Finite Group DatabasebetaFinite Group DatabasebetaOrder 4096.
9477 conjugacy classes of subgroups.
The subgroup lattice has 1132 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72226957 | C2 | 1 | 4 | yes | maximal, complemented |
| 2 | #72226949 | C2 | 1 | 4 | yes | maximal, complemented |
| 3 | #72226935 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #72226926 | C22 | 1 | 8 | yes | complemented |
| 5 | #72226923 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #72226914 | C22 | 1 | 8 | yes | complemented |
| 7 | D8×#2177 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #72226899 | — | 2 | 4 | no | — |
| 9 | #72226895 | — | 2 | 4 | no | — |
| 10 | #72226892 | — | 2 | 8 | no | — |
| 11 | #72226890 | — | 2 | 4 | no | — |
| 12 | #72226877 | C22 | 1 | 8 | yes | complemented |
| 13 | D8×#357 | C22 | 1 | 8 | yes | complemented |
| 14 | #72226857 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #72226853 | C22 | 1 | 4 | yes | complemented |
| 16 | #72226848 | C22 | 1 | 4 | yes | complemented |
| 17 | #72226836 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | #72226833 | C22 | 1 | 4 | yes | complemented |
| 19 | D8×#367 | C22 | 1 | 4 | yes | complemented |
| 20 | #72225600 | C22 | 1 | 4 | yes | complemented |
| 21 | #72225597 | C22 | 1 | 4 | yes | — |
| 22 | C2×D162 | C2 | 1 | 1 | yes | maximal, characteristic |
| 23 | D162 | C4 | 1 | 16 | yes | complemented |
| 24 | C2×#123363 | C22 | 1 | 4 | yes | — |
| 25 | D4×#2177 | — | 2 | 4 | no | — |
| 26 | C2×D8×D16 | C22 | 1 | 4 | yes | — |
| 27 | #72225392 | C2 | 1 | 2 | yes | maximal, complemented |
| 28 | #72225386 | C22 | 1 | 4 | yes | complemented |
| 29 | #72225384 | C22 | 1 | 4 | yes | complemented |
| 30 | D8×#346 | C22 | 1 | 4 | yes | complemented |
| 31 | #72225377 | C22 | 1 | 2 | yes | complemented |
| 32 | #72225375 | C22 | 1 | 2 | yes | complemented |
| 33 | C2×#122946 | C22 | 1 | 2 | yes | — |
| 34 | #72225365 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×C16×D16 | C22 | 1 | 2 | yes | — |
| 36 | #72225218 | C2 | 1 | 4 | yes | maximal, complemented |
| 37 | #72225208 | — | 2 | 8 | no | — |
| 38 | #72225202 | C22 | 1 | 4 | yes | complemented |
| 39 | #72225198 | C22 | 1 | 4 | yes | complemented |
| 40 | #72225193 | C22 | 1 | 8 | yes | complemented |
| 41 | #72225188 | C22 | 1 | 8 | yes | complemented |
| 42 | #72225182 | C22 | 1 | 4 | yes | complemented |
| 43 | C2×#123275 | C22 | 1 | 4 | yes | — |
| 44 | C8×#2177 | C22 | 1 | 2 | yes | — |
| 45 | #72216562 | C22 | 1 | 4 | yes | complemented |
| 46 | #72216536 | C22 | 1 | 4 | yes | complemented |
| 47 | C4×D82 | C22 | 1 | 4 | yes | complemented |
| 48 | #72216276 | C22 | 1 | 8 | yes | complemented |
| 49 | #72216199 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 50 | #72216197 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | #72216196 | C22 | 1 | 4 | yes | complemented |
| 52 | #72216196 | C22 | 1 | 2 | yes | complemented |
| 53 | C2×#123403 | C22 | 1 | 1 | yes | characteristic |
| 54 | #72216182 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #72216165 | C22 | 1 | 4 | yes | complemented |
| 56 | #72216165 | C22 | 1 | 2 | yes | complemented |
| 57 | C2×D4×D16 | — | 2 | 4 | no | — |
| 58 | C22×#2177 | — | 4 | 4 | no | — |
| 59 | C4×D4×D8 | — | 2 | 8 | no | — |
| 60 | C2×D82 | C23 | 1 | 4 | yes | — |
| 61 | #498562 | — | 2 | 4 | no | — |
| 62 | #498355 | — | 4 | 4 | no | — |
| 63 | #498306 | — | 2 | 8 | no | — |
| 64 | #498148 | — | 4 | 8 | no | — |
| 65 | #497870 | — | 2 | 4 | no | — |
| 66 | D4×#367 | — | 2 | 4 | no | — |
| 67 | #497432 | — | 4 | 4 | no | — |
| 68 | D4×#357 | — | 2 | 8 | no | — |
| 69 | #496104 | — | 2 | 4 | no | — |
| 70 | #496104 | — | 2 | 4 | no | — |
| 71 | #496104 | — | 4 | 2 | no | — |
| 72 | #495862 | — | 4 | 4 | no | — |
| 73 | #495812 | — | 2 | 8 | no | — |
| 74 | #495688 | — | 4 | 8 | no | — |
| 75 | C4×#2177 | D4 | 1 | 2 | yes | — |
| 76 | D4×#346 | — | 2 | 4 | no | — |
| 77 | D8×D16 | — | 2 | 16 | no | — |
| 78 | D8×D16 | C2×C4 | 1 | 32 | yes | complemented |
| 79 | C2×#12515 | C23 | 1 | 4 | yes | — |
| 80 | C2×#12515 | C23 | 1 | 2 | yes | — |
| 81 | C2×#12430 | — | 2 | 4 | no | — |
| 82 | C2×#12424 | C23 | 1 | 8 | yes | — |
| 83 | C2×#12316 | — | 2 | 8 | no | — |
| 84 | C2×#12045 | D4 | 1 | 2 | yes | — |
| 85 | C2×C8×D16 | C23 | 1 | 2 | yes | — |
| 86 | C2×C16×D8 | C23 | 1 | 4 | yes | — |
| 87 | C2×C16×D8 | C23 | 1 | 4 | yes | — |
| 88 | #231561 | C23 | 1 | 4 | yes | — |
| 89 | #229257 | — | 2 | 8 | no | — |
| 90 | #226998 | — | 4 | 4 | no | — |
| 91 | D8×#107 | C23 | 1 | 8 | yes | — |
| 92 | D8×#102 | — | 2 | 8 | no | — |
| 93 | C4×#1712 | C23 | 1 | 4 | yes | — |
| 94 | C4×#1667 | — | 2 | 8 | no | — |
| 95 | C4×#1619 | — | 4 | 4 | no | — |
| 96 | C4×C8×D8 | C23 | 1 | 4 | yes | — |
| 97 | #141681 | — | 2 | 4 | no | — |
| 98 | #141681 | — | 2 | 4 | no | — |
| 99 | #141681 | — | 4 | 2 | no | — |
| 100 | #141665 | C23 | 1 | 8 | yes | — |
| 101 | #141665 | C23 | 1 | 4 | yes | — |
| 102 | #141258 | — | 2 | 4 | no | — |
| 103 | #141247 | C23 | 1 | 8 | yes | — |
| 104 | #140433 | C23 | 1 | 8 | yes | — |
| 105 | #140429 | — | 2 | 4 | no | — |
| 106 | #140233 | — | 2 | 8 | no | — |
| 107 | #140224 | — | 2 | 8 | no | — |
| 108 | #138642 | — | 2 | 8 | no | — |
| 109 | #138625 | — | 2 | 8 | no | — |
| 110 | #137536 | — | 2 | 8 | no | — |
| 111 | #136893 | — | 2 | 8 | no | — |
| 112 | #136878 | — | 2 | 8 | no | — |
| 113 | #136495 | — | 2 | 8 | no | — |
| 114 | #136339 | — | 2 | 8 | no | — |
| 115 | #136331 | — | 2 | 8 | no | — |
| 116 | #135778 | C23 | 1 | 4 | yes | — |
| 117 | #135778 | C23 | 1 | 2 | yes | — |
| 118 | #134960 | — | 2 | 4 | no | — |
| 119 | #134950 | C23 | 1 | 8 | yes | — |
| 120 | #131848 | — | 2 | 8 | no | — |
| 121 | #129146 | D4 | 1 | 2 | yes | — |
| 122 | C8×#367 | C23 | 1 | 2 | yes | — |
| 123 | #129140 | C23 | 1 | 4 | yes | — |
| 124 | #129140 | C23 | 1 | 4 | yes | — |
| 125 | #129099 | D4 | 1 | 2 | yes | — |
| 126 | #129093 | C23 | 1 | 4 | yes | — |
| 127 | #128900 | — | 2 | 8 | no | — |
| 128 | #128666 | D4 | 1 | 4 | yes | — |
