Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
4210 conjugacy classes of subgroups.
The subgroup lattice has 1078 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11724619 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11724578 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C2×#89026 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#64308 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#64307 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | D3×#3811 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #11724415 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | D3×#3802 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #11724385 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #11724381 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #11724376 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #10596692 | — | 3 | 2 | no | maximal |
| 13 | #10596675 | — | 3 | 1 | no | maximal |
| 14 | C22×D3×C3⋊D3 | C22 | 1 | 2 | yes | complemented |
| 15 | C2×D33 | C22 | 1 | 4 | yes | complemented |
| 16 | C2×C4×C3⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C3×#3828 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×C3×C4⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C32×#235 | C22 | 1 | 2 | yes | complemented |
| 20 | C2×C32×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #89049 | C22 | 1 | 4 | yes | complemented |
| 22 | C4⋊#1113 | C22 | 1 | 4 | yes | complemented |
| 23 | #89041 | C22 | 1 | 4 | yes | complemented |
| 24 | #89039 | C22 | 1 | 4 | yes | complemented |
| 25 | C2×#6290 | C22 | 1 | 2 | yes | complemented |
| 26 | #89029 | C22 | 1 | 4 | yes | complemented |
| 27 | #89026 | C22 | 1 | 4 | yes | complemented |
| 28 | #89026 | C22 | 1 | 2 | yes | complemented |
| 29 | #89026 | C22 | 1 | 4 | yes | complemented |
| 30 | C4×D3×C3⋊D3 | C22 | 1 | 4 | yes | complemented |
| 31 | #89020 | C22 | 1 | 4 | yes | complemented |
| 32 | #89019 | C22 | 1 | 2 | yes | complemented |
| 33 | #89017 | C22 | 1 | 2 | yes | complemented |
| 34 | #89015 | C22 | 1 | 2 | yes | complemented |
| 35 | C3×#3811 | C22 | 1 | 4 | yes | complemented |
| 36 | C3×D3×#67 | C22 | 1 | 8 | yes | complemented |
| 37 | C3×#3802 | C22 | 1 | 4 | yes | complemented |
| 38 | C3×D3×D12 | C22 | 1 | 4 | yes | complemented |
| 39 | C3×D3×D12 | C22 | 1 | 4 | yes | complemented |
| 40 | C3×#3799 | C22 | 1 | 4 | yes | complemented |
| 41 | C3×#3796 | C22 | 1 | 4 | yes | complemented |
| 42 | C3×#3795 | C22 | 1 | 4 | yes | complemented |
| 43 | #88961 | C22 | 1 | 8 | yes | complemented |
| 44 | #88960 | C22 | 1 | 8 | yes | complemented |
| 45 | #88955 | C22 | 1 | 4 | yes | complemented |
| 46 | #88954 | C22 | 1 | 8 | yes | complemented |
| 47 | #88953 | C22 | 1 | 8 | yes | complemented |
| 48 | #88952 | C22 | 1 | 4 | yes | complemented |
| 49 | D3×#626 | C22 | 1 | 8 | yes | complemented |
| 50 | D3×#625 | C22 | 1 | 8 | yes | complemented |
| 51 | D3×#624 | C22 | 1 | 4 | yes | complemented |
| 52 | #41×C3⋊D3 | — | 3 | 2 | no | — |
| 53 | C2×D4×C3⋊D3 | — | 3 | 1 | no | — |
| 54 | C3×#1009 | — | 3 | 2 | no | — |
| 55 | C3×#1009 | — | 3 | 2 | no | — |
| 56 | C3×#1004 | — | 3 | 2 | no | — |
| 57 | #64330 | — | 3 | 4 | no | — |
| 58 | C2×#3811 | — | 3 | 4 | no | — |
| 59 | #64320 | — | 3 | 4 | no | — |
| 60 | #64319 | — | 3 | 4 | no | — |
| 61 | #64314 | — | 3 | 4 | no | — |
| 62 | #64314 | — | 3 | 4 | no | — |
| 63 | #64313 | — | 3 | 8 | no | — |
| 64 | #64313 | — | 3 | 4 | no | — |
| 65 | #64312 | — | 3 | 4 | no | — |
| 66 | D32×D4 | — | 3 | 8 | no | — |
| 67 | D32×D4 | — | 3 | 4 | no | — |
| 68 | D32×D4 | — | 3 | 4 | no | — |
| 69 | #64308 | — | 3 | 1 | no | — |
| 70 | #64308 | D3 | 1 | 1 | yes | characteristic, complemented |
| 71 | #64307 | — | 3 | 2 | no | — |
| 72 | #64307 | — | 3 | 4 | no | — |
| 73 | #64307 | — | 3 | 4 | no | — |
| 74 | #64307 | D3 | 1 | 2 | yes | complemented |
| 75 | #64306 | — | 3 | 2 | no | — |
| 76 | #64306 | — | 3 | 2 | no | — |
| 77 | #64306 | — | 3 | 4 | no | — |
| 78 | #64306 | — | 6 | 2 | no | — |
| 79 | C2×#3802 | — | 3 | 2 | no | — |
| 80 | C2×#3802 | — | 3 | 4 | no | — |
| 81 | C2×#3802 | — | 6 | 1 | no | — |
| 82 | C22×C3⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 83 | C22×C3×C3⋊D3 | C23 | 1 | 2 | yes | complemented |
| 84 | C22×C32×D3 | C23 | 1 | 2 | yes | complemented |
| 85 | C2×#1113 | C23 | 1 | 4 | yes | complemented |
| 86 | C2×D3×C3⋊D3 | — | 4 | 4 | no | — |
| 87 | C2×D3×C3⋊D3 | C23 | 1 | 4 | yes | — |
| 88 | C2×D3×C3⋊D3 | C23 | 1 | 4 | yes | — |
| 89 | C2×D3×C3⋊D3 | C23 | 1 | 4 | yes | complemented |
| 90 | C2×C3×D32 | C23 | 1 | 4 | yes | complemented |
| 91 | C2×C3×D32 | C23 | 1 | 8 | yes | complemented |
| 92 | D33 | — | 4 | 8 | no | — |
| 93 | C2×C33×C4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 94 | C2×C3⋊(C3⋊Dic3) | C23 | 1 | 1 | yes | characteristic, complemented |
| 95 | C4×C3⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 96 | C4×C3⋊(C3⋊D3) | C23 | 1 | 2 | yes | complemented |
| 97 | C3×#638 | C23 | 1 | 4 | yes | complemented |
| 98 | C3×C4⋊(C3⋊D3) | C23 | 1 | 4 | yes | complemented |
| 99 | C3×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | complemented |
| 100 | C3×C4×C3⋊D3 | C23 | 1 | 4 | yes | complemented |
| 101 | C3×#634 | C23 | 1 | 2 | yes | complemented |
| 102 | C32×#67 | C23 | 1 | 4 | yes | complemented |
| 103 | C32×D12 | C23 | 1 | 4 | yes | complemented |
| 104 | C32×D12 | C23 | 1 | 2 | yes | complemented |
| 105 | C32×C4×D3 | C23 | 1 | 4 | yes | complemented |
| 106 | C32×Dic6 | C23 | 1 | 2 | yes | complemented |
| 107 | #6295 | C23 | 1 | 8 | yes | complemented |
| 108 | #6294 | C23 | 1 | 4 | yes | complemented |
| 109 | #6293 | C23 | 1 | 4 | yes | complemented |
| 110 | #6292 | C23 | 1 | 4 | yes | complemented |
| 111 | #6291 | C23 | 1 | 4 | yes | complemented |
| 112 | #6290 | C23 | 1 | 4 | yes | complemented |
| 113 | #6290 | C23 | 1 | 8 | yes | complemented |
| 114 | #6289 | C23 | 1 | 4 | yes | — |
| 115 | Dic3×C3⋊D3 | C23 | 1 | 4 | yes | complemented |
| 116 | D3×C3⋊Dic3 | C23 | 1 | 4 | yes | complemented |
| 117 | C3×#626 | C23 | 1 | 8 | yes | complemented |
| 118 | C3×#626 | C23 | 1 | 8 | yes | complemented |
| 119 | C3×#625 | C23 | 1 | 8 | yes | complemented |
| 120 | C3×#624 | C23 | 1 | 4 | yes | complemented |
