no | — |
| 1103 | C22 | — | 8 | 1 | no | — |
| 1104 | C22 | — | 16 | 2 | no | — |
| 1105 | C22 | — | 16 | 2 | no | — |
| 1106 | C22 | — | 16 | 1 | no | — |
| 1107 | C22 | — | 16 | 2 | no | — |
| 1108 | C22 | — | 32 | 1 | no | — |
| 1109 | C22 | — | 32 | 4 | no | — |
| 1110 | C22 | #495725 | 1 | 1 | yes | characteristic |
| 1111 | C4 | — | 2 | 1 | no | — |
| 1112 | C4 | — | 4 | 1 | no | — |
| 1113 | C4 | — | 4 | 1 | no | — |
| 1114 | C4 | — | 4 | 1 | no | — |
| 1115 | C4 | — | 4 | 1 | no | — |
| 1116 | C4 | — | 4 | 1 | no | — |
| 1117 | C4 | — | 16 | 2 | no | — |
| 1118 | C4 | — | 16 | 2 | no | — |
| 1119 | C4 | — | 16 | 1 | no | — |
| 1120 | C4 | — | 16 | 2 | no | — |
| 1121 | C4 | — | 32 | 1 | no | — |
| 1122 | C4 | #209078 | 1 | 1 | yes | characteristic |
| 1123 | C4 | #495733 | 1 | 1 | yes | characteristic |
| 1124 | C2 | — | 2 | 1 | no | — |
| 1125 | C2 | — | 4 | 1 | no | — |
| 1126 | C2 | — | 4 | 2 | no | — |
| 1127 | C2 | — | 32 | 2 | no | — |
| 1128 | C2 | — | 32 | 1 | no | — |
| 1129 | C2 | #72285149 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #72285149 |
| commutator | C2×M32 | C23×C4 |
| Frattini, cosocle | C4×M32 | C24 |
| prime radical | #151182 | C4 |
| LCS | G ▷ C2×M32 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ C2×C4×C8 ◁ #479966 ◁ G | |
| LECS | G ▷ C4×M32 ▷ C2×C8 ▷ C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72343330 | C2 | semidirect |
| 2. #72343092 | C2 | semidirect |
| 4. #72319535 | C2 | semidirect |
| 5. #72319069 | C2 | semidirect |
| 6. #72287629 | C2 | semidirect |
| 7. #72287610 | C2 | semidirect |
| 8. #72287365 | C2 | semidirect |
| 9. #72286095 | C2 | semidirect |
| 10. #72225113 | C2 | semidirect |
| 11. #72224959 | C2 | semidirect |
| 25. #483600 | C22 | semidirect |
| 39. #151060 | C22 | semidirect |
| 42. #150147 | C22 | semidirect |
| 46. #149515 | C22 | semidirect |
| 47. #140776 | C22 | semidirect |
| 48. #140362 | C22 | semidirect |
| 52. #129173 | C22 | semidirect |
| 54. #94418 | C22 | semidirect |
| 55. #94407 | C22 | semidirect |
| 56. #94121 | C22 | semidirect |
| 119. #12089 | D4 | semidirect |
| 121. #12088 | D4 | semidirect |
| 135. #12067 | D4 | semidirect |
| 137. #12066 | D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72343330 | 2 |
| #72343092 | 2 |
| #72321024 | 2 |
| #72319535 | 2 |
| #72319069 | 2 |
| #72287629 | 2 |
| #72287610 | 2 |
| #72287365 | 2 |
| #72286095 | 2 |
| #72225113 | 2 |
| #72224959 | 2 |