| 129 | C8×#357 | C23 | 1 | 4 | yes | — |
| 130 | #128659 | — | 2 | 4 | no | — |
| 131 | #128659 | — | 2 | 4 | no | — |
| 132 | #128531 | D4 | 1 | 4 | yes | — |
| 133 | #128518 | — | 2 | 4 | no | — |
| 134 | C8×#346 | C23 | 1 | 1 | yes | characteristic |
| 135 | C8×#346 | C23 | 1 | 2 | yes | — |
| 136 | #123403 | C2×C4 | 1 | 8 | yes | complemented |
| 137 | #123363 | C2×C4 | 1 | 32 | yes | complemented |
| 138 | #123275 | C2×C4 | 1 | 32 | yes | complemented |
| 139 | #122946 | — | 2 | 8 | no | — |
| 140 | C16×D16 | C2×C4 | 1 | 16 | yes | complemented |
| 141 | C2×#7101 | C23 | 1 | 2 | yes | — |
| 142 | C2×#7100 | C23 | 1 | 2 | yes | — |
| 143 | C2×#7096 | C23 | 1 | 4 | yes | — |
| 144 | C2×#7096 | C23 | 1 | 4 | yes | — |
| 145 | C2×#7068 | C23 | 1 | 4 | yes | — |
| 146 | C2×#7068 | C23 | 1 | 4 | yes | — |
| 147 | C2×#7052 | C23 | 1 | 2 | yes | — |
| 148 | C2×#7052 | C23 | 1 | 1 | yes | characteristic |
| 149 | C2×C162 | C23 | 1 | 1 | yes | characteristic |
| 150 | #93064 | C23 | 1 | 8 | yes | — |
| 151 | #92931 | C23 | 1 | 4 | yes | — |
| 152 | #92931 | C23 | 1 | 4 | yes | — |
| 153 | #92911 | C23 | 1 | 4 | yes | — |
| 154 | C23×D16 | — | 4 | 4 | no | — |
| 155 | C2×D4×D8 | — | 2 | 8 | no | — |
| 156 | C22×C4×D8 | — | 4 | 8 | no | — |
| 157 | C4×D42 | — | 4 | 4 | no | — |
| 158 | D4×D16 | — | 2 | 32 | no | — |
| 159 | D4×D16 | — | 4 | 16 | no | — |
| 160 | C2×#2246 | — | 2 | 4 | no | — |
| 161 | C2×#2246 | — | 2 | 4 | no | — |
| 162 | C2×#2246 | — | 4 | 2 | no | — |
| 163 | C2×#2215 | — | 4 | 4 | no | — |
| 164 | C2×#2206 | — | 2 | 8 | no | — |
| 165 | C2×#2184 | — | 4 | 8 | no | — |
| 166 | C2×#2177 | — | 4 | 8 | no | — |
| 167 | C2×#2177 | — | 4 | 4 | no | — |
| 168 | C2×#2177 | — | 4 | 8 | no | — |
| 169 | C2×#2177 | — | 4 | 4 | no | — |
| 170 | C2×#2177 | — | 4 | 4 | no | — |
| 171 | C2×#2177 | — | 4 | 4 | no | — |
| 172 | C2×#2177 | — | 8 | 4 | no | — |
| 173 | C2×#2177 | — | 8 | 4 | no | — |
| 174 | C2×#2177 | — | 8 | 32 | no | — |
| 175 | C2×#2177 | D8 | 1 | 4 | yes | — |
| 176 | C2×C4×D16 | C2×D4 | 1 | 2 | yes | — |
| 177 | C2×D4×C16 | — | 2 | 4 | no | — |
| 178 | C2×D4×C16 | — | 2 | 4 | no | — |
| 179 | C22×#367 | — | 4 | 4 | no | — |
| 180 | C22×#357 | — | 4 | 8 | no | — |
| 181 | C22×#346 | — | 4 | 4 | no | — |
| 182 | #23185 | — | 2 | 8 | no | — |
| 183 | #23025 | — | 4 | 8 | no | — |
| 184 | #22995 | — | 4 | 8 | no | — |
| 185 | #22870 | — | 8 | 8 | no | — |
| 186 | C4⋊C4×D8 | — | 2 | 8 | no | — |
| 187 | D4×#107 | — | 2 | 8 | no | — |
| 188 | C22⋊C4×D8 | — | 4 | 8 | no | — |
| 189 | D4×#102 | — | 4 | 8 | no | — |
| 190 | C4×#493 | — | 2 | 8 | no | — |
| 191 | C4×#493 | — | 2 | 4 | no | — |
| 192 | C4×#466 | — | 4 | 8 | no | — |
| 193 | C4×#459 | — | 4 | 8 | no | — |
| 194 | C4×#447 | — | 8 | 8 | no | — |
| 195 | C42×D8 | C2×D4 | 1 | 4 | yes | — |
| 196 | C4×C8×D4 | — | 2 | 4 | no | — |
| 197 | D82 | — | 2 | 16 | no | — |
| 198 | D82 | — | 4 | 4 | no | — |
| 199 | D82 | C22×C4 | 1 | 16 | yes | complemented |
| 200 | C2×#1712 | C24 | 1 | 4 | yes | — |
| 201 | C2×#1667 | — | 2 | 8 | no | — |
| 202 | C2×#1619 | — | 4 | 4 | no | — |
| 203 | C2×C8×D8 | C2×D4 | 1 | 4 | yes | — |
| 204 | C2×C8×D8 | C24 | 1 | 4 | yes | — |
| 205 | #13252 | — | 2 | 8 | no | — |
| 206 | #13239 | — | 4 | 4 | no | — |
| 207 | #13239 | — | 4 | 4 | no | — |
| 208 | #13239 | — | 4 | 4 | no | — |
| 209 | #13239 | — | 8 | 4 | no | — |
| 210 | #13239 | — | 8 | 4 | no | — |
| 211 | #13202 | — | 2 | 8 | no | — |
| 212 | #13202 | — | 2 | 8 | no | — |
| 213 | #13202 | — | 4 | 4 | no | — |
| 214 | #13177 | — | 2 | 8 | no | — |
| 215 | #13168 | — | 4 | 4 | no | — |
| 216 | #13149 | — | 4 | 8 | no | — |
| 217 | #13131 | — | 4 | 8 | no | — |
| 218 | #13059 | — | 4 | 8 | no | — |
| 219 | #13012 | — | 4 | 8 | no | — |
| 220 | #13012 | — | 4 | 8 | no | — |
| 221 | #13012 | — | 4 | 8 | no | — |
| 222 | #12991 | — | 4 | 8 | no | — |
| 223 | #12937 | — | 4 | 8 | no | — |
| 224 | #12937 | — | 4 | 8 | no | — |
| 225 | #12920 | — | 4 | 8 | no | — |
| 226 | #12906 | — | 2 | 4 | no | — |
| 227 | #12906 | — | 2 | 4 | no | — |
| 228 | #12906 | — | 4 | 2 | no | — |
| 229 | #12835 | — | 4 | 4 | no | — |
| 230 | #12811 | — | 2 | 8 | no | — |
| 231 | #12731 | — | 4 | 8 | no | — |
| 232 | #12674 | D8 | 1 | 4 | yes | — |
| 233 | C4×#367 | C2×D4 | 1 | 2 | yes | — |
| 234 | #12662 | — | 2 | 4 | no | — |
| 235 | #12662 | — | 2 | 4 | no | — |
| 236 | #12653 | — | 2 | 4 | no | — |
| 237 | #12637 | — | 4 | 8 | no | — |
| 238 | #12637 | D8 | 1 | 8 | yes | — |
| 239 | C4×#357 | C2×D4 | 1 | 4 | yes | — |
| 240 | #12611 | — | 4 | 4 | no | — |
| 241 | #12611 | — | 4 | 4 | no | — |
| 242 | #12599 | — | 4 | 4 | no | — |
| 243 | C4×#346 | — | 2 | 1 | no | — |
| 244 | C4×#346 | C2×D4 | 1 | 2 | yes | — |
| 245 | C4×#346 | C2×D4 | 1 | 2 | yes | — |
| 246 | #12515 | — | 2 | 8 | no | — |
| 247 | #12515 | — | 4 | 2 | no | — |
| 248 | #12515 | C22×C4 | 1 | 16 | yes | complemented |
| 249 | #12515 | C22×C4 | 1 | 8 | yes | complemented |
| 250 | #12430 | — | 2 | 32 | no | — |
| 251 | #12424 | — | 2 | 16 | no | — |
| 252 | #12424 | C22×C4 | 1 | 32 | yes | complemented |
| 253 | #12316 | — | 2 | 64 | no | — |
| 254 | #12045 | — | 2 | 8 | no | — |
| 255 | C8×D16 | C22×C4 | 1 | 8 | yes | — |
| 256 | C8×D16 | #41 | 1 | 8 | yes | — |
| 257 | C16×D8 | — | 2 | 8 | no | — |
| 258 | C16×D8 | — | 2 | 8 | no | — |
| 259 | C16×D8 | — | 4 | 4 | no | — |
| 260 | C16×D8 | C22×C4 | 1 | 16 | yes | complemented |
| 261 | C2×#1372 | C2×D4 | 1 | 2 | yes | — |
| 262 | C2×#1371 | C2×D4 | 1 | 2 | yes | — |
| 263 | C2×#1370 | C24 | 1 | 4 | yes | — |
| 264 | C2×#1370 | C24 | 1 | 4 | yes | — |
| 265 | C2×#1361 | — | 2 | 8 | no | — |
| 266 | C2×#1361 | — | 2 | 8 | no | — |
| 267 | C2×#1331 | C2×D4 | 1 | 4 | yes | — |
| 268 | C2×#1331 | C2×D4 | 1 | 4 | yes | — |
| 269 | C2×D4⋊C16 | — | 2 | 4 | no | — |
| 270 | C2×D4⋊C16 | — | 2 | 4 | no | — |
| 271 | C2×#1311 | — | 2 | 1 | no | — |
| 272 | C2×#1311 | C2×D4 | 1 | 2 | yes | — |
| 273 | C2×#1311 | C2×D4 | 1 | 2 | yes | — |
| 274 | C2×C8×C16 | C24 | 1 | 1 | yes | characteristic |
| 275 | C2×C8×C16 | C24 | 1 | 2 | yes | — |
