Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
4128 conjugacy classes of subgroups.
The subgroup lattice has 1176 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11724618 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #11724579 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C3⋊D3×#235 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C3×#64307 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C2×C3×#3802 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | D32×#67 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #11724414 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #11724403 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | D3×#3802 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11724386 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11724382 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #11724381 | C2 | 1 | 4 | yes | maximal, complemented |
| 13 | #11724374 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #11724373 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | #10596692 | — | 3 | 1 | no | maximal |
| 16 | D3×#1004 | — | 3 | 2 | no | maximal |
| 17 | C22×C3×D32 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×D33 | C22 | 1 | 4 | yes | complemented |
| 19 | #89076 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C3×#3828 | C22 | 1 | 2 | yes | complemented |
| 21 | C2×C3×C4×C3⋊D3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C32×#235 | C22 | 1 | 1 | yes | characteristic, complemented |
| 23 | C2×C32×D12 | C22 | 1 | 2 | yes | complemented |
| 24 | #89049 | C22 | 1 | 2 | yes | complemented |
| 25 | #89046 | C22 | 1 | 2 | yes | complemented |
| 26 | C4⋊#1113 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C4×#1113 | C22 | 1 | 2 | yes | complemented |
| 28 | #89042 | C22 | 1 | 2 | yes | complemented |
| 29 | #89041 | C22 | 1 | 2 | yes | complemented |
| 30 | #89040 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C3⋊D3×#67 | C22 | 1 | 2 | yes | complemented |
| 32 | D3×#638 | C22 | 1 | 8 | yes | complemented |
| 33 | #89028 | C22 | 1 | 2 | yes | complemented |
| 34 | #89026 | C22 | 1 | 4 | yes | complemented |
| 35 | C3⋊D3×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C3⋊D3×D12 | C22 | 1 | 4 | yes | complemented |
| 37 | C4×D3×C3⋊D3 | C22 | 1 | 2 | yes | complemented |
| 38 | #89020 | C22 | 1 | 2 | yes | complemented |
| 39 | #89018 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C3⋊D3×Dic6 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #89015 | C22 | 1 | 4 | yes | complemented |
| 42 | #89014 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #89014 | C22 | 1 | 4 | yes | complemented |