| 121 | C3×D3×Dic3 | C23 | 1 | 8 | yes | complemented |
| 122 | D3×H(5,𝔽2) | — | 9 | 2 | no | — |
| 123 | D3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 124 | C23×C3⋊D3 | — | 3 | 2 | no | — |
| 125 | C22×D32 | — | 3 | 4 | no | — |
| 126 | C22×D32 | — | 3 | 8 | no | — |
| 127 | C22×D32 | — | 3 | 4 | no | — |
| 128 | C22×D32 | — | 6 | 2 | no | — |
| 129 | C32×#41 | — | 3 | 2 | no | — |
| 130 | C2×C32×D4 | — | 3 | 1 | no | — |
| 131 | C2×#638 | — | 3 | 2 | no | — |
| 132 | #3832 | — | 3 | 2 | no | — |
| 133 | Q8×C3⋊D3 | — | 3 | 2 | no | — |
| 134 | #3830 | — | 3 | 4 | no | — |
| 135 | #3830 | — | 3 | 2 | no | — |
| 136 | D4×C3⋊D3 | — | 3 | 4 | no | — |
| 137 | D4×C3⋊D3 | — | 3 | 2 | no | — |
| 138 | D4×C3⋊D3 | — | 3 | 4 | no | — |
| 139 | D4×C3⋊D3 | — | 3 | 4 | no | — |
| 140 | #3828 | — | 3 | 4 | no | — |
| 141 | #3828 | C2×D3 | 1 | 2 | yes | complemented |
| 142 | C2×C4⋊(C3⋊D3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 143 | C2×C4×C3⋊D3 | — | 3 | 2 | no | — |
| 144 | C2×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 145 | C2×C4×C3⋊D3 | — | 3 | 4 | no | — |
| 146 | C2×C4×C3⋊D3 | — | 6 | 1 | no | — |
| 147 | C2×C4×C3⋊D3 | — | 6 | 2 | no | — |
| 148 | C2×C4×C3⋊D3 | — | 12 | 1 | no | — |
| 149 | C2×C3×#67 | — | 3 | 8 | no | — |
| 150 | C3×#239 | — | 3 | 4 | no | — |
| 151 | C3×#239 | — | 3 | 4 | no | — |
| 152 | C3×#237 | — | 3 | 4 | no | — |
| 153 | C3×#237 | — | 3 | 4 | no | — |
| 154 | C3×D3×D4 | — | 3 | 8 | no | — |
| 155 | C3×D3×D4 | — | 3 | 8 | no | — |
| 156 | C3×D3×D4 | — | 3 | 4 | no | — |
| 157 | C3×D3×D4 | — | 3 | 4 | no | — |
| 158 | C3×D3×D4 | — | 3 | 4 | no | — |
| 159 | C3×D3×D4 | — | 3 | 4 | no | — |
| 160 | C3×#235 | — | 2 | 2 | no | — |
| 161 | C3×#235 | — | 3 | 2 | no | — |
| 162 | C3×#235 | — | 3 | 2 | no | — |
| 163 | C3×#235 | — | 3 | 4 | no | — |
| 164 | C3×#235 | — | 3 | 4 | no | — |
| 165 | C3×#235 | — | 6 | 2 | no | — |
| 166 | C3×#235 | C2×D3 | 1 | 2 | yes | complemented |
| 167 | C3×#235 | C2×D3 | 1 | 2 | yes | complemented |
| 168 | C2×C3×D12 | — | 2 | 1 | no | — |
| 169 | C2×C3×D12 | — | 3 | 2 | no | — |
| 170 | C2×C3×D12 | — | 3 | 4 | no | — |
| 171 | C2×C3×D12 | — | 3 | 4 | no | — |
| 172 | C2×C3×D12 | — | 6 | 1 | no | — |
| 173 | C2×C3×D12 | C2×D3 | 1 | 2 | yes | complemented |
| 174 | #3811 | — | 3 | 4 | no | — |
| 175 | #3811 | — | 3 | 4 | no | — |
| 176 | #3811 | — | 3 | 4 | no | — |
| 177 | #3811 | — | 3 | 4 | no | — |
| 178 | #3811 | — | 3 | 8 | no | — |
| 179 | #3811 | — | 3 | 8 | no | — |
| 180 | #3811 | — | 3 | 4 | no | — |
| 181 | #3811 | — | 6 | 4 | no | — |
| 182 | #3811 | C2×D3 | 1 | 4 | yes | complemented |
| 183 | D3×#67 | — | 3 | 8 | no | — |
| 184 | D3×#67 | — | 3 | 8 | no | — |
| 185 | D3×#67 | — | 3 | 8 | no | — |
| 186 | D3×#67 | — | 3 | 8 | no | — |
| 187 | D3×#67 | — | 3 | 8 | no | — |
| 188 | D3×#67 | — | 3 | 8 | no | — |
| 189 | D3×#67 | — | 3 | 8 | no | — |
| 190 | D3×#67 | C2×D3 | 1 | 8 | yes | complemented |
| 191 | C2×#626 | — | 3 | 8 | no | — |
| 192 | C2×#625 | — | 3 | 4 | no | — |
| 193 | C2×#625 | — | 3 | 8 | no | — |
| 194 | C2×#625 | — | 6 | 2 | no | — |
| 195 | C2×#624 | — | 3 | 4 | no | — |
| 196 | #3805 | — | 3 | 4 | no | — |
| 197 | #3805 | — | 3 | 4 | no | — |
| 198 | #3805 | — | 3 | 8 | no | — |
| 199 | #3805 | — | 6 | 4 | no | — |
| 200 | #3804 | — | 3 | 8 | no | — |
| 201 | #3804 | — | 3 | 8 | no | — |
| 202 | #3802 | — | 3 | 8 | no | — |
| 203 | #3802 | — | 3 | 4 | no | — |
| 204 | #3802 | — | 3 | 2 | no | — |
| 205 | #3802 | — | 3 | 4 | no | — |
| 206 | #3802 | — | 3 | 4 | no | — |
| 207 | #3802 | — | 3 | 4 | no | — |
| 208 | #3802 | — | 3 | 4 | no | — |
| 209 | #3802 | — | 3 | 2 | no | — |
| 210 | #3802 | — | 3 | 8 | no | — |
| 211 | #3802 | — | 6 | 4 | no | — |
| 212 | #3802 | — | 6 | 4 | no | — |
| 213 | #3802 | — | 6 | 2 | no | — |
| 214 | #3802 | C2×D3 | 1 | 4 | yes | complemented |
| 215 | D3×D12 | — | 3 | 8 | no | — |
| 216 | D3×D12 | — | 3 | 4 | no | — |
| 217 | D3×D12 | — | 3 | 4 | no | — |
| 218 | D3×D12 | — | 3 | 8 | no | — |
| 219 | D3×D12 | C2×D3 | 1 | 4 | yes | complemented |
| 220 | D3×D12 | C2×D3 | 1 | 4 | yes | complemented |
| 221 | C4×D32 | — | 3 | 4 | no | — |
| 222 | C4×D32 | — | 3 | 4 | no | — |
| 223 | C4×D32 | — | 3 | 8 | no | — |
| 224 | C4×D32 | — | 6 | 4 | no | — |
| 225 | #3799 | — | 3 | 4 | no | — |
| 226 | #3799 | C2×D3 | 1 | 4 | yes | complemented |
| 227 | #3798 | — | 3 | 4 | no | — |
| 228 | #3798 | — | 3 | 4 | no | — |
| 229 | #3798 | — | 3 | 8 | no | — |
| 230 | #3798 | — | 6 | 4 | no | — |
| 231 | #3797 | — | 3 | 2 | no | — |
| 232 | #3797 | — | 3 | 2 | no | — |
| 233 | #3797 | — | 6 | 2 | no | — |
| 234 | #3796 | — | 3 | 4 | no | — |
| 235 | #3796 | — | 3 | 2 | no | — |
| 236 | #3796 | — | 3 | 2 | no | — |
| 237 | #3796 | — | 3 | 2 | no | — |
| 238 | #3796 | — | 3 | 2 | no | — |
| 239 | #3796 | — | 6 | 2 | no | — |
| 240 | #3796 | — | 6 | 2 | no | — |
| 241 | #3796 | C2×D3 | 1 | 4 | yes | complemented |
| 242 | #3795 | — | 3 | 4 | no | — |
| 243 | #3795 | — | 3 | 8 | no | — |
| 244 | #3795 | — | 3 | 8 | no | — |
| 245 | #3795 | C2×D3 | 1 | 4 | yes | complemented |
| 246 | C22×C33 | C24 | 1 | 1 | yes | characteristic |
| 247 | C2×C3⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 248 | C2×C3⋊(C3⋊D3) | C24 | 1 | 1 | yes | characteristic |
| 249 | C2×C3⋊(C3⋊D3) | C24 | 1 | 1 | yes | characteristic |
| 250 | C2×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 251 | C2×C3×C3⋊D3 | C24 | 1 | 4 | yes | — |
| 252 | C2×C3×C3⋊D3 | C24 | 1 | 4 | yes | — |
| 253 | C2×C32×D3 | — | 4 | 2 | no | — |
| 254 | C2×C32×D3 | C24 | 1 | 4 | yes | — |
| 255 | C2×C32×D3 | C24 | 1 | 4 | yes | — |
| 256 | #1113 | — | 4 | 4 | no | — |
| 257 | D3×C3⋊D3 | — | 2 | 8 | no | — |
| 258 | D3×C3⋊D3 | — | 2 | 8 | no | — |
| 259 | D3×C3⋊D3 | — | 4 | 4 | no | — |
| 260 | C3×D32 | — | 4 | 4 | no | — |
| 261 | C3×D32 | — | 4 | 8 | no | — |
| 262 | C33×C4 | C24 | 1 | 2 | yes | — |
| 263 | C3⋊(C3⋊Dic3) | C24 | 1 | 2 | yes | — |
| 264 | C3×C3⋊Dic3 | C24 | 1 | 4 | yes | — |
| 265 | C32×Dic3 | C24 | 1 | 4 | yes | — |
| 266 | C3×H(5,𝔽2) | — | 9 | 2 | no | — |
| 267 | C3×H(5,𝔽2) | — | 9 | 1 | no | — |
| 268 | #1009 | — | 3 | 2 | no | — |
| 269 | #1009 | — | 3 | 2 | no | — |
| 270 | #1009 | — | 9 | 2 | no | — |
| 271 | #1009 | — | 9 | 4 | no | — |
| 272 | #1009 | — | 9 | 4 | no | — |