| 276 | C2×C8×C16 | C24 | 1 | 1 | yes | characteristic |
| 277 | C2×C8×C16 | C24 | 1 | 2 | yes | — |
| 278 | #9824 | — | 2 | 8 | no | — |
| 279 | #9824 | — | 2 | 4 | no | — |
| 280 | #9734 | — | 2 | 8 | no | — |
| 281 | #9614 | — | 2 | 8 | no | — |
| 282 | #9563 | — | 4 | 8 | no | — |
| 283 | #9221 | — | 4 | 8 | no | — |
| 284 | #9061 | — | 4 | 4 | no | — |
| 285 | #8977 | — | 4 | 8 | no | — |
| 286 | #8920 | — | 4 | 4 | no | — |
| 287 | #8882 | — | 4 | 8 | no | — |
| 288 | #8818 | C24 | 1 | 4 | yes | — |
| 289 | #8644 | — | 2 | 8 | no | — |
| 290 | #8443 | — | 4 | 4 | no | — |
| 291 | C8×#107 | C2×D4 | 1 | 4 | yes | — |
| 292 | C8×#107 | C24 | 1 | 4 | yes | — |
| 293 | C4×#335 | C2×D4 | 1 | 4 | yes | — |
| 294 | C4×#331 | — | 4 | 4 | no | — |
| 295 | C8×#102 | — | 2 | 4 | no | — |
| 296 | C8×#102 | — | 2 | 4 | no | — |
| 297 | C4×D4⋊C8 | — | 2 | 4 | no | — |
| 298 | C4×C82 | C24 | 1 | 1 | yes | characteristic |
| 299 | #7274 | — | 2 | 8 | no | — |
| 300 | #7274 | — | 2 | 8 | no | — |
| 301 | #7171 | C2×D4 | 1 | 4 | yes | — |
| 302 | #7171 | C2×D4 | 1 | 4 | yes | — |
| 303 | #7167 | — | 2 | 4 | no | — |
| 304 | #7167 | — | 2 | 4 | no | — |
| 305 | #7154 | C2×D4 | 1 | 4 | yes | — |
| 306 | #7151 | — | 2 | 4 | no | — |
| 307 | #7101 | — | 2 | 4 | no | — |
| 308 | #7100 | C22×C4 | 1 | 8 | yes | complemented |
| 309 | #7096 | — | 4 | 4 | no | — |
| 310 | #7096 | C22×C4 | 1 | 16 | yes | complemented |
| 311 | #7068 | — | 2 | 8 | no | — |
| 312 | #7068 | C22×C4 | 1 | 16 | yes | complemented |
| 313 | #7052 | — | 2 | 4 | no | — |
| 314 | #7052 | — | 4 | 1 | no | — |
| 315 | C162 | C22×C4 | 1 | 4 | yes | complemented |
| 316 | C23×D8 | — | 4 | 8 | no | — |
| 317 | C2×D42 | — | 4 | 4 | no | — |
| 318 | C22×C4×D4 | — | 8 | 8 | no | — |
| 319 | C22×D16 | — | 4 | 32 | no | — |
| 320 | C22×D16 | — | 4 | 4 | no | — |
| 321 | C22×D16 | — | 4 | 4 | no | — |
| 322 | C22×D16 | — | 4 | 8 | no | — |
| 323 | C22×D16 | — | 8 | 4 | no | — |
| 324 | C22×D16 | — | 8 | 4 | no | — |
| 325 | C22×D16 | — | 8 | 16 | no | — |
| 326 | C22×D16 | — | 8 | 16 | no | — |
| 327 | C22×D16 | C2×D8 | 1 | 2 | yes | — |
| 328 | C23×C16 | — | 4 | 4 | no | — |
| 329 | C23×C16 | — | 4 | 4 | no | — |
| 330 | D4×D8 | — | 2 | 32 | no | — |
| 331 | D4×D8 | — | 4 | 16 | no | — |
| 332 | D4×D8 | — | 4 | 16 | no | — |
| 333 | D4×D8 | — | 8 | 8 | no | — |
| 334 | C2×#493 | — | 2 | 8 | no | — |
| 335 | C2×#493 | — | 2 | 4 | no | — |
| 336 | C2×#466 | — | 4 | 8 | no | — |
| 337 | C2×#459 | — | 4 | 8 | no | — |
| 338 | C2×#447 | — | 8 | 8 | no | — |
| 339 | C2×C4×D8 | — | 4 | 8 | no | — |
| 340 | C2×C4×D8 | — | 4 | 8 | no | — |
| 341 | C2×C4×D8 | — | 4 | 8 | no | — |
| 342 | C2×C4×D8 | — | 4 | 8 | no | — |
| 343 | C2×C4×D8 | — | 8 | 8 | no | — |
| 344 | C2×C4×D8 | — | 8 | 8 | no | — |
| 345 | C2×C4×D8 | — | 8 | 4 | no | — |
| 346 | C2×C4×D8 | — | 8 | 32 | no | — |
| 347 | C2×C4×D8 | — | 16 | 16 | no | — |
| 348 | C2×C4×D8 | C2×D8 | 1 | 8 | yes | — |
| 349 | C2×C4×D8 | C22×D4 | 1 | 4 | yes | — |
| 350 | C2×C8×D4 | — | 2 | 4 | no | — |
| 351 | C2×C8×D4 | — | 2 | 4 | no | — |
| 352 | C22×#107 | — | 4 | 8 | no | — |
| 353 | C22×#102 | — | 8 | 8 | no | — |
| 354 | C22×C4×C8 | — | 4 | 4 | no | — |
| 355 | #2366 | — | 4 | 4 | no | — |
| 356 | #2361 | — | 8 | 8 | no | — |
| 357 | #2358 | — | 16 | 4 | no | — |
| 358 | D4×C4⋊C4 | — | 4 | 8 | no | — |
| 359 | D4×C22⋊C4 | — | 8 | 8 | no | — |
| 360 | C4×#127 | — | 4 | 4 | no | — |
| 361 | C4×#121 | — | 8 | 8 | no | — |
| 362 | C4×#120 | — | 16 | 4 | no | — |
| 363 | C42×D4 | — | 2 | 4 | no | — |
| 364 | #2246 | — | 2 | 16 | no | — |
| 365 | #2246 | — | 2 | 16 | no | — |
| 366 | #2246 | — | 4 | 8 | no | — |
| 367 | #2246 | — | 4 | 8 | no | — |
| 368 | #2246 | — | 8 | 4 | no | — |
| 369 | #2246 | — | 8 | 4 | no | — |
| 370 | #2215 | — | 4 | 32 | no | — |
| 371 | #2206 | — | 2 | 32 | no | — |
| 372 | #2206 | — | 4 | 16 | no | — |
| 373 | #2184 | — | 4 | 64 | no | — |
| 374 | #2177 | — | 2 | 16 | no | — |
| 375 | #2177 | — | 8 | 16 | no | — |
| 376 | #2177 | — | 8 | 32 | no | — |
| 377 | #2177 | — | 8 | 16 | no | — |
| 378 | #2177 | — | 8 | 32 | no | — |
| 379 | #2177 | — | 8 | 16 | no | — |
| 380 | #2177 | — | 16 | 8 | no | — |
| 381 | #2177 | — | 16 | 16 | no | — |
| 382 | #2177 | — | 16 | 16 | no | — |
| 383 | C4×D16 | C4×D4 | 1 | 8 | yes | — |
| 384 | C4×D16 | #135 | 1 | 8 | yes | — |
| 385 | D4×C16 | — | 2 | 16 | no | — |
| 386 | D4×C16 | — | 4 | 8 | no | — |
| 387 | D4×C16 | — | 4 | 8 | no | — |
| 388 | D4×C16 | — | 8 | 4 | no | — |
| 389 | C2×#367 | — | 4 | 4 | no | — |
| 390 | C2×#367 | — | 4 | 8 | no | — |
| 391 | C2×#367 | — | 4 | 4 | no | — |
| 392 | C2×#367 | — | 8 | 16 | no | — |
| 393 | C2×#367 | — | 8 | 4 | no | — |
| 394 | C2×#367 | — | 8 | 4 | no | — |
| 395 | C2×#367 | C2×D8 | 1 | 4 | yes | — |
| 396 | C2×#366 | C2×D8 | 1 | 2 | yes | — |
| 397 | C2×C4⋊C16 | — | 2 | 4 | no | — |
| 398 | C2×C4⋊C16 | — | 2 | 4 | no | — |
| 399 | C2×#357 | — | 4 | 8 | no | — |
| 400 | C2×#357 | — | 4 | 8 | no | — |
| 401 | C2×#357 | — | 4 | 8 | no | — |
| 402 | C2×#357 | — | 4 | 8 | no | — |
| 403 | C2×#357 | — | 4 | 8 | no | — |
| 404 | C2×#357 | — | 4 | 8 | no | — |
| 405 | C2×#357 | — | 8 | 8 | no | — |
| 406 | C2×#357 | — | 8 | 32 | no | — |
| 407 | C2×#357 | — | 8 | 8 | no | — |
| 408 | C2×#357 | C2×D8 | 1 | 8 | yes | — |
| 409 | C2×#357 | C2×D8 | 1 | 4 | yes | — |
| 410 | C2×C22⋊C16 | — | 4 | 4 | no | — |
| 411 | C2×C22⋊C16 | — | 4 | 4 | no | — |
| 412 | C2×#346 | — | 2 | 4 | no | — |
| 413 | C2×#346 | — | 2 | 4 | no | — |
| 414 | C2×#346 | — | 4 | 4 | no | — |
| 415 | C2×#346 | — | 4 | 4 | no | — |
| 416 | C2×#346 | — | 4 | 4 | no | — |
| 417 | C2×#346 | — | 8 | 16 | no | — |
| 418 | C2×#346 | C2×D8 | 1 | 4 | yes | — |
| 419 | C2×#346 | C2×D8 | 1 | 4 | yes | — |
| 420 | C2×C4×C16 | — | 2 | 1 | no | — |
| 421 | C2×C4×C16 | — | 2 | 1 | no | — |
| 422 | C2×C4×C16 | C22×D4 | 1 | 2 | yes | — |
| 423 | C2×C4×C16 | C22×D4 | 1 | 2 | yes | — |
| 424 | C2×C4×C16 | C22×D4 | 1 | 2 | yes | — |
| 425 | C2×C4×C16 | C22×D4 | 1 | 2 | yes | — |
| 426 | #1982 | — | 4 | 8 | no | — |
