Finite Group DatabasebetaFinite Group DatabasebetaOrder 4608.
1511 conjugacy classes of subgroups.
The subgroup lattice has 875 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #72222535 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #72222533 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | D3×#7390 | — | 3 | 2 | no | maximal |
| 4 | C3×#10682658 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #72222480 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3⋊D3×#2177 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | C2×C3⋊D3×D16 | C4 | 1 | 1 | yes | characteristic |
| 8 | C4×D8×C3⋊D3 | — | 2 | 1 | no | — |
| 9 | #11800468 | — | 2 | 1 | no | — |
| 10 | #11797813 | C22 | 1 | 1 | yes | characteristic |
| 11 | #11797810 | C4 | 1 | 1 | yes | characteristic |
| 12 | #11797807 | C4 | 1 | 1 | yes | characteristic |
| 13 | #11797804 | — | 2 | 1 | no | — |
| 14 | #11797801 | — | 2 | 1 | no | — |
| 15 | C3⋊D3×#367 | C4 | 1 | 1 | yes | characteristic |
| 16 | #11797054 | — | 2 | 1 | no | — |
| 17 | C3⋊D3×#357 | — | 2 | 1 | no | — |
| 18 | C3⋊D3×#346 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11772681 | — | 2 | 1 | no | — |
| 20 | C3×#67519 | C22 | 1 | 2 | yes | complemented |
| 21 | #11772198 | — | 2 | 1 | no | — |
| 22 | C3×#67514 | C22 | 1 | 2 | yes | complemented |
| 23 | C32×#2177 | C22 | 1 | 1 | yes | characteristic |
| 24 | D3×#2177 | — | 3 | 2 | no | — |
| 25 | D3×#2177 | — | 6 | 1 | no | — |
| 26 | D3×#1398 | — | 3 | 2 | no | — |
| 27 | D3×#1369 | — | 3 | 2 | no | — |
| 28 | #10682659 | — | 3 | 2 | no | — |
| 29 | #10682658 | D3 | 1 | 2 | yes | complemented |
| 30 | #10682657 | — | 3 | 2 | no | — |
| 31 | C3×#7390 | — | 3 | 2 | no | — |
| 32 | C2×D8×C3⋊D3 | — | 2 | 1 | no | — |
| 33 | C4×D4×C3⋊D3 | — | 4 | 1 | no | — |
| 34 | C2×C32×D16 | C2×C4 | 1 | 1 | yes | characteristic |
| 35 | C32×C4×D8 | — | 2 | 1 | no | — |
| 36 | D8×C3⋊Dic3 | — | 2 | 1 | no | — |
| 37 | C2×#63653 | — | 2 | 1 | no | — |
| 38 | C4×#3753 | — | 4 | 1 | no | — |
| 39 | C3⋊D3×D16 | — | 2 | 1 | no | — |
| 40 | C3⋊D3×D16 | — | 2 | 1 | no | — |
| 41 | C3⋊D3×D16 | C8 | 1 | 2 | yes | — |
| 42 | C3⋊D3×D16 | C8 | 1 | 2 | yes | — |
| 43 | C2×#63626 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C2×C16×C3⋊D3 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C2×C16×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 46 | C3⋊D3×#107 | — | 2 | 1 | no | — |
| 47 | #10592571 | — | 2 | 1 | no | — |
| 48 | C3⋊D3×#102 | — | 4 | 1 | no | — |
| 49 | #10592455 | — | 4 | 1 | no | — |
| 50 | C4×#3745 | — | 2 | 1 | no | — |
| 51 | C4×C8×C3⋊D3 | D4 | 1 | 1 | yes | characteristic |
| 52 | #10590625 | — | 4 | 1 | no | — |
| 53 | C32×#367 | C2×C4 | 1 | 1 | yes | characteristic |
| 54 | C32×#357 | — | 2 | 1 | no | — |
| 55 | C32×#346 | C23 | 1 | 1 | yes | characteristic |
| 56 | #10589428 | — | 2 | 1 | no | — |
| 57 | #10589375 | — | 2 | 1 | no | — |
| 58 | #10589371 | C2×C4 | 1 | 1 | yes | characteristic |
| 59 | #10589368 | C2×C4 | 1 | 1 | yes | characteristic |
| 60 | #10589368 | D4 | 1 | 1 | yes | characteristic |
| 61 | #10589357 | — | 2 | 1 | no | — |
| 62 | #10589356 | — | 2 | 1 | no | — |
| 63 | #10589327 | D4 | 1 | 1 | yes | characteristic |
| 64 | C3×#4499 | — | 2 | 2 | no | — |
| 65 | C3×#4463 | — | 2 | 2 | no | — |
| 66 | #10589135 | — | 4 | 1 | no | — |
| 67 | #10589069 | — | 2 | 2 | no | — |
| 68 | #10589067 | — | 2 | 2 | no | — |
| 69 | C2×#7390 | — | 9 | 1 | no | Sylow |
| 70 | C2×D3×D16 | — | 3 | 2 | no | — |
| 71 | C2×D3×D16 | — | 6 | 1 | no | — |
| 72 | C4×D3×D8 | — | 6 | 2 | no | — |
| 73 | C4×D3×D8 | — | 6 | 2 | no | — |
| 74 | C3×#2177 | — | 2 | 1 | no | — |
| 75 | C3×#2177 | C2×D3 | 1 | 2 | yes | — |
| 76 | #71461 | — | 3 | 2 | no | — |
| 77 | #71461 | — | 6 | 1 | no | — |
| 78 | #70885 | — | 6 | 2 | no | — |
| 79 | #70885 | — | 6 | 2 | no | — |
| 80 | D3×M64 | — | 6 | 2 | no | — |
| 81 | D3×#367 | — | 3 | 2 | no | — |
| 82 | D3×#367 | — | 6 | 1 | no | — |
| 83 | #69339 | — | 3 | 2 | no | — |
| 84 | #69339 | — | 6 | 1 | no | — |
| 85 | D3×#364 | — | 6 | 2 | no | — |
| 86 | D3×#357 | — | 6 | 2 | no | — |
| 87 | D3×#357 | — | 6 | 2 | no | — |
| 88 | #69177 | — | 6 | 2 | no | — |
| 89 | #69177 | — | 6 | 2 | no | — |
| 90 | #69078 | — | 3 | 2 | no | — |
| 91 | #69078 | — | 6 | 1 | no | — |
| 92 | D3×#346 | — | 3 | 2 | no | — |
| 93 | D3×#346 | — | 6 | 1 | no | — |
| 94 | C3×#1398 | — | 3 | 2 | no | — |
| 95 | C3×#1369 | — | 3 | 2 | no | — |
| 96 | #67600 | — | 6 | 2 | no | — |
| 97 | #67567 | — | 6 | 2 | no | — |
| 98 | #67519 | C2×D3 | 1 | 2 | yes | complemented |
| 99 | #67514 | C2×D3 | 1 | 2 | yes | complemented |