| 273 | #1009 | — | 9 | 4 | no | — |
| 274 | D3×#41 | — | 9 | 4 | no | — |
| 275 | D3×#41 | — | 9 | 4 | no | — |
| 276 | D3×#41 | — | 9 | 2 | no | — |
| 277 | D3×#41 | — | 9 | 2 | no | — |
| 278 | D3×#41 | — | 9 | 4 | no | — |
| 279 | D3×#41 | — | 9 | 2 | no | — |
| 280 | D3×#41 | — | 18 | 2 | no | — |
| 281 | #1004 | — | 3 | 2 | no | — |
| 282 | #1004 | — | 9 | 1 | no | — |
| 283 | #1004 | — | 9 | 4 | no | — |
| 284 | #1004 | — | 9 | 4 | no | — |
| 285 | #1004 | — | 9 | 4 | no | — |
| 286 | #1004 | — | 9 | 4 | no | — |
| 287 | #1004 | — | 9 | 8 | no | — |
| 288 | C2×D3×D4 | — | 9 | 4 | no | — |
| 289 | C2×D3×D4 | — | 9 | 4 | no | — |
| 290 | C2×D3×D4 | — | 9 | 2 | no | — |
| 291 | C2×D3×D4 | — | 9 | 4 | no | — |
| 292 | C2×D3×D4 | — | 9 | 4 | no | — |
| 293 | C2×D3×D4 | — | 9 | 8 | no | — |
| 294 | C2×D3×D4 | — | 9 | 1 | no | — |
| 295 | C2×D3×D4 | — | 18 | 1 | no | — |
| 296 | C23×C32 | — | 3 | 2 | no | — |
| 297 | C22×C3⋊D3 | — | 3 | 2 | no | — |
| 298 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 299 | C22×C3⋊D3 | — | 3 | 4 | no | — |
| 300 | C22×C3⋊D3 | — | 3 | 4 | no | — |
| 301 | C22×C3⋊D3 | — | 3 | 4 | no | — |
| 302 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 303 | C22×C3⋊D3 | — | 6 | 2 | no | — |
| 304 | C22×C3⋊D3 | — | 12 | 1 | no | — |
| 305 | C22×C3⋊D3 | — | 12 | 4 | no | — |
| 306 | C22×C3⋊D3 | C22×D3 | 1 | 2 | yes | complemented |
| 307 | C22×C3×D3 | — | 2 | 2 | no | — |
| 308 | C22×C3×D3 | — | 3 | 4 | no | — |
| 309 | C22×C3×D3 | — | 3 | 8 | no | — |
| 310 | C22×C3×D3 | — | 3 | 8 | no | — |
| 311 | C22×C3×D3 | — | 3 | 8 | no | — |
| 312 | C22×C3×D3 | — | 6 | 2 | no | — |
| 313 | C22×C3×D3 | C22×D3 | 1 | 4 | yes | complemented |
| 314 | C2×D32 | — | 3 | 4 | no | — |
| 315 | C2×D32 | — | 3 | 8 | no | — |
| 316 | C2×D32 | — | 3 | 4 | no | — |
| 317 | C2×D32 | — | 3 | 8 | no | — |
| 318 | C2×D32 | — | 3 | 4 | no | — |
| 319 | C2×D32 | — | 3 | 8 | no | — |
| 320 | C2×D32 | — | 6 | 4 | no | — |
| 321 | C2×D32 | — | 6 | 4 | no | — |
| 322 | C2×D32 | — | 6 | 4 | no | — |
| 323 | C2×D32 | — | 12 | 16 | no | — |
| 324 | C2×D32 | — | 12 | 8 | no | — |
| 325 | C2×D32 | — | 12 | 8 | no | — |
| 326 | C2×D32 | — | 12 | 8 | no | — |
| 327 | C2×D32 | C22×D3 | 1 | 8 | yes | complemented |
| 328 | C2×D32 | C22×D3 | 1 | 4 | yes | complemented |
| 329 | C32×Q8 | — | 3 | 2 | no | — |
| 330 | C32×D4 | — | 3 | 4 | no | — |
| 331 | C32×D4 | — | 3 | 2 | no | — |
| 332 | C32×D4 | — | 3 | 4 | no | — |
| 333 | C2×C32×C4 | — | 2 | 1 | no | — |
| 334 | C2×C32×C4 | — | 2 | 2 | no | — |
| 335 | C2×C32×C4 | — | 3 | 4 | no | — |
| 336 | C2×C32×C4 | — | 4 | 1 | no | — |
| 337 | C2×C32×C4 | C22×D3 | 1 | 2 | yes | complemented |
| 338 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 339 | #638 | — | 3 | 8 | no | — |
| 340 | #638 | — | 3 | 4 | no | — |
| 341 | #638 | — | 3 | 4 | no | — |
| 342 | #638 | C22×D3 | 1 | 4 | yes | complemented |
| 343 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 344 | C2×C3⋊Dic3 | — | 3 | 2 | no | — |
| 345 | C2×C3⋊Dic3 | — | 3 | 4 | no | — |
| 346 | C2×C3⋊Dic3 | — | 6 | 2 | no | — |
| 347 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 348 | C2×C3⋊Dic3 | — | 12 | 1 | no | — |
| 349 | C4⋊(C3⋊D3) | — | 3 | 4 | no | — |
| 350 | C4⋊(C3⋊D3) | C22×D3 | 1 | 4 | yes | complemented |
| 351 | C4⋊(C3⋊D3) | C22×D3 | 1 | 2 | yes | complemented |
| 352 | C4×C3⋊D3 | — | 3 | 4 | no | — |
| 353 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 354 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 355 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 356 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 357 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 358 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 359 | C4×C3⋊D3 | — | 3 | 4 | no | — |
| 360 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 361 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 362 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 363 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 364 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 365 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 366 | C4×C3⋊D3 | — | 12 | 2 | no | — |
| 367 | C4×C3⋊D3 | — | 12 | 2 | no | — |
| 368 | C4×C3⋊D3 | C22×D3 | 1 | 4 | yes | complemented |
| 369 | #634 | — | 3 | 4 | no | — |
| 370 | #634 | C22×D3 | 1 | 2 | yes | complemented |
| 371 | C3×#67 | — | 2 | 4 | no | — |
| 372 | C3×#67 | — | 3 | 4 | no | — |
| 373 | C3×#67 | — | 3 | 4 | no | — |
| 374 | C3×#67 | — | 3 | 8 | no | — |
| 375 | C3×#67 | — | 3 | 8 | no | — |
| 376 | C3×#67 | — | 3 | 8 | no | — |
| 377 | C3×#67 | — | 3 | 8 | no | — |
| 378 | C3×#67 | — | 6 | 4 | no | — |
| 379 | C3×#67 | C22×D3 | 1 | 4 | yes | complemented |
| 380 | C3×#67 | C22×D3 | 1 | 4 | yes | complemented |
| 381 | C2×C3×Dic3 | — | 3 | 8 | no | — |
| 382 | C3×D12 | — | 2 | 2 | no | — |
| 383 | C3×D12 | — | 2 | 4 | no | — |
| 384 | C3×D12 | — | 3 | 8 | no | — |
| 385 | C3×D12 | — | 3 | 8 | no | — |
| 386 | C3×D12 | — | 3 | 4 | no | — |
| 387 | C3×D12 | — | 3 | 2 | no | — |
| 388 | C3×D12 | — | 3 | 4 | no | — |
| 389 | C3×D12 | — | 3 | 2 | no | — |
| 390 | C3×D12 | — | 6 | 2 | no | — |
| 391 | C3×D12 | — | 6 | 4 | no | — |
| 392 | C3×D12 | C22×D3 | 1 | 4 | yes | complemented |
| 393 | C3×D12 | C22×D3 | 1 | 2 | yes | complemented |
| 394 | C3×D12 | C22×D3 | 1 | 2 | yes | complemented |
| 395 | C3×D12 | C22×D3 | 1 | 4 | yes | complemented |
| 396 | C3×C4×D3 | — | 2 | 4 | no | — |
| 397 | C3×C4×D3 | — | 3 | 8 | no | — |
| 398 | C3×C4×D3 | — | 3 | 4 | no | — |
| 399 | C3×C4×D3 | — | 3 | 4 | no | — |
| 400 | C3×C4×D3 | — | 3 | 8 | no | — |
| 401 | C3×C4×D3 | — | 6 | 4 | no | — |
| 402 | C3×C4×D3 | C22×D3 | 1 | 4 | yes | complemented |
| 403 | C3×C4×D3 | C22×D3 | 1 | 4 | yes | complemented |
| 404 | C3×Dic6 | — | 2 | 2 | no | — |
| 405 | C3×Dic6 | — | 3 | 2 | no | — |
| 406 | C3×Dic6 | — | 3 | 2 | no | — |
| 407 | C3×Dic6 | — | 6 | 2 | no | — |
| 408 | C3×Dic6 | C22×D3 | 1 | 2 | yes | complemented |
| 409 | C3×Dic6 | C22×D3 | 1 | 2 | yes | complemented |
| 410 | #627 | — | 3 | 4 | no | — |
| 411 | #627 | — | 3 | 4 | no | — |
| 412 | #627 | — | 6 | 4 | no | — |
| 413 | #626 | — | 3 | 8 | no | — |
| 414 | #626 | — | 3 | 8 | no | — |
| 415 | #626 | — | 3 | 4 | no | — |
| 416 | #626 | — | 3 | 4 | no | — |
