Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1706 conjugacy classes of subgroups.
The subgroup lattice has 894 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86927 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C3×#3389 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #83629 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #81974 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #81971 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #81932 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | D3×#499 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #81170 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81167 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #81157 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #81157 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #80968 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #80958 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79987 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #79958 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #79868 | C2 | 1 | 2 | yes | maximal |
| 17 | #79856 | C2 | 1 | 2 | yes | maximal, complemented |
| 18 | C4×#912 | C2 | 1 | 1 | yes | maximal, characteristic |
| 19 | #79577 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #61375 | — | 3 | 1 | no | maximal, Sylow |
| 21 | C3×#554 | C22 | 1 | 2 | yes | — |
| 22 | C2×#912 | C22 | 1 | 1 | yes | characteristic |
| 23 | #5729 | C22 | 1 | 2 | yes | — |
| 24 | #5721 | C22 | 1 | 2 | yes | — |
| 25 | #5689 | C22 | 1 | 2 | yes | — |
| 26 | D3×#125 | C22 | 1 | 2 | yes | — |
| 27 | #5685 | C22 | 1 | 2 | yes | — |
| 28 | #5685 | C22 | 1 | 2 | yes | — |
| 29 | #5636 | — | 2 | 2 | no | — |
| 30 | #5636 | — | 2 | 2 | no | — |
| 31 | #5635 | — | 2 | 2 | no | — |
| 32 | #5623 | — | 2 | 2 | no | — |
| 33 | #5623 | — | 2 | 2 | no | — |
| 34 | #5622 | — | 2 | 2 | no | — |
| 35 | #5578 | C22 | 1 | 1 | yes | characteristic |
| 36 | #5567 | C22 | 1 | 2 | yes | — |
| 37 | #5546 | C22 | 1 | 2 | yes | — |
| 38 | #5546 | C22 | 1 | 2 | yes | — |
| 39 | #5543 | C22 | 1 | 2 | yes | — |
| 40 | #5539 | C22 | 1 | 2 | yes | — |
| 41 | #5539 | C22 | 1 | 2 | yes | — |
| 42 | C4×#237 | C22 | 1 | 2 | yes | — |
| 43 | #5511 | — | 2 | 2 | no | — |
| 44 | C2×#889 | — | 2 | 2 | no | — |
| 45 | C3×#501 | C22 | 1 | 2 | yes | — |
| 46 | C3×#499 | C22 | 1 | 1 | yes | characteristic |
| 47 | C3×#478 | C22 | 1 | 2 | yes | — |
| 48 | C3×#478 | C22 | 1 | 2 | yes | — |
| 49 | C3×#474 | C22 | 1 | 2 | yes | — |
| 50 | C3×#446 | C22 | 1 | 1 | yes | characteristic |
| 51 | C3×#442 | C22 | 1 | 2 | yes | — |
| 52 | C3×C4×D8 | C22 | 1 | 1 | yes | characteristic |
| 53 | #5152 | C22 | 1 | 2 | yes | — |
| 54 | Dic3×D8 | C22 | 1 | 1 | yes | characteristic |
| 55 | #5091 | C22 | 1 | 2 | yes | — |
| 56 | #5080 | C22 | 1 | 2 | yes | — |
| 57 | #5065 | C22 | 1 | 2 | yes | — |
| 58 | #5065 | C22 | 1 | 2 | yes | — |
| 59 | #5063 | C22 | 1 | 2 | yes | — |
| 60 | #5063 | C22 | 1 | 2 | yes | — |
| 61 | Q8×C3⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 62 | C4×#214 | C22 | 1 | 2 | yes | — |
| 63 | C4×#214 | C22 | 1 | 2 | yes | — |
| 64 | C4×#214 | C22 | 1 | 2 | yes | — |
| 65 | #5009 | C22 | 1 | 2 | yes | — |
| 66 | #5009 | C22 | 1 | 2 | yes | — |
| 67 | #5007 | C22 | 1 | 2 | yes | — |
| 68 | #4881 | C22 | 1 | 2 | yes | — |
| 69 | #4880 | C22 | 1 | 1 | yes | characteristic |
| 70 | D3×#107 | C22 | 1 | 1 | yes | characteristic |
| 71 | D3×#107 | C22 | 1 | 1 | yes | characteristic |
| 72 | #4878 | C22 | 1 | 1 | yes | characteristic |
| 73 | #4878 | C22 | 1 | 2 | yes | — |
| 74 | #4878 | C22 | 1 | 1 | yes | characteristic |
| 75 | #4877 | C22 | 1 | 2 | yes | — |
| 76 | #4877 | C22 | 1 | 2 | yes | — |
| 77 | #4876 | C22 | 1 | 2 | yes | — |
| 78 | #4875 | C22 | 1 | 2 | yes | — |
| 79 | #4875 | C22 | 1 | 2 | yes | — |
| 80 | #4873 | C22 | 1 | 1 | yes | characteristic |
| 81 | #4861 | C22 | 1 | 2 | yes | — |
| 82 | D3×#106 | C22 | 1 | 2 | yes | — |
| 83 | #4858 | C22 | 1 | 2 | yes | — |
| 84 | #4857 | C22 | 1 | 2 | yes | — |
| 85 | #4857 | C22 | 1 | 2 | yes | — |
| 86 | #4856 | C22 | 1 | 2 | yes | — |
| 87 | #4855 | C22 | 1 | 2 | yes | — |
| 88 | #4853 | C22 | 1 | 2 | yes | — |
| 89 | #4850 | C22 | 1 | 2 | yes | — |
| 90 | #4839 | C22 | 1 | 2 | yes | — |
| 91 | #4837 | C22 | 1 | 1 | yes | characteristic |
| 92 | #4830 | C22 | 1 | 1 | yes | characteristic |
| 93 | #4830 | C22 | 1 | 2 | yes | — |
| 94 | #4829 | C22 | 1 | 2 | yes | — |
| 95 | #4829 | C22 | 1 | 2 | yes | — |
| 96 | #4772 | C22 | 1 | 2 | yes | — |
| 97 | #4771 | C22 | 1 | 2 | yes | — |
| 98 | #4771 | C22 | 1 | 2 | yes | — |
| 99 | #4766 | C22 | 1 | 2 | yes | — |
| 100 | #4766 | C22 | 1 | 2 | yes | — |
| 101 | #4763 | C22 | 1 | 2 | yes | — |
| 102 | #4763 | C22 | 1 | 2 | yes | — |
| 103 | #4759 | C22 | 1 | 2 | yes | — |
| 104 | #4759 | C22 | 1 | 2 | yes | — |
| 105 | #4758 | C22 | 1 | 2 | yes | — |
