Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
1564 conjugacy classes of subgroups.
The subgroup lattice has 926 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11665253 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10947847 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #10795559 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10713822 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10713454 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10712662 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10712649 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10712646 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #10710470 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10710460 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C3×#13074 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #495573 | — | 3 | 1 | no | maximal, Sylow |
| 13 | #86314 | — | 2 | 1 | no | — |
| 14 | C3×#3407 | C22 | 1 | 1 | yes | characteristic |
| 15 | C3×#3058 | C22 | 1 | 1 | yes | characteristic |
| 16 | #83830 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#5152 | C22 | 1 | 1 | yes | characteristic |
| 18 | #83800 | C22 | 1 | 1 | yes | characteristic |
| 19 | #83782 | C22 | 1 | 1 | yes | characteristic |
| 20 | #83780 | C22 | 1 | 1 | yes | characteristic |
| 21 | #83379 | — | 2 | 1 | no | — |
| 22 | #80853 | C4 | 1 | 2 | yes | complemented |
| 23 | #80852 | C4 | 1 | 2 | yes | complemented |
| 24 | #80850 | C4 | 1 | 2 | yes | complemented |
| 25 | #80849 | C4 | 1 | 2 | yes | complemented |
| 26 | #80701 | — | 2 | 2 | no | — |
| 27 | #80700 | — | 2 | 2 | no | — |
| 28 | #79172 | C22 | 1 | 1 | yes | characteristic |
| 29 | #79166 | C22 | 1 | 1 | yes | characteristic |
| 30 | #78920 | — | 2 | 1 | no | — |
| 31 | #78914 | — | 2 | 1 | no | — |
| 32 | C3×#2140 | C22 | 1 | 2 | yes | — |
| 33 | C3×#1812 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×#4563 | C22 | 1 | 2 | yes | — |
| 35 | #72014 | C22 | 1 | 1 | yes | characteristic |
| 36 | #71448 | C22 | 1 | 2 | yes | — |
| 37 | #71425 | — | 2 | 2 | no | — |
| 38 | #71425 | C22 | 1 | 2 | yes | — |
| 39 | C2×#4512 | — | 2 | 2 | no | — |
| 40 | C2×#4512 | C22 | 1 | 2 | yes | — |
| 41 | #70660 | C22 | 1 | 2 | yes | — |
| 42 | #70657 | C22 | 1 | 2 | yes | — |
| 43 | #70656 | C22 | 1 | 2 | yes | — |
| 44 | #70040 | — | 2 | 1 | no | — |
| 45 | #70039 | — | 2 | 1 | no | — |
| 46 | #68697 | — | 2 | 1 | no | — |
| 47 | #68696 | — | 2 | 1 | no | — |
| 48 | C3×#1384 | C22 | 1 | 2 | yes | — |
| 49 | #67816 | C22 | 1 | 2 | yes | — |
| 50 | #67727 | C22 | 1 | 2 | yes | — |
| 51 | #67726 | C22 | 1 | 2 | yes | — |
| 52 | #60698 | — | 3 | 1 | no | — |
| 53 | #33329 | — | 3 | 1 | no | — |
| 54 | #20788 | — | 3 | 1 | no | — |
| 55 | #13291 | — | 3 | 2 | no | — |
| 56 | #13215 | — | 3 | 2 | no | — |
| 57 | #13079 | — | 3 | 1 | no | — |
| 58 | #13077 | — | 3 | 1 | no | — |
| 59 | #13076 | — | 3 | 1 | no | — |
| 60 | #13074 | D3 | 1 | 1 | yes | characteristic, complemented |
| 61 | #12649 | — | 3 | 2 | no | — |
| 62 | #12647 | — | 3 | 2 | no | — |
| 63 | C22×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 64 | C2×C3×#131 | C23 | 1 | 1 | yes | characteristic |
| 65 | C3×#535 | — | 2 | 1 | no | — |
| 66 | #5833 | — | 2 | 1 | no | — |
| 67 | Dic3×#41 | D4 | 1 | 1 | yes | characteristic |
| 68 | C2×#948 | D4 | 1 | 1 | yes | characteristic |
| 69 | #5805 | — | 2 | 1 | no | — |
| 70 | C2×D4×Dic3 | — | 2 | 1 | no | — |
| 71 | C2×#932 | — | 2 | 1 | no | — |
| 72 | C2×#904 | C23 | 1 | 1 | yes | characteristic |
| 73 | #5719 | — | 4 | 1 | no | — |
| 74 | #5716 | — | 4 | 1 | no | — |
| 75 | #5682 | — | 4 | 1 | no | — |
| 76 | #5680 | — | 4 | 1 | no | — |
| 77 | #5619 | — | 2 | 2 | no | — |
| 78 | #5603 | — | 2 | 2 | no | — |
| 79 | #5600 | — | 2 | 2 | no | — |
| 80 | #5596 | — | 2 | 2 | no | — |
| 81 | #5593 | — | 4 | 2 | no | — |
| 82 | #5586 | — | 4 | 2 | no | — |
| 83 | #5522 | — | 2 | 1 | no | — |
| 84 | #5519 | — | 2 | 1 | no | — |
| 85 | C3×#504 | — | 2 | 4 | no | — |
| 86 | C2×C3×M32 | — | 2 | 2 | no | — |
| 87 | C2×C3×M32 | C23 | 1 | 2 | yes | — |
| 88 | C3×#469 | C2×C4 | 1 | 2 | yes | — |
| 89 | C3×#469 | C2×C4 | 1 | 2 | yes | — |
| 90 | C3×#466 | — | 2 | 2 | no | — |
| 91 | C3×#427 | C23 | 1 | 2 | yes | — |
| 92 | C3×#427 | C23 | 1 | 1 | yes | characteristic |
| 93 | C3×#418 | — | 2 | 1 | no | — |
| 94 | C3×#410 | — | 2 | 1 | no | — |
| 95 | #5237 | — | 2 | 1 | no | — |
| 96 | C2×#832 | — | 2 | 1 | no | — |
| 97 | #5155 | C2×C4 | 1 | 2 | yes | — |
| 98 | #5154 | — | 2 | 2 | no | — |
| 99 | #5152 | — | 2 | 1 | no | — |
| 100 | #5152 | — | 2 | 1 | no | — |
| 101 | #5152 | C2×C4 | 1 | 2 | yes | — |
| 102 | #5152 | C2×C4 | 1 | 2 | yes | — |
| 103 | #5151 | C2×C4 | 1 | 2 | yes | — |
| 104 | #5140 | — | 2 | 4 | no | — |
| 105 | #5137 | C2×C4 | 1 | 2 | yes | — |