| 44 | C3×D3×#67 | C22 | 1 | 8 | yes | complemented |
| 45 | C2×C3×#625 | C22 | 1 | 2 | yes | complemented |
| 46 | C3×#3802 | C22 | 1 | 2 | yes | complemented |
| 47 | C3×#3802 | C22 | 1 | 2 | yes | complemented |
| 48 | C3×#3802 | C22 | 1 | 2 | yes | complemented |
| 49 | C3×#3802 | C22 | 1 | 2 | yes | complemented |
| 50 | C3×#3802 | C22 | 1 | 4 | yes | complemented |
| 51 | C3×D3×D12 | C22 | 1 | 4 | yes | complemented |
| 52 | C3×#3796 | C22 | 1 | 4 | yes | complemented |
| 53 | C3×#3795 | C22 | 1 | 4 | yes | complemented |
| 54 | #88963 | C22 | 1 | 4 | yes | complemented |
| 55 | #88961 | C22 | 1 | 8 | yes | complemented |
| 56 | #88959 | C22 | 1 | 4 | yes | complemented |
| 57 | #88954 | C22 | 1 | 4 | yes | complemented |
| 58 | #88953 | C22 | 1 | 4 | yes | complemented |
| 59 | #88952 | C22 | 1 | 4 | yes | complemented |
| 60 | #88952 | C22 | 1 | 8 | yes | complemented |
| 61 | D3×#626 | C22 | 1 | 8 | yes | complemented |
| 62 | D3×#625 | C22 | 1 | 8 | yes | complemented |
| 63 | D3×#625 | C22 | 1 | 4 | yes | complemented |
| 64 | D32×Dic3 | C22 | 1 | 4 | yes | complemented |
| 65 | #41×C3⋊D3 | — | 3 | 1 | no | — |
| 66 | #64361 | — | 3 | 2 | no | — |
| 67 | C3×#1009 | — | 3 | 2 | no | — |
| 68 | C3×#1004 | — | 3 | 2 | no | — |
| 69 | C2×C3×D3×D4 | — | 3 | 2 | no | — |
| 70 | #64330 | — | 3 | 8 | no | — |
| 71 | C2×D3×#67 | — | 3 | 8 | no | — |
| 72 | #64320 | — | 3 | 2 | no | — |
| 73 | #64319 | — | 3 | 2 | no | — |
| 74 | #64314 | — | 3 | 4 | no | — |
| 75 | #64314 | — | 3 | 4 | no | — |
| 76 | #64313 | — | 3 | 4 | no | — |
| 77 | #64313 | — | 3 | 4 | no | — |
| 78 | #64313 | — | 3 | 2 | no | — |
| 79 | #64313 | — | 3 | 4 | no | — |
| 80 | D3×#237 | — | 3 | 4 | no | — |
| 81 | D3×#237 | — | 3 | 4 | no | — |
| 82 | D32×D4 | — | 3 | 4 | no | — |
| 83 | D32×D4 | — | 3 | 2 | no | — |
| 84 | D32×D4 | — | 3 | 4 | no | — |
| 85 | D32×D4 | — | 3 | 4 | no | — |
| 86 | #64307 | — | 3 | 2 | no | — |
| 87 | #64307 | — | 3 | 2 | no | — |
| 88 | #64307 | — | 3 | 4 | no | — |
| 89 | #64307 | — | 6 | 2 | no | — |
| 90 | #64307 | D3 | 1 | 2 | yes | complemented |
| 91 | #64306 | — | 3 | 1 | no | — |
| 92 | #64306 | — | 3 | 2 | no | — |
| 93 | D3×#235 | — | 3 | 2 | no | — |
| 94 | D3×#235 | — | 3 | 2 | no | — |
| 95 | D3×#235 | — | 6 | 1 | no | — |
| 96 | C2×#3802 | — | 3 | 2 | no | — |
| 97 | C2×#3802 | D3 | 1 | 1 | yes | characteristic, complemented |
| 98 | C22×C3×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 99 | C22×C32×D3 | C23 | 1 | 4 | yes | complemented |
| 100 | C2×#1113 | C23 | 1 | 2 | yes | — |
| 101 | C2×D3×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 102 | C2×D3×C3⋊D3 | C23 | 1 | 8 | yes | complemented |