| 100 | C2×D4×C3⋊D3 | — | 4 | 1 | no | — |
| 101 | C22×C4×C3⋊D3 | — | 8 | 1 | no | — |
| 102 | C2×C32×D8 | — | 2 | 1 | no | — |
| 103 | C32×C4×D4 | — | 4 | 1 | no | — |
| 104 | D4×C3⋊Dic3 | — | 4 | 1 | no | — |
| 105 | C2×#3753 | — | 4 | 1 | no | — |
| 106 | C4×#638 | — | 8 | 1 | no | — |
| 107 | D8×C3⋊D3 | — | 2 | 2 | no | — |
| 108 | D8×C3⋊D3 | — | 2 | 2 | no | — |
| 109 | D8×C3⋊D3 | — | 4 | 1 | no | — |
| 110 | D8×C3⋊D3 | — | 4 | 1 | no | — |
| 111 | C2×#3745 | — | 2 | 1 | no | — |
| 112 | C2×C8×C3⋊D3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 113 | C2×C8×C3⋊D3 | D8 | 1 | 1 | yes | characteristic |
| 114 | #64102 | — | 4 | 1 | no | — |
| 115 | C4⋊C4×C3⋊D3 | — | 4 | 1 | no | — |
| 116 | #64090 | — | 8 | 1 | no | — |
| 117 | C22⋊C4×C3⋊D3 | — | 8 | 1 | no | — |
| 118 | C4×C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 119 | C42×C3⋊D3 | SD16 | 1 | 1 | yes | characteristic |
| 120 | C32×D16 | — | 2 | 1 | no | — |
| 121 | C32×D16 | C2×C8 | 1 | 2 | yes | — |
| 122 | C2×C32×C16 | C22×C4 | 1 | 1 | yes | characteristic |
| 123 | C2×C32×C16 | C2×D4 | 1 | 1 | yes | characteristic |
| 124 | C32×#107 | — | 2 | 1 | no | — |
| 125 | C32×#102 | — | 4 | 1 | no | — |
| 126 | C32×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | #63659 | — | 4 | 1 | no | — |
| 128 | #63653 | — | 2 | 2 | no | — |
| 129 | #63653 | — | 2 | 2 | no | — |
| 130 | #63648 | — | 4 | 1 | no | — |
| 131 | #63645 | — | 2 | 1 | no | — |
| 132 | C8×C3⋊Dic3 | C22⋊C4 | 1 | 1 | yes | characteristic |
| 133 | C8×C3⋊Dic3 | D8 | 1 | 1 | yes | characteristic |
| 134 | C2×C3⋊(C3⋊C16) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 135 | C2×C3⋊(C3⋊C16) | C22⋊C4 | 1 | 1 | yes | characteristic |
| 136 | #63636 | — | 4 | 1 | no | — |
| 137 | #63634 | — | 4 | 1 | no | — |
| 138 | C4×C3⋊(C3⋊C8) | SD16 | 1 | 1 | yes | characteristic |
| 139 | #63626 | — | 2 | 1 | no | — |
| 140 | #63626 | C2×C8 | 1 | 2 | yes | — |
| 141 | C16×C3⋊D3 | — | 2 | 1 | no | — |
| 142 | C16×C3⋊D3 | — | 2 | 1 | no | — |
| 143 | C16×C3⋊D3 | C2×C8 | 1 | 1 | yes | characteristic |
| 144 | C16×C3⋊D3 | C2×C8 | 1 | 1 | yes | characteristic |
| 145 | C16×C3⋊D3 | M16 | 1 | 1 | yes | characteristic |
| 146 | C16×C3⋊D3 | M16 | 1 | 1 | yes | characteristic |
| 147 | C3×#812 | — | 4 | 2 | no | — |
| 148 | #63544 | — | 8 | 1 | no | — |
| 149 | #63542 | — | 8 | 1 | no | — |
| 150 | C3×C3⋊C32 | — | 2 | 4 | no | — |
| 151 | C2×#2177 | — | 9 | 1 | no | — |
| 152 | C2×#1398 | — | 9 | 1 | no | — |
| 153 | C2×#1369 | — | 9 | 1 | no | — |
| 154 | #7390 | — | 3 | 2 | no | — |
| 155 | #7390 | — | 9 | 2 | no | — |
| 156 | C2×D3×D8 | — | 6 | 2 | no | — |
| 157 | C2×D3×D8 | — | 6 | 2 | no | — |
| 158 | C4×D3×D4 | — | 12 | 2 | no | — |
| 159 | C4×D3×D4 | — | 12 | 2 | no | — |
| 160 | C2×C3×D16 | — | 2 | 1 | no | — |
| 161 | C2×C3×D16 | C4×D3 | 1 | 2 | yes | — |
| 162 | C3×C4×D8 | — | 2 | 2 | no | — |
| 163 | C3×C4×D8 | — | 2 | 2 | no | — |
| 164 | Dic3×D8 | — | 6 | 2 | no | — |
| 165 | Dic3×D8 | — | 6 | 2 | no | — |
| 166 | C2×#826 | — | 6 | 2 | no | — |
| 167 | C2×#826 | — | 6 | 2 | no | — |
| 168 | C4×#213 | — | 12 | 2 | no | — |
| 169 | C4×#213 | — | 12 | 2 | no | — |
| 170 | D3×D16 | — | 3 | 4 | no | — |
| 171 | D3×D16 | — | 3 | 4 | no | — |
| 172 | D3×D16 | — | 6 | 2 | no | — |
| 173 | D3×D16 | — | 6 | 2 | no | — |
| 174 | D3×D16 | — | 6 | 2 | no | — |
| 175 | D3×D16 | — | 6 | 2 | no | — |
| 176 | D3×D16 | — | 6 | 2 | no | — |
| 177 | D3×D16 | — | 6 | 2 | no | — |
| 178 | D3×M32 | — | 12 | 2 | no | — |
| 179 | C2×D48 | — | 3 | 2 | no | — |
| 180 | C2×D48 | — | 6 | 1 | no | — |
| 181 | C2×D3×C16 | — | 3 | 2 | no | — |
| 182 | C2×D3×C16 | — | 3 | 2 | no | — |
| 183 | C2×D3×C16 | — | 6 | 1 | no | — |
| 184 | C2×D3×C16 | — | 6 | 1 | no | — |
| 185 | D3×#107 | — | 6 | 2 | no | — |
| 186 | D3×#107 | — | 6 | 2 | no | — |
| 187 | #4872 | — | 6 | 2 | no | — |
| 188 | #4872 | — | 6 | 2 | no | — |
| 189 | D3×#102 | — | 12 | 2 | no | — |
| 190 | D3×#102 | — | 12 | 2 | no | — |
| 191 | #4756 | — | 12 | 2 | no | — |
| 192 | #4756 | — | 12 | 2 | no | — |
| 193 | C4×D24 | — | 6 | 2 | no | — |
| 194 | C4×D24 | — | 6 | 2 | no | — |
| 195 | C4×D3×C8 | — | 3 | 2 | no | — |
| 196 | C4×D3×C8 | — | 6 | 1 | no | — |
| 197 | C3×M64 | — | 6 | 2 | no | — |
| 198 | C3×#367 | — | 2 | 1 | no | — |
| 199 | C3×#367 | C4×D3 | 1 | 2 | yes | — |
| 200 | C3×#364 | — | 6 | 2 | no | — |
| 201 | C3×#357 | — | 2 | 2 | no | — |
| 202 | C3×#357 | — | 2 | 2 | no | — |
| 203 | C3×#346 | — | 2 | 1 | no | — |
| 204 | C3×#346 | C22×D3 | 1 | 2 | yes | — |
| 205 | #4562 | — | 6 | 2 | no | — |
| 206 | #4562 | — | 6 | 2 | no | — |