| 106 | #5135 | C2×C4 | 1 | 2 | yes | — |
| 107 | #5133 | — | 2 | 1 | no | — |
| 108 | #5122 | C2×C4 | 1 | 2 | yes | — |
| 109 | #5122 | D4 | 1 | 1 | yes | characteristic |
| 110 | Dic3×M16 | C2×C4 | 1 | 2 | yes | — |
| 111 | Dic3×M16 | D4 | 1 | 1 | yes | characteristic |
| 112 | #5114 | — | 2 | 2 | no | — |
| 113 | C2×#819 | C23 | 1 | 2 | yes | — |
| 114 | C2×#817 | C23 | 1 | 1 | yes | characteristic |
| 115 | #5101 | D4 | 1 | 2 | yes | — |
| 116 | #5101 | C23 | 1 | 1 | yes | characteristic |
| 117 | C2×#815 | D4 | 1 | 2 | yes | — |
| 118 | C2×#815 | C23 | 1 | 1 | yes | characteristic |
| 119 | C2×#812 | — | 2 | 2 | no | — |
| 120 | C2×#812 | C23 | 1 | 2 | yes | — |
| 121 | #5042 | — | 2 | 2 | no | — |
| 122 | #5041 | — | 2 | 2 | no | — |
| 123 | #5039 | — | 2 | 2 | no | — |
| 124 | #5038 | — | 2 | 2 | no | — |
| 125 | #5002 | — | 2 | 1 | no | — |
| 126 | #4997 | — | 2 | 2 | no | — |
| 127 | #4995 | — | 2 | 1 | no | — |
| 128 | #4889 | — | 2 | 1 | no | — |
| 129 | #4889 | — | 2 | 1 | no | — |
| 130 | #4876 | — | 2 | 2 | no | — |
| 131 | #4869 | C2×C4 | 1 | 1 | yes | characteristic |
| 132 | #4869 | C2×C4 | 1 | 1 | yes | characteristic |
| 133 | #4858 | C2×C4 | 1 | 2 | yes | — |
| 134 | #4855 | C2×C4 | 1 | 2 | yes | — |
| 135 | #4853 | C2×C4 | 1 | 1 | yes | characteristic |
| 136 | #4853 | C2×C4 | 1 | 1 | yes | characteristic |
| 137 | #4785 | — | 2 | 2 | no | — |
| 138 | #4768 | — | 2 | 2 | no | — |
| 139 | #4765 | — | 2 | 2 | no | — |
| 140 | #4764 | — | 2 | 2 | no | — |
| 141 | #4760 | — | 2 | 2 | no | — |
| 142 | #4758 | — | 2 | 2 | no | — |
| 143 | #4757 | — | 2 | 2 | no | — |
| 144 | #4756 | — | 2 | 2 | no | — |
| 145 | C3×#357 | — | 2 | 4 | no | — |
| 146 | C3×H(3,ℤ/4) | — | 2 | 1 | no | — |
| 147 | #4563 | — | 2 | 4 | no | — |
| 148 | C3⋊#338 | — | 2 | 1 | no | — |
| 149 | #4533 | — | 2 | 2 | no | — |
| 150 | #4532 | — | 2 | 2 | no | — |
| 151 | #4531 | — | 2 | 2 | no | — |
| 152 | #4512 | — | 2 | 2 | no | — |
| 153 | #4512 | — | 2 | 4 | no | — |
| 154 | #4512 | — | 2 | 2 | no | — |
| 155 | #4510 | — | 2 | 4 | no | — |
| 156 | #4488 | — | 2 | 4 | no | — |
| 157 | #3460 | — | 6 | 1 | no | — |
| 158 | #3407 | — | 3 | 1 | no | — |
| 159 | #3407 | C2×D3 | 1 | 1 | yes | characteristic |
| 160 | #3184 | — | 3 | 2 | no | — |
| 161 | #3183 | — | 3 | 2 | no | — |
| 162 | #3180 | — | 6 | 2 | no | — |
| 163 | #3179 | — | 6 | 2 | no | — |
| 164 | #3176 | — | 3 | 2 | no | — |
| 165 | #3173 | — | 3 | 2 | no | — |
| 166 | #3163 | — | 3 | 1 | no | — |
| 167 | #3155 | — | 3 | 1 | no | — |
| 168 | #3136 | — | 6 | 1 | no | — |
| 169 | #3062 | — | 6 | 1 | no | — |
| 170 | #3060 | — | 3 | 1 | no | — |
| 171 | #3058 | C2×D3 | 1 | 1 | yes | characteristic |
| 172 | C4×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 173 | #2943 | — | 3 | 1 | no | — |
| 174 | C2×#442 | — | 3 | 1 | no | — |
| 175 | #2875 | — | 3 | 1 | no | — |
| 176 | C2×#361 | — | 3 | 2 | no | — |
| 177 | #2145 | — | 3 | 2 | no | — |
| 178 | #2143 | — | 3 | 2 | no | — |
| 179 | #2140 | C2×D3 | 1 | 2 | yes | — |
| 180 | #2110 | — | 3 | 2 | no | — |
| 181 | #2110 | — | 6 | 2 | no | — |
| 182 | C2×#347 | — | 3 | 2 | no | — |
| 183 | C2×#347 | — | 6 | 2 | no | — |
| 184 | #1841 | — | 6 | 1 | no | — |
| 185 | #1833 | — | 3 | 2 | no | — |
| 186 | #1827 | — | 6 | 1 | no | — |
| 187 | #1813 | — | 3 | 1 | no | — |
| 188 | #1812 | C2×D3 | 1 | 1 | yes | characteristic |
| 189 | #1773 | — | 3 | 2 | no | — |
| 190 | #1757 | — | 6 | 1 | no | — |
| 191 | #1747 | — | 6 | 1 | no | — |
| 192 | #1389 | — | 3 | 2 | no | — |
| 193 | #1386 | — | 3 | 2 | no | — |
| 194 | #1384 | C2×D3 | 1 | 2 | yes | — |
| 195 | #1383 | — | 3 | 2 | no | — |
| 196 | C2×C3×#41 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C22×C3×D4 | — | 2 | 1 | no | — |
| 198 | C23×Dic3 | — | 4 | 1 | no | — |
| 199 | C2×#237 | — | 4 | 2 | no | — |
| 200 | C2×#235 | — | 2 | 1 | no | — |
| 201 | C2×C3×D8 | — | 2 | 1 | no | — |
| 202 | C2×C3×D8 | — | 2 | 2 | no | — |
| 203 | C2×C3×D8 | — | 2 | 2 | no | — |
| 204 | C2×C3×D8 | C22×C4 | 1 | 2 | yes | — |
| 205 | C3×#131 | — | 2 | 2 | no | — |
| 206 | C3×#131 | — | 2 | 2 | no | — |
| 207 | C2×C3×M16 | C22×C4 | 1 | 2 | yes | — |
| 208 | C2×C3×M16 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C22×C3×C8 | C2×D4 | 1 | 2 | yes | — |
| 210 | C22×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 211 | C3×#127 | — | 4 | 1 | no | — |
| 212 | C3×#124 | — | 4 | 1 | no | — |
| 213 | C3×#121 | — | 2 | 2 | no | — |
| 214 | C3×#121 | — | 2 | 2 | no | — |
| 215 | C3×#120 | — | 4 | 2 | no | — |
| 216 | C3×#117 | — | 2 | 1 | no | — |
| 217 | C3×#117 | — | 2 | 2 | no | — |
| 218 | #953 | — | 4 | 2 | no | — |
| 219 | C2×#217 | — | 4 | 1 | no | — |
| 220 | #948 | — | 4 | 2 | no | — |
| 221 | #946 | — | 4 | 1 | no | — |
| 222 | Q8×Dic3 | — | 2 | 1 | no | — |
| 223 | #940 | — | 2 | 2 | no | — |