| 103 | C2×C3×D32 | — | 4 | 4 | no | — |
| 104 | C2×C3×D32 | C23 | 1 | 4 | yes | — |
| 105 | C2×C3×D32 | C23 | 1 | 8 | yes | complemented |
| 106 | C2×C3×D32 | C23 | 1 | 4 | yes | complemented |
| 107 | D33 | — | 4 | 8 | no | — |
| 108 | C2×C33×C4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 109 | #6312 | C23 | 1 | 2 | yes | complemented |
| 110 | C4⋊(C3⋊(C3⋊D3)) | C23 | 1 | 1 | yes | characteristic, complemented |
| 111 | C4×C3⋊(C3⋊D3) | C23 | 1 | 2 | yes | complemented |
| 112 | #6308 | C23 | 1 | 1 | yes | characteristic, complemented |
| 113 | C3×#638 | C23 | 1 | 4 | yes | complemented |
| 114 | C2×C3×C3⋊Dic3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 115 | C3×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | complemented |
| 116 | C3×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 117 | C3×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 118 | C3×C4×C3⋊D3 | C23 | 1 | 4 | yes | complemented |
| 119 | C3×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 120 | C3×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic, complemented |
| 121 | C3×#634 | C23 | 1 | 2 | yes | complemented |
| 122 | C32×#67 | C23 | 1 | 2 | yes | complemented |
| 123 | C32×D12 | C23 | 1 | 4 | yes | complemented |
| 124 | C32×D12 | C23 | 1 | 4 | yes | complemented |
| 125 | C32×D12 | C23 | 1 | 1 | yes | characteristic, complemented |
| 126 | C32×C4×D3 | C23 | 1 | 2 | yes | complemented |
| 127 | C32×Dic6 | C23 | 1 | 1 | yes | characteristic, complemented |
| 128 | #6296 | C23 | 1 | 2 | yes | complemented |
| 129 | #6295 | C23 | 1 | 4 | yes | complemented |
| 130 | #6295 | C23 | 1 | 2 | yes | complemented |
| 131 | #6294 | C23 | 1 | 2 | yes | — |
| 132 | #6294 | C23 | 1 | 4 | yes | complemented |
| 133 | #6293 | C23 | 1 | 2 | yes | complemented |
| 134 | #6292 | C23 | 1 | 2 | yes | complemented |
| 135 | #6291 | C23 | 1 | 8 | yes | complemented |
| 136 | #6291 | C23 | 1 | 2 | yes | complemented |
| 137 | #6290 | C23 | 1 | 2 | yes | complemented |
| 138 | #6290 | C23 | 1 | 8 | yes | complemented |
| 139 | #6289 | C23 | 1 | 2 | yes | complemented |
| 140 | Dic3×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 141 | D3×C3⋊Dic3 | C23 | 1 | 8 | yes | complemented |
| 142 | D3×C3⋊Dic3 | C23 | 1 | 2 | yes | complemented |
| 143 | C3×#626 | C23 | 1 | 8 | yes | complemented |
| 144 | C3×#625 | C23 | 1 | 8 | yes | complemented |
| 145 | C3×#625 | C23 | 1 | 4 | yes | complemented |
| 146 | C3×#625 | C23 | 1 | 4 | yes | complemented |
| 147 | C3×D3×Dic3 | C23 | 1 | 8 | yes | complemented |
| 148 | D3×H(5,𝔽2) | — | 9 | 2 | no | — |
| 149 | C2×#1004 | — | 9 | 1 | no | — |