| 427 | #1970 | — | 4 | 8 | no | — |
| 428 | #1970 | — | 4 | 8 | no | — |
| 429 | #1970 | — | 4 | 8 | no | — |
| 430 | #1970 | — | 8 | 4 | no | — |
| 431 | #1957 | — | 4 | 8 | no | — |
| 432 | #1957 | — | 4 | 4 | no | — |
| 433 | #1947 | — | 4 | 8 | no | — |
| 434 | #1942 | — | 4 | 8 | no | — |
| 435 | #1934 | — | 8 | 8 | no | — |
| 436 | #1925 | — | 8 | 8 | no | — |
| 437 | #1893 | — | 8 | 8 | no | — |
| 438 | #1879 | — | 8 | 8 | no | — |
| 439 | #1879 | — | 8 | 8 | no | — |
| 440 | #1879 | — | 8 | 8 | no | — |
| 441 | #1874 | — | 8 | 8 | no | — |
| 442 | #1862 | — | 8 | 8 | no | — |
| 443 | #1862 | — | 8 | 8 | no | — |
| 444 | #1852 | — | 8 | 8 | no | — |
| 445 | #1845 | — | 2 | 8 | no | — |
| 446 | #1845 | — | 2 | 4 | no | — |
| 447 | #1808 | — | 4 | 8 | no | — |
| 448 | #1802 | — | 4 | 8 | no | — |
| 449 | #1786 | — | 8 | 8 | no | — |
| 450 | C4×#107 | C2×D8 | 1 | 8 | yes | — |
| 451 | C4×#107 | C22×D4 | 1 | 4 | yes | — |
| 452 | C8×C4⋊C4 | — | 2 | 4 | no | — |
| 453 | C8×C4⋊C4 | — | 2 | 4 | no | — |
| 454 | C4×C4⋊C8 | — | 2 | 4 | no | — |
| 455 | C4×#102 | — | 2 | 4 | no | — |
| 456 | C4×#102 | — | 2 | 8 | no | — |
| 457 | C4×#102 | — | 8 | 8 | no | — |
| 458 | C8×C22⋊C4 | — | 4 | 4 | no | — |
| 459 | C8×C22⋊C4 | — | 4 | 4 | no | — |
| 460 | C4×C22⋊C8 | — | 4 | 4 | no | — |
| 461 | C42×C8 | C22×D4 | 1 | 2 | yes | — |
| 462 | C42×C8 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 463 | #1712 | — | 2 | 8 | no | — |
| 464 | #1712 | — | 2 | 4 | no | — |
| 465 | #1712 | C23×C4 | 1 | 8 | yes | — |
| 466 | #1667 | — | 2 | 32 | no | — |
| 467 | #1667 | — | 4 | 16 | no | — |
| 468 | #1619 | — | 4 | 16 | no | — |
| 469 | #1619 | — | 4 | 16 | no | — |
| 470 | C8×D8 | — | 2 | 8 | no | — |
| 471 | C8×D8 | — | 2 | 4 | no | — |
| 472 | C8×D8 | — | 2 | 4 | no | — |
| 473 | C8×D8 | — | 4 | 4 | no | — |
| 474 | C8×D8 | C23×C4 | 1 | 8 | yes | — |
| 475 | C8×D8 | C2×#41 | 1 | 8 | yes | — |
| 476 | C2×#335 | C22×D4 | 1 | 4 | yes | — |
| 477 | C2×#335 | C22×D4 | 1 | 4 | yes | — |
| 478 | C2×#331 | — | 4 | 4 | no | — |
| 479 | C2×#331 | — | 4 | 4 | no | — |
| 480 | C2×D4⋊C8 | — | 2 | 4 | no | — |
| 481 | C2×D4⋊C8 | — | 2 | 4 | no | — |
| 482 | C2×C82 | C22×D4 | 1 | 2 | yes | — |
| 483 | C2×C82 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 484 | C2×C82 | C25 | 1 | 1 | yes | characteristic |
| 485 | #1380 | — | 4 | 8 | no | — |
| 486 | #1380 | — | 4 | 8 | no | — |
| 487 | #1380 | C2×D8 | 1 | 8 | yes | — |
| 488 | #1380 | C2×D8 | 1 | 4 | yes | — |
| 489 | #1374 | — | 4 | 4 | no | — |
| 490 | #1374 | — | 4 | 4 | no | — |
| 491 | #1374 | — | 4 | 4 | no | — |
| 492 | #1372 | — | 2 | 4 | no | — |
| 493 | #1371 | C4×D4 | 1 | 8 | yes | — |
| 494 | #1370 | — | 2 | 4 | no | — |
| 495 | #1370 | — | 2 | 4 | no | — |
| 496 | #1370 | — | 2 | 4 | no | — |
| 497 | #1370 | C23×C4 | 1 | 8 | yes | — |
| 498 | #1361 | — | 2 | 32 | no | — |
| 499 | #1361 | — | 8 | 8 | no | — |
| 500 | #1331 | — | 2 | 8 | no | — |
| 501 | #1331 | C4×D4 | 1 | 16 | yes | — |
| 502 | D4⋊C16 | — | 2 | 16 | no | — |
| 503 | D4⋊C16 | — | 4 | 8 | no | — |
| 504 | #1311 | — | 2 | 4 | no | — |
| 505 | #1311 | — | 4 | 2 | no | — |
| 506 | #1311 | — | 4 | 2 | no | — |
| 507 | C8×C16 | — | 2 | 2 | no | — |
| 508 | C8×C16 | — | 2 | 2 | no | — |
| 509 | C8×C16 | — | 2 | 2 | no | — |
| 510 | C8×C16 | — | 2 | 1 | no | — |
| 511 | C8×C16 | C23×C4 | 1 | 2 | yes | — |
| 512 | C8×C16 | C23×C4 | 1 | 4 | yes | — |
| 513 | C8×C16 | C2×#41 | 1 | 4 | yes | — |
| 514 | #1296 | — | 4 | 8 | no | — |
| 515 | #1279 | — | 2 | 4 | no | — |
| 516 | #1279 | — | 2 | 4 | no | — |
| 517 | #1277 | — | 2 | 4 | no | — |
| 518 | C23×D4 | — | 8 | 8 | no | — |
| 519 | C24×C4 | — | 16 | 4 | no | — |
| 520 | C22×D8 | — | 4 | 32 | no | — |
| 521 | C22×D8 | — | 4 | 8 | no | — |
| 522 | C22×D8 | — | 4 | 8 | no | — |
| 523 | C22×D8 | — | 8 | 4 | no | — |
| 524 | C22×D8 | — | 8 | 16 | no | — |
| 525 | C22×D8 | — | 8 | 8 | no | — |
| 526 | C22×D8 | — | 8 | 16 | no | — |
| 527 | C22×D8 | — | 8 | 16 | no | — |
| 528 | C22×D8 | — | 16 | 8 | no | — |
| 529 | C22×D8 | — | 16 | 8 | no | — |
| 530 | C22×D8 | C22×D8 | 1 | 4 | yes | — |
| 531 | C23×C8 | — | 4 | 4 | no | — |
| 532 | C23×C8 | — | 4 | 4 | no | — |
| 533 | D42 | — | 4 | 16 | no | — |
| 534 | D42 | — | 8 | 16 | no | — |
| 535 | D42 | — | 16 | 4 | no | — |
| 536 | C2×#127 | — | 4 | 4 | no | — |
| 537 | C2×#121 | — | 8 | 8 | no | — |
| 538 | C2×#120 | — | 16 | 4 | no | — |
| 539 | C2×C4×D4 | — | 2 | 4 | no | — |
| 540 | C2×C4×D4 | — | 2 | 8 | no | — |
| 541 | C2×C4×D4 | — | 8 | 8 | no | — |
| 542 | C2×C4×D4 | — | 8 | 8 | no | — |
| 543 | C2×C4×D4 | — | 8 | 8 | no | — |
| 544 | C2×C4×D4 | — | 8 | 4 | no | — |
| 545 | C2×C4×D4 | — | 16 | 8 | no | — |
| 546 | C2×C4×D4 | — | 16 | 8 | no | — |
| 547 | C2×C4×D4 | — | 16 | 32 | no | — |
| 548 | C2×C4×D4 | — | 32 | 16 | no | — |
| 549 | C22×C4⋊C4 | — | 8 | 8 | no | — |
| 550 | C22×C22⋊C4 | — | 16 | 8 | no | — |
| 551 | C22×C42 | — | 4 | 4 | no | — |
| 552 | C2×D16 | — | 4 | 32 | no | — |
| 553 | C2×D16 | — | 4 | 16 | no | — |
| 554 | C2×D16 | — | 4 | 16 | no | — |
| 555 | C2×D16 | — | 8 | 16 | no | — |
| 556 | C2×D16 | — | 8 | 16 | no | — |
| 557 | C2×D16 | — | 8 | 16 | no | — |
| 558 | C2×D16 | — | 8 | 16 | no | — |
| 559 | C2×D16 | — | 8 | 128 | no | — |
| 560 | C2×D16 | — | 8 | 8 | no | — |
| 561 | C2×D16 | — | 8 | 8 | no | — |
| 562 | C2×D16 | — | 16 | 4 | no | — |
| 563 | C2×D16 | — | 16 | 4 | no | — |
| 564 | C2×D16 | — | 16 | 8 | no | — |
| 565 | C2×D16 | — | 16 | 8 | no | — |
| 566 | C2×D16 | — | 16 | 8 | no | — |
| 567 | C2×D16 | — | 16 | 8 | no | — |
| 568 | C2×D16 | C4×D8 | 1 | 8 | yes | — |
| 569 | C2×D16 | #509 | 1 | 16 | yes | — |
| 570 | C22×C16 | — | 2 | 2 | no | — |
| 571 | C22×C16 | — | 2 | 2 | no | — |
| 572 | C22×C16 | — | 2 | 2 | no | — |
| 573 | C22×C16 | — | 2 | 2 | no | — |
| 574 | C22×C16 | — | 4 | 4 | no | — |
| 575 | C22×C16 | — | 4 | 16 | no | — |
| 576 | C22×C16 | — | 4 | 4 | no | — |
| 577 | C22×C16 | — | 8 | 8 | no | — |
| 578 | C22×C16 | — | 8 | 8 | no | — |
| 579 | C22×C16 | — | 8 | 8 | no | — |