| 106 | #4758 | C22 | 1 | 2 | yes | — |
| 107 | #4758 | C22 | 1 | 2 | yes | — |
| 108 | #4716 | C22 | 1 | 2 | yes | — |
| 109 | #4708 | C22 | 1 | 2 | yes | — |
| 110 | #4702 | C22 | 1 | 2 | yes | — |
| 111 | #4701 | C22 | 1 | 2 | yes | — |
| 112 | C4×Dic12 | C22 | 1 | 1 | yes | characteristic |
| 113 | C4×D3×C8 | C22 | 1 | 1 | yes | characteristic |
| 114 | #4683 | C22 | 1 | 1 | yes | characteristic |
| 115 | #4679 | C22 | 1 | 1 | yes | characteristic |
| 116 | #3504 | — | 3 | 2 | no | — |
| 117 | #3390 | — | 3 | 2 | no | — |
| 118 | #3390 | — | 3 | 1 | no | — |
| 119 | #3390 | — | 3 | 1 | no | — |
| 120 | #3389 | — | 3 | 2 | no | — |
| 121 | #3389 | — | 3 | 1 | no | — |
| 122 | #3389 | D3 | 1 | 1 | yes | characteristic, complemented |
| 123 | #3381 | — | 3 | 2 | no | — |
| 124 | #3381 | — | 3 | 2 | no | — |
| 125 | #3381 | — | 3 | 2 | no | — |
| 126 | #3381 | — | 3 | 2 | no | — |
| 127 | #3163 | — | 3 | 2 | no | — |
| 128 | C2×#499 | — | 3 | 1 | no | — |
| 129 | #3083 | — | 3 | 2 | no | — |
| 130 | #3083 | — | 3 | 2 | no | — |
| 131 | #3080 | — | 3 | 2 | no | — |
| 132 | #2960 | — | 3 | 1 | no | — |
| 133 | #2952 | — | 3 | 2 | no | — |
| 134 | C4×#135 | — | 3 | 1 | no | — |
| 135 | C2×#237 | C23 | 1 | 2 | yes | — |
| 136 | C2×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 137 | C3×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 138 | C3×#125 | C23 | 1 | 2 | yes | — |
| 139 | C3×#125 | C23 | 1 | 2 | yes | — |
| 140 | C3×C22⋊Q8 | — | 2 | 2 | no | — |
| 141 | C3×C22⋊Q8 | — | 2 | 2 | no | — |
| 142 | C3×C22⋊Q8 | — | 2 | 2 | no | — |
| 143 | C3×C4×Q8 | C23 | 1 | 1 | yes | characteristic |
| 144 | C3×C4×D4 | C23 | 1 | 2 | yes | — |
| 145 | C3×C4×D4 | C23 | 1 | 2 | yes | — |
| 146 | C3×C4×D4 | C23 | 1 | 2 | yes | — |
| 147 | C2×C3×C4⋊C4 | — | 2 | 2 | no | — |
| 148 | #946 | — | 2 | 2 | no | — |
| 149 | #946 | D4 | 1 | 1 | yes | characteristic |
| 150 | Q8×Dic3 | — | 2 | 2 | no | — |
| 151 | #944 | — | 2 | 2 | no | — |
| 152 | #944 | — | 2 | 2 | no | — |
| 153 | #944 | — | 2 | 2 | no | — |
| 154 | #944 | D4 | 1 | 1 | yes | characteristic |
| 155 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 156 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 157 | D4×Dic3 | C23 | 1 | 2 | yes | — |
| 158 | C2×#214 | C23 | 1 | 2 | yes | — |
| 159 | C4×#67 | — | 2 | 2 | no | — |
| 160 | C4×#67 | — | 2 | 2 | no | — |
| 161 | C4×#67 | — | 2 | 2 | no | — |
| 162 | C2×C4⋊Dic3 | — | 2 | 2 | no | — |
| 163 | #924 | — | 2 | 2 | no | — |
| 164 | #924 | — | 2 | 2 | no | — |
| 165 | #924 | — | 2 | 2 | no | — |
| 166 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 167 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 168 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 169 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 170 | C2×C4×Dic3 | — | 2 | 2 | no | — |
| 171 | #912 | Q8 | 1 | 8 | yes | complemented |
| 172 | C2×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 173 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 174 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 175 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 176 | #897 | — | 2 | 2 | no | — |
| 177 | #897 | D4 | 1 | 1 | yes | characteristic |
| 178 | #896 | — | 2 | 2 | no | — |
| 179 | #896 | — | 2 | 2 | no | — |
| 180 | #896 | D4 | 1 | 2 | yes | — |
| 181 | #892 | C23 | 1 | 2 | yes | — |
| 182 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 183 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 184 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 185 | D3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 186 | #890 | C23 | 1 | 2 | yes | — |
| 187 | #890 | C23 | 1 | 2 | yes | — |
| 188 | #890 | C23 | 1 | 2 | yes | — |
| 189 | #890 | C23 | 1 | 2 | yes | — |
| 190 | #889 | — | 2 | 2 | no | — |
| 191 | #889 | — | 2 | 2 | no | — |
| 192 | #889 | — | 2 | 2 | no | — |
| 193 | #889 | — | 2 | 2 | no | — |
| 194 | #889 | — | 2 | 2 | no | — |
| 195 | #889 | — | 2 | 2 | no | — |
| 196 | #889 | — | 2 | 2 | no | — |
| 197 | #889 | — | 2 | 2 | no | — |
| 198 | #889 | — | 2 | 2 | no | — |
| 199 | #889 | — | 2 | 2 | no | — |
| 200 | #889 | — | 2 | 2 | no | — |
| 201 | #889 | — | 2 | 2 | no | — |
| 202 | #889 | D4 | 1 | 2 | yes | — |
| 203 | #888 | — | 2 | 2 | no | — |
| 204 | #888 | — | 2 | 2 | no | — |
| 205 | #888 | — | 2 | 2 | no | — |
| 206 | #888 | D4 | 1 | 1 | yes | characteristic |
| 207 | #888 | C23 | 1 | 2 | yes | — |
| 208 | #888 | C23 | 1 | 2 | yes | — |
| 209 | #887 | — | 2 | 2 | no | — |
| 210 | #887 | — | 2 | 2 | no | — |
| 211 | #887 | — | 2 | 2 | no | — |
| 212 | #887 | C23 | 1 | 2 | yes | — |
| 213 | #887 | C23 | 1 | 2 | yes | — |
| 214 | #887 | C23 | 1 | 2 | yes | — |
| 215 | #67⋊C4 | — | 2 | 2 | no | — |
| 216 | #67⋊C4 | — | 2 | 2 | no | — |
| 217 | #67⋊C4 | — | 2 | 2 | no | — |
| 218 | #878 | — | 2 | 2 | no | — |
| 219 | #878 | — | 2 | 2 | no | — |