| 224 | #939 | — | 4 | 2 | no | — |
| 225 | #939 | — | 4 | 2 | no | — |
| 226 | #939 | — | 4 | 2 | no | — |
| 227 | #938 | — | 4 | 1 | no | — |
| 228 | #938 | — | 4 | 1 | no | — |
| 229 | #938 | — | 4 | 2 | no | — |
| 230 | #938 | — | 4 | 1 | no | — |
| 231 | #936 | — | 2 | 2 | no | — |
| 232 | #936 | — | 4 | 2 | no | — |
| 233 | #935 | — | 4 | 2 | no | — |
| 234 | #935 | — | 4 | 2 | no | — |
| 235 | D4×Dic3 | — | 2 | 1 | no | — |
| 236 | D4×Dic3 | — | 2 | 2 | no | — |
| 237 | D4×Dic3 | — | 2 | 2 | no | — |
| 238 | D4×Dic3 | — | 2 | 2 | no | — |
| 239 | D4×Dic3 | — | 4 | 1 | no | — |
| 240 | D4×Dic3 | — | 4 | 1 | no | — |
| 241 | D4×Dic3 | — | 4 | 2 | no | — |
| 242 | C2×#214 | — | 2 | 2 | no | — |
| 243 | #932 | — | 4 | 4 | no | — |
| 244 | C2×#213 | — | 2 | 2 | no | — |
| 245 | #930 | — | 2 | 2 | no | — |
| 246 | #926 | C22⋊C4 | 1 | 2 | yes | — |
| 247 | #926 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | C2×C4⋊Dic3 | — | 2 | 1 | no | — |
| 249 | #924 | — | 2 | 2 | no | — |
| 250 | C2×C4×Dic3 | C22⋊C4 | 1 | 2 | yes | — |
| 251 | C2×C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C2×#208 | — | 2 | 2 | no | — |
| 253 | C2×#208 | C22⋊C4 | 1 | 2 | yes | — |
| 254 | C2×#208 | C2×D4 | 1 | 1 | yes | characteristic |
| 255 | C22×C3⋊C8 | C22⋊C4 | 1 | 2 | yes | — |
| 256 | C22×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 257 | C2×Dic12 | C22×C4 | 1 | 1 | yes | characteristic |
| 258 | #904 | — | 2 | 2 | no | — |
| 259 | #904 | — | 2 | 2 | no | — |
| 260 | C2×D24 | C22×C4 | 1 | 1 | yes | characteristic |
| 261 | C2×#204 | — | 2 | 1 | no | — |
| 262 | #893 | — | 2 | 1 | no | — |
| 263 | #893 | — | 2 | 1 | no | — |
| 264 | #890 | — | 2 | 2 | no | — |
| 265 | #888 | — | 2 | 2 | no | — |
| 266 | #887 | — | 2 | 1 | no | — |
| 267 | #887 | — | 2 | 1 | no | — |
| 268 | #886 | — | 4 | 2 | no | — |
| 269 | #885 | — | 4 | 2 | no | — |
| 270 | #883 | — | 4 | 2 | no | — |
| 271 | #67⋊C4 | — | 4 | 2 | no | — |
| 272 | #67⋊C4 | — | 4 | 1 | no | — |
| 273 | #67⋊C4 | — | 4 | 1 | no | — |
| 274 | #879 | — | 4 | 2 | no | — |
| 275 | #879 | — | 4 | 2 | no | — |
| 276 | #878 | — | 4 | 2 | no | — |
| 277 | #878 | — | 4 | 2 | no | — |
| 278 | #877 | — | 4 | 2 | no | — |
| 279 | #872 | — | 4 | 1 | no | — |
| 280 | C42×D3 | — | 4 | 1 | no | — |
| 281 | #870 | — | 4 | 1 | no | — |
| 282 | #869 | — | 4 | 1 | no | — |
| 283 | C3×M32 | — | 2 | 4 | no | — |
| 284 | C3×M32 | — | 2 | 2 | no | — |
| 285 | C3×M32 | — | 2 | 2 | no | — |
| 286 | C2×C3×C16 | — | 2 | 4 | no | — |
| 287 | C2×C3×C16 | #41 | 1 | 4 | yes | complemented |
| 288 | C3×#107 | — | 2 | 1 | no | — |
| 289 | C3×#107 | — | 2 | 2 | no | — |
| 290 | C3×#106 | — | 2 | 2 | no | — |
| 291 | C3×#106 | C22×C4 | 1 | 1 | yes | characteristic |
| 292 | C3×#106 | C22×C4 | 1 | 1 | yes | characteristic |
| 293 | C3×#102 | — | 2 | 2 | no | — |
| 294 | C3×#102 | — | 2 | 2 | no | — |
| 295 | C3×#99 | — | 4 | 2 | no | — |
| 296 | #836 | — | 4 | 1 | no | — |
| 297 | #833 | — | 4 | 1 | no | — |
| 298 | #832 | — | 2 | 2 | no | — |
| 299 | #832 | — | 2 | 2 | no | — |
| 300 | #821 | — | 2 | 2 | no | — |
| 301 | #819 | — | 2 | 2 | no | — |
| 302 | #819 | — | 2 | 2 | no | — |
| 303 | #817 | — | 2 | 1 | no | — |
| 304 | #817 | C22×C4 | 1 | 2 | yes | — |
| 305 | #816 | — | 2 | 2 | no | — |
| 306 | #815 | C22⋊C4 | 1 | 2 | yes | — |
| 307 | #815 | C22⋊C4 | 1 | 2 | yes | — |
| 308 | #815 | C22×C4 | 1 | 1 | yes | characteristic |
| 309 | #815 | C22×C4 | 1 | 1 | yes | characteristic |
| 310 | #815 | C2×D4 | 1 | 2 | yes | — |
| 311 | #815 | C2×D4 | 1 | 1 | yes | characteristic |
| 312 | #815 | C2×D4 | 1 | 1 | yes | characteristic |
| 313 | C8×Dic3 | C22⋊C4 | 1 | 2 | yes | — |
| 314 | C8×Dic3 | C22⋊C4 | 1 | 2 | yes | — |
| 315 | C8×Dic3 | C22×C4 | 1 | 2 | yes | — |
| 316 | #812 | — | 2 | 4 | no | — |
| 317 | #812 | — | 2 | 2 | no | — |
| 318 | #812 | #41 | 1 | 4 | yes | complemented |
| 319 | C2×C3⋊C16 | — | 2 | 4 | no | — |
| 320 | C2×C3⋊C16 | — | 2 | 2 | no | — |
| 321 | #810 | — | 2 | 1 | no | — |
| 322 | #810 | — | 2 | 1 | no | — |
| 323 | #809 | — | 2 | 1 | no | — |
| 324 | #809 | — | 2 | 1 | no | — |
| 325 | #808 | — | 2 | 2 | no | — |
| 326 | #807 | — | 2 | 2 | no | — |
| 327 | #803 | — | 4 | 2 | no | — |
| 328 | C4×C3⋊C8 | — | 4 | 2 | no | — |
| 329 | C2×AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 330 | C2×#135 | — | 3 | 1 | no | — |
| 331 | C22×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 332 | C2×#131 | — | 3 | 1 | no | — |
| 333 | C2×#131 | C22×D3 | 1 | 1 | yes | characteristic |
| 334 | #544 | — | 6 | 1 | no | — |
| 335 | #542 | — | 6 | 2 | no | — |
| 336 | #542 | — | 12 | 1 | no | — |
| 337 | #540 | — | 6 | 2 | no | — |
| 338 | #540 | — | 12 | 1 | no | — |
| 339 | #538 | — | 12 | 2 | no | — |
| 340 | #537 | — | 6 | 1 | no | — |
| 341 | #535 | — | 2 | 1 | no | — |
| 342 | #535 | — | 6 | 1 | no | — |