| 207 | #4511 | — | 12 | 2 | no | — |
| 208 | #4509 | — | 6 | 2 | no | — |
| 209 | #4509 | — | 6 | 2 | no | — |
| 210 | #4505 | — | 3 | 2 | no | — |
| 211 | #4505 | — | 6 | 1 | no | — |
| 212 | #4502 | — | 3 | 2 | no | — |
| 213 | #4502 | — | 3 | 2 | no | — |
| 214 | #4502 | — | 6 | 1 | no | — |
| 215 | #4502 | — | 6 | 1 | no | — |
| 216 | #4499 | — | 2 | 2 | no | — |
| 217 | #4491 | — | 6 | 2 | no | — |
| 218 | #4491 | — | 6 | 2 | no | — |
| 219 | #4490 | — | 6 | 2 | no | — |
| 220 | #4490 | — | 6 | 2 | no | — |
| 221 | #4463 | — | 2 | 2 | no | — |
| 222 | #4461 | — | 3 | 2 | no | — |
| 223 | #4461 | — | 6 | 1 | no | — |
| 224 | #4447 | — | 6 | 4 | no | — |
| 225 | D3×C32 | — | 6 | 4 | no | — |
| 226 | C23×C3⋊D3 | — | 8 | 1 | no | — |
| 227 | C2×C32×D4 | — | 4 | 1 | no | — |
| 228 | C22×C32×C4 | — | 8 | 1 | no | — |
| 229 | C2×#638 | — | 8 | 1 | no | — |
| 230 | C22×C3⋊Dic3 | — | 8 | 1 | no | — |
| 231 | D4×C3⋊D3 | — | 4 | 2 | no | — |
| 232 | D4×C3⋊D3 | — | 4 | 2 | no | — |
| 233 | D4×C3⋊D3 | — | 8 | 1 | no | — |
| 234 | D4×C3⋊D3 | — | 8 | 1 | no | — |
| 235 | C2×C4⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 236 | C2×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 237 | C2×C4×C3⋊D3 | — | 8 | 1 | no | — |
| 238 | C2×C4×C3⋊D3 | — | 8 | 1 | no | — |
| 239 | C2×C4×C3⋊D3 | — | 8 | 1 | no | — |
| 240 | C2×C4×C3⋊D3 | — | 16 | 4 | no | — |
| 241 | C2×C4×C3⋊D3 | #102 | 1 | 1 | yes | characteristic |
| 242 | C32×D8 | — | 2 | 2 | no | — |
| 243 | C32×D8 | — | 4 | 1 | no | — |
| 244 | C2×C32×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 245 | C2×C32×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 246 | C32×C4⋊C4 | — | 4 | 1 | no | — |
| 247 | C32×C22⋊C4 | — | 8 | 1 | no | — |
| 248 | C32×C42 | C2×SD16 | 1 | 1 | yes | characteristic |
| 249 | #3757 | — | 8 | 1 | no | — |
| 250 | #3753 | — | 4 | 2 | no | — |
| 251 | #3753 | — | 4 | 2 | no | — |
| 252 | #3752 | — | 8 | 1 | no | — |
| 253 | #3752 | — | 8 | 1 | no | — |
| 254 | C4⋊(C3⋊Dic3) | — | 4 | 1 | no | — |
| 255 | #3750 | — | 8 | 1 | no | — |
| 256 | C4×C3⋊Dic3 | — | 2 | 1 | no | — |
| 257 | C4×C3⋊Dic3 | #102 | 1 | 1 | yes | characteristic |
| 258 | C2×C3⋊(C3⋊C8) | #102 | 1 | 1 | yes | characteristic |
| 259 | C2×C3⋊(C3⋊C8) | #102 | 1 | 1 | yes | characteristic |
| 260 | #3745 | — | 2 | 2 | no | — |
| 261 | #3745 | — | 4 | 1 | no | — |
| 262 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 263 | C8×C3⋊D3 | — | 2 | 1 | no | — |
| 264 | C8×C3⋊D3 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 265 | C8×C3⋊D3 | C22⋊C8 | 1 | 1 | yes | characteristic |
| 266 | C8×C3⋊D3 | #104 | 1 | 1 | yes | characteristic |
| 267 | C8×C3⋊D3 | #104 | 1 | 1 | yes | characteristic |
| 268 | C32×C16 | — | 2 | 1 | no | — |
| 269 | C32×C16 | C22×C8 | 1 | 1 | yes | characteristic |
| 270 | C32×C16 | C2×M16 | 1 | 1 | yes | characteristic |
| 271 | C3⋊(C3⋊C16) | — | 2 | 1 | no | — |
| 272 | C3⋊(C3⋊C16) | C22⋊C8 | 1 | 1 | yes | characteristic |
| 273 | C3⋊(C3⋊C16) | C22⋊C8 | 1 | 1 | yes | characteristic |
| 274 | C3×C3⋊C16 | — | 8 | 2 | no | — |
| 275 | C22×D16 | — | 9 | 1 | no | — |
| 276 | C2×C4×D8 | — | 18 | 1 | no | — |
| 277 | C2×M64 | — | 18 | 1 | no | — |
| 278 | #2177 | — | 9 | 1 | no | — |
| 279 | #2177 | — | 9 | 1 | no | — |
| 280 | #2177 | — | 9 | 1 | no | — |
| 281 | #2177 | — | 18 | 1 | no | — |
| 282 | #2177 | — | 18 | 1 | no | — |
| 283 | #2177 | D32 | 1 | 1 | yes | characteristic |
| 284 | C2×#367 | — | 9 | 1 | no | — |
| 285 | C2×#364 | — | 18 | 1 | no | — |
| 286 | C2×#357 | — | 18 | 1 | no | — |
| 287 | C2×#346 | — | 9 | 1 | no | — |
| 288 | #1398 | — | 3 | 2 | no | — |
| 289 | #1398 | — | 18 | 1 | no | — |
| 290 | #1369 | — | 3 | 2 | no | — |
| 291 | #1369 | — | 18 | 1 | no | — |
| 292 | C2×D3×D4 | — | 12 | 2 | no | — |
| 293 | C2×D3×D4 | — | 12 | 2 | no | — |
| 294 | C22×C4×D3 | — | 24 | 2 | no | — |
| 295 | C22×C4×D3 | — | 24 | 2 | no | — |
| 296 | C2×C3×D8 | — | 2 | 2 | no | — |
| 297 | C2×C3×D8 | — | 2 | 2 | no | — |
| 298 | C3×C4×D4 | — | 4 | 2 | no | — |
| 299 | C3×C4×D4 | — | 4 | 2 | no | — |
| 300 | D4×Dic3 | — | 12 | 2 | no | — |
| 301 | D4×Dic3 | — | 12 | 2 | no | — |
| 302 | C2×#213 | — | 12 | 2 | no | — |
| 303 | C2×#213 | — | 12 | 2 | no | — |
| 304 | C4×#67 | — | 24 | 2 | no | — |
| 305 | C4×#67 | — | 24 | 2 | no | — |
| 306 | D3×D8 | — | 6 | 4 | no | — |
| 307 | D3×D8 | — | 6 | 4 | no | — |
| 308 | D3×D8 | — | 6 | 4 | no | — |
| 309 | D3×D8 | — | 6 | 4 | no | — |
| 310 | D3×D8 | — | 12 | 2 | no | — |
| 311 | D3×D8 | — | 12 | 2 | no | — |
| 312 | D3×D8 | — | 12 | 2 | no | — |
| 313 | D3×D8 | — | 12 | 2 | no | — |