| 220 | #878 | — | 2 | 2 | no | — |
| 221 | #878 | — | 2 | 2 | no | — |
| 222 | #878 | — | 2 | 2 | no | — |
| 223 | #878 | — | 2 | 2 | no | — |
| 224 | #877 | — | 2 | 2 | no | — |
| 225 | #877 | — | 2 | 2 | no | — |
| 226 | #877 | — | 2 | 2 | no | — |
| 227 | #872 | C23 | 1 | 2 | yes | — |
| 228 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 229 | #870 | C23 | 1 | 2 | yes | — |
| 230 | #870 | C23 | 1 | 2 | yes | — |
| 231 | #869 | C23 | 1 | 2 | yes | — |
| 232 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 233 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 234 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 235 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 236 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 237 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 238 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 239 | C3×#107 | C23 | 1 | 2 | yes | — |
| 240 | C3×#107 | C23 | 1 | 1 | yes | characteristic |
| 241 | C3×#106 | C23 | 1 | 2 | yes | — |
| 242 | C3×#106 | C23 | 1 | 2 | yes | — |
| 243 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 244 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 245 | C3×#102 | C23 | 1 | 2 | yes | — |
| 246 | C3×#102 | C23 | 1 | 2 | yes | — |
| 247 | C3×#102 | C23 | 1 | 2 | yes | — |
| 248 | C3×#97 | C23 | 1 | 2 | yes | — |
| 249 | C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 250 | #832 | C23 | 1 | 2 | yes | — |
| 251 | #832 | C23 | 1 | 2 | yes | — |
| 252 | #832 | C23 | 1 | 2 | yes | — |
| 253 | #818 | C23 | 1 | 1 | yes | characteristic |
| 254 | #818 | C23 | 1 | 1 | yes | characteristic |
| 255 | #818 | C23 | 1 | 2 | yes | — |
| 256 | #818 | C23 | 1 | 1 | yes | characteristic |
| 257 | #817 | C23 | 1 | 2 | yes | — |
| 258 | #817 | C23 | 1 | 2 | yes | — |
| 259 | #816 | C23 | 1 | 2 | yes | — |
| 260 | #816 | C23 | 1 | 2 | yes | — |
| 261 | #816 | C23 | 1 | 2 | yes | — |
| 262 | #815 | C23 | 1 | 2 | yes | — |
| 263 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 264 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 265 | Dic3⋊C8 | C23 | 1 | 2 | yes | — |
| 266 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 267 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 268 | C8×Dic3 | C23 | 1 | 2 | yes | — |
| 269 | #810 | C23 | 1 | 2 | yes | — |
| 270 | #810 | C23 | 1 | 2 | yes | — |
| 271 | #810 | C23 | 1 | 2 | yes | — |
| 272 | #808 | C23 | 1 | 2 | yes | — |
| 273 | #808 | C23 | 1 | 2 | yes | — |
| 274 | #808 | C23 | 1 | 2 | yes | — |
| 275 | #808 | C23 | 1 | 2 | yes | — |
| 276 | #808 | C23 | 1 | 2 | yes | — |
| 277 | #807 | C23 | 1 | 2 | yes | — |
| 278 | #807 | C23 | 1 | 2 | yes | — |
| 279 | #807 | C23 | 1 | 2 | yes | — |
| 280 | #807 | C23 | 1 | 2 | yes | — |
| 281 | C4⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 282 | C4⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 283 | C4×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 284 | C4×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 285 | C2×#135 | — | 3 | 1 | no | — |
| 286 | #557 | — | 3 | 2 | no | — |
| 287 | #557 | — | 3 | 2 | no | — |
| 288 | #557 | — | 3 | 2 | no | — |
| 289 | #557 | — | 3 | 2 | no | — |
| 290 | #554 | — | 3 | 2 | no | — |
| 291 | #554 | — | 3 | 2 | no | — |
| 292 | #554 | — | 3 | 2 | no | — |
| 293 | #554 | — | 6 | 2 | no | — |
| 294 | #554 | — | 6 | 2 | no | — |
| 295 | #554 | — | 6 | 2 | no | — |
| 296 | #554 | — | 6 | 2 | no | — |
| 297 | #554 | C2×D3 | 1 | 2 | yes | — |
| 298 | #544 | — | 3 | 2 | no | — |
| 299 | #544 | — | 3 | 2 | no | — |
| 300 | #544 | — | 6 | 2 | no | — |
| 301 | #544 | — | 6 | 2 | no | — |
| 302 | #533 | — | 3 | 1 | no | — |
| 303 | #533 | — | 6 | 2 | no | — |
| 304 | C2×#125 | — | 3 | 2 | no | — |
| 305 | C2×#125 | — | 6 | 2 | no | — |
| 306 | #520 | — | 3 | 2 | no | — |
| 307 | #520 | — | 3 | 2 | no | — |
| 308 | C4×#41 | — | 3 | 2 | no | — |
| 309 | #501 | — | 3 | 2 | no | — |
| 310 | #501 | — | 3 | 2 | no | — |
| 311 | #501 | — | 3 | 2 | no | — |
| 312 | #501 | C2×D3 | 1 | 2 | yes | — |
| 313 | #499 | — | 3 | 2 | no | — |
| 314 | #499 | — | 3 | 2 | no | — |
| 315 | #499 | — | 3 | 1 | no | — |
| 316 | #499 | — | 3 | 1 | no | — |
| 317 | #499 | — | 3 | 2 | no | — |
| 318 | #499 | — | 3 | 2 | no | — |
| 319 | #499 | — | 3 | 1 | no | — |
| 320 | #499 | C2×D3 | 1 | 1 | yes | characteristic |
| 321 | #498 | — | 3 | 2 | no | — |
| 322 | #498 | — | 3 | 2 | no | — |
| 323 | #479 | — | 3 | 2 | no | — |
| 324 | #479 | — | 3 | 2 | no | — |
| 325 | #479 | — | 3 | 2 | no | — |
| 326 | #479 | — | 3 | 2 | no | — |
| 327 | #479 | — | 3 | 2 | no | — |
| 328 | #479 | — | 3 | 2 | no | — |
| 329 | #479 | — | 3 | 2 | no | — |
| 330 | #479 | — | 3 | 2 | no | — |
| 331 | #478 | — | 3 | 2 | no | — |
| 332 | #478 | — | 3 | 2 | no | — |
| 333 | #478 | — | 3 | 2 | no | — |
| 334 | #478 | — | 3 | 2 | no | — |
| 335 | #478 | — | 3 | 2 | no | — |
| 336 | #478 | — | 3 | 2 | no | — |