| 343 | #532 | — | 6 | 2 | no | — |
| 344 | #532 | — | 12 | 1 | no | — |
| 345 | #529 | — | 6 | 2 | no | — |
| 346 | #529 | — | 12 | 1 | no | — |
| 347 | #525 | — | 12 | 2 | no | — |
| 348 | C4×#41 | — | 3 | 1 | no | — |
| 349 | C4×#41 | — | 6 | 1 | no | — |
| 350 | C2×C4×D4 | — | 6 | 1 | no | — |
| 351 | #504 | — | 2 | 4 | no | — |
| 352 | #504 | — | 6 | 4 | no | — |
| 353 | C2×M32 | — | 2 | 2 | no | — |
| 354 | C2×M32 | — | 3 | 2 | no | — |
| 355 | C2×M32 | — | 6 | 2 | no | — |
| 356 | C2×M32 | C22×D3 | 1 | 2 | yes | — |
| 357 | #501 | — | 6 | 2 | no | — |
| 358 | #499 | — | 3 | 2 | no | — |
| 359 | #498 | — | 3 | 2 | no | — |
| 360 | #496 | — | 6 | 2 | no | — |
| 361 | #495 | — | 3 | 2 | no | — |
| 362 | #493 | — | 3 | 2 | no | — |
| 363 | #490 | — | 6 | 2 | no | — |
| 364 | #489 | — | 6 | 2 | no | — |
| 365 | #488 | — | 6 | 2 | no | — |
| 366 | #486 | — | 6 | 2 | no | — |
| 367 | #470 | — | 3 | 2 | no | — |
| 368 | #469 | — | 3 | 2 | no | — |
| 369 | #469 | — | 6 | 2 | no | — |
| 370 | #469 | C4×D3 | 1 | 2 | yes | — |
| 371 | #469 | C4×D3 | 1 | 2 | yes | — |
| 372 | #468 | — | 6 | 2 | no | — |
| 373 | #466 | — | 2 | 2 | no | — |
| 374 | #466 | — | 6 | 2 | no | — |
| 375 | #465 | — | 6 | 2 | no | — |
| 376 | #465 | — | 6 | 2 | no | — |
| 377 | #442 | — | 3 | 2 | no | — |
| 378 | #442 | — | 3 | 2 | no | — |
| 379 | #442 | — | 3 | 1 | no | — |
| 380 | #442 | — | 3 | 1 | no | — |
| 381 | #442 | — | 6 | 2 | no | — |
| 382 | #442 | — | 6 | 1 | no | — |
| 383 | #442 | — | 6 | 1 | no | — |
| 384 | #441 | — | 3 | 1 | no | — |
| 385 | #441 | — | 3 | 1 | no | — |
| 386 | #440 | — | 6 | 2 | no | — |
| 387 | #440 | — | 6 | 1 | no | — |
| 388 | #440 | — | 6 | 1 | no | — |
| 389 | C4×SD16 | — | 6 | 2 | no | — |
| 390 | C4×D8 | — | 6 | 2 | no | — |
| 391 | C2×#108 | — | 3 | 2 | no | — |
| 392 | #428 | — | 6 | 1 | no | — |
| 393 | #427 | C22×D3 | 1 | 2 | yes | — |
| 394 | #427 | C22×D3 | 1 | 1 | yes | characteristic |
| 395 | C2×#106 | — | 3 | 1 | no | — |
| 396 | #418 | — | 2 | 1 | no | — |
| 397 | #417 | — | 6 | 1 | no | — |
| 398 | #416 | — | 6 | 1 | no | — |
| 399 | C2×#102 | — | 6 | 1 | no | — |
| 400 | #413 | — | 6 | 1 | no | — |
| 401 | #410 | — | 2 | 1 | no | — |
| 402 | #405 | — | 3 | 2 | no | — |
| 403 | #405 | — | 3 | 1 | no | — |
| 404 | #405 | — | 3 | 2 | no | — |
| 405 | #405 | — | 3 | 1 | no | — |
| 406 | #405 | — | 6 | 2 | no | — |
| 407 | C4×M16 | — | 3 | 2 | no | — |
| 408 | C4×M16 | — | 3 | 1 | no | — |
| 409 | C2×#97 | — | 3 | 2 | no | — |
| 410 | C2×#97 | — | 3 | 1 | no | — |
| 411 | #361 | — | 6 | 4 | no | — |
| 412 | #360 | — | 6 | 4 | no | — |
| 413 | #359 | — | 6 | 4 | no | — |
| 414 | #357 | — | 2 | 4 | no | — |
| 415 | #347 | — | 6 | 2 | no | — |
| 416 | #347 | — | 6 | 2 | no | — |
| 417 | #347 | — | 6 | 4 | no | — |
| 418 | #344 | — | 6 | 2 | no | — |
| 419 | #339 | — | 6 | 2 | no | — |
| 420 | #338 | — | 6 | 1 | no | — |
| 421 | H(3,ℤ/4) | — | 2 | 1 | no | — |
| 422 | H(3,ℤ/4) | — | 6 | 2 | no | — |
| 423 | C24×C3 | — | 4 | 1 | no | — |
| 424 | C3×#41 | — | 2 | 2 | no | — |
| 425 | C3×#41 | — | 2 | 2 | no | — |
| 426 | C2×C3×Q8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 427 | C2×C3×D4 | — | 2 | 2 | no | — |
| 428 | C2×C3×D4 | — | 4 | 2 | no | — |
| 429 | C2×C3×D4 | — | 4 | 2 | no | — |
| 430 | C2×C3×D4 | — | 4 | 2 | no | — |
| 431 | C2×C3×D4 | — | 4 | 1 | no | — |
| 432 | C2×C3×D4 | — | 4 | 2 | no | — |
| 433 | C2×C3×D4 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 434 | C2×C3×D4 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 435 | C22×C3×C4 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 436 | C22×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 437 | C2×#67 | — | 4 | 2 | no | — |
| 438 | C2×#67 | — | 4 | 2 | no | — |
| 439 | C2×#67 | — | 4 | 1 | no | — |
| 440 | C2×#67 | — | 4 | 2 | no | — |
| 441 | C22×Dic3 | — | 2 | 1 | no | — |
| 442 | C22×Dic3 | — | 2 | 2 | no | — |
| 443 | C22×Dic3 | — | 4 | 2 | no | — |
| 444 | C22×Dic3 | — | 4 | 2 | no | — |
| 445 | C22×Dic3 | — | 4 | 1 | no | — |
| 446 | C22×Dic3 | — | 16 | 2 | no | — |
| 447 | #237 | — | 16 | 4 | no | — |
| 448 | #235 | — | 4 | 2 | no | — |
| 449 | #235 | — | 4 | 2 | no | — |
| 450 | C2×D12 | — | 2 | 1 | no | — |
| 451 | C2×C4×D3 | — | 4 | 1 | no | — |
| 452 | C2×C4×D3 | — | 4 | 1 | no | — |
| 453 | C2×C4×D3 | — | 4 | 1 | no | — |
| 454 | C2×Dic6 | — | 2 | 1 | no | — |
| 455 | C2×Dic6 | — | 4 | 2 | no | — |
| 456 | C3×D8 | — | 2 | 4 | no | — |
| 457 | C3×D8 | — | 4 | 1 | no | — |
| 458 | C3×D8 | — | 4 | 1 | no | — |
| 459 | C3×M16 | — | 2 | 2 | no | — |
| 460 | C3×M16 | — | 2 | 4 | no | — |
| 461 | C2×C3×C8 | — | 2 | 2 | no | — |
| 462 | C2×C3×C8 | — | 2 | 2 | no | — |
| 463 | C2×C3×C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 464 | C2×C3×C8 | C23×C4 | 1 | 1 | yes | characteristic |
| 465 | C2×C3×C8 | C22×D4 | 1 | 1 | yes | characteristic |