| 580 | C22×C16 | — | 8 | 8 | no | — |
| 581 | C22×C16 | — | 16 | 4 | no | — |
| 582 | C22×C16 | C22×D8 | 1 | 4 | yes | — |
| 583 | C22×C16 | C22×D8 | 1 | 2 | yes | — |
| 584 | C22×C16 | C22×D8 | 1 | 2 | yes | — |
| 585 | #493 | — | 2 | 16 | no | — |
| 586 | #493 | — | 2 | 8 | no | — |
| 587 | #493 | — | 4 | 8 | no | — |
| 588 | #493 | — | 4 | 8 | no | — |
| 589 | #493 | — | 4 | 4 | no | — |
| 590 | #493 | — | 4 | 8 | no | — |
| 591 | #493 | — | 8 | 4 | no | — |
| 592 | #466 | — | 4 | 32 | no | — |
| 593 | #466 | — | 8 | 16 | no | — |
| 594 | #459 | — | 4 | 32 | no | — |
| 595 | #459 | — | 8 | 16 | no | — |
| 596 | #447 | — | 8 | 32 | no | — |
| 597 | #447 | — | 8 | 32 | no | — |
| 598 | C4×D8 | — | 2 | 16 | no | — |
| 599 | C4×D8 | — | 2 | 4 | no | — |
| 600 | C4×D8 | — | 2 | 4 | no | — |
| 601 | C4×D8 | — | 4 | 8 | no | — |
| 602 | C4×D8 | — | 8 | 16 | no | — |
| 603 | C4×D8 | — | 8 | 16 | no | — |
| 604 | C4×D8 | — | 8 | 16 | no | — |
| 605 | C4×D8 | — | 8 | 16 | no | — |
| 606 | C4×D8 | — | 16 | 16 | no | — |
| 607 | C4×D8 | — | 16 | 16 | no | — |
| 608 | C4×D8 | — | 16 | 32 | no | — |
| 609 | C4×D8 | — | 16 | 8 | no | — |
| 610 | C4×D8 | — | 16 | 8 | no | — |
| 611 | C4×D8 | — | 16 | 32 | no | — |
| 612 | C4×D8 | C2×C4×D4 | 1 | 8 | yes | — |
| 613 | C4×D8 | C2×#135 | 1 | 8 | yes | — |
| 614 | C8×D4 | — | 2 | 8 | no | — |
| 615 | C8×D4 | — | 2 | 8 | no | — |
| 616 | C8×D4 | — | 4 | 8 | no | — |
| 617 | C8×D4 | — | 4 | 4 | no | — |
| 618 | C8×D4 | — | 4 | 4 | no | — |
| 619 | C8×D4 | — | 8 | 4 | no | — |
| 620 | C2×#107 | — | 4 | 8 | no | — |
| 621 | C2×#107 | — | 4 | 8 | no | — |
| 622 | C2×#107 | — | 8 | 16 | no | — |
| 623 | C2×#107 | — | 8 | 8 | no | — |
| 624 | C2×#107 | — | 8 | 4 | no | — |
| 625 | C2×#107 | — | 16 | 8 | no | — |
| 626 | C2×#107 | C22×D8 | 1 | 8 | yes | — |
| 627 | C2×#107 | C22×D8 | 1 | 4 | yes | — |
| 628 | C2×C4⋊C8 | — | 2 | 4 | no | — |
| 629 | C2×C4⋊C8 | — | 2 | 4 | no | — |
| 630 | C2×#102 | — | 2 | 4 | no | — |
| 631 | C2×#102 | — | 2 | 8 | no | — |
| 632 | C2×#102 | — | 8 | 8 | no | — |
| 633 | C2×#102 | — | 8 | 8 | no | — |
| 634 | C2×#102 | — | 8 | 8 | no | — |
| 635 | C2×#102 | — | 8 | 8 | no | — |
| 636 | C2×#102 | — | 8 | 8 | no | — |
| 637 | C2×#102 | — | 8 | 8 | no | — |
| 638 | C2×#102 | — | 16 | 32 | no | — |
| 639 | C2×#102 | — | 16 | 4 | no | — |
| 640 | C2×C22⋊C8 | — | 4 | 4 | no | — |
| 641 | C2×C22⋊C8 | — | 4 | 4 | no | — |
| 642 | C2×C4×C8 | — | 2 | 2 | no | — |
| 643 | C2×C4×C8 | — | 4 | 4 | no | — |
| 644 | C2×C4×C8 | — | 4 | 4 | no | — |
| 645 | C2×C4×C8 | — | 4 | 4 | no | — |
| 646 | C2×C4×C8 | — | 8 | 8 | no | — |
| 647 | C2×C4×C8 | — | 8 | 8 | no | — |
| 648 | C2×C4×C8 | D42 | 1 | 1 | yes | characteristic |
| 649 | C2×C4×C8 | D42 | 1 | 2 | yes | — |
| 650 | C2×C4×C8 | C22×D8 | 1 | 4 | yes | — |
| 651 | C2×C4×C8 | #576 | 1 | 4 | yes | — |
| 652 | C2×C4×C8 | C23×D4 | 1 | 2 | yes | — |
| 653 | C2×C4×C8 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 654 | #390 | — | 8 | 8 | no | — |
| 655 | #390 | — | 8 | 8 | no | — |
| 656 | #390 | — | 8 | 4 | no | — |
| 657 | #389 | — | 8 | 8 | no | — |
| 658 | #388 | — | 16 | 8 | no | — |
| 659 | #386 | — | 16 | 4 | no | — |
| 660 | #386 | — | 16 | 8 | no | — |
| 661 | #386 | — | 16 | 8 | no | — |
| 662 | #385 | — | 16 | 4 | no | — |
| 663 | #385 | — | 16 | 8 | no | — |
| 664 | #384 | — | 4 | 4 | no | — |
| 665 | #380 | — | 8 | 8 | no | — |
| 666 | #379 | — | 16 | 4 | no | — |
| 667 | C4×C4⋊C4 | — | 2 | 4 | no | — |
| 668 | C4×C4⋊C4 | — | 2 | 8 | no | — |
| 669 | C4×C22⋊C4 | — | 4 | 4 | no | — |
| 670 | C4×C22⋊C4 | — | 4 | 8 | no | — |
| 671 | C4×C22⋊C4 | — | 16 | 4 | no | — |
| 672 | C43 | D42 | 1 | 1 | yes | characteristic |
| 673 | #367 | — | 2 | 8 | no | — |
| 674 | #367 | — | 8 | 16 | no | — |
| 675 | #367 | — | 8 | 8 | no | — |
| 676 | #367 | — | 16 | 4 | no | — |
| 677 | #367 | — | 16 | 8 | no | — |
| 678 | #367 | — | 16 | 8 | no | — |
| 679 | #366 | C4×D8 | 1 | 8 | yes | — |
| 680 | C4⋊C16 | — | 2 | 8 | no | — |
| 681 | C4⋊C16 | — | 4 | 4 | no | — |
| 682 | C4⋊C16 | — | 4 | 4 | no | — |
| 683 | C4⋊C16 | — | 4 | 4 | no | — |
| 684 | #357 | — | 2 | 16 | no | — |
| 685 | #357 | — | 4 | 32 | no | — |
| 686 | #357 | — | 8 | 16 | no | — |
| 687 | #357 | — | 8 | 16 | no | — |
| 688 | #357 | — | 8 | 16 | no | — |
| 689 | #357 | — | 16 | 8 | no | — |
| 690 | #357 | — | 16 | 8 | no | — |
| 691 | #357 | — | 16 | 16 | no | — |
| 692 | #357 | — | 16 | 16 | no | — |
| 693 | #357 | C4×D8 | 1 | 16 | yes | — |
| 694 | C22⋊C16 | — | 4 | 16 | no | — |
| 695 | C22⋊C16 | — | 8 | 8 | no | — |
| 696 | #346 | — | 2 | 8 | no | — |
| 697 | #346 | — | 4 | 4 | no | — |
| 698 | #346 | — | 4 | 8 | no | — |
| 699 | #346 | — | 4 | 8 | no | — |
| 700 | #346 | — | 8 | 8 | no | — |
| 701 | #346 | — | 8 | 8 | no | — |
| 702 | #346 | — | 8 | 8 | no | — |
| 703 | C4×C16 | — | 2 | 2 | no | — |
| 704 | C4×C16 | — | 2 | 2 | no | — |
| 705 | C4×C16 | — | 2 | 2 | no | — |
| 706 | C4×C16 | — | 2 | 2 | no | — |
| 707 | C4×C16 | — | 2 | 2 | no | — |
| 708 | C4×C16 | — | 2 | 2 | no | — |
| 709 | C4×C16 | — | 2 | 2 | no | — |
| 710 | C4×C16 | — | 4 | 1 | no | — |
| 711 | C4×C16 | — | 4 | 1 | no | — |
| 712 | C4×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 713 | C4×C16 | C2×C4×D4 | 1 | 4 | yes | — |
| 714 | C4×C16 | C2×#135 | 1 | 4 | yes | — |
| 715 | #340 | — | 2 | 8 | no | — |
| 716 | #340 | — | 2 | 4 | no | — |
| 717 | #340 | — | 8 | 8 | no | — |
| 718 | #340 | — | 8 | 8 | no | — |
| 719 | #336 | — | 4 | 4 | no | — |
| 720 | #336 | — | 4 | 4 | no | — |
| 721 | #336 | — | 4 | 4 | no | — |
| 722 | #335 | — | 2 | 4 | no | — |
| 723 | #335 | — | 2 | 4 | no | — |
| 724 | #335 | — | 2 | 4 | no | — |
| 725 | #335 | C2×C4×D4 | 1 | 8 | yes | — |
| 726 | #331 | — | 4 | 16 | no | — |
| 727 | #331 | — | 16 | 4 | no | — |
| 728 | D4⋊C8 | — | 2 | 8 | no | — |
| 729 | D4⋊C8 | — | 2 | 8 | no | — |
| 730 | D4⋊C8 | — | 4 | 8 | no | — |
| 731 | C82 | — | 2 | 2 | no | — |
| 732 | C82 | — | 2 | 2 | no | — |
| 733 | C82 | — | 4 | 1 | no | — |
| 734 | C82 | C24×C4 | 1 | 1 | yes | characteristic |