| 337 | #478 | C2×D3 | 1 | 2 | yes | — |
| 338 | #478 | C2×D3 | 1 | 2 | yes | — |
| 339 | #477 | — | 3 | 2 | no | — |
| 340 | #477 | — | 3 | 2 | no | — |
| 341 | #477 | — | 3 | 2 | no | — |
| 342 | #477 | — | 3 | 2 | no | — |
| 343 | #474 | — | 3 | 2 | no | — |
| 344 | #474 | — | 3 | 2 | no | — |
| 345 | #474 | — | 3 | 2 | no | — |
| 346 | #474 | C2×D3 | 1 | 2 | yes | — |
| 347 | #446 | — | 3 | 2 | no | — |
| 348 | #446 | — | 3 | 1 | no | — |
| 349 | #446 | C2×D3 | 1 | 1 | yes | characteristic |
| 350 | C8×Q8 | — | 3 | 1 | no | — |
| 351 | C8×Q8 | — | 3 | 2 | no | — |
| 352 | C8×Q8 | — | 3 | 1 | no | — |
| 353 | #442 | — | 3 | 2 | no | — |
| 354 | #442 | C2×D3 | 1 | 2 | yes | — |
| 355 | #441 | — | 3 | 2 | no | — |
| 356 | #441 | — | 3 | 2 | no | — |
| 357 | C4×Q16 | — | 3 | 1 | no | — |
| 358 | C4×Q16 | — | 3 | 1 | no | — |
| 359 | C4×SD16 | — | 3 | 2 | no | — |
| 360 | C4×SD16 | — | 3 | 2 | no | — |
| 361 | C4×SD16 | — | 3 | 2 | no | — |
| 362 | C4×SD16 | — | 3 | 2 | no | — |
| 363 | C4×SD16 | — | 3 | 2 | no | — |
| 364 | C4×SD16 | — | 3 | 2 | no | — |
| 365 | C4×D8 | — | 3 | 1 | no | — |
| 366 | C4×D8 | C2×D3 | 1 | 1 | yes | characteristic |
| 367 | #428 | — | 3 | 2 | no | — |
| 368 | #428 | — | 3 | 2 | no | — |
| 369 | #427 | — | 3 | 1 | no | — |
| 370 | C2×#107 | — | 3 | 1 | no | — |
| 371 | C2×#107 | — | 3 | 1 | no | — |
| 372 | C2×#106 | — | 3 | 2 | no | — |
| 373 | #424 | — | 3 | 2 | no | — |
| 374 | #423 | — | 3 | 1 | no | — |
| 375 | #417 | — | 3 | 2 | no | — |
| 376 | #417 | — | 3 | 2 | no | — |
| 377 | #416 | — | 3 | 2 | no | — |
| 378 | #405 | — | 3 | 2 | no | — |
| 379 | C2×C4×C8 | — | 3 | 1 | no | — |
| 380 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 381 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 382 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 383 | C22×C3×C4 | — | 2 | 2 | no | — |
| 384 | C22×C3×C4 | — | 2 | 2 | no | — |
| 385 | C22×C3×C4 | — | 2 | 2 | no | — |
| 386 | C2×#67 | — | 2 | 2 | no | — |
| 387 | C22×Dic3 | — | 2 | 2 | no | — |
| 388 | C22×Dic3 | — | 2 | 2 | no | — |
| 389 | C22×Dic3 | — | 2 | 2 | no | — |
| 390 | C22×Dic3 | — | 2 | 2 | no | — |
| 391 | #237 | — | 2 | 4 | no | — |
| 392 | #237 | C2×Q8 | 1 | 8 | yes | — |
| 393 | C2×C4×D3 | — | 2 | 2 | no | — |
| 394 | C2×C4×D3 | — | 2 | 2 | no | — |
| 395 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 396 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 397 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 398 | C2×Dic6 | — | 2 | 2 | no | — |
| 399 | C2×Dic6 | — | 2 | 2 | no | — |
| 400 | C2×Dic6 | — | 2 | 2 | no | — |
| 401 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 402 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 403 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 404 | C3×D8 | C2×Q8 | 1 | 4 | yes | — |
| 405 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 406 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 407 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 408 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 409 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 410 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 411 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 412 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 413 | C3×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 414 | C3×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 415 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 416 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 417 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 418 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 419 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 420 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 421 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 422 | C3×C42 | C24 | 1 | 2 | yes | — |
| 423 | #217 | — | 2 | 2 | no | — |
| 424 | #217 | — | 2 | 2 | no | — |
| 425 | #217 | — | 2 | 2 | no | — |
| 426 | #214 | C2×Q8 | 1 | 8 | yes | — |
| 427 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 428 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 429 | (C2×D3)⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 430 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 431 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 432 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 433 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 434 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 435 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 436 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 437 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 438 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 439 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 440 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 441 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 