| 466 | C2×C3×C8 | C2×#41 | 1 | 2 | yes | — |
| 467 | C2×C3×C8 | C2×#41 | 1 | 2 | yes | — |
| 468 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 469 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 470 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 471 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 472 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 473 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 474 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 475 | C3×C42 | — | 4 | 1 | no | — |
| 476 | C3×C42 | — | 4 | 2 | no | — |
| 477 | #217 | — | 2 | 1 | no | — |
| 478 | #217 | — | 2 | 2 | no | — |
| 479 | #217 | — | 4 | 2 | no | — |
| 480 | #217 | — | 4 | 2 | no | — |
| 481 | #217 | — | 4 | 2 | no | — |
| 482 | #217 | — | 4 | 2 | no | — |
| 483 | #217 | — | 4 | 2 | no | — |
| 484 | #214 | — | 4 | 4 | no | — |
| 485 | #213 | — | 4 | 4 | no | — |
| 486 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 487 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 488 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 489 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 490 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 491 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 492 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 493 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 494 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 495 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 496 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 497 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 498 | Dic3⋊C4 | — | 4 | 2 | no | — |
| 499 | C4×Dic3 | — | 2 | 1 | no | — |
| 500 | C4×Dic3 | — | 2 | 2 | no | — |
| 501 | C4×Dic3 | — | 4 | 1 | no | — |
| 502 | C4×Dic3 | — | 4 | 1 | no | — |
| 503 | C4×Dic3 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 504 | C4×Dic3 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 505 | C4×Dic3 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 506 | #208 | — | 2 | 2 | no | — |
| 507 | #208 | — | 4 | 2 | no | — |
| 508 | #208 | — | 4 | 2 | no | — |
| 509 | #208 | — | 4 | 2 | no | — |
| 510 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 511 | C2×C3⋊C8 | — | 4 | 2 | no | — |
| 512 | C2×C3⋊C8 | — | 4 | 2 | no | — |
| 513 | C2×C3⋊C8 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 514 | C2×C3⋊C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 515 | C2×C3⋊C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 516 | Dic12 | — | 2 | 2 | no | — |
| 517 | D24 | — | 2 | 2 | no | — |
| 518 | #204 | — | 4 | 1 | no | — |
| 519 | #204 | — | 4 | 1 | no | — |
| 520 | C3×C16 | — | 2 | 4 | no | — |
| 521 | C3⋊C16 | — | 2 | 4 | no | — |
| 522 | C2×#41 | — | 6 | 1 | no | — |
| 523 | C2×#41 | — | 12 | 2 | no | — |
| 524 | C2×#41 | D3×D4 | 1 | 1 | yes | characteristic |
| 525 | C22×D4 | — | 2 | 1 | no | — |
| 526 | C23×C4 | — | 12 | 1 | no | — |
| 527 | AGL(1,ℤ/8) | — | 12 | 4 | no | — |
| 528 | #135 | — | 6 | 2 | no | — |
| 529 | #135 | — | 6 | 2 | no | — |
| 530 | C2×Q16 | — | 3 | 1 | no | — |
| 531 | C2×SD16 | — | 6 | 2 | no | — |
| 532 | C2×SD16 | — | 6 | 1 | no | — |
| 533 | C2×D8 | — | 2 | 1 | no | — |
| 534 | C2×D8 | — | 2 | 2 | no | — |
| 535 | C2×D8 | — | 2 | 2 | no | — |
| 536 | C2×D8 | — | 3 | 1 | no | — |
| 537 | C2×D8 | — | 6 | 2 | no | — |
| 538 | C2×D8 | C2×C4×D3 | 1 | 2 | yes | — |
| 539 | #131 | — | 2 | 2 | no | — |
| 540 | #131 | — | 2 | 2 | no | — |
| 541 | #131 | — | 12 | 2 | no | — |
| 542 | C2×M16 | — | 3 | 1 | no | — |
| 543 | C2×M16 | — | 3 | 2 | no | — |
| 544 | C2×M16 | — | 6 | 2 | no | — |
| 545 | C2×M16 | C2×C4×D3 | 1 | 2 | yes | — |
| 546 | C2×M16 | D3×D4 | 1 | 1 | yes | characteristic |
| 547 | C22×C8 | — | 3 | 1 | no | — |
| 548 | C22×C8 | — | 3 | 2 | no | — |
| 549 | C22×C8 | D3×D4 | 1 | 2 | yes | — |
| 550 | C22×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 551 | C4⋊Q8 | — | 6 | 2 | no | — |
| 552 | C4⋊Q8 | — | 12 | 1 | no | — |
| 553 | #127 | — | 4 | 1 | no | — |
| 554 | #127 | — | 6 | 2 | no | — |
| 555 | #126 | — | 12 | 2 | no | — |
| 556 | #126 | — | 12 | 2 | no | — |
| 557 | #125 | — | 6 | 2 | no | — |
| 558 | #125 | — | 12 | 1 | no | — |
| 559 | #124 | — | 4 | 1 | no | — |
| 560 | #124 | — | 6 | 2 | no | — |
| 561 | #124 | — | 12 | 2 | no | — |
| 562 | #124 | — | 12 | 2 | no | — |
| 563 | #123 | — | 12 | 2 | no | — |
| 564 | #123 | — | 12 | 2 | no | — |
| 565 | #123 | — | 12 | 2 | no | — |
| 566 | #123 | — | 12 | 2 | no | — |
| 567 | C22⋊Q8 | — | 6 | 2 | no | — |
| 568 | C22⋊Q8 | — | 12 | 2 | no | — |
| 569 | C22⋊Q8 | — | 12 | 2 | no | — |
| 570 | C22⋊Q8 | — | 12 | 1 | no | — |
| 571 | #121 | — | 2 | 2 | no | — |
| 572 | #121 | — | 2 | 2 | no | — |
| 573 | #121 | — | 6 | 2 | no | — |
| 574 | #121 | — | 12 | 2 | no | — |
| 575 | #121 | — | 12 | 2 | no | — |