| 735 | C82 | C22×#41 | 1 | 2 | yes | — |
| 736 | C82 | #585 | 1 | 1 | yes | characteristic |
| 737 | C25 | — | 16 | 4 | no | — |
| 738 | C22×D4 | — | 2 | 4 | no | — |
| 739 | C22×D4 | — | 8 | 32 | no | — |
| 740 | C22×D4 | — | 8 | 8 | no | — |
| 741 | C22×D4 | — | 8 | 4 | no | — |
| 742 | C22×D4 | — | 16 | 16 | no | — |
| 743 | C22×D4 | — | 16 | 8 | no | — |
| 744 | C22×D4 | — | 16 | 16 | no | — |
| 745 | C22×D4 | — | 16 | 16 | no | — |
| 746 | C22×D4 | — | 32 | 8 | no | — |
| 747 | C22×D4 | — | 32 | 8 | no | — |
| 748 | C23×C4 | — | 4 | 4 | no | — |
| 749 | C23×C4 | — | 4 | 8 | no | — |
| 750 | C23×C4 | — | 16 | 4 | no | — |
| 751 | C23×C4 | — | 16 | 8 | no | — |
| 752 | C23×C4 | — | 16 | 4 | no | — |
| 753 | C23×C4 | — | 32 | 32 | no | — |
| 754 | C23×C4 | — | 64 | 8 | no | — |
| 755 | C2×D8 | — | 2 | 8 | no | — |
| 756 | C2×D8 | — | 2 | 4 | no | — |
| 757 | C2×D8 | — | 4 | 16 | no | — |
| 758 | C2×D8 | — | 4 | 16 | no | — |
| 759 | C2×D8 | — | 8 | 8 | no | — |
| 760 | C2×D8 | — | 8 | 32 | no | — |
| 761 | C2×D8 | — | 8 | 64 | no | — |
| 762 | C2×D8 | — | 8 | 8 | no | — |
| 763 | C2×D8 | — | 8 | 8 | no | — |
| 764 | C2×D8 | — | 8 | 8 | no | — |
| 765 | C2×D8 | — | 8 | 8 | no | — |
| 766 | C2×D8 | — | 8 | 8 | no | — |
| 767 | C2×D8 | — | 8 | 8 | no | — |
| 768 | C2×D8 | — | 16 | 8 | no | — |
| 769 | C2×D8 | — | 16 | 8 | no | — |
| 770 | C2×D8 | — | 16 | 8 | no | — |
| 771 | C2×D8 | — | 16 | 8 | no | — |
| 772 | C2×D8 | — | 16 | 4 | no | — |
| 773 | C2×D8 | — | 16 | 32 | no | — |
| 774 | C2×D8 | — | 16 | 32 | no | — |
| 775 | C2×D8 | — | 16 | 32 | no | — |
| 776 | C2×D8 | — | 16 | 16 | no | — |
| 777 | C2×D8 | — | 16 | 16 | no | — |
| 778 | C2×D8 | C2×C4×D8 | 1 | 8 | yes | — |
| 779 | C2×D8 | C2×#509 | 1 | 16 | yes | — |
| 780 | C22×C8 | — | 2 | 1 | no | — |
| 781 | C22×C8 | — | 2 | 1 | no | — |
| 782 | C22×C8 | — | 4 | 4 | no | — |
| 783 | C22×C8 | — | 4 | 8 | no | — |
| 784 | C22×C8 | — | 4 | 8 | no | — |
| 785 | C22×C8 | — | 4 | 4 | no | — |
| 786 | C22×C8 | — | 8 | 8 | no | — |
| 787 | C22×C8 | — | 8 | 8 | no | — |
| 788 | C22×C8 | — | 8 | 4 | no | — |
| 789 | C22×C8 | — | 8 | 4 | no | — |
| 790 | C22×C8 | — | 8 | 4 | no | — |
| 791 | C22×C8 | — | 8 | 4 | no | — |
| 792 | C22×C8 | — | 16 | 4 | no | — |
| 793 | C22×C8 | D4×D8 | 1 | 4 | yes | — |
| 794 | C22×C8 | C23×D8 | 1 | 2 | yes | — |
| 795 | C22×C8 | C2×#576 | 1 | 2 | yes | — |
| 796 | #127 | — | 4 | 8 | no | — |
| 797 | #127 | — | 8 | 8 | no | — |
| 798 | #127 | — | 8 | 4 | no | — |
| 799 | #121 | — | 8 | 32 | no | — |
| 800 | #121 | — | 16 | 16 | no | — |
| 801 | #120 | — | 16 | 16 | no | — |
| 802 | #120 | — | 16 | 16 | no | — |
| 803 | C4×D4 | — | 2 | 8 | no | — |
| 804 | C4×D4 | — | 2 | 8 | no | — |
| 805 | C4×D4 | — | 4 | 16 | no | — |
| 806 | C4×D4 | — | 4 | 4 | no | — |
| 807 | C4×D4 | — | 4 | 4 | no | — |
| 808 | C4×D4 | — | 8 | 8 | no | — |
| 809 | C4×D4 | — | 16 | 16 | no | — |
| 810 | C4×D4 | — | 16 | 16 | no | — |
| 811 | C4×D4 | — | 16 | 16 | no | — |
| 812 | C4×D4 | — | 16 | 16 | no | — |
| 813 | C4×D4 | — | 32 | 8 | no | — |
| 814 | C4×D4 | — | 32 | 32 | no | — |
| 815 | C4×D4 | — | 32 | 8 | no | — |
| 816 | C4×D4 | — | 32 | 8 | no | — |
| 817 | C4×D4 | — | 32 | 32 | no | — |
| 818 | C2×C4⋊C4 | — | 2 | 4 | no | — |
| 819 | C2×C4⋊C4 | — | 2 | 8 | no | — |
| 820 | C2×C4⋊C4 | — | 8 | 8 | no | — |
| 821 | C2×C4⋊C4 | — | 8 | 4 | no | — |
| 822 | C2×C4⋊C4 | — | 16 | 16 | no | — |
| 823 | C2×C4⋊C4 | — | 16 | 8 | no | — |
| 824 | C2×C4⋊C4 | — | 32 | 8 | no | — |
| 825 | C2×C22⋊C4 | — | 4 | 4 | no | — |
| 826 | C2×C22⋊C4 | — | 4 | 8 | no | — |
| 827 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 828 | C2×C22⋊C4 | — | 16 | 8 | no | — |
| 829 | C2×C22⋊C4 | — | 16 | 8 | no | — |
| 830 | C2×C22⋊C4 | — | 16 | 8 | no | — |
| 831 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 832 | C2×C22⋊C4 | — | 16 | 4 | no | — |
| 833 | C2×C22⋊C4 | — | 32 | 32 | no | — |
| 834 | C2×C42 | — | 4 | 4 | no | — |
| 835 | C2×C42 | — | 4 | 8 | no | — |
| 836 | C2×C42 | — | 8 | 8 | no | — |
| 837 | C2×C42 | — | 8 | 8 | no | — |
| 838 | C2×C42 | D4×D8 | 1 | 4 | yes | — |
| 839 | C2×C42 | #3292 | 1 | 2 | yes | — |
| 840 | C2×C42 | C2×D42 | 1 | 1 | yes | characteristic |
| 841 | D16 | — | 8 | 64 | no | — |
| 842 | D16 | — | 8 | 32 | no | — |
| 843 | D16 | — | 16 | 16 | no | — |
| 844 | D16 | — | 16 | 32 | no | — |
| 845 | D16 | — | 16 | 32 | no | — |
| 846 | D16 | #2177 | 1 | 32 | yes | complemented |
| 847 | C2×C16 | — | 2 | 4 | no | — |
| 848 | C2×C16 | — | 2 | 8 | no | — |
| 849 | C2×C16 | — | 2 | 8 | no | — |
| 850 | C2×C16 | — | 2 | 4 | no | — |
| 851 | C2×C16 | — | 2 | 4 | no | — |
| 852 | C2×C16 | — | 2 | 4 | no | — |
| 853 | C2×C16 | — | 2 | 4 | no | — |
| 854 | C2×C16 | — | 2 | 4 | no | — |
| 855 | C2×C16 | — | 4 | 2 | no | — |
| 856 | C2×C16 | — | 4 | 4 | no | — |
| 857 | C2×C16 | — | 4 | 4 | no | — |
| 858 | C2×C16 | — | 4 | 8 | no | — |
| 859 | C2×C16 | — | 4 | 2 | no | — |
| 860 | C2×C16 | — | 8 | 4 | no | — |
| 861 | C2×C16 | — | 8 | 4 | no | — |
| 862 | C2×C16 | — | 8 | 32 | no | — |
| 863 | C2×C16 | — | 8 | 4 | no | — |
| 864 | C2×C16 | — | 8 | 4 | no | — |
| 865 | C2×C16 | — | 8 | 4 | no | — |
| 866 | C2×C16 | — | 16 | 16 | no | — |
| 867 | C2×C16 | C2×C4×D8 | 1 | 4 | yes | — |
| 868 | C2×C16 | C2×C4×D8 | 1 | 4 | yes | — |
| 869 | C2×C16 | C2×#509 | 1 | 8 | yes | — |
| 870 | #107 | — | 2 | 4 | no | — |
| 871 | #107 | — | 2 | 8 | no | — |
| 872 | #107 | — | 2 | 8 | no | — |
| 873 | #107 | — | 8 | 8 | no | — |
| 874 | #107 | — | 8 | 8 | no | — |
| 875 | #107 | — | 16 | 16 | no | — |
| 876 | #107 | — | 16 | 8 | no | — |
| 877 | #107 | — | 16 | 8 | no | — |
| 878 | #107 | C2×C4×D8 | 1 | 8 | yes | — |
| 879 | C4⋊C8 | — | 2 | 8 | no | — |
| 880 | C4⋊C8 | — | 4 | 4 | no | — |
| 881 | C4⋊C8 | — | 4 | 4 | no | — |
| 882 | C4⋊C8 | — | 4 | 4 | no | — |
| 883 | #102 | — | 2 | 8 | no | — |
| 884 | #102 | — | 2 | 8 | no | — |
| 885 | #102 | — | 4 | 16 | no | — |
| 886 | #102 | — | 8 | 32 | no | — |
| 887 | #102 | — | 16 | 16 | no | — |
| 888 | #102 | — | 16 | 16 | no | — |