442 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 443 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 444 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 445 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 446 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 447 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 448 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 449 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 450 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 451 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 452 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 453 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 454 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 455 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 456 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 457 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 458 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 459 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 460 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 461 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 462 | Dic3⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 463 | C4×Dic3 | — | 2 | 2 | no | — |
| 464 | C4×Dic3 | — | 2 | 2 | no | — |
| 465 | C4×Dic3 | — | 2 | 2 | no | — |
| 466 | C4×Dic3 | — | 2 | 2 | no | — |
| 467 | C4×Dic3 | — | 2 | 2 | no | — |
| 468 | C4×Dic3 | — | 2 | 2 | no | — |
| 469 | C4×Dic3 | — | 2 | 2 | no | — |
| 470 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 471 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 472 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 473 | C4×Dic3 | C24 | 1 | 2 | yes | — |
| 474 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 475 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 476 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 477 | Dic12 | C2×Q8 | 1 | 4 | yes | — |
| 478 | ΓL(1,𝔽25) | — | 2 | 4 | no | — |
| 479 | D3×C8 | — | 2 | 2 | no | — |
| 480 | D3×C8 | C2×Q8 | 1 | 4 | yes | — |
| 481 | C2×#41 | — | 3 | 2 | no | — |
| 482 | #135 | — | 3 | 8 | no | — |
| 483 | C2×Q16 | — | 3 | 1 | no | — |
| 484 | C2×SD16 | — | 3 | 2 | no | — |
| 485 | C2×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 486 | C2×M16 | — | 3 | 2 | no | — |
| 487 | C22×C8 | — | 3 | 1 | no | — |
| 488 | C22×C8 | — | 3 | 1 | no | — |
| 489 | C4⋊Q8 | — | 3 | 1 | no | — |
| 490 | C4⋊Q8 | — | 3 | 1 | no | — |
| 491 | C4⋊Q8 | — | 3 | 2 | no | — |
| 492 | C4⋊Q8 | — | 3 | 2 | no | — |
| 493 | C4⋊Q8 | — | 3 | 2 | no | — |
| 494 | C4⋊Q8 | — | 6 | 2 | no | — |
| 495 | C4⋊Q8 | — | 6 | 2 | no | — |
| 496 | C4⋊Q8 | — | 6 | 2 | no | — |
| 497 | C4⋊Q8 | — | 6 | 2 | no | — |
| 498 | C4⋊Q8 | — | 6 | 2 | no | — |
| 499 | C4⋊Q8 | — | 6 | 2 | no | — |
| 500 | C4⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 501 | #125 | — | 3 | 2 | no | — |
| 502 | #125 | — | 3 | 2 | no | — |
| 503 | #125 | — | 3 | 2 | no | — |
| 504 | #125 | — | 3 | 2 | no | — |
| 505 | #125 | — | 3 | 2 | no | — |
| 506 | #125 | — | 3 | 2 | no | — |
| 507 | #125 | — | 3 | 2 | no | — |
| 508 | #125 | — | 6 | 2 | no | — |
| 509 | #125 | — | 6 | 2 | no | — |
| 510 | #125 | — | 6 | 2 | no | — |
| 511 | #125 | — | 6 | 2 | no | — |
| 512 | #125 | — | 6 | 2 | no | — |
| 513 | #125 | — | 6 | 2 | no | — |
| 514 | #125 | — | 6 | 2 | no | — |
| 515 | #125 | — | 6 | 2 | no | — |
| 516 | #125 | — | 6 | 2 | no | — |
| 517 | #125 | — | 6 | 2 | no | — |
| 518 | #125 | — | 6 | 2 | no | — |
| 519 | #125 | — | 6 | 2 | no | — |
| 520 | #125 | C22×D3 | 1 | 2 | yes | — |
| 521 | #125 | C22×D3 | 1 | 2 | yes | — |
| 522 | C22⋊Q8 | — | 2 | 2 | no | — |
| 523 | C22⋊Q8 | — | 2 | 2 | no | — |
| 524 | C22⋊Q8 | — | 2 | 2 | no | — |
| 525 | C22⋊Q8 | — | 3 | 1 | no | — |
| 526 | C22⋊Q8 | — | 3 | 2 | no | — |
| 527 | C22⋊Q8 | — | 3 | 1 | no | — |
| 528 | C22⋊Q8 | — | 6 | 2 | no | — |
| 529 | C22⋊Q8 | — | 6 | 2 | no | — |
| 530 | C22⋊Q8 | — | 6 | 2 | no | — |
| 531 | C22⋊Q8 | — | 6 | 2 | no | — |
| 532 | C22⋊Q8 | — | 6 | 2 | no | — |
| 533 | C22⋊Q8 | — | 6 | 2 | no | — |
| 534 | C22⋊Q8 | — | 6 | 2 | no | — |
| 535 | C22⋊Q8 | — | 6 | 2 | no | — |
| 536 | C22⋊Q8 | — | 6 | 2 | no | — |
| 537 | C22⋊Q8 | — | 6 | 2 | no | — |
| 538 | C22⋊Q8 | — | 6 | 2 | no | — |
| 539 | C22⋊Q8 | — | 6 | 2 | no | — |
| 540 | C22⋊Q8 | — | 6 | 2 | no | — |
| 541 | C4×Q8 | — | 3 | 2 | no | — |
| 542 | C4×Q8 | — | 3 | 1 | no | — |
| 543 | C4×Q8 | — | 3 | 2 | no | — |
| 544 | C4×Q8 | — | 3 | 2 | no | — |
| 545 | C4×Q8 | — | 3 | 2 | no | — |
| 546 | C4×Q8 | — | 3 | 2 | no | — |
| 547 | C4×Q8 | — | 3 | 2 | no | — |
| 548 | C4×Q8 | — | 3 | 2 | no | — |
| 549 | C4×Q8 | — | 6 | 2 | no | — |
| 550 | C4×Q8 | — | 6 | 2 | no | — |
| 551 | C4×Q8 | — | 6 | 2 | no | — |
| 552 | C4×Q8 | — | 6 | 2 | no | — |
| 553 | C4×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 554 | C4×D4 | — | 3 | 2 | no | — |