| 576 | #121 | — | 12 | 1 | no | — |
| 577 | #121 | — | 12 | 1 | no | — |
| 578 | #121 | — | 12 | 2 | no | — |
| 579 | #121 | — | 12 | 2 | no | — |
| 580 | #121 | — | 12 | 1 | no | — |
| 581 | #120 | — | 4 | 2 | no | — |
| 582 | #120 | — | 12 | 2 | no | — |
| 583 | C4×Q8 | — | 6 | 1 | no | — |
| 584 | C4×Q8 | — | 6 | 1 | no | — |
| 585 | C4×Q8 | — | 6 | 1 | no | — |
| 586 | C4×D4 | — | 6 | 1 | no | — |
| 587 | C4×D4 | — | 6 | 1 | no | — |
| 588 | C4×D4 | — | 6 | 2 | no | — |
| 589 | C4×D4 | — | 6 | 2 | no | — |
| 590 | C4×D4 | — | 6 | 2 | no | — |
| 591 | C4×D4 | — | 6 | 1 | no | — |
| 592 | C4×D4 | — | 12 | 2 | no | — |
| 593 | C4×D4 | — | 12 | 1 | no | — |
| 594 | C4×D4 | — | 12 | 1 | no | — |
| 595 | C4×D4 | — | 12 | 1 | no | — |
| 596 | C4×D4 | — | 12 | 1 | no | — |
| 597 | C4×D4 | — | 12 | 2 | no | — |
| 598 | #117 | — | 2 | 1 | no | — |
| 599 | #117 | — | 2 | 2 | no | — |
| 600 | #117 | — | 3 | 2 | no | — |
| 601 | #117 | — | 3 | 1 | no | — |
| 602 | #117 | — | 12 | 1 | no | — |
| 603 | #117 | — | 12 | 2 | no | — |
| 604 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 605 | C2×C22⋊C4 | — | 12 | 1 | no | — |
| 606 | C2×C42 | — | 3 | 2 | no | — |
| 607 | C2×C42 | — | 3 | 1 | no | — |
| 608 | C2×C42 | — | 12 | 1 | no | — |
| 609 | M32 | — | 2 | 4 | no | — |
| 610 | M32 | — | 2 | 2 | no | — |
| 611 | M32 | — | 2 | 2 | no | — |
| 612 | M32 | — | 3 | 4 | no | — |
| 613 | M32 | — | 6 | 4 | no | — |
| 614 | M32 | — | 6 | 2 | no | — |
| 615 | C2×C16 | — | 2 | 4 | no | — |
| 616 | C2×C16 | — | 6 | 4 | no | — |
| 617 | C2×C16 | — | 6 | 2 | no | — |
| 618 | C2×C16 | #237 | 1 | 4 | yes | complemented |
| 619 | #108 | — | 6 | 2 | no | — |
| 620 | #108 | — | 6 | 2 | no | — |
| 621 | #107 | — | 2 | 1 | no | — |
| 622 | #107 | — | 2 | 2 | no | — |
| 623 | #107 | — | 6 | 2 | no | — |
| 624 | #106 | — | 2 | 2 | no | — |
| 625 | #106 | — | 3 | 2 | no | — |
| 626 | #106 | — | 6 | 2 | no | — |
| 627 | #106 | — | 6 | 1 | no | — |
| 628 | #106 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 629 | #106 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 630 | #103 | — | 6 | 1 | no | — |
| 631 | #103 | — | 6 | 1 | no | — |
| 632 | #103 | — | 6 | 2 | no | — |
| 633 | #102 | — | 2 | 2 | no | — |
| 634 | #102 | — | 2 | 2 | no | — |
| 635 | #102 | — | 6 | 1 | no | — |
| 636 | #102 | — | 6 | 1 | no | — |
| 637 | #102 | — | 6 | 2 | no | — |
| 638 | #102 | — | 6 | 2 | no | — |
| 639 | #102 | — | 6 | 2 | no | — |
| 640 | #101 | — | 12 | 1 | no | — |
| 641 | #100 | — | 12 | 1 | no | — |
| 642 | #99 | — | 4 | 2 | no | — |
| 643 | #97 | — | 3 | 2 | no | — |
| 644 | #97 | — | 3 | 2 | no | — |
| 645 | #97 | — | 3 | 1 | no | — |
| 646 | #97 | — | 3 | 1 | no | — |
| 647 | #97 | — | 3 | 1 | no | — |
| 648 | #97 | — | 3 | 1 | no | — |
| 649 | #97 | — | 3 | 2 | no | — |
| 650 | #97 | — | 12 | 2 | no | — |
| 651 | C4×C8 | — | 3 | 2 | no | — |
| 652 | C4×C8 | — | 3 | 2 | no | — |
| 653 | C4×C8 | — | 3 | 2 | no | — |
| 654 | C4×C8 | — | 12 | 2 | no | — |
| 655 | C23×C3 | — | 4 | 2 | no | — |
| 656 | C23×C3 | — | 8 | 2 | no | — |
| 657 | C23×C3 | — | 16 | 1 | no | — |
| 658 | C23×C3 | — | 16 | 1 | no | — |
| 659 | C23×C3 | #418 | 1 | 2 | yes | — |
| 660 | C23×C3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 661 | C22×D3 | — | 4 | 1 | no | — |
| 662 | C3×Q8 | — | 2 | 2 | no | — |
| 663 | C3×D4 | — | 2 | 4 | no | — |
| 664 | C3×D4 | — | 2 | 2 | no | — |
| 665 | C3×D4 | — | 4 | 2 | no | — |
| 666 | C3×D4 | — | 4 | 2 | no | — |
| 667 | C3×D4 | — | 8 | 2 | no | — |
| 668 | C3×D4 | — | 16 | 2 | no | — |
| 669 | C3×D4 | — | 16 | 2 | no | — |
| 670 | C2×C3×C4 | — | 2 | 2 | no | — |
| 671 | C2×C3×C4 | — | 2 | 2 | no | — |
| 672 | C2×C3×C4 | — | 4 | 1 | no | — |
| 673 | C2×C3×C4 | — | 4 | 1 | no | — |
| 674 | C2×C3×C4 | — | 8 | 2 | no | — |
| 675 | C2×C3×C4 | #418 | 1 | 2 | yes | — |
| 676 | C2×C3×C4 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 677 | C2×C3×C4 | #532 | 1 | 2 | yes | — |
| 678 | C2×C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 679 | C2×C3×C4 | #575 | 1 | 2 | yes | — |
| 680 | #67 | — | 8 | 2 | no | — |
| 681 | #67 | — | 16 | 2 | no | — |
| 682 | #67 | — | 16 | 2 | no | — |
| 683 | #67 | — | 16 | 2 | no | — |
| 684 | C2×Dic3 | — | 2 | 1 | no | — |
| 685 | C2×Dic3 | — | 2 | 1 | no | — |
| 686 | C2×Dic3 | — | 2 | 2 | no | — |
| 687 | C2×Dic3 | — | 4 | 1 | no | — |
| 688 | C2×Dic3 | — | 4 | 2 | no | — |
| 689 | C2×Dic3 | — | 8 | 2 | no | — |
| 690 | C2×Dic3 | — | 8 | 1 | no | — |
| 691 | C2×Dic3 | — | 8 | 4 | no | — |
| 692 | C2×Dic3 | — | 16 | 2 | no | — |
| 693 | C2×Dic3 | — | 16 | 1 | no | — |
| 694 | D12 | — | 4 | 1 | no | — |
| 695 | D12 | — | 4 | 1 | no | — |
| 696 | C4×D3 | — | 8 | 2 | no | — |
| 697 | C4×D3 | — | 8 | 2 | no | — |
| 698 | C4×D3 | — | 16 | 1 | no | — |
| 699 | Dic6 | — | 4 | 1 | no | — |
| 700 | Dic6 | — | 4 | 1 | no | — |