| 314 | C2×D24 | — | 6 | 2 | no | — |
| 315 | C2×D24 | — | 6 | 2 | no | — |
| 316 | C2×D3×C8 | — | 3 | 2 | no | — |
| 317 | C2×D3×C8 | — | 3 | 2 | no | — |
| 318 | C2×D3×C8 | — | 6 | 1 | no | — |
| 319 | C2×D3×C8 | — | 6 | 1 | no | — |
| 320 | #893 | — | 12 | 2 | no | — |
| 321 | #893 | — | 12 | 2 | no | — |
| 322 | D3×C4⋊C4 | — | 12 | 2 | no | — |
| 323 | D3×C4⋊C4 | — | 12 | 2 | no | — |
| 324 | #67⋊C4 | — | 24 | 2 | no | — |
| 325 | #67⋊C4 | — | 24 | 2 | no | — |
| 326 | D3×C22⋊C4 | — | 24 | 2 | no | — |
| 327 | D3×C22⋊C4 | — | 24 | 2 | no | — |
| 328 | C4×D12 | — | 12 | 2 | no | — |
| 329 | C4×D12 | — | 12 | 2 | no | — |
| 330 | C42×D3 | — | 3 | 2 | no | — |
| 331 | C42×D3 | — | 6 | 1 | no | — |
| 332 | C3×D16 | — | 2 | 2 | no | — |
| 333 | C3×D16 | — | 2 | 2 | no | — |
| 334 | C3×D16 | — | 2 | 2 | no | — |
| 335 | C3×D16 | D3×C8 | 1 | 4 | yes | — |
| 336 | C3×M32 | — | 12 | 2 | no | — |
| 337 | C2×C3×C16 | — | 2 | 1 | no | — |
| 338 | C2×C3×C16 | — | 2 | 1 | no | — |
| 339 | C2×C3×C16 | C2×C4×D3 | 1 | 2 | yes | — |
| 340 | C2×C3×C16 | D3×D4 | 1 | 2 | yes | — |
| 341 | C3×#107 | — | 2 | 2 | no | — |
| 342 | C3×#107 | — | 2 | 2 | no | — |
| 343 | C3×#102 | — | 4 | 2 | no | — |
| 344 | C3×#102 | — | 4 | 2 | no | — |
| 345 | C3×C4×C8 | — | 2 | 1 | no | — |
| 346 | C3×C4×C8 | D3×D4 | 1 | 2 | yes | — |
| 347 | #832 | — | 12 | 2 | no | — |
| 348 | #832 | — | 12 | 2 | no | — |
| 349 | #826 | — | 6 | 4 | no | — |
| 350 | #826 | — | 6 | 4 | no | — |
| 351 | #826 | — | 6 | 4 | no | — |
| 352 | #826 | — | 6 | 4 | no | — |
| 353 | #821 | — | 12 | 2 | no | — |
| 354 | #821 | — | 12 | 2 | no | — |
| 355 | #818 | — | 6 | 2 | no | — |
| 356 | #818 | — | 6 | 2 | no | — |
| 357 | C8×Dic3 | — | 3 | 2 | no | — |
| 358 | C8×Dic3 | — | 3 | 2 | no | — |
| 359 | C8×Dic3 | — | 6 | 1 | no | — |
| 360 | C8×Dic3 | — | 6 | 1 | no | — |
| 361 | #812 | — | 4 | 2 | no | — |
| 362 | C2×C3⋊C16 | — | 3 | 2 | no | — |
| 363 | C2×C3⋊C16 | — | 3 | 2 | no | — |
| 364 | C2×C3⋊C16 | — | 6 | 1 | no | — |
| 365 | C2×C3⋊C16 | — | 6 | 1 | no | — |
| 366 | #809 | — | 12 | 2 | no | — |
| 367 | #809 | — | 12 | 2 | no | — |
| 368 | #807 | — | 12 | 2 | no | — |
| 369 | #807 | — | 12 | 2 | no | — |
| 370 | C4×C3⋊C8 | — | 3 | 2 | no | — |
| 371 | C4×C3⋊C8 | — | 6 | 1 | no | — |
| 372 | D48 | — | 3 | 4 | no | — |
| 373 | D48 | — | 6 | 2 | no | — |
| 374 | D48 | — | 6 | 2 | no | — |
| 375 | D48 | — | 6 | 2 | no | — |
| 376 | #798 | — | 24 | 2 | no | — |
| 377 | D3×C16 | — | 3 | 2 | no | — |
| 378 | D3×C16 | — | 3 | 2 | no | — |
| 379 | D3×C16 | — | 3 | 2 | no | — |
| 380 | D3×C16 | — | 3 | 2 | no | — |
| 381 | D3×C16 | — | 6 | 1 | no | — |
| 382 | D3×C16 | — | 6 | 1 | no | — |
| 383 | D3×C16 | — | 6 | 1 | no | — |
| 384 | D3×C16 | — | 6 | 1 | no | — |
| 385 | D3×C16 | — | 6 | 2 | no | — |
| 386 | D3×C16 | — | 6 | 2 | no | — |
| 387 | D3×C16 | — | 12 | 1 | no | — |
| 388 | D3×C16 | — | 12 | 1 | no | — |
| 389 | D3×C16 | — | 24 | 2 | no | — |
| 390 | C3×C32 | — | 6 | 4 | no | — |
| 391 | C3⋊C32 | — | 2 | 4 | no | — |
| 392 | C23×C32 | — | 8 | 1 | no | — |
| 393 | C22×C3⋊D3 | — | 8 | 1 | no | — |
| 394 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 395 | C22×C3⋊D3 | — | 8 | 2 | no | — |
| 396 | C22×C3⋊D3 | — | 16 | 2 | no | — |
| 397 | C22×C3⋊D3 | — | 16 | 2 | no | — |
| 398 | C22×C3⋊D3 | #361 | 1 | 1 | yes | characteristic |
| 399 | C32×D4 | — | 4 | 2 | no | — |
| 400 | C32×D4 | — | 8 | 1 | no | — |
| 401 | C2×C32×C4 | — | 2 | 1 | no | — |
| 402 | C2×C32×C4 | — | 8 | 1 | no | — |
| 403 | C2×C32×C4 | — | 16 | 2 | no | — |
| 404 | C2×C32×C4 | C2×#102 | 1 | 1 | yes | characteristic |
| 405 | #638 | — | 8 | 2 | no | — |
| 406 | #638 | — | 8 | 2 | no | — |
| 407 | C2×C3⋊Dic3 | — | 2 | 1 | no | — |
| 408 | C2×C3⋊Dic3 | — | 8 | 1 | no | — |
| 409 | C2×C3⋊Dic3 | — | 16 | 2 | no | — |
| 410 | C2×C3⋊Dic3 | #361 | 1 | 1 | yes | characteristic |
| 411 | C4⋊(C3⋊D3) | — | 4 | 2 | no | — |
| 412 | C4⋊(C3⋊D3) | — | 8 | 1 | no | — |
| 413 | C4×C3⋊D3 | — | 4 | 2 | no | — |
| 414 | C4×C3⋊D3 | — | 16 | 2 | no | — |
| 415 | C4×C3⋊D3 | — | 16 | 2 | no | — |
| 416 | C4×C3⋊D3 | — | 16 | 2 | no | — |
| 417 | C4×C3⋊D3 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 418 | C4×C3⋊D3 | D4⋊C8 | 1 | 1 | yes | characteristic |
| 419 | C4×C3⋊D3 | #360 | 1 | 1 | yes | characteristic |
| 420 | C4×C3⋊D3 | #360 | 1 | 1 | yes | characteristic |
| 421 | C32×C8 | — | 2 | 1 | no | — |
| 422 | C32×C8 | C2×C22⋊C8 | 1 | 1 | yes | characteristic |
| 423 | C32×C8 | C2×#104 | 1 | 1 | yes | characteristic |
| 424 | C3⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 425 | C3⋊(C3⋊C8) | D4⋊C8 | 1 | 1 | yes | characteristic |