| 555 | C4×D4 | — | 3 | 2 | no | — |
| 556 | C4×D4 | — | 3 | 2 | no | — |
| 557 | C4×D4 | — | 6 | 2 | no | — |
| 558 | C4×D4 | — | 6 | 2 | no | — |
| 559 | C4×D4 | — | 6 | 2 | no | — |
| 560 | C4×D4 | — | 6 | 2 | no | — |
| 561 | C4×D4 | — | 6 | 2 | no | — |
| 562 | C4×D4 | — | 6 | 2 | no | — |
| 563 | C4×D4 | C22×D3 | 1 | 2 | yes | — |
| 564 | C4×D4 | C22×D3 | 1 | 2 | yes | — |
| 565 | C4×D4 | C22×D3 | 1 | 2 | yes | — |
| 566 | #117 | — | 3 | 2 | no | — |
| 567 | #117 | — | 3 | 2 | no | — |
| 568 | #117 | — | 6 | 2 | no | — |
| 569 | #117 | — | 6 | 2 | no | — |
| 570 | #117 | — | 6 | 2 | no | — |
| 571 | C2×C4⋊C4 | — | 2 | 2 | no | — |
| 572 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 573 | C2×C4⋊C4 | — | 3 | 2 | no | — |
| 574 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 575 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 576 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 577 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 578 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 579 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 580 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 581 | C2×C42 | — | 3 | 1 | no | — |
| 582 | C2×C42 | — | 6 | 2 | no | — |
| 583 | #107 | — | 3 | 1 | no | — |
| 584 | #107 | — | 3 | 1 | no | — |
| 585 | #107 | — | 3 | 1 | no | — |
| 586 | #107 | — | 3 | 2 | no | — |
| 587 | #107 | — | 3 | 2 | no | — |
| 588 | #107 | — | 3 | 2 | no | — |
| 589 | #107 | — | 3 | 2 | no | — |
| 590 | #107 | — | 3 | 2 | no | — |
| 591 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 592 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 593 | #107 | C22×D3 | 1 | 1 | yes | characteristic |
| 594 | #107 | C22×D3 | 1 | 2 | yes | — |
| 595 | #106 | — | 3 | 2 | no | — |
| 596 | #106 | — | 3 | 2 | no | — |
| 597 | #106 | — | 3 | 2 | no | — |
| 598 | #106 | — | 3 | 2 | no | — |
| 599 | #106 | — | 3 | 2 | no | — |
| 600 | #106 | — | 3 | 2 | no | — |
| 601 | #106 | — | 3 | 2 | no | — |
| 602 | #106 | C22×D3 | 1 | 2 | yes | — |
| 603 | #106 | C22×D3 | 1 | 2 | yes | — |
| 604 | C4⋊C8 | — | 3 | 2 | no | — |
| 605 | C4⋊C8 | — | 3 | 2 | no | — |
| 606 | C4⋊C8 | — | 3 | 2 | no | — |
| 607 | C4⋊C8 | — | 3 | 1 | no | — |
| 608 | C4⋊C8 | — | 3 | 2 | no | — |
| 609 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 610 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 611 | #103 | — | 3 | 2 | no | — |
| 612 | #103 | — | 3 | 2 | no | — |
| 613 | #103 | — | 3 | 2 | no | — |
| 614 | #103 | — | 3 | 2 | no | — |
| 615 | #103 | — | 3 | 2 | no | — |
| 616 | #103 | — | 3 | 2 | no | — |
| 617 | #102 | — | 3 | 2 | no | — |
| 618 | #102 | — | 3 | 2 | no | — |
| 619 | #102 | — | 3 | 2 | no | — |
| 620 | #102 | C22×D3 | 1 | 2 | yes | — |
| 621 | #102 | C22×D3 | 1 | 2 | yes | — |
| 622 | #102 | C22×D3 | 1 | 2 | yes | — |
| 623 | #97 | — | 3 | 2 | no | — |
| 624 | #97 | C22×D3 | 1 | 2 | yes | — |
| 625 | C4×C8 | — | 3 | 1 | no | — |
| 626 | C4×C8 | — | 3 | 1 | no | — |
| 627 | C4×C8 | — | 3 | 2 | no | — |
| 628 | C4×C8 | — | 3 | 1 | no | — |
| 629 | C4×C8 | — | 3 | 2 | no | — |
| 630 | C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 631 | C23×C3 | — | 2 | 2 | no | — |
| 632 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 633 | C3×Q8 | — | 4 | 1 | no | — |
| 634 | C3×Q8 | — | 8 | 2 | no | — |
| 635 | C3×D4 | — | 2 | 2 | no | — |
| 636 | C3×D4 | C22×Q8 | 1 | 4 | yes | — |
| 637 | C2×C3×C4 | — | 2 | 2 | no | — |
| 638 | C2×C3×C4 | — | 2 | 2 | no | — |
| 639 | C2×C3×C4 | — | 2 | 2 | no | — |
| 640 | C2×C3×C4 | — | 8 | 2 | no | — |
| 641 | C2×C3×C4 | — | 8 | 2 | no | — |
| 642 | C2×C3×C4 | — | 8 | 2 | no | — |
| 643 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 644 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 645 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 646 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 647 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 648 | #67 | — | 2 | 8 | no | — |
| 649 | C2×Dic3 | — | 2 | 2 | no | — |
| 650 | C2×Dic3 | — | 2 | 8 | no | — |
| 651 | C2×Dic3 | — | 2 | 2 | no | — |
| 652 | C2×Dic3 | — | 2 | 2 | no | — |
| 653 | C2×Dic3 | — | 2 | 2 | no | — |
| 654 | C2×Dic3 | — | 8 | 2 | no | — |
| 655 | C2×Dic3 | — | 8 | 2 | no | — |
| 656 | C2×Dic3 | — | 8 | 2 | no | — |
| 657 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 658 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 659 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 660 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 661 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 662 | C4×D3 | — | 4 | 1 | no | — |
| 663 | C4×D3 | — | 4 | 1 | no | — |
| 664 | C4×D3 | — | 8 | 2 | no | — |
| 665 | C4×D3 | — | 8 | 2 | no | — |
| 666 | C4×D3 | C22×Q8 | 1 | 2 | yes | — |
| 667 | C4×D3 | 2−1+4 | 1 | 2 | yes | — |
| 668 | Dic6 | — | 2 | 2 | no | — |
| 669 | Dic6 | — | 4 | 2 | no | — |