| 889 | #102 | — | 16 | 16 | no | — |
| 890 | #102 | — | 32 | 8 | no | — |
| 891 | #102 | — | 32 | 8 | no | — |
| 892 | #102 | — | 32 | 8 | no | — |
| 893 | C22⋊C8 | — | 4 | 8 | no | — |
| 894 | C22⋊C8 | — | 4 | 8 | no | — |
| 895 | C22⋊C8 | — | 8 | 8 | no | — |
| 896 | C4×C8 | — | 2 | 4 | no | — |
| 897 | C4×C8 | — | 2 | 4 | no | — |
| 898 | C4×C8 | — | 2 | 2 | no | — |
| 899 | C4×C8 | — | 2 | 2 | no | — |
| 900 | C4×C8 | — | 2 | 1 | no | — |
| 901 | C4×C8 | — | 2 | 2 | no | — |
| 902 | C4×C8 | — | 4 | 4 | no | — |
| 903 | C4×C8 | — | 4 | 4 | no | — |
| 904 | C4×C8 | — | 8 | 8 | no | — |
| 905 | C4×C8 | — | 8 | 8 | no | — |
| 906 | C4×C8 | — | 8 | 4 | no | — |
| 907 | C4×C8 | — | 8 | 4 | no | — |
| 908 | C4×C8 | C22×C4×D4 | 1 | 2 | yes | — |
| 909 | C4×C8 | C4×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 910 | C4×C8 | D4×#41 | 1 | 2 | yes | — |
| 911 | C4×C8 | #3481 | 1 | 1 | yes | characteristic |
| 912 | C4×C8 | C22×#135 | 1 | 2 | yes | — |
| 913 | C4×C8 | #3584 | 1 | 2 | yes | — |
| 914 | #95 | — | 4 | 4 | no | — |
| 915 | #95 | — | 4 | 8 | no | — |
| 916 | #95 | — | 16 | 8 | no | — |
| 917 | C24 | — | 4 | 4 | no | — |
| 918 | C24 | — | 16 | 16 | no | — |
| 919 | C24 | — | 16 | 4 | no | — |
| 920 | C24 | — | 32 | 16 | no | — |
| 921 | C24 | — | 32 | 16 | no | — |
| 922 | C24 | — | 64 | 4 | no | — |
| 923 | C24 | — | 64 | 4 | no | — |
| 924 | C2×D4 | — | 2 | 8 | no | — |
| 925 | C2×D4 | — | 2 | 16 | no | — |
| 926 | C2×D4 | — | 4 | 4 | no | — |
| 927 | C2×D4 | — | 4 | 8 | no | — |
| 928 | C2×D4 | — | 8 | 16 | no | — |
| 929 | C2×D4 | — | 8 | 8 | no | — |
| 930 | C2×D4 | — | 16 | 32 | no | — |
| 931 | C2×D4 | — | 16 | 64 | no | — |
| 932 | C2×D4 | — | 16 | 8 | no | — |
| 933 | C2×D4 | — | 16 | 4 | no | — |
| 934 | C2×D4 | — | 16 | 8 | no | — |
| 935 | C2×D4 | — | 16 | 8 | no | — |
| 936 | C2×D4 | — | 16 | 8 | no | — |
| 937 | C2×D4 | — | 16 | 8 | no | — |
| 938 | C2×D4 | — | 32 | 4 | no | — |
| 939 | C2×D4 | — | 32 | 4 | no | — |
| 940 | C2×D4 | — | 32 | 32 | no | — |
| 941 | C2×D4 | — | 32 | 32 | no | — |
| 942 | C2×D4 | — | 32 | 32 | no | — |
| 943 | C2×D4 | — | 32 | 16 | no | — |
| 944 | C2×D4 | — | 32 | 16 | no | — |
| 945 | C22×C4 | — | 4 | 4 | no | — |
| 946 | C22×C4 | — | 4 | 8 | no | — |
| 947 | C22×C4 | — | 4 | 8 | no | — |
| 948 | C22×C4 | — | 4 | 8 | no | — |
| 949 | C22×C4 | — | 8 | 16 | no | — |
| 950 | C22×C4 | — | 8 | 16 | no | — |
| 951 | C22×C4 | — | 8 | 4 | no | — |
| 952 | C22×C4 | — | 8 | 4 | no | — |
| 953 | C22×C4 | — | 8 | 4 | no | — |
| 954 | C22×C4 | — | 8 | 4 | no | — |
| 955 | C22×C4 | — | 16 | 8 | no | — |
| 956 | C22×C4 | — | 16 | 4 | no | — |
| 957 | C22×C4 | — | 32 | 16 | no | — |
| 958 | C22×C4 | — | 32 | 8 | no | — |
| 959 | C22×C4 | — | 32 | 16 | no | — |
| 960 | C22×C4 | — | 32 | 16 | no | — |
| 961 | C22×C4 | — | 32 | 16 | no | — |
| 962 | C22×C4 | — | 64 | 4 | no | — |
| 963 | C22×C4 | — | 64 | 8 | no | — |
| 964 | C22×C4 | — | 64 | 64 | no | — |
| 965 | C22×C4 | D82 | 1 | 4 | yes | — |
| 966 | C22×C4 | C2×D4×D8 | 1 | 2 | yes | — |
| 967 | C22×C4 | C2×#3292 | 1 | 1 | yes | characteristic |
| 968 | D8 | — | 2 | 16 | no | — |
| 969 | D8 | — | 2 | 8 | no | — |
| 970 | D8 | — | 8 | 16 | no | — |
| 971 | D8 | — | 8 | 16 | no | — |
| 972 | D8 | — | 16 | 16 | no | — |
| 973 | D8 | — | 16 | 16 | no | — |
| 974 | D8 | — | 16 | 64 | no | — |
| 975 | D8 | — | 16 | 8 | no | — |
| 976 | D8 | — | 16 | 8 | no | — |
| 977 | D8 | — | 32 | 8 | no | — |
| 978 | D8 | — | 32 | 8 | no | — |
| 979 | D8 | C2×#2177 | 1 | 16 | yes | complemented |
| 980 | C2×C8 | — | 2 | 4 | no | — |
| 981 | C2×C8 | — | 2 | 4 | no | — |
| 982 | C2×C8 | — | 2 | 1 | no | — |
| 983 | C2×C8 | — | 2 | 1 | no | — |
| 984 | C2×C8 | — | 2 | 4 | no | — |
| 985 | C2×C8 | — | 2 | 4 | no | — |
| 986 | C2×C8 | — | 2 | 4 | no | — |
| 987 | C2×C8 | — | 4 | 2 | no | — |
| 988 | C2×C8 | — | 4 | 1 | no | — |
| 989 | C2×C8 | — | 4 | 8 | no | — |
| 990 | C2×C8 | — | 8 | 4 | no | — |
| 991 | C2×C8 | — | 8 | 4 | no | — |
| 992 | C2×C8 | — | 8 | 8 | no | — |
| 993 | C2×C8 | — | 8 | 8 | no | — |
| 994 | C2×C8 | — | 8 | 8 | no | — |
| 995 | C2×C8 | — | 8 | 8 | no | — |
| 996 | C2×C8 | — | 8 | 4 | no | — |
| 997 | C2×C8 | — | 8 | 4 | no | — |
| 998 | C2×C8 | — | 8 | 4 | no | — |
| 999 | C2×C8 | — | 16 | 16 | no | — |
| 1000 | C2×C8 | C22×C4×D8 | 1 | 2 | yes | — |
| 1001 | C2×C8 | C4×#576 | 1 | 2 | yes | — |
| 1002 | C2×C8 | D8×#41 | 1 | 2 | yes | — |
| 1003 | C2×C8 | #61431 | 1 | 2 | yes | — |
| 1004 | C2×C8 | C22×#509 | 1 | 4 | yes | — |
| 1005 | C2×C8 | #62636 | 1 | 4 | yes | — |
| 1006 | C4⋊C4 | — | 2 | 8 | no | — |
| 1007 | C4⋊C4 | — | 4 | 4 | no | — |
| 1008 | C4⋊C4 | — | 4 | 8 | no | — |
| 1009 | C4⋊C4 | — | 4 | 8 | no | — |
| 1010 | C4⋊C4 | — | 16 | 8 | no | — |
| 1011 | C4⋊C4 | — | 16 | 8 | no | — |
| 1012 | C4⋊C4 | — | 32 | 4 | no | — |
| 1013 | C4⋊C4 | — | 32 | 16 | no | — |
| 1014 | C22⋊C4 | — | 4 | 8 | no | — |
| 1015 | C22⋊C4 | — | 4 | 8 | no | — |
| 1016 | C22⋊C4 | — | 8 | 16 | no | — |
| 1017 | C22⋊C4 | — | 16 | 16 | no | — |
| 1018 | C22⋊C4 | — | 32 | 16 | no | — |
| 1019 | C22⋊C4 | — | 32 | 16 | no | — |
| 1020 | C22⋊C4 | — | 32 | 16 | no | — |
| 1021 | C22⋊C4 | — | 64 | 4 | no | — |
| 1022 | C22⋊C4 | — | 64 | 4 | no | — |
| 1023 | C42 | — | 2 | 4 | no | — |
| 1024 | C42 | — | 2 | 4 | no | — |
| 1025 | C42 | — | 4 | 2 | no | — |
| 1026 | C42 | — | 8 | 16 | no | — |
| 1027 | C42 | — | 8 | 4 | no | — |
| 1028 | C42 | — | 8 | 4 | no | — |
| 1029 | C42 | C4×D42 | 1 | 1 | yes | characteristic |
| 1030 | C42 | D4×#135 | 1 | 2 | yes | — |
| 1031 | C42 | #61105 | 1 | 1 | yes | characteristic |
| 1032 | C16 | — | 2 | 8 | no | — |
| 1033 | C16 | — | 2 | 8 | no | — |
| 1034 | C16 | — | 2 | 4 | no | — |
| 1035 | C16 | — | 4 | 4 | no | — |
| 1036 | C16 | — | 8 | 2 | no | — |
| 1037 | C16 | — | 8 | 2 | no | — |
| 1038 | C16 | — | 8 | 8 | no | — |
| 1039 | C16 | — | 16 | 4 | no | — |
| 1040 | C16 | C2×#2177 | 1 | 8 | yes | complemented |
| 1041 | C23 | — | 4 | 16 | no | — |
| 1042 | C23 | — | 4 | 8 | no | — |
| 1043 | C23 | — | 8 | 4 | no | — |
| 1044 | C23 | — | 8 | 4 | no | — |