| 426 | C3⋊(C3⋊C8) | D4⋊C8 | 1 | 1 | yes | characteristic |
| 427 | C22×D8 | — | 18 | 1 | no | — |
| 428 | C2×C4×D4 | — | 36 | 1 | no | — |
| 429 | C2×D16 | — | 9 | 2 | no | — |
| 430 | C2×D16 | — | 9 | 2 | no | — |
| 431 | C2×D16 | — | 9 | 1 | no | — |
| 432 | C2×D16 | — | 18 | 1 | no | — |
| 433 | C2×D16 | — | 18 | 1 | no | — |
| 434 | C2×D16 | — | 18 | 1 | no | — |
| 435 | C2×D16 | #624 | 1 | 1 | yes | characteristic |
| 436 | C2×M32 | — | 36 | 1 | no | — |
| 437 | C22×C16 | — | 9 | 1 | no | — |
| 438 | C22×C16 | — | 9 | 1 | no | — |
| 439 | C4×D8 | — | 2 | 1 | no | — |
| 440 | C4×D8 | — | 18 | 1 | no | — |
| 441 | C4×D8 | — | 18 | 1 | no | — |
| 442 | C4×D8 | — | 18 | 1 | no | — |
| 443 | C4×D8 | — | 36 | 1 | no | — |
| 444 | C4×D8 | — | 36 | 1 | no | — |
| 445 | C2×#107 | — | 18 | 1 | no | — |
| 446 | C2×#102 | — | 36 | 1 | no | — |
| 447 | C2×C4×C8 | — | 9 | 1 | no | — |
| 448 | M64 | — | 6 | 2 | no | — |
| 449 | M64 | — | 18 | 2 | no | — |
| 450 | C2×C32 | — | 18 | 2 | no | — |
| 451 | #367 | — | 9 | 1 | no | — |
| 452 | #367 | — | 18 | 1 | no | — |
| 453 | #367 | #624 | 1 | 1 | yes | characteristic |
| 454 | #364 | — | 6 | 2 | no | — |
| 455 | #364 | — | 36 | 1 | no | — |
| 456 | #357 | — | 2 | 1 | no | — |
| 457 | #357 | — | 18 | 1 | no | — |
| 458 | #357 | — | 18 | 1 | no | — |
| 459 | #357 | — | 18 | 1 | no | — |
| 460 | #346 | — | 9 | 1 | no | — |
| 461 | #346 | — | 9 | 1 | no | — |
| 462 | #346 | — | 9 | 1 | no | — |
| 463 | #346 | C2×D32 | 1 | 1 | yes | characteristic |
| 464 | C23×D3 | — | 24 | 2 | no | — |
| 465 | C23×D3 | — | 24 | 2 | no | — |
| 466 | C2×C3×D4 | — | 4 | 2 | no | — |
| 467 | C2×C3×D4 | — | 4 | 2 | no | — |
| 468 | C22×C3×C4 | — | 8 | 2 | no | — |
| 469 | C22×C3×C4 | — | 8 | 2 | no | — |
| 470 | C2×#67 | — | 24 | 2 | no | — |
| 471 | C2×#67 | — | 24 | 2 | no | — |
| 472 | C22×Dic3 | — | 24 | 2 | no | — |
| 473 | C22×Dic3 | — | 24 | 2 | no | — |
| 474 | D3×D4 | — | 12 | 4 | no | — |
| 475 | D3×D4 | — | 12 | 4 | no | — |
| 476 | D3×D4 | — | 12 | 4 | no | — |
| 477 | D3×D4 | — | 12 | 4 | no | — |
| 478 | D3×D4 | — | 24 | 2 | no | — |
| 479 | D3×D4 | — | 24 | 2 | no | — |
| 480 | D3×D4 | — | 24 | 2 | no | — |
| 481 | D3×D4 | — | 24 | 2 | no | — |
| 482 | C2×D12 | — | 12 | 2 | no | — |
| 483 | C2×D12 | — | 12 | 2 | no | — |
| 484 | C2×C4×D3 | — | 3 | 2 | no | — |
| 485 | C2×C4×D3 | — | 6 | 1 | no | — |
| 486 | C2×C4×D3 | — | 6 | 2 | no | — |
| 487 | C2×C4×D3 | — | 6 | 2 | no | — |
| 488 | C2×C4×D3 | — | 24 | 2 | no | — |
| 489 | C2×C4×D3 | — | 24 | 2 | no | — |
| 490 | C2×C4×D3 | — | 24 | 2 | no | — |
| 491 | C2×C4×D3 | — | 24 | 2 | no | — |
| 492 | C2×C4×D3 | — | 24 | 2 | no | — |
| 493 | C2×C4×D3 | — | 24 | 2 | no | — |
| 494 | C2×C4×D3 | — | 48 | 8 | no | — |
| 495 | C2×C4×D3 | — | 48 | 8 | no | — |
| 496 | C3×D8 | — | 2 | 4 | no | — |
| 497 | C3×D8 | — | 2 | 4 | no | — |
| 498 | C3×D8 | — | 4 | 2 | no | — |
| 499 | C3×D8 | — | 4 | 2 | no | — |
| 500 | C2×C3×C8 | — | 2 | 1 | no | — |
| 501 | C2×C3×C8 | — | 2 | 1 | no | — |
| 502 | C2×C3×C8 | D3×C22⋊C4 | 1 | 2 | yes | — |
| 503 | C2×C3×C8 | D3×D8 | 1 | 2 | yes | — |
| 504 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 505 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 506 | C3×C22⋊C4 | — | 8 | 2 | no | — |
| 507 | C3×C22⋊C4 | — | 8 | 2 | no | — |
| 508 | C3×C42 | — | 2 | 1 | no | — |
| 509 | C3×C42 | D3×SD16 | 1 | 2 | yes | — |
| 510 | #217 | — | 24 | 2 | no | — |
| 511 | #217 | — | 24 | 2 | no | — |
| 512 | #213 | — | 12 | 4 | no | — |
| 513 | #213 | — | 12 | 4 | no | — |
| 514 | #213 | — | 12 | 4 | no | — |
| 515 | #213 | — | 12 | 4 | no | — |
| 516 | (C2×D3)⋊C4 | — | 24 | 2 | no | — |
| 517 | (C2×D3)⋊C4 | — | 24 | 2 | no | — |
| 518 | (C2×D3)⋊C4 | — | 24 | 2 | no | — |
| 519 | (C2×D3)⋊C4 | — | 24 | 2 | no | — |
| 520 | C4⋊Dic3 | — | 12 | 2 | no | — |
| 521 | C4⋊Dic3 | — | 12 | 2 | no | — |
| 522 | Dic3⋊C4 | — | 24 | 2 | no | — |
| 523 | Dic3⋊C4 | — | 24 | 2 | no | — |
| 524 | C4×Dic3 | — | 3 | 2 | no | — |
| 525 | C4×Dic3 | — | 6 | 1 | no | — |
| 526 | C4×Dic3 | — | 6 | 2 | no | — |
| 527 | C4×Dic3 | — | 6 | 2 | no | — |
| 528 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 529 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 530 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 531 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 532 | D24 | — | 6 | 4 | no | — |
| 533 | D24 | — | 6 | 4 | no | — |
| 534 | D24 | — | 12 | 2 | no | — |
| 535 | D24 | — | 12 | 2 | no | — |
| 536 | D3×C8 | — | 3 | 2 | no | — |
| 537 | D3×C8 | — | 3 | 2 | no | — |