| 417 | #626 | — | 3 | 4 | no | — |
| 418 | #626 | — | 3 | 4 | no | — |
| 419 | #626 | — | 6 | 4 | no | — |
| 420 | #626 | — | 6 | 4 | no | — |
| 421 | #626 | C22×D3 | 1 | 8 | yes | complemented |
| 422 | #626 | C22×D3 | 1 | 8 | yes | complemented |
| 423 | #625 | — | 3 | 8 | no | — |
| 424 | #625 | — | 3 | 4 | no | — |
| 425 | #625 | — | 3 | 8 | no | — |
| 426 | #625 | — | 3 | 4 | no | — |
| 427 | #625 | — | 3 | 8 | no | — |
| 428 | #625 | — | 6 | 4 | no | — |
| 429 | #625 | — | 6 | 8 | no | — |
| 430 | #625 | C22×D3 | 1 | 8 | yes | complemented |
| 431 | #624 | — | 3 | 4 | no | — |
| 432 | #624 | — | 3 | 4 | no | — |
| 433 | #624 | — | 3 | 4 | no | — |
| 434 | #624 | — | 6 | 4 | no | — |
| 435 | #624 | C22×D3 | 1 | 4 | yes | complemented |
| 436 | D3×Dic3 | — | 3 | 4 | no | — |
| 437 | D3×Dic3 | — | 3 | 4 | no | — |
| 438 | D3×Dic3 | — | 3 | 8 | no | — |
| 439 | D3×Dic3 | — | 3 | 4 | no | — |
| 440 | D3×Dic3 | — | 3 | 4 | no | — |
| 441 | D3×Dic3 | — | 6 | 4 | no | — |
| 442 | D3×Dic3 | — | 6 | 4 | no | — |
| 443 | D3×Dic3 | C22×D3 | 1 | 8 | yes | complemented |
| 444 | C2×H(5,𝔽2) | — | 27 | 1 | no | Sylow |
| 445 | C2×C33 | — | 2 | 1 | no | — |
| 446 | C2×C33 | C25 | 1 | 1 | yes | characteristic |
| 447 | C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 448 | C3⋊(C3⋊D3) | H(5,𝔽2) | 1 | 2 | yes | complemented |
| 449 | C3×C3⋊D3 | — | 2 | 4 | no | — |
| 450 | C3×C3⋊D3 | — | 2 | 4 | no | — |
| 451 | C32×D3 | — | 2 | 4 | no | — |
| 452 | C32×D3 | — | 2 | 4 | no | — |
| 453 | C23×D3 | — | 9 | 4 | no | — |
| 454 | C23×D3 | — | 9 | 8 | no | — |
| 455 | C23×D3 | — | 9 | 4 | no | — |
| 456 | C23×D3 | — | 9 | 2 | no | — |
| 457 | C23×D3 | — | 18 | 2 | no | — |
| 458 | C3×#41 | — | 3 | 2 | no | — |
| 459 | C3×#41 | — | 3 | 2 | no | — |
| 460 | C3×#41 | — | 6 | 2 | no | — |
| 461 | C3×#41 | — | 9 | 4 | no | — |
| 462 | C3×#41 | — | 9 | 4 | no | — |
| 463 | C3×#41 | — | 9 | 4 | no | — |
| 464 | C3×#41 | — | 9 | 2 | no | — |
| 465 | C2×C3×D4 | — | 3 | 2 | no | — |
| 466 | C2×C3×D4 | — | 6 | 1 | no | — |
| 467 | C2×C3×D4 | — | 9 | 4 | no | — |
| 468 | C2×C3×D4 | — | 9 | 4 | no | — |
| 469 | C2×C3×D4 | — | 9 | 4 | no | — |
| 470 | C2×C3×D4 | — | 9 | 4 | no | — |
| 471 | C2×C3×D4 | — | 9 | 8 | no | — |
| 472 | C2×C3×D4 | — | 9 | 1 | no | — |
| 473 | C2×#67 | — | 3 | 8 | no | — |
| 474 | C2×#67 | — | 9 | 8 | no | — |
| 475 | C2×#67 | — | 9 | 4 | no | — |
| 476 | C2×#67 | — | 9 | 4 | no | — |
| 477 | C2×#67 | — | 9 | 8 | no | — |
| 478 | C2×#67 | — | 9 | 8 | no | — |
| 479 | C2×#67 | — | 9 | 8 | no | — |
| 480 | C2×#67 | — | 9 | 4 | no | — |
| 481 | C2×#67 | — | 9 | 2 | no | — |
| 482 | C2×#67 | — | 18 | 2 | no | — |
| 483 | #239 | — | 3 | 4 | no | — |
| 484 | #239 | — | 3 | 4 | no | — |
| 485 | #239 | — | 9 | 4 | no | — |
| 486 | #239 | — | 9 | 2 | no | — |
| 487 | #239 | — | 9 | 2 | no | — |
| 488 | #239 | — | 9 | 2 | no | — |
| 489 | #239 | — | 18 | 2 | no | — |
| 490 | D3×Q8 | — | 9 | 2 | no | — |
| 491 | D3×Q8 | — | 9 | 2 | no | — |
| 492 | D3×Q8 | — | 9 | 2 | no | — |
| 493 | D3×Q8 | — | 18 | 2 | no | — |
| 494 | #237 | — | 3 | 4 | no | — |
| 495 | #237 | — | 3 | 4 | no | — |
| 496 | #237 | — | 9 | 4 | no | — |
| 497 | #237 | — | 9 | 2 | no | — |
| 498 | #237 | — | 9 | 2 | no | — |
| 499 | #237 | — | 9 | 8 | no | — |
| 500 | #237 | — | 9 | 8 | no | — |
| 501 | #237 | — | 9 | 8 | no | — |
| 502 | #237 | — | 9 | 4 | no | — |
| 503 | #237 | — | 9 | 4 | no | — |
| 504 | #237 | — | 9 | 4 | no | — |
| 505 | #237 | — | 9 | 2 | no | — |
| 506 | #237 | — | 18 | 2 | no | — |
| 507 | #237 | — | 18 | 4 | no | — |
| 508 | D3×D4 | — | 3 | 8 | no | — |
| 509 | D3×D4 | — | 3 | 8 | no | — |
| 510 | D3×D4 | — | 3 | 4 | no | — |
| 511 | D3×D4 | — | 3 | 4 | no | — |
| 512 | D3×D4 | — | 3 | 4 | no | — |
| 513 | D3×D4 | — | 3 | 4 | no | — |
| 514 | D3×D4 | — | 9 | 4 | no | — |
| 515 | D3×D4 | — | 9 | 4 | no | — |
| 516 | D3×D4 | — | 9 | 8 | no | — |
| 517 | D3×D4 | — | 9 | 8 | no | — |
| 518 | D3×D4 | — | 9 | 8 | no | — |
| 519 | D3×D4 | — | 9 | 8 | no | — |
| 520 | D3×D4 | — | 9 | 2 | no | — |
| 521 | D3×D4 | — | 9 | 4 | no | — |
| 522 | D3×D4 | — | 9 | 4 | no | — |
| 523 | D3×D4 | — | 9 | 2 | no | — |
| 524 | D3×D4 | — | 9 | 4 | no | — |
| 525 | D3×D4 | — | 9 | 4 | no | — |
| 526 | D3×D4 | — | 9 | 8 | no | — |
| 527 | D3×D4 | — | 9 | 8 | no | — |
| 528 | D3×D4 | — | 9 | 8 | no | — |
| 529 | D3×D4 | — | 9 | 4 | no | — |
| 530 | D3×D4 | — | 9 | 4 | no | — |
| 531 | D3×D4 | — | 9 | 8 | no | — |
| 532 | D3×D4 | — | 9 | 8 | no | — |
| 533 | D3×D4 | — | 9 | 8 | no | — |
| 534 | D3×D4 | — | 9 | 4 | no | — |
| 535 | D3×D4 | — | 9 | 2 | no | — |
| 536 | D3×D4 | — | 9 | 4 | no | — |
| 537 | D3×D4 | — | 9 | 4 | no | — |
| 538 | D3×D4 | — | 18 | 4 | no | — |
| 539 | D3×D4 | — | 18 | 4 | no | — |
| 540 | D3×D4 | — | 18 | 2 | no | — |
| 541 | D3×D4 | — | 18 | 4 | no | — |
| 542 | #235 | — | 3 | 2 | no | — |
| 543 | #235 | — | 3 | 2 | no | — |
| 544 | #235 | — | 3 | 4 | no | — |
| 545 | #235 | — | 3 | 4 | no | — |
| 546 | #235 | — | 6 | 2 | no | — |
| 547 | #235 | — | 9 | 4 | no | — |
| 548 | #235 | — | 9 | 8 | no | — |
| 549 | #235 | — | 9 | 8 | no | — |
| 550 | #235 | — | 9 | 4 | no | — |
| 551 | #235 | — | 9 | 4 | no | — |
| 552 | #235 | — | 9 | 8 | no | — |
| 553 | #235 | — | 9 | 4 | no | — |
| 554 | #235 | — | 18 | 4 | no | — |
| 555 | #235 | D32 | 1 | 2 | yes | complemented |
| 556 | C2×D12 | — | 3 | 2 | no | — |
| 557 | C2×D12 | — | 3 | 4 | no | — |
| 558 | C2×D12 | — | 3 | 4 | no | — |
| 559 | C2×D12 | — | 6 | 1 | no | — |
| 560 | C2×D12 | — | 9 | 4 | no | — |
| 561 | C2×D12 | — | 9 | 4 | no | — |
| 562 | C2×D12 | — | 9 | 8 | no | — |
| 563 | C2×D12 | D32 | 1 | 1 | yes | characteristic, complemented |
| 564 | C2×C4×D3 | — | 9 | 4 | no | — |
| 565 | C2×C4×D3 | — | 9 | 8 | no | — |
| 566 | C2×C4×D3 | — | 9 | 4 | no | — |
| 567 | C2×C4×D3 | — | 9 | 4 | no | — |
| 568 | C2×C4×D3 | — | 9 | 2 | no | — |
| 569 | C2×C4×D3 | — | 9 | 1 | no | — |
| 570 | C2×C4×D3 | — | 9 | 4 | no | — |
| 571 | C2×C4×D3 | — | 18 | 4 | no | — |
| 572 | C2×C4×D3 | — | 18 | 1 | no | — |
| 573 | C2×C4×D3 | — | 18 | 2 | no | — |
| 574 | C2×C4×D3 | — | 36 | 1 | no | — |
| 575 | C22×C32 | — | 2 | 1 | no | — |
| 576 | C22×C32 | — | 2 | 2 | no | — |
| 577 | C22×C32 | — | 3 | 4 | no | — |
| 578 | C22×C32 | — | 3 | 4 | no | — |