| 1045 | C23 | — | 8 | 8 | no | — |
| 1046 | C23 | — | 16 | 8 | no | — |
| 1047 | C23 | — | 32 | 64 | no | — |
| 1048 | C23 | — | 32 | 8 | no | — |
| 1049 | C23 | — | 32 | 8 | no | — |
| 1050 | C23 | — | 32 | 4 | no | — |
| 1051 | C23 | — | 32 | 4 | no | — |
| 1052 | C23 | — | 64 | 16 | no | — |
| 1053 | C23 | — | 64 | 16 | no | — |
| 1054 | C23 | — | 64 | 32 | no | — |
| 1055 | C23 | — | 64 | 16 | no | — |
| 1056 | C23 | C2×D82 | 1 | 1 | yes | characteristic |
| 1057 | D4 | — | 2 | 16 | no | — |
| 1058 | D4 | — | 4 | 8 | no | — |
| 1059 | D4 | — | 4 | 16 | no | — |
| 1060 | D4 | — | 16 | 16 | no | — |
| 1061 | D4 | — | 16 | 16 | no | — |
| 1062 | D4 | — | 32 | 8 | no | — |
| 1063 | D4 | — | 32 | 64 | no | — |
| 1064 | D4 | — | 32 | 8 | no | — |
| 1065 | D4 | — | 32 | 8 | no | — |
| 1066 | D4 | — | 64 | 4 | no | — |
| 1067 | C2×C4 | — | 2 | 2 | no | — |
| 1068 | C2×C4 | — | 2 | 8 | no | — |
| 1069 | C2×C4 | — | 2 | 4 | no | — |
| 1070 | C2×C4 | — | 4 | 8 | no | — |
| 1071 | C2×C4 | — | 8 | 4 | no | — |
| 1072 | C2×C4 | — | 8 | 4 | no | — |
| 1073 | C2×C4 | — | 8 | 8 | no | — |
| 1074 | C2×C4 | — | 8 | 8 | no | — |
| 1075 | C2×C4 | — | 8 | 8 | no | — |
| 1076 | C2×C4 | — | 8 | 8 | no | — |
| 1077 | C2×C4 | — | 8 | 8 | no | — |
| 1078 | C2×C4 | — | 8 | 8 | no | — |
| 1079 | C2×C4 | — | 8 | 8 | no | — |
| 1080 | C2×C4 | — | 16 | 32 | no | — |
| 1081 | C2×C4 | — | 32 | 8 | no | — |
| 1082 | C2×C4 | — | 32 | 4 | no | — |
| 1083 | C2×C4 | — | 64 | 16 | no | — |
| 1084 | C2×C4 | — | 64 | 16 | no | — |
| 1085 | C2×C4 | — | 64 | 32 | no | — |
| 1086 | C2×C4 | D8×#135 | 1 | 2 | yes | — |
| 1087 | C2×C4 | #6358420 | 1 | 1 | yes | characteristic |
| 1088 | C2×C4 | C4×D4×D8 | 1 | 2 | yes | — |
| 1089 | C2×C4 | C4×#3292 | 1 | 1 | yes | characteristic |
| 1090 | C2×C4 | D4×#509 | 1 | 4 | yes | — |
| 1091 | C2×C4 | #7623665 | 1 | 4 | yes | — |
| 1092 | C8 | — | 2 | 2 | no | — |
| 1093 | C8 | — | 2 | 2 | no | — |
| 1094 | C8 | — | 2 | 2 | no | — |
| 1095 | C8 | — | 2 | 2 | no | — |
| 1096 | C8 | — | 4 | 4 | no | — |
| 1097 | C8 | — | 8 | 1 | no | — |
| 1098 | C8 | — | 8 | 8 | no | — |
| 1099 | C8 | — | 16 | 4 | no | — |
| 1100 | C8 | C22×#2177 | 1 | 2 | yes | — |
| 1101 | C8 | #7622620 | 1 | 2 | yes | — |
| 1102 | C8 | #7624074 | 1 | 4 | yes | — |
| 1103 | C22 | — | 4 | 16 | no | — |
| 1104 | C22 | — | 8 | 8 | no | — |
| 1105 | C22 | — | 8 | 8 | no | — |
| 1106 | C22 | — | 8 | 16 | no | — |
| 1107 | C22 | — | 8 | 16 | no | — |
| 1108 | C22 | — | 32 | 16 | no | — |
| 1109 | C22 | — | 32 | 8 | no | — |
| 1110 | C22 | — | 64 | 64 | no | — |
| 1111 | C22 | — | 64 | 4 | no | — |
| 1112 | C22 | — | 64 | 8 | no | — |
| 1113 | C22 | — | 64 | 4 | no | — |
| 1114 | C22 | #72214134 | 1 | 2 | yes | — |
| 1115 | C22 | C4×D82 | 1 | 1 | yes | characteristic |
| 1116 | C22 | D8×#509 | 1 | 4 | yes | — |
| 1117 | C4 | — | 2 | 1 | no | — |
| 1118 | C4 | — | 2 | 1 | no | — |
| 1119 | C4 | — | 4 | 4 | no | — |
| 1120 | C4 | — | 8 | 8 | no | — |
| 1121 | C4 | — | 16 | 8 | no | — |
| 1122 | C4 | — | 64 | 4 | no | — |
| 1123 | C4 | #72216402 | 1 | 2 | yes | — |
| 1124 | C4 | D4×#2177 | 1 | 2 | yes | — |
| 1125 | C4 | #72226906 | 1 | 4 | yes | — |
| 1126 | C2 | — | 8 | 16 | no | — |
| 1127 | C2 | — | 64 | 8 | no | — |
| 1128 | C2 | #72216420 | 1 | 1 | yes | characteristic |
| 1129 | C2 | D8×#2177 | 1 | 2 | yes | — |
| 1130 | C2 | #72226972 | 1 | 4 | yes | — |
| subgroup | G/H | |
|---|---|---|
| center, socle | C23 | C2×D82 |
| commutator | C82 | C24×C4 |
| Frattini, cosocle | C2×C82 | C25 |
| prime radical | C2×D162 | C2 |
| LCS | G ▷ C82 ▷ C42 ▷ C22 ▷ C1 | |
| UCS | C1 ◁ C23 ◁ C43 ◁ C4×C82 ◁ G | |
| LECS | G ▷ C2×C82 ▷ C42 ▷ C22 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72226957 | C2 | semidirect |
| 2. #72226949 | C2 | semidirect |
| 3. #72226935 | C2 | semidirect |
| 4. #72226926 | C22 | semidirect |
| 5. #72226923 | C2 | semidirect |
| 6. #72226914 | C22 | semidirect |
| 7. D8×#2177 | C2 | semidirect |
| 12. #72226877 | C22 | semidirect |
| 13. D8×#357 | C22 | semidirect |
| 14. #72226857 | C2 | semidirect |
| 15. #72226853 | C22 | semidirect |
| 16. #72226848 | C22 | semidirect |
| 17. #72226836 | C2 | semidirect |
| 18. #72226833 | C22 | semidirect |
| 19. D8×#367 | C22 | semidirect |
| 20. #72225600 | C22 | semidirect |
| 23. D162 | C4 | semidirect |
| 27. #72225392 | C2 | semidirect |
| 28. #72225386 | C22 | semidirect |
| 29. #72225384 | C22 | semidirect |
| 30. D8×#346 | C22 | semidirect |
| 31. #72225377 | C22 | semidirect |
| 32. #72225375 | C22 | semidirect |
| 34. #72225365 | C22 | semidirect |
| 36. #72225218 | C2 | semidirect |
| 38. #72225202 | C22 | semidirect |
| 39. #72225198 | C22 | semidirect |
| 40. #72225193 | C22 | semidirect |
| 41. #72225188 | C22 | semidirect |
| 42. #72225182 | C22 | semidirect |
| 45. #72216562 | C22 | semidirect |
| 46. #72216536 | C22 | semidirect |
| 47. C4×D82 | C22 | semidirect |
| 48. #72216276 | C22 | semidirect |
| 49. #72216199 | C2 | semidirect |
| 50. #72216197 | C22 | semidirect |
| 51. #72216196 | C22 | semidirect |
| 52. #72216196 | C22 | semidirect |
| 54. #72216182 | C22 | semidirect |
| 55. #72216165 | C22 | semidirect |
| 56. #72216165 | C22 | semidirect |
| 78. D8×D16 | C2×C4 | semidirect |
| 136. #123403 | C2×C4 | semidirect |
| 137. #123363 | C2×C4 | semidirect |
| 138. #123275 | C2×C4 | semidirect |
| 140. C16×D16 | C2×C4 | semidirect |
| 199. D82 | C22×C4 | semidirect |
| 248. #12515 | C22×C4 | semidirect |
| 249. #12515 | C22×C4 | semidirect |
| 252. #12424 | C22×C4 | semidirect |
| 260. C16×D8 | C22×C4 | semidirect |
| 308. #7100 | C22×C4 | semidirect |
| 310. #7096 | C22×C4 | semidirect |
| 312. #7068 | C22×C4 | semidirect |
| 315. C162 | C22×C4 | semidirect |
| 846. D16 | #2177 | semidirect |
| 979. D8 | C2×#2177 | semidirect |
| 1040. C16 | C2×#2177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72226957 | 2 |
| #72226949 | 2 |
| #72226935 | 2 |
| #72226923 | 2 |
| D8×#2177 | 2 |
| #72226857 | 2 |
| #72226836 | 2 |
| C2×D162 | 2 |
| #72225392 | 2 |
| #72225218 | 2 |
| #72216199 | 2 |