| 670 | Dic6 | — | 4 | 1 | no | — |
| 671 | Dic6 | — | 8 | 2 | no | — |
| 672 | Dic6 | — | 8 | 2 | no | — |
| 673 | Dic6 | — | 8 | 2 | no | — |
| 674 | Dic6 | C22×Q8 | 1 | 4 | yes | — |
| 675 | C3×C8 | — | 2 | 1 | no | — |
| 676 | C3×C8 | — | 2 | 2 | no | — |
| 677 | C3×C8 | C22×Q8 | 1 | 2 | yes | — |
| 678 | C3⋊C8 | — | 2 | 1 | no | — |
| 679 | C3⋊C8 | — | 2 | 2 | no | — |
| 680 | C3⋊C8 | C22×Q8 | 1 | 2 | yes | — |
| 681 | #41 | — | 3 | 8 | no | — |
| 682 | #41 | — | 6 | 4 | no | — |
| 683 | C2×Q8 | — | 2 | 2 | no | — |
| 684 | C2×Q8 | — | 3 | 2 | no | — |
| 685 | C2×Q8 | — | 3 | 1 | no | — |
| 686 | C2×Q8 | — | 3 | 2 | no | — |
| 687 | C2×Q8 | — | 6 | 2 | no | — |
| 688 | C2×Q8 | — | 6 | 2 | no | — |
| 689 | C2×Q8 | — | 6 | 2 | no | — |
| 690 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 691 | C2×D4 | — | 6 | 2 | no | — |
| 692 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 693 | C22×C4 | — | 2 | 2 | no | — |
| 694 | C22×C4 | — | 2 | 2 | no | — |
| 695 | C22×C4 | — | 2 | 2 | no | — |
| 696 | C22×C4 | — | 3 | 1 | no | — |
| 697 | C22×C4 | — | 3 | 1 | no | — |
| 698 | C22×C4 | — | 3 | 1 | no | — |
| 699 | C22×C4 | — | 6 | 2 | no | — |
| 700 | C22×C4 | — | 6 | 2 | no | — |
| 701 | C22×C4 | — | 6 | 2 | no | — |
| 702 | C22×C4 | — | 6 | 2 | no | — |
| 703 | C22×C4 | — | 6 | 2 | no | — |
| 704 | C22×C4 | — | 6 | 2 | no | — |
| 705 | Q16 | — | 3 | 4 | no | — |
| 706 | SD16 | — | 3 | 8 | no | — |
| 707 | D8 | D3×Q8 | 1 | 4 | yes | — |
| 708 | M16 | — | 6 | 4 | no | — |
| 709 | C2×C8 | — | 3 | 1 | no | — |
| 710 | C2×C8 | — | 3 | 4 | no | — |
| 711 | C2×C8 | — | 3 | 1 | no | — |
| 712 | C2×C8 | — | 3 | 2 | no | — |
| 713 | C2×C8 | — | 6 | 2 | no | — |
| 714 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 715 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 716 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 717 | C4⋊C4 | — | 2 | 2 | no | — |
| 718 | C4⋊C4 | — | 2 | 2 | no | — |
| 719 | C4⋊C4 | — | 2 | 2 | no | — |
| 720 | C4⋊C4 | — | 2 | 2 | no | — |
| 721 | C4⋊C4 | — | 2 | 2 | no | — |
| 722 | C4⋊C4 | — | 3 | 2 | no | — |
| 723 | C4⋊C4 | — | 3 | 2 | no | — |
| 724 | C4⋊C4 | — | 3 | 2 | no | — |
| 725 | C4⋊C4 | — | 3 | 2 | no | — |
| 726 | C4⋊C4 | — | 3 | 2 | no | — |
| 727 | C4⋊C4 | — | 3 | 2 | no | — |
| 728 | C4⋊C4 | — | 3 | 1 | no | — |
| 729 | C4⋊C4 | — | 3 | 2 | no | — |
| 730 | C4⋊C4 | — | 3 | 2 | no | — |
| 731 | C4⋊C4 | — | 3 | 2 | no | — |
| 732 | C4⋊C4 | — | 6 | 2 | no | — |
| 733 | C4⋊C4 | — | 6 | 2 | no | — |
| 734 | C4⋊C4 | — | 6 | 2 | no | — |
| 735 | C4⋊C4 | — | 6 | 2 | no | — |
| 736 | C4⋊C4 | — | 6 | 2 | no | — |
| 737 | C4⋊C4 | — | 6 | 2 | no | — |
| 738 | C4⋊C4 | — | 6 | 2 | no | — |
| 739 | C4⋊C4 | — | 6 | 2 | no | — |
| 740 | C4⋊C4 | — | 6 | 2 | no | — |
| 741 | C4⋊C4 | — | 6 | 2 | no | — |
| 742 | C4⋊C4 | — | 6 | 2 | no | — |
| 743 | C4⋊C4 | — | 6 | 2 | no | — |
| 744 | C4⋊C4 | — | 6 | 2 | no | — |
| 745 | C4⋊C4 | — | 6 | 2 | no | — |
| 746 | C4⋊C4 | — | 6 | 2 | no | — |
| 747 | C4⋊C4 | — | 6 | 2 | no | — |
| 748 | C4⋊C4 | — | 6 | 2 | no | — |
| 749 | C4⋊C4 | — | 6 | 2 | no | — |
| 750 | C4⋊C4 | — | 6 | 2 | no | — |
| 751 | C4⋊C4 | — | 6 | 2 | no | — |
| 752 | C4⋊C4 | — | 6 | 2 | no | — |
| 753 | C4⋊C4 | — | 6 | 2 | no | — |
| 754 | C4⋊C4 | — | 6 | 2 | no | — |
| 755 | C4⋊C4 | D3×D4 | 1 | 2 | yes | — |
| 756 | C4⋊C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 757 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 758 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 759 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 760 | C22⋊C4 | — | 2 | 2 | no | — |
| 761 | C22⋊C4 | — | 2 | 2 | no | — |
| 762 | C22⋊C4 | — | 2 | 2 | no | — |
| 763 | C22⋊C4 | — | 3 | 2 | no | — |
| 764 | C22⋊C4 | — | 3 | 2 | no | — |
| 765 | C22⋊C4 | — | 6 | 2 | no | — |
| 766 | C22⋊C4 | — | 6 | 2 | no | — |
| 767 | C22⋊C4 | — | 6 | 2 | no | — |
| 768 | C22⋊C4 | — | 6 | 2 | no | — |
| 769 | C42 | — | 3 | 1 | no | — |
| 770 | C42 | — | 3 | 1 | no | — |
| 771 | C42 | — | 3 | 1 | no | — |
| 772 | C42 | — | 3 | 2 | no | — |
| 773 | C42 | — | 6 | 2 | no | — |
| 774 | C42 | — | 6 | 2 | no | — |
| 775 | C42 | — | 6 | 2 | no | — |
| 776 | C42 | — | 6 | 2 | no | — |
| 777 | C42 | — | 6 | 2 | no | — |
| 778 | C42 | — | 6 | 2 | no | — |
| 779 | C42 | — | 6 | 2 | no | — |
| 780 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 781 | C42 | C23×D3 | 1 | 2 | yes | — |
| 782 | C22×C3 | — | 2 | 4 | no | — |
| 783 | C22×C3 | — | 4 | 2 | no | — |
| 784 | C22×C3 | — | 4 | 2 | no | — |
| 785 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 786 | C2×D3 | — | 2 | 1 | no | — |
| 787 | C2×D3 | — | 2 | 1 | no | — |
| 788 | C2×D3 | D4×Q8 | 1 | 2 | yes | — |
| 789 | C3×C4 | — | 2 | 1 | no | — |
| 790 | C3×C4 | — | 2 | 2 | no | — |
| 791 | C3×C4 | — | 2 | 2 | no | — |
| 792 | C3×C4 | — | 2 | 1 | no | — |
| 793 | C3×C4 | — | 4 | 2 | no | — |
| 794 | C3×C4 | — | 4 | 2 | no | — |