| 701 | Dic6 | — | 16 | 2 | no | — |
| 702 | C3×C8 | — | 2 | 2 | no | — |
| 703 | C3×C8 | C4×#41 | 1 | 2 | yes | — |
| 704 | C3×C8 | #525 | 1 | 1 | yes | characteristic |
| 705 | C3×C8 | #525 | 1 | 1 | yes | characteristic |
| 706 | C3⋊C8 | — | 2 | 1 | no | — |
| 707 | C3⋊C8 | — | 2 | 1 | no | — |
| 708 | C3⋊C8 | — | 2 | 2 | no | — |
| 709 | C3⋊C8 | — | 8 | 2 | no | — |
| 710 | C24 | — | 4 | 1 | no | — |
| 711 | #41 | — | 2 | 2 | no | — |
| 712 | #41 | — | 2 | 2 | no | — |
| 713 | #41 | — | 12 | 2 | no | — |
| 714 | #41 | — | 12 | 2 | no | — |
| 715 | #41 | — | 48 | 4 | no | — |
| 716 | C2×Q8 | — | 6 | 1 | no | — |
| 717 | C2×Q8 | — | 12 | 2 | no | — |
| 718 | C2×Q8 | #914 | 1 | 1 | yes | characteristic |
| 719 | C2×D4 | — | 2 | 2 | no | — |
| 720 | C2×D4 | — | 4 | 2 | no | — |
| 721 | C2×D4 | — | 4 | 2 | no | — |
| 722 | C2×D4 | — | 4 | 1 | no | — |
| 723 | C2×D4 | — | 4 | 2 | no | — |
| 724 | C2×D4 | — | 4 | 2 | no | — |
| 725 | C2×D4 | — | 6 | 1 | no | — |
| 726 | C2×D4 | — | 12 | 2 | no | — |
| 727 | C2×D4 | — | 12 | 2 | no | — |
| 728 | C2×D4 | — | 12 | 1 | no | — |
| 729 | C2×D4 | — | 12 | 2 | no | — |
| 730 | C2×D4 | #911 | 1 | 2 | yes | — |
| 731 | C2×D4 | #914 | 1 | 1 | yes | characteristic |
| 732 | C22×C4 | — | 6 | 1 | no | — |
| 733 | C22×C4 | — | 6 | 2 | no | — |
| 734 | C22×C4 | — | 12 | 1 | no | — |
| 735 | C22×C4 | — | 12 | 1 | no | — |
| 736 | C22×C4 | — | 12 | 2 | no | — |
| 737 | C22×C4 | — | 12 | 2 | no | — |
| 738 | C22×C4 | — | 12 | 1 | no | — |
| 739 | C22×C4 | — | 12 | 1 | no | — |
| 740 | C22×C4 | — | 48 | 2 | no | — |
| 741 | C22×C4 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 742 | C22×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 743 | Q16 | — | 6 | 2 | no | — |
| 744 | SD16 | — | 12 | 4 | no | — |
| 745 | SD16 | — | 12 | 1 | no | — |
| 746 | SD16 | — | 12 | 1 | no | — |
| 747 | D8 | — | 2 | 4 | no | — |
| 748 | D8 | — | 4 | 1 | no | — |
| 749 | D8 | — | 4 | 1 | no | — |
| 750 | D8 | — | 6 | 2 | no | — |
| 751 | D8 | — | 12 | 4 | no | — |
| 752 | M16 | — | 2 | 2 | no | — |
| 753 | M16 | — | 2 | 4 | no | — |
| 754 | M16 | — | 6 | 2 | no | — |
| 755 | M16 | — | 12 | 2 | no | — |
| 756 | M16 | — | 12 | 2 | no | — |
| 757 | M16 | — | 12 | 2 | no | — |
| 758 | C2×C8 | — | 2 | 2 | no | — |
| 759 | C2×C8 | — | 2 | 2 | no | — |
| 760 | C2×C8 | — | 3 | 1 | no | — |
| 761 | C2×C8 | — | 3 | 2 | no | — |
| 762 | C2×C8 | — | 3 | 1 | no | — |
| 763 | C2×C8 | — | 6 | 2 | no | — |
| 764 | C2×C8 | — | 12 | 2 | no | — |
| 765 | C2×C8 | — | 12 | 2 | no | — |
| 766 | C2×C8 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 767 | C2×C8 | C22×C4×D3 | 1 | 1 | yes | characteristic |
| 768 | C2×C8 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 769 | C2×C8 | C2×#237 | 1 | 2 | yes | — |
| 770 | C2×C8 | D3×#41 | 1 | 2 | yes | — |
| 771 | C4⋊C4 | — | 2 | 1 | no | — |
| 772 | C4⋊C4 | — | 2 | 1 | no | — |
| 773 | C4⋊C4 | — | 4 | 2 | no | — |
| 774 | C4⋊C4 | — | 6 | 1 | no | — |
| 775 | C4⋊C4 | — | 6 | 2 | no | — |
| 776 | C4⋊C4 | — | 6 | 2 | no | — |
| 777 | C4⋊C4 | — | 12 | 1 | no | — |
| 778 | C4⋊C4 | — | 12 | 1 | no | — |
| 779 | C4⋊C4 | — | 12 | 2 | no | — |
| 780 | C4⋊C4 | — | 12 | 2 | no | — |
| 781 | C4⋊C4 | — | 12 | 2 | no | — |
| 782 | C4⋊C4 | — | 12 | 1 | no | — |
| 783 | C4⋊C4 | — | 12 | 2 | no | — |
| 784 | C22⋊C4 | — | 4 | 1 | no | — |
| 785 | C22⋊C4 | — | 4 | 2 | no | — |
| 786 | C22⋊C4 | — | 4 | 2 | no | — |
| 787 | C22⋊C4 | — | 4 | 2 | no | — |
| 788 | C22⋊C4 | — | 6 | 1 | no | — |
| 789 | C22⋊C4 | — | 6 | 2 | no | — |
| 790 | C22⋊C4 | — | 12 | 1 | no | — |
| 791 | C22⋊C4 | — | 12 | 1 | no | — |
| 792 | C22⋊C4 | — | 12 | 2 | no | — |
| 793 | C22⋊C4 | — | 12 | 2 | no | — |
| 794 | C22⋊C4 | — | 12 | 2 | no | — |
| 795 | C22⋊C4 | — | 12 | 2 | no | — |
| 796 | C22⋊C4 | — | 12 | 2 | no | — |
| 797 | C22⋊C4 | — | 12 | 2 | no | — |
| 798 | C42 | — | 3 | 1 | no | — |
| 799 | C42 | — | 3 | 2 | no | — |
| 800 | C42 | — | 3 | 1 | no | — |
| 801 | C42 | — | 4 | 1 | no | — |
| 802 | C42 | — | 4 | 2 | no | — |
| 803 | C42 | — | 6 | 1 | no | — |
| 804 | C42 | — | 6 | 2 | no | — |
| 805 | C42 | — | 12 | 1 | no | — |
| 806 | C42 | — | 12 | 1 | no | — |
| 807 | C16 | — | 2 | 4 | no | — |
| 808 | C16 | — | 6 | 4 | no | — |
| 809 | C22×C3 | — | 2 | 2 | no | — |
| 810 | C22×C3 | — | 4 | 1 | no | — |
| 811 | C22×C3 | — | 4 | 2 | no | — |
| 812 | C22×C3 | — | 8 | 2 | no | — |
| 813 | C22×C3 | — | 8 | 2 | no | — |
| 814 | C22×C3 | — | 8 | 2 | no | — |
| 815 | C22×C3 | — | 16 | 4 | no | — |
| 816 | C22×C3 | C2×#418 | 1 | 1 | yes | characteristic |
| 817 | C22×C3 | #3180 | 1 | 2 | yes | — |
| 818 | C2×D3 | — | 8 | 1 | no | — |
| 819 | C2×D3 | — | 8 | 1 | no | — |
| 820 | C2×D3 | — | 8 | 1 | no | — |
| 821 | C3×C4 | — | 2 | 2 | no | — |
| 822 | C3×C4 | — | 8 | 1 | no | — |
| 823 | C3×C4 | — | 8 | 1 | no | — |
| 824 | C3×C4 | — | 16 | 2 | no | — |