| 150 | C23×C3×D3 | — | 3 | 4 | no | — |
| 151 | C22×D32 | — | 3 | 4 | no | — |
| 152 | C22×D32 | — | 3 | 8 | no | — |
| 153 | C22×D32 | C2×D3 | 1 | 2 | yes | complemented |
| 154 | C32×#41 | — | 3 | 1 | no | — |
| 155 | C2×C32×D4 | — | 3 | 2 | no | — |
| 156 | C2×#638 | — | 3 | 8 | no | — |
| 157 | #3832 | — | 3 | 1 | no | — |
| 158 | Q8×C3⋊D3 | — | 3 | 1 | no | — |
| 159 | #3830 | — | 3 | 2 | no | — |
| 160 | #3830 | — | 3 | 4 | no | — |
| 161 | #3830 | — | 3 | 1 | no | — |
| 162 | #3830 | — | 3 | 4 | no | — |
| 163 | D4×C3⋊D3 | — | 3 | 2 | no | — |
| 164 | D4×C3⋊D3 | — | 3 | 4 | no | — |
| 165 | D4×C3⋊D3 | — | 3 | 1 | no | — |
| 166 | D4×C3⋊D3 | — | 3 | 4 | no | — |
| 167 | #3828 | — | 3 | 2 | no | — |
| 168 | #3828 | — | 3 | 1 | no | — |
| 169 | #3828 | — | 3 | 2 | no | — |
| 170 | #3828 | — | 6 | 1 | no | — |
| 171 | #3828 | — | 6 | 2 | no | — |
| 172 | #3828 | — | 12 | 1 | no | — |
| 173 | #3828 | C2×D3 | 1 | 2 | yes | complemented |
| 174 | C2×C4×C3⋊D3 | — | 3 | 2 | no | — |
| 175 | C2×C4×C3⋊D3 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 176 | C2×C3×#67 | — | 3 | 4 | no | — |
| 177 | C2×C3×#67 | — | 3 | 8 | no | — |
| 178 | C3×#239 | — | 3 | 4 | no | — |
| 179 | C3×#237 | — | 3 | 4 | no | — |
| 180 | C3×#237 | — | 3 | 4 | no | — |
| 181 | C3×D3×D4 | — | 3 | 8 | no | — |
| 182 | C3×D3×D4 | — | 3 | 4 | no | — |
| 183 | C3×D3×D4 | — | 3 | 4 | no | — |
| 184 | C3×D3×D4 | — | 3 | 4 | no | — |
| 185 | C3×D3×D4 | — | 3 | 4 | no | — |
| 186 | C3×D3×D4 | — | 3 | 4 | no | — |
| 187 | C3×D3×D4 | — | 3 | 4 | no | — |
| 188 | C3×D3×D4 | — | 3 | 4 | no | — |
| 189 | C3×#235 | — | 2 | 1 | no | — |
| 190 | C3×#235 | — | 3 | 2 | no | — |
| 191 | C3×#235 | — | 3 | 2 | no | — |
| 192 | C3×#235 | — | 3 | 4 | no | — |
| 193 | C3×#235 | — | 6 | 2 | no | — |
| 194 | C3×#235 | C2×D3 | 1 | 2 | yes | complemented |
| 195 | C2×C3×D12 | — | 2 | 2 | no | — |
| 196 | C2×C3×D12 | — | 3 | 4 | no | — |
| 197 | C2×C3×D12 | C2×D3 | 1 | 2 | yes | complemented |
| 198 | C2×C3×D12 | C2×D3 | 1 | 2 | yes | complemented |
| 199 | C2×C3×C4×D3 | — | 3 | 2 | no | — |
| 200 | C2×C3×C4×D3 | — | 6 | 1 | no | — |
| 201 | #3811 | — | 3 | 2 | no | — |
| 202 | #3811 | — | 3 | 4 | no | — |
| 203 | #3811 | — | 3 | 8 | no | — |
| 204 | #3811 | — | 3 | 8 | no | — |
| 205 | D3×#67 | — | 3 | 8 | no | — |
| 206 | D3×#67 | — | 3 | 8 | no | — |
| 207 | D3×#67 | — | 3 | 8 | no | — |
| 208 | D3×#67 | — | 3 | 8 | no | — |
| 209 | D3×#67 | — | 3 | 8 | no | — |
| 210 | D3×#67 | — | 3 | 4 | no | — |
| 211 | D3×#67 | — | 3 | 4 | no | — |
| 212 | D3×#67 | — | 3 | 8 | no | — |
| 213 | D3×#67 | — | 3 | 8 | no | — |
| 214 | D3×#67 | — | 3 | 8 | no | — |