| 579 | C22×C32 | — | 4 | 1 | no | — |
| 580 | C22×C32 | — | 12 | 2 | no | — |
| 581 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 582 | C22×C32 | C23×D3 | 1 | 2 | yes | — |
| 583 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 584 | C2×C3⋊D3 | — | 3 | 2 | no | — |
| 585 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 586 | C2×C3⋊D3 | — | 3 | 2 | no | — |
| 587 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 588 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 589 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 590 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 591 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 592 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 593 | C2×C3⋊D3 | — | 6 | 8 | no | — |
| 594 | C2×C3⋊D3 | — | 6 | 8 | no | — |
| 595 | C2×C3⋊D3 | — | 6 | 4 | no | — |
| 596 | C2×C3⋊D3 | — | 6 | 4 | no | — |
| 597 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 598 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 599 | C2×C3⋊D3 | — | 12 | 4 | no | — |
| 600 | C2×C3⋊D3 | — | 12 | 4 | no | — |
| 601 | C2×C3⋊D3 | — | 12 | 4 | no | — |
| 602 | C2×C3⋊D3 | C23×D3 | 1 | 4 | yes | — |
| 603 | C2×C3⋊D3 | C23×D3 | 1 | 4 | yes | — |
| 604 | C2×C3×D3 | — | 2 | 4 | no | — |
| 605 | C2×C3×D3 | — | 2 | 4 | no | — |
| 606 | C2×C3×D3 | — | 3 | 8 | no | — |
| 607 | C2×C3×D3 | — | 3 | 4 | no | — |
| 608 | C2×C3×D3 | — | 3 | 4 | no | — |
| 609 | C2×C3×D3 | — | 4 | 4 | no | — |
| 610 | C2×C3×D3 | — | 4 | 4 | no | — |
| 611 | C2×C3×D3 | — | 6 | 4 | no | — |
| 612 | C2×C3×D3 | — | 6 | 4 | no | — |
| 613 | C2×C3×D3 | — | 12 | 8 | no | — |
| 614 | C2×C3×D3 | — | 12 | 8 | no | — |
| 615 | C2×C3×D3 | — | 12 | 8 | no | — |
| 616 | C2×C3×D3 | — | 12 | 4 | no | — |
| 617 | C2×C3×D3 | — | 12 | 4 | no | — |
| 618 | C2×C3×D3 | C23×D3 | 1 | 4 | yes | — |
| 619 | C2×C3×D3 | C23×D3 | 1 | 4 | yes | — |
| 620 | C2×C3×D3 | C23×D3 | 1 | 8 | yes | — |
| 621 | D32 | — | 4 | 4 | no | — |
| 622 | D32 | — | 4 | 8 | no | — |
| 623 | D32 | — | 6 | 8 | no | — |
| 624 | D32 | — | 6 | 8 | no | — |
| 625 | D32 | — | 6 | 16 | no | — |
| 626 | D32 | — | 12 | 8 | no | — |
| 627 | D32 | — | 12 | 8 | no | — |
| 628 | D32 | — | 12 | 8 | no | — |
| 629 | D32 | — | 12 | 8 | no | — |
| 630 | D32 | — | 12 | 8 | no | — |
| 631 | D32 | — | 12 | 4 | no | — |
| 632 | C32×C4 | — | 2 | 2 | no | — |
| 633 | C32×C4 | — | 2 | 2 | no | — |
| 634 | C32×C4 | — | 2 | 2 | no | — |
| 635 | C32×C4 | — | 3 | 4 | no | — |
| 636 | C32×C4 | — | 4 | 2 | no | — |
| 637 | C32×C4 | C23×D3 | 1 | 2 | yes | — |
| 638 | C32×C4 | C23×D3 | 1 | 2 | yes | — |
| 639 | C32×C4 | C23×D3 | 1 | 2 | yes | — |
| 640 | C3⋊Dic3 | — | 3 | 2 | no | — |
| 641 | C3⋊Dic3 | — | 3 | 2 | no | — |
| 642 | C3⋊Dic3 | — | 3 | 2 | no | — |
| 643 | C3⋊Dic3 | — | 6 | 2 | no | — |
| 644 | C3⋊Dic3 | — | 6 | 2 | no | — |
| 645 | C3⋊Dic3 | — | 6 | 2 | no | — |
| 646 | C3⋊Dic3 | — | 12 | 2 | no | — |
| 647 | C3⋊Dic3 | C23×D3 | 1 | 4 | yes | — |
| 648 | C3×Dic3 | — | 2 | 4 | no | — |
| 649 | C3×Dic3 | — | 3 | 4 | no | — |
| 650 | C3×Dic3 | — | 3 | 4 | no | — |
| 651 | C3×Dic3 | — | 6 | 4 | no | — |
| 652 | C3×Dic3 | C23×D3 | 1 | 4 | yes | — |
| 653 | C3×Dic3 | C23×D3 | 1 | 4 | yes | — |
| 654 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 655 | H(5,𝔽2) | — | 9 | 1 | no | — |
| 656 | H(5,𝔽2) | — | 27 | 4 | no | — |
| 657 | H(5,𝔽2) | — | 27 | 4 | no | — |
| 658 | H(5,𝔽2) | — | 27 | 4 | no | — |
| 659 | H(5,𝔽2) | — | 27 | 1 | no | — |
| 660 | C2×#41 | — | 27 | 2 | no | — |
| 661 | C2×#41 | — | 27 | 4 | no | — |
| 662 | C22×D4 | — | 27 | 1 | no | — |
| 663 | C22×D4 | — | 27 | 4 | no | — |
| 664 | C22×D4 | — | 27 | 4 | no | — |
| 665 | C33 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 666 | C23×C3 | — | 3 | 4 | no | — |
| 667 | C23×C3 | — | 6 | 2 | no | — |
| 668 | C23×C3 | — | 9 | 8 | no | — |
| 669 | C23×C3 | — | 9 | 4 | no | — |
| 670 | C23×C3 | — | 9 | 2 | no | — |
| 671 | C22×D3 | — | 3 | 4 | no | — |
| 672 | C22×D3 | — | 3 | 8 | no | — |
| 673 | C22×D3 | — | 3 | 8 | no | — |
| 674 | C22×D3 | — | 3 | 8 | no | — |
| 675 | C22×D3 | — | 6 | 2 | no | — |
| 676 | C22×D3 | — | 9 | 4 | no | — |
| 677 | C22×D3 | — | 9 | 8 | no | — |
| 678 | C22×D3 | — | 9 | 8 | no | — |
| 679 | C22×D3 | — | 9 | 4 | no | — |
| 680 | C22×D3 | — | 9 | 4 | no | — |
| 681 | C22×D3 | — | 9 | 8 | no | — |
| 682 | C22×D3 | — | 9 | 1 | no | — |
| 683 | C22×D3 | — | 9 | 2 | no | — |
| 684 | C22×D3 | — | 9 | 4 | no | — |
| 685 | C22×D3 | — | 9 | 4 | no | — |
| 686 | C22×D3 | — | 9 | 4 | no | — |
| 687 | C22×D3 | — | 18 | 4 | no | — |
| 688 | C22×D3 | — | 18 | 4 | no | — |
| 689 | C22×D3 | — | 18 | 4 | no | — |
| 690 | C22×D3 | — | 18 | 1 | no | — |
| 691 | C22×D3 | — | 18 | 2 | no | — |
| 692 | C22×D3 | — | 36 | 1 | no | — |
| 693 | C22×D3 | — | 36 | 4 | no | — |
| 694 | C22×D3 | — | 36 | 8 | no | — |
| 695 | C22×D3 | — | 36 | 16 | no | — |
| 696 | C22×D3 | — | 36 | 8 | no | — |
| 697 | C22×D3 | — | 36 | 8 | no | — |
| 698 | C22×D3 | C2×D32 | 1 | 2 | yes | complemented |
| 699 | C3×Q8 | — | 3 | 2 | no | — |
| 700 | C3×Q8 | — | 3 | 2 | no | — |
| 701 | C3×Q8 | — | 6 | 2 | no | — |
| 702 | C3×Q8 | — | 9 | 2 | no | — |
| 703 | C3×D4 | — | 3 | 4 | no | — |
| 704 | C3×D4 | — | 3 | 4 | no | — |
| 705 | C3×D4 | — | 3 | 2 | no | — |
| 706 | C3×D4 | — | 3 | 2 | no | — |
| 707 | C3×D4 | — | 3 | 4 | no | — |
| 708 | C3×D4 | — | 3 | 4 | no | — |
| 709 | C3×D4 | — | 6 | 4 | no | — |
| 710 | C3×D4 | — | 6 | 2 | no | — |
| 711 | C3×D4 | — | 6 | 4 | no | — |
| 712 | C3×D4 | — | 9 | 8 | no | — |
| 713 | C3×D4 | — | 9 | 8 | no | — |
| 714 | C3×D4 | — | 9 | 8 | no | — |
| 715 | C3×D4 | — | 9 | 4 | no | — |
| 716 | C3×D4 | — | 9 | 4 | no | — |
| 717 | C3×D4 | — | 9 | 2 | no | — |
| 718 | C2×C3×C4 | — | 2 | 1 | no | — |
| 719 | C2×C3×C4 | — | 2 | 2 | no | — |
| 720 | C2×C3×C4 | — | 3 | 4 | no | — |
| 721 | C2×C3×C4 | — | 3 | 4 | no | — |
| 722 | C2×C3×C4 | — | 4 | 1 | no | — |
| 723 | C2×C3×C4 | — | 6 | 4 | no | — |
| 724 | C2×C3×C4 | — | 9 | 4 | no | — |
| 725 | C2×C3×C4 | — | 9 | 8 | no | — |
| 726 | C2×C3×C4 | — | 9 | 4 | no | — |
| 727 | C2×C3×C4 | C2×D32 | 1 | 2 | yes | complemented |
| 728 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 729 | #67 | — | 3 | 4 | no | — |
| 730 | #67 | — | 3 | 4 | no | — |