| 538 | D3×C8 | — | 3 | 2 | no | — |
| 539 | D3×C8 | — | 3 | 2 | no | — |
| 540 | D3×C8 | — | 6 | 1 | no | — |
| 541 | D3×C8 | — | 6 | 1 | no | — |
| 542 | D3×C8 | — | 6 | 1 | no | — |
| 543 | D3×C8 | — | 6 | 1 | no | — |
| 544 | D3×C8 | — | 6 | 2 | no | — |
| 545 | D3×C8 | — | 6 | 2 | no | — |
| 546 | D3×C8 | — | 12 | 1 | no | — |
| 547 | D3×C8 | — | 12 | 1 | no | — |
| 548 | C3×C16 | — | 2 | 2 | no | — |
| 549 | C3×C16 | — | 2 | 1 | no | — |
| 550 | C3×C16 | — | 2 | 1 | no | — |
| 551 | C3×C16 | — | 4 | 1 | no | — |
| 552 | C3×C16 | — | 24 | 2 | no | — |
| 553 | C3×C16 | C2×D3×C8 | 1 | 2 | yes | — |
| 554 | C3×C16 | D3×M16 | 1 | 2 | yes | — |
| 555 | C3⋊C16 | — | 3 | 2 | no | — |
| 556 | C3⋊C16 | — | 3 | 2 | no | — |
| 557 | C3⋊C16 | — | 6 | 1 | no | — |
| 558 | C3⋊C16 | — | 6 | 1 | no | — |
| 559 | C3⋊C16 | — | 6 | 2 | no | — |
| 560 | C3⋊C16 | — | 8 | 2 | no | — |
| 561 | C3⋊C16 | — | 12 | 1 | no | — |
| 562 | C22×C32 | — | 8 | 2 | no | — |
| 563 | C22×C32 | — | 16 | 1 | no | — |
| 564 | C22×C32 | — | 16 | 1 | no | — |
| 565 | C22×C32 | C2×#361 | 1 | 1 | yes | characteristic |
| 566 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 567 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 568 | C2×C3⋊D3 | — | 16 | 4 | no | — |
| 569 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 570 | C2×C3⋊D3 | — | 16 | 1 | no | — |
| 571 | C2×C3⋊D3 | — | 16 | 4 | no | — |
| 572 | C2×C3⋊D3 | #1333 | 1 | 1 | yes | characteristic |
| 573 | C2×C3⋊D3 | #1333 | 1 | 1 | yes | characteristic |
| 574 | C32×C4 | — | 4 | 1 | no | — |
| 575 | C32×C4 | — | 16 | 1 | no | — |
| 576 | C32×C4 | C2×D4⋊C8 | 1 | 1 | yes | characteristic |
| 577 | C32×C4 | C2×#360 | 1 | 1 | yes | characteristic |
| 578 | C3⋊Dic3 | — | 4 | 1 | no | — |
| 579 | C3⋊Dic3 | — | 16 | 1 | no | — |
| 580 | C3⋊Dic3 | #1333 | 1 | 1 | yes | characteristic |
| 581 | C3⋊Dic3 | #1333 | 1 | 1 | yes | characteristic |
| 582 | C22×D4 | — | 36 | 1 | no | — |
| 583 | C23×C4 | — | 72 | 1 | no | — |
| 584 | C2×D8 | — | 2 | 1 | no | — |
| 585 | C2×D8 | — | 18 | 2 | no | — |
| 586 | C2×D8 | — | 18 | 2 | no | — |
| 587 | C2×D8 | — | 18 | 1 | no | — |
| 588 | C2×D8 | — | 36 | 1 | no | — |
| 589 | C2×D8 | — | 36 | 1 | no | — |
| 590 | C2×D8 | — | 36 | 1 | no | — |
| 591 | C22×C8 | — | 9 | 1 | no | — |
| 592 | C22×C8 | — | 9 | 1 | no | — |
| 593 | C4×D4 | — | 4 | 1 | no | — |
| 594 | C4×D4 | — | 36 | 1 | no | — |
| 595 | C4×D4 | — | 36 | 1 | no | — |
| 596 | C4×D4 | — | 36 | 1 | no | — |
| 597 | C4×D4 | — | 72 | 1 | no | — |
| 598 | C4×D4 | — | 72 | 1 | no | — |
| 599 | C2×C4⋊C4 | — | 36 | 1 | no | — |
| 600 | C2×C22⋊C4 | — | 72 | 1 | no | — |
| 601 | C2×C42 | — | 9 | 1 | no | — |
| 602 | D16 | — | 2 | 1 | no | — |
| 603 | D16 | — | 9 | 2 | no | — |
| 604 | D16 | — | 18 | 2 | no | — |
| 605 | D16 | — | 18 | 2 | no | — |
| 606 | D16 | — | 18 | 1 | no | — |
| 607 | D16 | #3710 | 1 | 2 | yes | — |
| 608 | M32 | — | 12 | 2 | no | — |
| 609 | M32 | — | 72 | 1 | no | — |
| 610 | C2×C16 | — | 9 | 1 | no | — |
| 611 | C2×C16 | — | 9 | 1 | no | — |
| 612 | C2×C16 | — | 9 | 1 | no | — |
| 613 | C2×C16 | — | 9 | 1 | no | — |
| 614 | C2×C16 | — | 9 | 1 | no | — |
| 615 | C2×C16 | — | 9 | 1 | no | — |
| 616 | C2×C16 | — | 18 | 1 | no | — |
| 617 | C2×C16 | — | 18 | 1 | no | — |
| 618 | C2×C16 | — | 72 | 1 | no | — |
| 619 | C2×C16 | C2×#624 | 1 | 1 | yes | characteristic |
| 620 | C2×C16 | #3811 | 1 | 1 | yes | characteristic |
| 621 | #107 | — | 2 | 1 | no | — |
| 622 | #107 | — | 18 | 1 | no | — |
| 623 | #107 | — | 36 | 1 | no | — |
| 624 | #102 | — | 4 | 1 | no | — |
| 625 | #102 | — | 36 | 1 | no | — |
| 626 | #102 | — | 36 | 1 | no | — |
| 627 | #102 | — | 36 | 1 | no | — |
| 628 | C4×C8 | — | 9 | 1 | no | — |
| 629 | C4×C8 | — | 9 | 1 | no | — |
| 630 | C4×C8 | — | 9 | 1 | no | — |
| 631 | C4×C8 | #3811 | 1 | 1 | yes | characteristic |
| 632 | C32 | — | 6 | 4 | no | — |
| 633 | C23×C3 | — | 8 | 2 | no | — |
| 634 | C23×C3 | — | 8 | 2 | no | — |
| 635 | C22×D3 | — | 3 | 2 | no | — |
| 636 | C22×D3 | — | 6 | 1 | no | — |
| 637 | C22×D3 | — | 24 | 4 | no | — |
| 638 | C22×D3 | — | 24 | 4 | no | — |
| 639 | C22×D3 | — | 24 | 4 | no | — |
| 640 | C22×D3 | — | 24 | 4 | no | — |
| 641 | C22×D3 | — | 24 | 2 | no | — |
| 642 | C22×D3 | — | 24 | 2 | no | — |
| 643 | C22×D3 | — | 48 | 4 | no | — |
| 644 | C22×D3 | — | 48 | 4 | no | — |
| 645 | C22×D3 | — | 48 | 4 | no | — |
| 646 | C22×D3 | — | 48 | 4 | no | — |
| 647 | C3×D4 | — | 4 | 4 | no | — |
| 648 | C3×D4 | — | 4 | 4 | no | — |
| 649 | C3×D4 | — | 8 | 2 | no | — |
| 650 | C3×D4 | — | 8 | 2 | no | — |
| 651 | C2×C3×C4 | — | 2 | 2 | no | — |