| 215 | D3×#67 | — | 3 | 8 | no | — |
| 216 | D3×#67 | — | 3 | 8 | no | — |
| 217 | D3×#67 | — | 6 | 2 | no | — |
| 218 | D3×#67 | — | 6 | 8 | no | — |
| 219 | D3×#67 | C2×D3 | 1 | 8 | yes | complemented |
| 220 | C2×#626 | — | 3 | 8 | no | — |
| 221 | C2×#625 | — | 3 | 4 | no | — |
| 222 | C2×#625 | — | 3 | 8 | no | — |
| 223 | C2×#625 | C2×D3 | 1 | 2 | yes | complemented |
| 224 | #3805 | — | 3 | 2 | no | — |
| 225 | #3805 | — | 3 | 4 | no | — |
| 226 | #3805 | — | 3 | 8 | no | — |
| 227 | #3805 | — | 3 | 8 | no | — |
| 228 | #3804 | — | 3 | 4 | no | — |
| 229 | #3804 | — | 3 | 4 | no | — |
| 230 | #3804 | — | 3 | 8 | no | — |
| 231 | #3804 | — | 3 | 8 | no | — |
| 232 | #3804 | — | 6 | 2 | no | — |
| 233 | C2×D3×Dic3 | — | 3 | 8 | no | — |
| 234 | #3802 | — | 3 | 4 | no | — |
| 235 | #3802 | — | 3 | 1 | no | — |
| 236 | #3802 | — | 3 | 4 | no | — |
| 237 | #3802 | — | 3 | 4 | no | — |
| 238 | #3802 | — | 3 | 4 | no | — |
| 239 | #3802 | — | 6 | 4 | no | — |
| 240 | #3802 | C2×D3 | 1 | 2 | yes | complemented |
| 241 | #3802 | C2×D3 | 1 | 2 | yes | complemented |
| 242 | #3802 | C2×D3 | 1 | 2 | yes | complemented |
| 243 | #3802 | C2×D3 | 1 | 2 | yes | complemented |
| 244 | #3802 | C2×D3 | 1 | 4 | yes | complemented |
| 245 | D3×D12 | — | 3 | 8 | no | — |
| 246 | D3×D12 | — | 3 | 2 | no | — |
| 247 | D3×D12 | — | 3 | 2 | no | — |
| 248 | D3×D12 | — | 3 | 4 | no | — |
| 249 | D3×D12 | — | 3 | 4 | no | — |
| 250 | D3×D12 | — | 6 | 1 | no | — |
| 251 | D3×D12 | — | 6 | 4 | no | — |
| 252 | D3×D12 | C2×D3 | 1 | 4 | yes | complemented |
| 253 | C4×D32 | — | 3 | 4 | no | — |
| 254 | C4×D32 | — | 3 | 2 | no | — |
| 255 | C4×D32 | — | 3 | 4 | no | — |
| 256 | C4×D32 | — | 3 | 4 | no | — |
| 257 | C4×D32 | — | 6 | 2 | no | — |
| 258 | #3799 | — | 3 | 2 | no | — |
| 259 | #3799 | — | 3 | 2 | no | — |
| 260 | #3799 | — | 6 | 1 | no | — |
| 261 | #3798 | — | 3 | 4 | no | — |
| 262 | #3798 | — | 3 | 2 | no | — |
| 263 | #3798 | — | 3 | 4 | no | — |
| 264 | #3798 | — | 3 | 4 | no | — |
| 265 | #3798 | — | 6 | 2 | no | — |
| 266 | #3797 | — | 3 | 1 | no | — |
| 267 | #3796 | — | 3 | 2 | no | — |
| 268 | #3796 | — | 3 | 4 | no | — |
| 269 | #3796 | — | 3 | 4 | no | — |
| 270 | #3796 | — | 6 | 4 | no | — |
| 271 | #3796 | C2×D3 | 1 | 4 | yes | complemented |
| 272 | #3795 | — | 3 | 2 | no | — |
| 273 | #3795 | — | 3 | 2 | no | — |
| 274 | #3795 | — | 3 | 4 | no | — |
| 275 | #3795 | — | 3 | 4 | no | — |
| 276 | #3795 | — | 3 | 8 | no | — |
| 277 | #3795 | — | 6 | 1 | no | — |
| 278 | #3795 | — | 6 | 4 | no | — |
| 279 | #3795 | C2×D3 | 1 | 4 | yes | complemented |
| 280 | D3×Dic6 | — | 3 | 2 | no | — |