| 795 | C3×C4 | — | 4 | 2 | no | — |
| 796 | C3×C4 | C23×Q8 | 1 | 1 | yes | characteristic |
| 797 | C3×C4 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 798 | Dic3 | — | 2 | 1 | no | — |
| 799 | Dic3 | — | 2 | 2 | no | — |
| 800 | Dic3 | — | 2 | 2 | no | — |
| 801 | Dic3 | — | 2 | 1 | no | — |
| 802 | Dic3 | — | 2 | 4 | no | — |
| 803 | Dic3 | — | 4 | 2 | no | — |
| 804 | Dic3 | — | 4 | 2 | no | — |
| 805 | Dic3 | — | 4 | 2 | no | — |
| 806 | Dic3 | D4×Q8 | 1 | 2 | yes | — |
| 807 | C23 | — | 2 | 2 | no | — |
| 808 | C23 | — | 3 | 1 | no | — |
| 809 | Q8 | — | 3 | 4 | no | — |
| 810 | Q8 | — | 4 | 1 | no | — |
| 811 | Q8 | — | 6 | 2 | no | — |
| 812 | Q8 | — | 8 | 2 | no | — |
| 813 | Q8 | — | 12 | 1 | no | — |
| 814 | Q8 | — | 12 | 2 | no | — |
| 815 | Q8 | — | 24 | 2 | no | — |
| 816 | Q8 | — | 24 | 2 | no | — |
| 817 | Q8 | — | 24 | 2 | no | — |
| 818 | D4 | — | 2 | 2 | no | — |
| 819 | D4 | — | 6 | 8 | no | — |
| 820 | D4 | C2×D3×Q8 | 1 | 4 | yes | — |
| 821 | C2×C4 | — | 2 | 2 | no | — |
| 822 | C2×C4 | — | 2 | 2 | no | — |
| 823 | C2×C4 | — | 2 | 2 | no | — |
| 824 | C2×C4 | — | 3 | 1 | no | — |
| 825 | C2×C4 | — | 3 | 2 | no | — |
| 826 | C2×C4 | — | 3 | 2 | no | — |
| 827 | C2×C4 | — | 3 | 1 | no | — |
| 828 | C2×C4 | — | 3 | 1 | no | — |
| 829 | C2×C4 | — | 3 | 2 | no | — |
| 830 | C2×C4 | — | 3 | 2 | no | — |
| 831 | C2×C4 | — | 6 | 8 | no | — |
| 832 | C2×C4 | — | 6 | 2 | no | — |
| 833 | C2×C4 | — | 6 | 2 | no | — |
| 834 | C2×C4 | — | 6 | 2 | no | — |
| 835 | C2×C4 | — | 6 | 2 | no | — |
| 836 | C2×C4 | — | 8 | 2 | no | — |
| 837 | C2×C4 | — | 8 | 2 | no | — |
| 838 | C2×C4 | — | 8 | 2 | no | — |
| 839 | C2×C4 | — | 12 | 1 | no | — |
| 840 | C2×C4 | — | 12 | 1 | no | — |
| 841 | C2×C4 | — | 24 | 2 | no | — |
| 842 | C2×C4 | — | 24 | 2 | no | — |
| 843 | C2×C4 | — | 24 | 2 | no | — |
| 844 | C2×C4 | — | 24 | 2 | no | — |
| 845 | C2×C4 | — | 24 | 2 | no | — |
| 846 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 847 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 848 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 849 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 850 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 851 | C8 | — | 2 | 1 | no | — |
| 852 | C8 | — | 2 | 2 | no | — |
| 853 | C8 | — | 3 | 2 | no | — |
| 854 | C8 | — | 6 | 1 | no | — |
| 855 | C8 | — | 6 | 2 | no | — |
| 856 | C8 | C2×D3×Q8 | 1 | 2 | yes | — |
| 857 | C2×C3 | — | 4 | 4 | no | — |
| 858 | C2×C3 | C2×D4×Q8 | 1 | 1 | yes | characteristic |
| 859 | C2×C3 | #3584 | 1 | 1 | yes | characteristic |
| 860 | C2×C3 | #3584 | 1 | 1 | yes | characteristic |
| 861 | D3 | — | 2 | 2 | no | — |
| 862 | C22 | — | 2 | 4 | no | — |
| 863 | C22 | — | 3 | 2 | no | — |
| 864 | C22 | — | 4 | 2 | no | — |
| 865 | C22 | — | 4 | 2 | no | — |
| 866 | C22 | — | 6 | 1 | no | — |
| 867 | C22 | — | 6 | 1 | no | — |
| 868 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 869 | C4 | — | 2 | 2 | no | — |
| 870 | C4 | — | 2 | 1 | no | — |
| 871 | C4 | — | 2 | 1 | no | — |
| 872 | C4 | — | 2 | 2 | no | — |
| 873 | C4 | — | 3 | 2 | no | — |
| 874 | C4 | — | 4 | 2 | no | — |
| 875 | C4 | — | 4 | 2 | no | — |
| 876 | C4 | — | 4 | 2 | no | — |
| 877 | C4 | — | 6 | 1 | no | — |
| 878 | C4 | — | 6 | 2 | no | — |
| 879 | C4 | — | 6 | 1 | no | — |
| 880 | C4 | — | 6 | 2 | no | — |
| 881 | C4 | — | 6 | 4 | no | — |
| 882 | C4 | — | 12 | 2 | no | — |
| 883 | C4 | — | 12 | 2 | no | — |
| 884 | C4 | — | 12 | 2 | no | — |
| 885 | C4 | C22×D3×Q8 | 1 | 1 | yes | characteristic |
| 886 | C4 | D3×2−1+4 | 1 | 1 | yes | characteristic |
| 887 | C3 | #61375 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 888 | C2 | — | 4 | 4 | no | — |
| 889 | C2 | — | 6 | 2 | no | — |
| 890 | C2 | D3×D4×Q8 | 1 | 1 | yes | characteristic |
| 891 | C2 | #87199 | 1 | 1 | yes | characteristic |
| 892 | C2 | #87203 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86927 | C2 | semidirect |
| 2. C3×#3389 | C2 | semidirect |
| 3. #83629 | C2 | semidirect |
| 4. #81974 | C2 | semidirect |
| 5. #81971 | C2 | semidirect |
| 6. #81932 | C2 | semidirect |
| 7. D3×#499 | C2 | semidirect |
| 8. #81170 | C2 | semidirect |
| 9. #81167 | C2 | semidirect |
| 10. #81157 | C2 | semidirect |
| 11. #81157 | C2 | semidirect |
| 12. #80968 | C2 | semidirect |
| 13. #80958 | C2 | semidirect |
| 14. #79987 | C2 | semidirect |
| 15. #79958 | C2 | semidirect |
| 17. #79856 | C2 | semidirect |
| 19. #79577 | C2 | semidirect |
| 122. #3389 | D3 | semidirect |
| 171. #912 | Q8 | semidirect |
| 887. C3 | #61375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86927 | 2 |
| C3×#3389 | 2 |
| #83629 | 2 |
| #81974 | 2 |
| #81971 | 2 |
| #81932 | 2 |
| D3×#499 | 2 |
| #81170 | 2 |
| #81167 | 2 |
| #81157 | 2 |
| #80968 | 2 |
| #80958 | 2 |
| #79987 | 2 |
| #79958 | 2 |
| #79868 | 2 |
| #79856 | 2 |
| C4×#912 | 2 |
| #79577 | 2 |
| #61375 | 3 |