| 652 | C2×C3×C4 | — | 2 | 2 | no | — |
| 653 | C2×C3×C4 | — | 2 | 1 | no | — |
| 654 | C2×C3×C4 | — | 8 | 2 | no | — |
| 655 | C2×C3×C4 | — | 8 | 2 | no | — |
| 656 | C2×C3×C4 | — | 16 | 4 | no | — |
| 657 | C2×C3×C4 | — | 16 | 4 | no | — |
| 658 | C2×C3×C4 | D3×#102 | 1 | 2 | yes | — |
| 659 | #67 | — | 24 | 4 | no | — |
| 660 | #67 | — | 24 | 4 | no | — |
| 661 | #67 | — | 24 | 4 | no | — |
| 662 | #67 | — | 24 | 4 | no | — |
| 663 | C2×Dic3 | — | 3 | 2 | no | — |
| 664 | C2×Dic3 | — | 6 | 1 | no | — |
| 665 | C2×Dic3 | — | 6 | 2 | no | — |
| 666 | C2×Dic3 | — | 6 | 2 | no | — |
| 667 | C2×Dic3 | — | 24 | 2 | no | — |
| 668 | C2×Dic3 | — | 24 | 2 | no | — |
| 669 | C2×Dic3 | — | 48 | 4 | no | — |
| 670 | C2×Dic3 | — | 48 | 4 | no | — |
| 671 | D12 | — | 12 | 4 | no | — |
| 672 | D12 | — | 12 | 4 | no | — |
| 673 | D12 | — | 24 | 2 | no | — |
| 674 | D12 | — | 24 | 2 | no | — |
| 675 | C4×D3 | — | 3 | 2 | no | — |
| 676 | C4×D3 | — | 3 | 2 | no | — |
| 677 | C4×D3 | — | 3 | 2 | no | — |
| 678 | C4×D3 | — | 3 | 2 | no | — |
| 679 | C4×D3 | — | 6 | 1 | no | — |
| 680 | C4×D3 | — | 6 | 1 | no | — |
| 681 | C4×D3 | — | 6 | 1 | no | — |
| 682 | C4×D3 | — | 6 | 1 | no | — |
| 683 | C4×D3 | — | 12 | 4 | no | — |
| 684 | C4×D3 | — | 12 | 4 | no | — |
| 685 | C4×D3 | — | 48 | 4 | no | — |
| 686 | C4×D3 | — | 48 | 4 | no | — |
| 687 | C4×D3 | — | 48 | 4 | no | — |
| 688 | C4×D3 | — | 48 | 4 | no | — |
| 689 | C4×D3 | — | 48 | 4 | no | — |
| 690 | C4×D3 | — | 48 | 4 | no | — |
| 691 | C3×C8 | — | 2 | 2 | no | — |
| 692 | C3×C8 | — | 2 | 1 | no | — |
| 693 | C3×C8 | — | 2 | 1 | no | — |
| 694 | C3×C8 | — | 4 | 1 | no | — |
| 695 | C3×C8 | D3×C22⋊C8 | 1 | 2 | yes | — |
| 696 | C3×C8 | D3×#104 | 1 | 2 | yes | — |
| 697 | C3⋊C8 | — | 3 | 2 | no | — |
| 698 | C3⋊C8 | — | 3 | 2 | no | — |
| 699 | C3⋊C8 | — | 6 | 1 | no | — |
| 700 | C3⋊C8 | — | 6 | 1 | no | — |
| 701 | C3⋊C8 | — | 6 | 2 | no | — |
| 702 | C3⋊C8 | — | 12 | 1 | no | — |
| 703 | C2×C32 | — | 2 | 1 | no | — |
| 704 | C2×C32 | — | 16 | 2 | no | — |
| 705 | C2×C32 | C2×#1333 | 1 | 1 | yes | characteristic |
| 706 | C3⋊D3 | — | 2 | 1 | no | — |
| 707 | C3⋊D3 | — | 16 | 2 | no | — |
| 708 | C3⋊D3 | #7390 | 1 | 2 | yes | complemented |
| 709 | C24 | — | 72 | 1 | no | — |
| 710 | C2×D4 | — | 4 | 1 | no | — |
| 711 | C2×D4 | — | 36 | 2 | no | — |
| 712 | C2×D4 | — | 36 | 2 | no | — |
| 713 | C2×D4 | — | 36 | 1 | no | — |
| 714 | C2×D4 | — | 72 | 1 | no | — |
| 715 | C2×D4 | — | 72 | 1 | no | — |
| 716 | C2×D4 | — | 72 | 1 | no | — |
| 717 | C22×C4 | — | 8 | 1 | no | — |
| 718 | C22×C4 | — | 9 | 1 | no | — |
| 719 | C22×C4 | — | 18 | 1 | no | — |
| 720 | C22×C4 | — | 72 | 1 | no | — |
| 721 | C22×C4 | — | 72 | 1 | no | — |
| 722 | C22×C4 | — | 72 | 1 | no | — |
| 723 | C22×C4 | — | 72 | 1 | no | — |
| 724 | C22×C4 | — | 144 | 4 | no | — |
| 725 | D8 | — | 2 | 2 | no | — |
| 726 | D8 | — | 4 | 1 | no | — |
| 727 | D8 | — | 18 | 2 | no | — |
| 728 | D8 | — | 36 | 2 | no | — |
| 729 | D8 | — | 36 | 2 | no | — |
| 730 | D8 | — | 36 | 1 | no | — |
| 731 | C2×C8 | — | 9 | 1 | no | — |
| 732 | C2×C8 | — | 9 | 1 | no | — |
| 733 | C2×C8 | — | 9 | 1 | no | — |
| 734 | C2×C8 | — | 9 | 1 | no | — |
| 735 | C2×C8 | — | 9 | 1 | no | — |
| 736 | C2×C8 | — | 9 | 1 | no | — |
| 737 | C2×C8 | — | 18 | 1 | no | — |
| 738 | C2×C8 | — | 18 | 1 | no | — |
| 739 | C2×C8 | #63926 | 1 | 1 | yes | characteristic |
| 740 | C2×C8 | #63974 | 1 | 1 | yes | characteristic |
| 741 | C4⋊C4 | — | 4 | 1 | no | — |
| 742 | C4⋊C4 | — | 36 | 1 | no | — |
| 743 | C4⋊C4 | — | 72 | 1 | no | — |
| 744 | C22⋊C4 | — | 8 | 1 | no | — |
| 745 | C22⋊C4 | — | 72 | 1 | no | — |
| 746 | C22⋊C4 | — | 72 | 1 | no | — |
| 747 | C22⋊C4 | — | 72 | 1 | no | — |
| 748 | C42 | — | 9 | 1 | no | — |
| 749 | C42 | — | 18 | 1 | no | — |
| 750 | C42 | #63930 | 1 | 1 | yes | characteristic |
| 751 | C16 | — | 2 | 1 | no | — |
| 752 | C16 | — | 9 | 1 | no | — |
| 753 | C16 | — | 9 | 1 | no | — |
| 754 | C16 | — | 18 | 1 | no | — |
| 755 | C16 | — | 24 | 2 | no | — |
| 756 | C16 | C2×#3710 | 1 | 1 | yes | characteristic |
| 757 | C16 | #63818 | 1 | 1 | yes | characteristic |
| 758 | C22×C3 | — | 2 | 1 | no | — |
| 759 | C22×C3 | — | 8 | 4 | no | — |
| 760 | C22×C3 | — | 8 | 4 | no | — |
| 761 | C22×C3 | — | 16 | 2 | no | — |
| 762 | C22×C3 | — | 16 | 2 | no | — |
| 763 | C22×C3 | — | 16 | 2 | no | — |
| 764 | C22×C3 | — | 16 | 2 | no | — |
| 765 | C22×C3 | D3×#361 | 1 | 2 | yes | — |
| 766 | C2×D3 | — | 3 | 2 | no | — |
| 767 | C2×D3 | — | 3 | 2 | no | — |
| 768 | C2×D3 | — | 6 | 1 | no | — |
| 769 | C2×D3 | — | 6 | 1 | no | — |