| 825 | C3×C4 | #2297 | 1 | 1 | yes | characteristic |
| 826 | C3×C4 | #2896 | 1 | 1 | yes | characteristic |
| 827 | C3×C4 | #3180 | 1 | 2 | yes | — |
| 828 | Dic3 | — | 4 | 2 | no | — |
| 829 | Dic3 | — | 4 | 1 | no | — |
| 830 | Dic3 | — | 4 | 1 | no | — |
| 831 | Dic3 | — | 8 | 2 | no | — |
| 832 | Dic3 | — | 8 | 1 | no | — |
| 833 | C23 | — | 4 | 2 | no | — |
| 834 | C23 | — | 8 | 2 | no | — |
| 835 | C23 | — | 12 | 1 | no | — |
| 836 | C23 | — | 16 | 1 | no | — |
| 837 | C23 | — | 16 | 1 | no | — |
| 838 | C23 | #4770 | 1 | 2 | yes | — |
| 839 | C23 | C2×#911 | 1 | 1 | yes | characteristic |
| 840 | Q8 | — | 2 | 2 | no | — |
| 841 | Q8 | — | 12 | 1 | no | — |
| 842 | Q8 | — | 12 | 1 | no | — |
| 843 | Q8 | — | 48 | 2 | no | — |
| 844 | D4 | — | 2 | 4 | no | — |
| 845 | D4 | — | 2 | 2 | no | — |
| 846 | D4 | — | 4 | 2 | no | — |
| 847 | D4 | — | 4 | 2 | no | — |
| 848 | D4 | — | 8 | 2 | no | — |
| 849 | D4 | — | 12 | 1 | no | — |
| 850 | D4 | — | 12 | 1 | no | — |
| 851 | D4 | — | 16 | 2 | no | — |
| 852 | D4 | — | 16 | 2 | no | — |
| 853 | D4 | — | 24 | 2 | no | — |
| 854 | D4 | — | 48 | 2 | no | — |
| 855 | D4 | — | 48 | 2 | no | — |
| 856 | D4 | — | 48 | 2 | no | — |
| 857 | C2×C4 | — | 2 | 2 | no | — |
| 858 | C2×C4 | — | 2 | 2 | no | — |
| 859 | C2×C4 | — | 4 | 1 | no | — |
| 860 | C2×C4 | — | 4 | 1 | no | — |
| 861 | C2×C4 | — | 6 | 1 | no | — |
| 862 | C2×C4 | — | 6 | 1 | no | — |
| 863 | C2×C4 | — | 6 | 2 | no | — |
| 864 | C2×C4 | — | 8 | 2 | no | — |
| 865 | C2×C4 | — | 12 | 1 | no | — |
| 866 | C2×C4 | — | 12 | 2 | no | — |
| 867 | C2×C4 | — | 24 | 2 | no | — |
| 868 | C2×C4 | — | 24 | 1 | no | — |
| 869 | C2×C4 | — | 24 | 2 | no | — |
| 870 | C2×C4 | — | 24 | 4 | no | — |
| 871 | C2×C4 | — | 24 | 2 | no | — |
| 872 | C2×C4 | — | 48 | 1 | no | — |
| 873 | C2×C4 | — | 48 | 2 | no | — |
| 874 | C2×C4 | — | 48 | 1 | no | — |
| 875 | C2×C4 | #4770 | 1 | 2 | yes | — |
| 876 | C2×C4 | C2×D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 877 | C2×C4 | #5596 | 1 | 2 | yes | — |
| 878 | C2×C4 | C2×#914 | 1 | 1 | yes | characteristic |
| 879 | C2×C4 | #5768 | 1 | 2 | yes | — |
| 880 | C8 | — | 2 | 2 | no | — |
| 881 | C8 | — | 6 | 1 | no | — |
| 882 | C8 | — | 6 | 1 | no | — |
| 883 | C8 | — | 6 | 2 | no | — |
| 884 | C8 | — | 24 | 2 | no | — |
| 885 | C8 | C4×#237 | 1 | 2 | yes | — |
| 886 | C8 | #5586 | 1 | 1 | yes | characteristic |
| 887 | C8 | #5656 | 1 | 1 | yes | characteristic |
| 888 | C2×C3 | — | 2 | 1 | no | — |
| 889 | C2×C3 | — | 2 | 2 | no | — |
| 890 | C2×C3 | — | 4 | 2 | no | — |
| 891 | C2×C3 | — | 16 | 2 | no | — |
| 892 | C2×C3 | #21408 | 1 | 1 | yes | characteristic |
| 893 | D3 | — | 16 | 1 | no | — |
| 894 | C22 | — | 2 | 2 | no | — |
| 895 | C22 | — | 4 | 1 | no | — |
| 896 | C22 | — | 4 | 2 | no | — |
| 897 | C22 | — | 8 | 2 | no | — |
| 898 | C22 | — | 8 | 2 | no | — |
| 899 | C22 | — | 8 | 2 | no | — |
| 900 | C22 | — | 16 | 4 | no | — |
| 901 | C22 | — | 24 | 1 | no | — |
| 902 | C22 | — | 24 | 1 | no | — |
| 903 | C22 | — | 24 | 1 | no | — |
| 904 | C22 | C2×#4770 | 1 | 1 | yes | characteristic |
| 905 | C22 | #80701 | 1 | 2 | yes | — |
| 906 | C4 | — | 2 | 2 | no | — |
| 907 | C4 | — | 8 | 1 | no | — |
| 908 | C4 | — | 8 | 1 | no | — |
| 909 | C4 | — | 12 | 1 | no | — |
| 910 | C4 | — | 12 | 1 | no | — |
| 911 | C4 | — | 12 | 2 | no | — |
| 912 | C4 | — | 16 | 2 | no | — |
| 913 | C4 | — | 24 | 2 | no | — |
| 914 | C4 | — | 24 | 1 | no | — |
| 915 | C4 | #74658 | 1 | 1 | yes | characteristic |
| 916 | C4 | #78830 | 1 | 1 | yes | characteristic |
| 917 | C4 | #80638 | 1 | 2 | yes | — |
| 918 | C3 | #495573 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 919 | C2 | — | 2 | 1 | no | — |
| 920 | C2 | — | 2 | 2 | no | — |
| 921 | C2 | — | 4 | 2 | no | — |
| 922 | C2 | — | 16 | 2 | no | — |
| 923 | C2 | — | 48 | 1 | no | — |
| 924 | C2 | #10800419 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10947847 | C2 | semidirect |
| 3. #10795559 | C2 | semidirect |
| 4. #10713822 | C2 | semidirect |
| 5. #10713454 | C2 | semidirect |
| 6. #10712662 | C2 | semidirect |
| 7. #10712649 | C2 | semidirect |
| 8. #10712646 | C2 | semidirect |
| 9. #10710470 | C2 | semidirect |
| 10. #10710460 | C2 | semidirect |
| 11. C3×#13074 | C2 | semidirect |
| 22. #80853 | C4 | semidirect |
| 23. #80852 | C4 | semidirect |
| 24. #80850 | C4 | semidirect |
| 25. #80849 | C4 | semidirect |
| 60. #13074 | D3 | semidirect |
| 287. C2×C3×C16 | #41 | semidirect |
| 318. #812 | #41 | semidirect |
| 618. C2×C16 | #237 | semidirect |
| 918. C3 | #495573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11665253 | 2 |
| #10947847 | 2 |
| #10795559 | 2 |
| #10713822 | 2 |
| #10713454 | 2 |
| #10712662 | 2 |
| #10712649 | 2 |
| #10712646 | 2 |
| #10710470 | 2 |
| #10710460 | 2 |
| C3×#13074 | 2 |
| #495573 | 3 |