| 731 | #67 | — | 3 | 8 | no | — |
| 732 | #67 | — | 3 | 8 | no | — |
| 733 | #67 | — | 3 | 8 | no | — |
| 734 | #67 | — | 3 | 8 | no | — |
| 735 | #67 | — | 6 | 4 | no | — |
| 736 | #67 | — | 9 | 8 | no | — |
| 737 | #67 | — | 9 | 8 | no | — |
| 738 | #67 | — | 9 | 4 | no | — |
| 739 | #67 | — | 9 | 4 | no | — |
| 740 | #67 | — | 9 | 8 | no | — |
| 741 | #67 | — | 9 | 8 | no | — |
| 742 | #67 | — | 9 | 4 | no | — |
| 743 | #67 | — | 9 | 4 | no | — |
| 744 | #67 | — | 9 | 8 | no | — |
| 745 | #67 | — | 9 | 4 | no | — |
| 746 | #67 | — | 9 | 4 | no | — |
| 747 | #67 | — | 18 | 4 | no | — |
| 748 | #67 | — | 18 | 4 | no | — |
| 749 | #67 | — | 18 | 8 | no | — |
| 750 | #67 | C2×D32 | 1 | 4 | yes | complemented |
| 751 | C2×Dic3 | — | 3 | 8 | no | — |
| 752 | C2×Dic3 | — | 9 | 4 | no | — |
| 753 | C2×Dic3 | — | 9 | 4 | no | — |
| 754 | C2×Dic3 | — | 9 | 4 | no | — |
| 755 | C2×Dic3 | — | 9 | 1 | no | — |
| 756 | C2×Dic3 | — | 9 | 2 | no | — |
| 757 | C2×Dic3 | — | 9 | 4 | no | — |
| 758 | C2×Dic3 | — | 18 | 4 | no | — |
| 759 | C2×Dic3 | — | 18 | 2 | no | — |
| 760 | C2×Dic3 | — | 18 | 1 | no | — |
| 761 | C2×Dic3 | — | 36 | 1 | no | — |
| 762 | D12 | — | 3 | 8 | no | — |
| 763 | D12 | — | 3 | 8 | no | — |
| 764 | D12 | — | 3 | 2 | no | — |
| 765 | D12 | — | 3 | 4 | no | — |
| 766 | D12 | — | 3 | 4 | no | — |
| 767 | D12 | — | 3 | 2 | no | — |
| 768 | D12 | — | 6 | 4 | no | — |
| 769 | D12 | — | 6 | 2 | no | — |
| 770 | D12 | — | 9 | 4 | no | — |
| 771 | D12 | — | 9 | 4 | no | — |
| 772 | D12 | — | 9 | 8 | no | — |
| 773 | D12 | — | 9 | 4 | no | — |
| 774 | D12 | — | 18 | 4 | no | — |
| 775 | D12 | C2×D32 | 1 | 2 | yes | complemented |
| 776 | D12 | C2×D32 | 1 | 4 | yes | complemented |
| 777 | C4×D3 | — | 3 | 8 | no | — |
| 778 | C4×D3 | — | 3 | 4 | no | — |
| 779 | C4×D3 | — | 3 | 4 | no | — |
| 780 | C4×D3 | — | 3 | 8 | no | — |
| 781 | C4×D3 | — | 6 | 4 | no | — |
| 782 | C4×D3 | — | 9 | 4 | no | — |
| 783 | C4×D3 | — | 9 | 4 | no | — |
| 784 | C4×D3 | — | 9 | 8 | no | — |
| 785 | C4×D3 | — | 9 | 4 | no | — |
| 786 | C4×D3 | — | 9 | 4 | no | — |
| 787 | C4×D3 | — | 9 | 4 | no | — |
| 788 | C4×D3 | — | 9 | 2 | no | — |
| 789 | C4×D3 | — | 9 | 2 | no | — |
| 790 | C4×D3 | — | 9 | 2 | no | — |
| 791 | C4×D3 | — | 9 | 2 | no | — |
| 792 | C4×D3 | — | 9 | 2 | no | — |
| 793 | C4×D3 | — | 9 | 2 | no | — |
| 794 | C4×D3 | — | 9 | 4 | no | — |
| 795 | C4×D3 | — | 18 | 4 | no | — |
| 796 | C4×D3 | — | 18 | 2 | no | — |
| 797 | C4×D3 | — | 18 | 2 | no | — |
| 798 | C4×D3 | — | 18 | 2 | no | — |
| 799 | C4×D3 | — | 18 | 2 | no | — |
| 800 | C4×D3 | — | 18 | 2 | no | — |
| 801 | C4×D3 | — | 18 | 2 | no | — |
| 802 | C4×D3 | — | 18 | 4 | no | — |
| 803 | C4×D3 | — | 36 | 2 | no | — |
| 804 | C4×D3 | — | 36 | 2 | no | — |
| 805 | C4×D3 | C2×D32 | 1 | 4 | yes | complemented |
| 806 | Dic6 | — | 3 | 2 | no | — |
| 807 | Dic6 | — | 3 | 2 | no | — |
| 808 | Dic6 | — | 6 | 2 | no | — |
| 809 | Dic6 | — | 9 | 4 | no | — |
| 810 | Dic6 | — | 9 | 4 | no | — |
| 811 | Dic6 | — | 9 | 4 | no | — |
| 812 | Dic6 | — | 18 | 4 | no | — |
| 813 | Dic6 | C2×D32 | 1 | 2 | yes | complemented |
| 814 | C2×C32 | — | 2 | 1 | no | — |
| 815 | C2×C32 | — | 2 | 2 | no | — |
| 816 | C2×C32 | — | 2 | 2 | no | — |
| 817 | C2×C32 | — | 2 | 2 | no | — |
| 818 | C2×C32 | — | 2 | 1 | no | — |
| 819 | C2×C32 | — | 4 | 1 | no | — |
| 820 | C2×C32 | — | 4 | 2 | no | — |
| 821 | C2×C32 | — | 4 | 2 | no | — |
| 822 | C2×C32 | — | 6 | 4 | no | — |
| 823 | C2×C32 | — | 6 | 4 | no | — |
| 824 | C2×C32 | C24×D3 | 1 | 1 | yes | characteristic |
| 825 | C2×C32 | C24×D3 | 1 | 2 | yes | — |
| 826 | C3⋊D3 | — | 2 | 4 | no | — |
| 827 | C3⋊D3 | — | 2 | 4 | no | — |
| 828 | C3⋊D3 | — | 3 | 4 | no | — |
| 829 | C3⋊D3 | — | 3 | 2 | no | — |
| 830 | C3⋊D3 | — | 6 | 2 | no | — |
| 831 | C3⋊D3 | — | 6 | 4 | no | — |
| 832 | C3⋊D3 | — | 6 | 1 | no | — |
| 833 | C3⋊D3 | — | 6 | 2 | no | — |
| 834 | C3⋊D3 | — | 6 | 2 | no | — |
| 835 | C3⋊D3 | — | 12 | 2 | no | — |
| 836 | C3⋊D3 | — | 12 | 2 | no | — |
| 837 | C3⋊D3 | — | 12 | 2 | no | — |
| 838 | C3×D3 | — | 2 | 4 | no | — |
| 839 | C3×D3 | — | 2 | 4 | no | — |
| 840 | C3×D3 | — | 2 | 8 | no | — |
| 841 | C3×D3 | — | 4 | 4 | no | — |
| 842 | C3×D3 | — | 4 | 4 | no | — |
| 843 | C3×D3 | — | 6 | 4 | no | — |
| 844 | C3×D3 | — | 6 | 8 | no | — |
| 845 | C3×D3 | — | 6 | 4 | no | — |
| 846 | C3×D3 | — | 12 | 4 | no | — |
| 847 | C3×D3 | — | 12 | 4 | no | — |
| 848 | C24 | — | 27 | 2 | no | — |
| 849 | C24 | — | 27 | 4 | no | — |
| 850 | #41 | — | 3 | 2 | no | — |
| 851 | #41 | — | 9 | 4 | no | — |
| 852 | #41 | — | 9 | 4 | no | — |
| 853 | #41 | — | 9 | 4 | no | — |
| 854 | #41 | — | 9 | 2 | no | — |
| 855 | #41 | — | 27 | 4 | no | — |
| 856 | #41 | — | 27 | 8 | no | — |
| 857 | #41 | — | 27 | 8 | no | — |
| 858 | #41 | — | 27 | 4 | no | — |
| 859 | #41 | — | 27 | 4 | no | — |
| 860 | #41 | — | 27 | 2 | no | — |
| 861 | #41 | — | 27 | 2 | no | — |
| 862 | C2×Q8 | — | 27 | 2 | no | — |
| 863 | C2×D4 | — | 3 | 1 | no | — |
| 864 | C2×D4 | — | 9 | 4 | no | — |
| 865 | C2×D4 | — | 9 | 4 | no | — |
| 866 | C2×D4 | — | 9 | 4 | no | — |
| 867 | C2×D4 | — | 9 | 4 | no | — |
| 868 | C2×D4 | — | 9 | 8 | no | — |
| 869 | C2×D4 | — | 9 | 1 | no | — |
| 870 | C2×D4 | — | 27 | 4 | no | — |
| 871 | C2×D4 | — | 27 | 4 | no | — |
| 872 | C2×D4 | — | 27 | 8 | no | — |
| 873 | C2×D4 | — | 27 | 4 | no | — |
| 874 | C2×D4 | — | 27 | 4 | no | — |
| 875 | C2×D4 | — | 27 | 2 | no | — |
| 876 | C2×D4 | — | 27 | 4 | no | — |
| 877 | C2×D4 | — | 27 | 8 | no | — |
| 878 | C2×D4 | — | 27 | 8 | no | — |
| 879 | C2×D4 | — | 27 | 4 | no | — |
| 880 | C2×D4 | — | 27 | 4 | no | — |
| 881 | C2×D4 | — | 27 | 8 | no | — |
| 882 | C2×D4 | — | 27 | 2 | no | — |
| 883 | C22×C4 | — | 27 | 4 | no | — |
| 884 | C22×C4 | — | 27 | 4 | no | — |
| 885 | C22×C4 | — | 27 | 1 | no | — |
| 886 | C22×C3 | — | 2 | 1 | no | — |
| 887 | C22×C3 | — | 2 | 2 | no | — |
| 888 | C22×C3 | — | 3 | 8 | no | — |
| 889 | C22×C3 | — | 3 | 4 | no | — |
| 890 | C22×C3 | — | 3 | 4 | no | — |
| 891 | C22×C3 | — | 4 | 1 | no | — |
| 892 | C22×C3 | — | 6 | 4 | no | — |
| 893 | C22×C3 | — | 6 | 4 | no | — |
| 894 | C22×C3 | — | 9 | 4 | no | — |
| 895 | C22×C3 | — | 9 | 4 | no | — |
| 896 | C22×C3 | — | 12 | 4 | no | — |
| 897 | C22×C3 | — | 12 | 4 | no | — |