| 770 | C2×D3 | — | 6 | 4 | no | — |
| 771 | C2×D3 | — | 6 | 4 | no | — |
| 772 | C2×D3 | — | 24 | 4 | no | — |
| 773 | C2×D3 | — | 24 | 4 | no | — |
| 774 | C2×D3 | — | 48 | 8 | no | — |
| 775 | C2×D3 | — | 48 | 8 | no | — |
| 776 | C2×D3 | — | 48 | 8 | no | — |
| 777 | C2×D3 | — | 48 | 8 | no | — |
| 778 | C2×D3 | — | 48 | 2 | no | — |
| 779 | C2×D3 | — | 48 | 2 | no | — |
| 780 | C2×D3 | — | 48 | 2 | no | — |
| 781 | C2×D3 | — | 48 | 2 | no | — |
| 782 | C3×C4 | — | 2 | 1 | no | — |
| 783 | C3×C4 | — | 2 | 1 | no | — |
| 784 | C3×C4 | — | 4 | 2 | no | — |
| 785 | C3×C4 | — | 4 | 2 | no | — |
| 786 | C3×C4 | — | 16 | 2 | no | — |
| 787 | C3×C4 | — | 16 | 2 | no | — |
| 788 | C3×C4 | D3×D4⋊C8 | 1 | 2 | yes | — |
| 789 | C3×C4 | D3×#360 | 1 | 2 | yes | — |
| 790 | Dic3 | — | 3 | 2 | no | — |
| 791 | Dic3 | — | 3 | 2 | no | — |
| 792 | Dic3 | — | 6 | 1 | no | — |
| 793 | Dic3 | — | 6 | 1 | no | — |
| 794 | Dic3 | — | 12 | 2 | no | — |
| 795 | Dic3 | — | 12 | 2 | no | — |
| 796 | Dic3 | — | 48 | 2 | no | — |
| 797 | Dic3 | — | 48 | 2 | no | — |
| 798 | C32 | C2×#7390 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 799 | C23 | — | 8 | 1 | no | — |
| 800 | C23 | — | 9 | 1 | no | — |
| 801 | C23 | — | 72 | 2 | no | — |
| 802 | C23 | — | 72 | 2 | no | — |
| 803 | C23 | — | 72 | 1 | no | — |
| 804 | C23 | — | 144 | 2 | no | — |
| 805 | C23 | — | 144 | 2 | no | — |
| 806 | D4 | — | 4 | 2 | no | — |
| 807 | D4 | — | 8 | 1 | no | — |
| 808 | D4 | — | 36 | 2 | no | — |
| 809 | D4 | — | 72 | 2 | no | — |
| 810 | D4 | — | 72 | 2 | no | — |
| 811 | D4 | — | 72 | 1 | no | — |
| 812 | C2×C4 | — | 2 | 1 | no | — |
| 813 | C2×C4 | — | 8 | 1 | no | — |
| 814 | C2×C4 | — | 9 | 1 | no | — |
| 815 | C2×C4 | — | 9 | 1 | no | — |
| 816 | C2×C4 | — | 9 | 1 | no | — |
| 817 | C2×C4 | — | 9 | 1 | no | — |
| 818 | C2×C4 | — | 9 | 1 | no | — |
| 819 | C2×C4 | — | 16 | 2 | no | — |
| 820 | C2×C4 | — | 18 | 1 | no | — |
| 821 | C2×C4 | — | 36 | 2 | no | — |
| 822 | C2×C4 | — | 72 | 1 | no | — |
| 823 | C2×C4 | — | 144 | 2 | no | — |
| 824 | C2×C4 | — | 144 | 2 | no | — |
| 825 | C2×C4 | — | 144 | 2 | no | — |
| 826 | C2×C4 | — | 144 | 2 | no | — |
| 827 | C2×C4 | #10591416 | 1 | 1 | yes | characteristic |
| 828 | C8 | — | 2 | 1 | no | — |
| 829 | C8 | — | 9 | 1 | no | — |
| 830 | C8 | — | 9 | 1 | no | — |
| 831 | C8 | — | 18 | 1 | no | — |
| 832 | C8 | #10591152 | 1 | 1 | yes | characteristic |
| 833 | C8 | #10591671 | 1 | 1 | yes | characteristic |
| 834 | C2×C3 | — | 2 | 2 | no | — |
| 835 | C2×C3 | — | 2 | 2 | no | — |
| 836 | C2×C3 | — | 2 | 1 | no | — |
| 837 | C2×C3 | — | 16 | 4 | no | — |
| 838 | C2×C3 | — | 16 | 4 | no | — |
| 839 | C2×C3 | D3×#1333 | 1 | 2 | yes | — |
| 840 | D3 | — | 3 | 4 | no | — |
| 841 | D3 | — | 6 | 2 | no | — |
| 842 | D3 | — | 6 | 2 | no | — |
| 843 | D3 | — | 6 | 2 | no | — |
| 844 | D3 | — | 48 | 4 | no | — |
| 845 | D3 | — | 48 | 4 | no | — |
| 846 | C22 | — | 8 | 2 | no | — |
| 847 | C22 | — | 9 | 1 | no | — |
| 848 | C22 | — | 9 | 1 | no | — |
| 849 | C22 | — | 16 | 1 | no | — |
| 850 | C22 | — | 16 | 1 | no | — |
| 851 | C22 | — | 18 | 2 | no | — |
| 852 | C22 | — | 72 | 2 | no | — |
| 853 | C22 | — | 144 | 1 | no | — |
| 854 | C22 | — | 144 | 1 | no | — |
| 855 | C22 | — | 144 | 4 | no | — |
| 856 | C22 | — | 144 | 4 | no | — |
| 857 | C22 | #11796888 | 1 | 1 | yes | characteristic |
| 858 | C4 | — | 4 | 1 | no | — |
| 859 | C4 | — | 9 | 1 | no | — |
| 860 | C4 | — | 9 | 1 | no | — |
| 861 | C4 | — | 16 | 1 | no | — |
| 862 | C4 | — | 36 | 1 | no | — |
| 863 | C4 | — | 144 | 1 | no | — |
| 864 | C4 | #11774180 | 1 | 1 | yes | characteristic |
| 865 | C4 | #11796829 | 1 | 1 | yes | characteristic |
| 866 | C3 | — | 2 | 1 | no | — |
| 867 | C3 | D3×#7390 | 1 | 2 | yes | complemented |
| 868 | C2 | — | 2 | 1 | no | — |
| 869 | C2 | — | 9 | 2 | no | — |
| 870 | C2 | — | 16 | 2 | no | — |
| 871 | C2 | — | 18 | 1 | no | — |
| 872 | C2 | — | 144 | 2 | no | — |
| 873 | C2 | #72222650 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72222535 | C2 | semidirect |
| 2. #72222533 | C2 | semidirect |
| 4. C3×#10682658 | C2 | semidirect |
| 5. #72222480 | C2 | semidirect |
| 20. C3×#67519 | C22 | semidirect |
| 22. C3×#67514 | C22 | semidirect |
| 29. #10682658 | D3 | semidirect |
| 98. #67519 | C2×D3 | semidirect |
| 99. #67514 | C2×D3 | semidirect |
| 708. C3⋊D3 | #7390 | semidirect |
| 798. C32 | C2×#7390 | semidirect |
| 867. C3 | D3×#7390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72222535 | 2 |
| #72222533 | 2 |
| D3×#7390 | 3 |
| C3×#10682658 | 2 |
| #72222480 | 2 |
| C3⋊D3×#2177 | 2 |