| 898 | C22×C3 | — | 36 | 2 | no | — |
| 899 | C22×C3 | — | 36 | 4 | no | — |
| 900 | C22×C3 | — | 36 | 8 | no | — |
| 901 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 902 | C22×C3 | C22×D32 | 1 | 2 | yes | — |
| 903 | C2×D3 | — | 3 | 4 | no | — |
| 904 | C2×D3 | — | 3 | 8 | no | — |
| 905 | C2×D3 | — | 3 | 4 | no | — |
| 906 | C2×D3 | — | 4 | 2 | no | — |
| 907 | C2×D3 | — | 6 | 4 | no | — |
| 908 | C2×D3 | — | 6 | 4 | no | — |
| 909 | C2×D3 | — | 9 | 1 | no | — |
| 910 | C2×D3 | — | 9 | 2 | no | — |
| 911 | C2×D3 | — | 9 | 1 | no | — |
| 912 | C2×D3 | — | 9 | 2 | no | — |
| 913 | C2×D3 | — | 12 | 8 | no | — |
| 914 | C2×D3 | — | 12 | 8 | no | — |
| 915 | C2×D3 | — | 12 | 8 | no | — |
| 916 | C2×D3 | — | 12 | 4 | no | — |
| 917 | C2×D3 | — | 12 | 4 | no | — |
| 918 | C2×D3 | — | 18 | 2 | no | — |
| 919 | C2×D3 | — | 18 | 1 | no | — |
| 920 | C2×D3 | — | 18 | 1 | no | — |
| 921 | C2×D3 | — | 18 | 2 | no | — |
| 922 | C2×D3 | — | 18 | 8 | no | — |
| 923 | C2×D3 | — | 18 | 8 | no | — |
| 924 | C2×D3 | — | 18 | 8 | no | — |
| 925 | C2×D3 | — | 18 | 8 | no | — |
| 926 | C2×D3 | — | 18 | 16 | no | — |
| 927 | C2×D3 | — | 18 | 2 | no | — |
| 928 | C2×D3 | — | 18 | 4 | no | — |
| 929 | C2×D3 | — | 18 | 4 | no | — |
| 930 | C2×D3 | — | 36 | 1 | no | — |
| 931 | C2×D3 | — | 36 | 1 | no | — |
| 932 | C2×D3 | — | 36 | 8 | no | — |
| 933 | C2×D3 | — | 36 | 8 | no | — |
| 934 | C2×D3 | — | 36 | 4 | no | — |
| 935 | C2×D3 | — | 36 | 4 | no | — |
| 936 | C2×D3 | — | 36 | 4 | no | — |
| 937 | C2×D3 | — | 36 | 4 | no | — |
| 938 | C2×D3 | — | 36 | 8 | no | — |
| 939 | C2×D3 | — | 36 | 8 | no | — |
| 940 | C2×D3 | — | 36 | 8 | no | — |
| 941 | C2×D3 | C22×D32 | 1 | 4 | yes | — |
| 942 | C2×D3 | C22×D32 | 1 | 4 | yes | — |
| 943 | C3×C4 | — | 2 | 2 | no | — |
| 944 | C3×C4 | — | 2 | 2 | no | — |
| 945 | C3×C4 | — | 2 | 2 | no | — |
| 946 | C3×C4 | — | 3 | 4 | no | — |
| 947 | C3×C4 | — | 3 | 4 | no | — |
| 948 | C3×C4 | — | 4 | 2 | no | — |
| 949 | C3×C4 | — | 6 | 4 | no | — |
| 950 | C3×C4 | — | 9 | 4 | no | — |
| 951 | C3×C4 | C22×D32 | 1 | 2 | yes | — |
| 952 | C3×C4 | C22×D32 | 1 | 2 | yes | — |
| 953 | C3×C4 | C22×D32 | 1 | 2 | yes | — |
| 954 | Dic3 | — | 3 | 4 | no | — |
| 955 | Dic3 | — | 3 | 4 | no | — |
| 956 | Dic3 | — | 6 | 4 | no | — |
| 957 | Dic3 | — | 9 | 2 | no | — |
| 958 | Dic3 | — | 9 | 2 | no | — |
| 959 | Dic3 | — | 9 | 2 | no | — |
| 960 | Dic3 | — | 18 | 2 | no | — |
| 961 | Dic3 | — | 18 | 2 | no | — |
| 962 | Dic3 | — | 18 | 2 | no | — |
| 963 | Dic3 | — | 36 | 2 | no | — |
| 964 | Dic3 | C22×D32 | 1 | 4 | yes | — |
| 965 | C32 | — | 2 | 1 | no | — |
| 966 | C32 | — | 2 | 2 | no | — |
| 967 | C32 | — | 4 | 1 | no | — |
| 968 | C32 | D3×H(5,𝔽2) | 1 | 2 | yes | complemented |
| 969 | C32 | D3×H(5,𝔽2) | 1 | 1 | yes | characteristic, complemented |
| 970 | C23 | — | 3 | 2 | no | — |
| 971 | C23 | — | 9 | 4 | no | — |
| 972 | C23 | — | 9 | 8 | no | — |
| 973 | C23 | — | 9 | 2 | no | — |
| 974 | C23 | — | 27 | 4 | no | — |
| 975 | C23 | — | 27 | 4 | no | — |
| 976 | C23 | — | 27 | 4 | no | — |
| 977 | C23 | — | 27 | 4 | no | — |
| 978 | C23 | — | 27 | 1 | no | — |
| 979 | C23 | — | 108 | 4 | no | — |
| 980 | C23 | — | 108 | 8 | no | — |
| 981 | Q8 | — | 3 | 2 | no | — |
| 982 | Q8 | — | 9 | 2 | no | — |
| 983 | Q8 | — | 27 | 4 | no | — |
| 984 | D4 | — | 3 | 4 | no | — |
| 985 | D4 | — | 3 | 4 | no | — |
| 986 | D4 | — | 3 | 2 | no | — |
| 987 | D4 | — | 9 | 8 | no | — |
| 988 | D4 | — | 9 | 8 | no | — |
| 989 | D4 | — | 9 | 8 | no | — |
| 990 | D4 | — | 9 | 4 | no | — |
| 991 | D4 | — | 9 | 2 | no | — |
| 992 | D4 | — | 9 | 4 | no | — |
| 993 | D4 | — | 27 | 4 | no | — |
| 994 | D4 | — | 27 | 4 | no | — |
| 995 | D4 | — | 27 | 8 | no | — |
| 996 | D4 | — | 27 | 4 | no | — |
| 997 | D4 | — | 27 | 8 | no | — |
| 998 | C2×C4 | — | 3 | 4 | no | — |
| 999 | C2×C4 | — | 9 | 4 | no | — |
| 1000 | C2×C4 | — | 9 | 8 | no | — |
| 1001 | C2×C4 | — | 9 | 4 | no | — |
| 1002 | C2×C4 | — | 27 | 4 | no | — |
| 1003 | C2×C4 | — | 27 | 4 | no | — |
| 1004 | C2×C4 | — | 27 | 4 | no | — |
| 1005 | C2×C4 | — | 27 | 4 | no | — |
| 1006 | C2×C4 | — | 27 | 1 | no | — |
| 1007 | C2×C4 | — | 27 | 2 | no | — |
| 1008 | C2×C4 | — | 27 | 2 | no | — |
| 1009 | C2×C4 | D33 | 1 | 1 | yes | characteristic, complemented |
| 1010 | C2×C3 | — | 2 | 2 | no | — |
| 1011 | C2×C3 | — | 2 | 1 | no | — |
| 1012 | C2×C3 | — | 2 | 2 | no | — |
| 1013 | C2×C3 | — | 2 | 2 | no | — |
| 1014 | C2×C3 | — | 2 | 1 | no | — |
| 1015 | C2×C3 | — | 4 | 2 | no | — |
| 1016 | C2×C3 | — | 4 | 2 | no | — |
| 1017 | C2×C3 | — | 4 | 1 | no | — |
| 1018 | C2×C3 | — | 6 | 4 | no | — |
| 1019 | C2×C3 | — | 6 | 4 | no | — |
| 1020 | C2×C3 | — | 6 | 8 | no | — |
| 1021 | C2×C3 | — | 12 | 4 | no | — |
| 1022 | C2×C3 | — | 12 | 4 | no | — |
| 1023 | C2×C3 | — | 18 | 4 | no | — |
| 1024 | C2×C3 | — | 18 | 4 | no | — |
| 1025 | C2×C3 | C23×D32 | 1 | 1 | yes | characteristic |
| 1026 | C2×C3 | C23×D32 | 1 | 2 | yes | — |
| 1027 | D3 | — | 2 | 4 | no | — |
| 1028 | D3 | — | 2 | 4 | no | — |
| 1029 | D3 | — | 6 | 4 | no | — |
| 1030 | D3 | — | 6 | 8 | no | — |
| 1031 | D3 | — | 6 | 4 | no | — |
| 1032 | D3 | — | 9 | 2 | no | — |
| 1033 | D3 | — | 9 | 4 | no | — |
| 1034 | D3 | — | 12 | 4 | no | — |
| 1035 | D3 | — | 12 | 4 | no | — |
| 1036 | D3 | — | 18 | 2 | no | — |
| 1037 | D3 | — | 18 | 4 | no | — |
| 1038 | D3 | — | 18 | 2 | no | — |
| 1039 | D3 | — | 18 | 1 | no | — |
| 1040 | D3 | — | 18 | 2 | no | — |
| 1041 | D3 | — | 36 | 2 | no | — |
| 1042 | D3 | — | 36 | 2 | no | — |
| 1043 | D3 | — | 36 | 2 | no | — |
| 1044 | C22 | — | 3 | 4 | no | — |
| 1045 | C22 | — | 3 | 4 | no | — |
| 1046 | C22 | — | 9 | 4 | no | — |
| 1047 | C22 | — | 9 | 4 | no | — |
| 1048 | C22 | — | 12 | 2 | no | — |
| 1049 | C22 | — | 27 | 1 | no | — |
| 1050 | C22 | — | 27 | 1 | no | — |
| 1051 | C22 | — | 36 | 2 | no | — |
| 1052 | C22 | — | 36 | 8 | no | — |
| 1053 | C22 | — | 36 | 4 | no | — |
| 1054 | C22 | — | 54 | 2 | no | — |
| 1055 | C22 | — | 54 | 8 | no | — |
| 1056 | C22 | — | 54 | 8 | no | — |
| 1057 | C22 | — | 108 | 4 | no | — |
| 1058 | C22 | — | 108 | 4 | no | — |
| 1059 | C22 | C2×D33 | 1 | 1 | yes | characteristic |
| 1060 | C4 | — | 3 | 4 | no | — |
| 1061 | C4 | — | 9 | 4 | no | — |
| 1062 | C4 | — | 27 | 2 | no | — |
| 1063 | C4 | C2×D33 | 1 | 2 | yes | — |
| 1064 | C3 | — | 2 | 1 | no | — |
| 1065 | C3 | — | 2 | 2 | no | — |
| 1066 | C3 | — | 4 | 1 | no | — |
| 1067 | C3 | #10596675 | 1 | 1 | yes | characteristic, complemented |
| 1068 | C3 | #10596692 | 1 | 2 | yes | complemented |
| 1069 | C2 | — | 2 | 1 | no | — |
| 1070 | C2 | — | 6 | 4 | no | — |
| 1071 | C2 | — | 6 | 4 | no | — |
| 1072 | C2 | — | 18 | 4 | no | — |
| 1073 | C2 | — | 18 | 4 | no | — |
| 1074 | C2 | — | 27 | 2 | no | — |
| 1075 | C2 | — | 54 | 1 | no | — |
| 1076 | C2 | C22×D33 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C2 | C22×D33 |
| commutator, socle, cosocle | C2×C33 | C25 |
| Fitting | C2×C33×C4 | C23 |
| hypercenter | C2×C4 | D33 |
| hypocenter | C33 | C2×H(5,𝔽2) |
| LCS | G ▷ C2×C33 ▷ C33 | |
| UCS | C1 ◁ C2 ◁ C2×C4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11724619 | C2 | semidirect |
| 2. #11724578 | C2 | semidirect |
| 3. C2×#89026 | C2 | semidirect |
| 4. C3×#64308 | C2 | semidirect |
| 5. C3×#64307 | C2 | semidirect |
| 6. D3×#3811 | C2 | semidirect |
| 7. #11724415 | C2 | semidirect |
| 8. D3×#3802 | C2 | semidirect |
| 9. #11724385 | C2 | semidirect |
| 10. #11724381 | C2 | semidirect |
| 11. #11724376 | C2 | semidirect |
| 14. C22×D3×C3⋊D3 | C22 | semidirect |
| 15. C2×D33 | C22 | semidirect |
| 16. C2×C4×C3⋊(C3⋊D3) | C22 | semidirect |
| 17. C3×#3828 | C22 | semidirect |
| 18. C2×C3×C4⋊(C3⋊D3) | C22 | semidirect |
| 19. C32×#235 | C22 | semidirect |
| 20. C2×C32×D12 | C22 | semidirect |
| 21. #89049 | C22 | semidirect |
| 22. C4⋊#1113 | C22 | semidirect |
| 23. #89041 | C22 | semidirect |
| 24. #89039 | C22 | semidirect |
| 25. C2×#6290 | C22 | semidirect |
| 26. #89029 | C22 | semidirect |
| 27. #89026 | C22 | semidirect |
| 28. #89026 | C22 | semidirect |
| 29. #89026 | C22 | semidirect |
| 30. C4×D3×C3⋊D3 | C22 | semidirect |
| 31. #89020 | C22 | semidirect |
| 32. #89019 | C22 | semidirect |
| 33. #89017 | C22 | semidirect |
| 34. #89015 | C22 | semidirect |
| 35. C3×#3811 | C22 | semidirect |
| 36. C3×D3×#67 | C22 | semidirect |
| 37. C3×#3802 | C22 | semidirect |
| 38. C3×D3×D12 | C22 | semidirect |
| 39. C3×D3×D12 | C22 | semidirect |
| 40. C3×#3799 | C22 | semidirect |
| 41. C3×#3796 | C22 | semidirect |
| 42. C3×#3795 | C22 | semidirect |
| 43. #88961 | C22 | semidirect |
| 44. #88960 | C22 | semidirect |
| 45. #88955 | C22 | semidirect |
| 46. #88954 | C22 | semidirect |
| 47. #88953 | C22 | semidirect |
| 48. #88952 | C22 | semidirect |
| 49. D3×#626 | C22 | semidirect |
| 50. D3×#625 | C22 | semidirect |
| 51. D3×#624 | C22 | semidirect |
| 70. #64308 | D3 | semidirect |
| 74. #64307 | D3 | semidirect |
| 83. C22×C3×C3⋊D3 | C23 | semidirect |
| 84. C22×C32×D3 | C23 | semidirect |
| 85. C2×#1113 | C23 | semidirect |
| 89. C2×D3×C3⋊D3 | C23 | semidirect |
| 90. C2×C3×D32 | C23 | semidirect |
| 91. C2×C3×D32 | C23 | semidirect |
| 93. C2×C33×C4 | C23 | semidirect |
| 94. C2×C3⋊(C3⋊Dic3) | C23 | semidirect |
| 96. C4×C3⋊(C3⋊D3) | C23 | semidirect |
| 97. C3×#638 | C23 | semidirect |
| 98. C3×C4⋊(C3⋊D3) | C23 | semidirect |
| 99. C3×C4⋊(C3⋊D3) | C23 | semidirect |
| 100. C3×C4×C3⋊D3 | C23 | semidirect |
| 101. C3×#634 | C23 | semidirect |
| 102. C32×#67 | C23 | semidirect |
| 103. C32×D12 | C23 | semidirect |
| 104. C32×D12 | C23 | semidirect |
| 105. C32×C4×D3 | C23 | semidirect |
| 106. C32×Dic6 | C23 | semidirect |
| 107. #6295 | C23 | semidirect |
| 108. #6294 | C23 | semidirect |
| 109. #6293 | C23 | semidirect |
| 110. #6292 | C23 | semidirect |
| 111. #6291 | C23 | semidirect |
| 112. #6290 | C23 | semidirect |
| 113. #6290 | C23 | semidirect |
| 115. Dic3×C3⋊D3 | C23 | semidirect |
| 116. D3×C3⋊Dic3 | C23 | semidirect |
| 117. C3×#626 | C23 | semidirect |
| 118. C3×#626 | C23 | semidirect |
| 119. C3×#625 | C23 | semidirect |
| 120. C3×#624 | C23 | semidirect |
| 121. C3×D3×Dic3 | C23 | semidirect |
| 141. #3828 | C2×D3 | semidirect |
| 142. C2×C4⋊(C3⋊D3) | C2×D3 | semidirect |
| 166. C3×#235 | C2×D3 | semidirect |
| 167. C3×#235 | C2×D3 | semidirect |
| 173. C2×C3×D12 | C2×D3 | semidirect |
| 182. #3811 | C2×D3 | semidirect |
| 190. D3×#67 | C2×D3 | semidirect |
| 214. #3802 | C2×D3 | semidirect |
| 219. D3×D12 | C2×D3 | semidirect |
| 220. D3×D12 | C2×D3 | semidirect |
| 226. #3799 | C2×D3 | semidirect |
| 241. #3796 | C2×D3 | semidirect |
| 245. #3795 | C2×D3 | semidirect |
| 306. C22×C3⋊D3 | C22×D3 | semidirect |
| 313. C22×C3×D3 | C22×D3 | semidirect |
| 327. C2×D32 | C22×D3 | semidirect |
| 328. C2×D32 | C22×D3 | semidirect |
| 337. C2×C32×C4 | C22×D3 | semidirect |
| 338. C2×C32×C4 | C22×D3 | semidirect |
| 342. #638 | C22×D3 | semidirect |
| 350. C4⋊(C3⋊D3) | C22×D3 | semidirect |
| 351. C4⋊(C3⋊D3) | C22×D3 | semidirect |
| 368. C4×C3⋊D3 | C22×D3 | semidirect |
| 370. #634 | C22×D3 | semidirect |
| 379. C3×#67 | C22×D3 | semidirect |
| 380. C3×#67 | C22×D3 | semidirect |
| 392. C3×D12 | C22×D3 | semidirect |
| 393. C3×D12 | C22×D3 | semidirect |
| 394. C3×D12 | C22×D3 | semidirect |
| 395. C3×D12 | C22×D3 | semidirect |
| 402. C3×C4×D3 | C22×D3 | semidirect |
| 403. C3×C4×D3 | C22×D3 | semidirect |
| 408. C3×Dic6 | C22×D3 | semidirect |
| 409. C3×Dic6 | C22×D3 | semidirect |
| 421. #626 | C22×D3 | semidirect |
| 422. #626 | C22×D3 | semidirect |
| 430. #625 | C22×D3 | semidirect |
| 435. #624 | C22×D3 | semidirect |
| 443. D3×Dic3 | C22×D3 | semidirect |
| 448. C3⋊(C3⋊D3) | H(5,𝔽2) | semidirect |
| 555. #235 | D32 | semidirect |
| 563. C2×D12 | D32 | semidirect |
| 665. C33 | C2×H(5,𝔽2) | semidirect |
| 698. C22×D3 | C2×D32 | semidirect |
| 727. C2×C3×C4 | C2×D32 | semidirect |
| 728. C2×C3×C4 | C2×D32 | semidirect |
| 750. #67 | C2×D32 | semidirect |
| 775. D12 | C2×D32 | semidirect |
| 776. D12 | C2×D32 | semidirect |
| 805. C4×D3 | C2×D32 | semidirect |
| 813. Dic6 | C2×D32 | semidirect |
| 968. C32 | D3×H(5,𝔽2) | semidirect |
| 969. C32 | D3×H(5,𝔽2) | semidirect |
| 1009. C2×C4 | D33 | semidirect |
| 1067. C3 | #10596675 | semidirect |
| 1068. C3 | #10596692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11724619 | 2 |
| #11724578 | 2 |
| C2×#89026 | 2 |
| C3×#64308 | 2 |
| C3×#64307 | 2 |
| D3×#3811 | 2 |
| #11724415 | 2 |
| D3×#3802 | 2 |
| #11724385 | 2 |
| #11724381 | 2 |
| #11724376 | 2 |
| #10596692 | 3 |
| #10596675 | 3 |