| 281 | D3×Dic6 | — | 3 | 2 | no | — |
| 282 | D3×Dic6 | — | 6 | 1 | no | — |
| 283 | C22×C33 | C24 | 1 | 1 | yes | characteristic |
| 284 | C2×C3⋊(C3⋊D3) | C24 | 1 | 2 | yes | — |
| 285 | C2×C3×C3⋊D3 | — | 2 | 2 | no | — |
| 286 | C2×C3×C3⋊D3 | C24 | 1 | 4 | yes | — |
| 287 | C2×C3×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 288 | C2×C3×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 289 | C2×C32×D3 | — | 4 | 4 | no | — |
| 290 | C2×C32×D3 | C24 | 1 | 8 | yes | — |
| 291 | C2×C32×D3 | C24 | 1 | 2 | yes | — |
| 292 | #1113 | — | 2 | 4 | no | — |
| 293 | D3×C3⋊D3 | — | 2 | 4 | no | — |
| 294 | D3×C3⋊D3 | — | 4 | 8 | no | — |
| 295 | C3×D32 | — | 2 | 8 | no | — |
| 296 | C3×D32 | — | 4 | 8 | no | — |
| 297 | C3×D32 | — | 4 | 4 | no | — |
| 298 | C33×C4 | C24 | 1 | 1 | yes | characteristic |
| 299 | C33×C4 | C24 | 1 | 1 | yes | characteristic |
| 300 | C3⋊(C3⋊Dic3) | C24 | 1 | 2 | yes | — |
| 301 | C3×C3⋊Dic3 | C24 | 1 | 4 | yes | — |
| 302 | C3×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 303 | C3×C3⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 304 | C32×Dic3 | C24 | 1 | 2 | yes | — |
| 305 | C3×H(5,𝔽2) | — | 9 | 2 | no | — |
| 306 | C22×C3×D4 | — | 9 | 1 | no | — |
| 307 | C22×#67 | — | 9 | 4 | no | — |
| 308 | #1009 | — | 3 | 2 | no | — |
| 309 | #1009 | — | 9 | 4 | no | — |
| 310 | #1009 | — | 9 | 4 | no | — |
| 311 | #1009 | — | 9 | 2 | no | — |
| 312 | D3×#41 | — | 9 | 2 | no | — |
| 313 | D3×#41 | — | 9 | 2 | no | — |
| 314 | D3×#41 | — | 9 | 4 | no | — |
| 315 | D3×#41 | — | 9 | 4 | no | — |
| 316 | D3×#41 | — | 18 | 1 | no | — |
| 317 | #1004 | — | 3 | 2 | no | — |
| 318 | #1004 | — | 9 | 4 | no | — |
| 319 | #1004 | — | 9 | 2 | no | — |
| 320 | #1004 | — | 9 | 2 | no | — |
| 321 | #1004 | — | 9 | 2 | no | — |
| 322 | #1004 | — | 9 | 4 | no | — |
| 323 | #1004 | — | 9 | 4 | no | — |
| 324 | #1004 | — | 9 | 8 | no | — |
| 325 | #1004 | — | 9 | 2 | no | — |
| 326 | #1004 | — | 9 | 4 | no | — |
| 327 | #1004 | — | 18 | 2 | no | — |
| 328 | C2×#237 | — | 9 | 2 | no | — |
| 329 | C2×#237 | — | 9 | 2 | no | — |
| 330 | C2×D3×D4 | — | 3 | 2 | no | — |
| 331 | C2×D3×D4 | — | 9 | 4 | no | — |
| 332 | C2×D3×D4 | — | 9 | 2 | no | — |
| 333 | C2×D3×D4 | — | 9 | 2 | no | — |
| 334 | C2×D3×D4 | — | 9 | 4 | no | — |
| 335 | C2×D3×D4 | — | 9 | 8 | no | — |
| 336 | C2×#235 | — | 9 | 1 | no | — |
| 337 | C2×#235 | — | 9 | 1 | no | — |
| 338 | C23×C32 | — | 3 | 4 | no | — |
| 339 | C22×C3⋊D3 | — | 3 | 2 | no | — |
| 340 | C22×C3⋊D3 | — | 3 | 8 | no | — |
| 341 | C22×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 342 | C22×C3×D3 | — | 2 | 4 | no | — |
| 343 | C22×C3×D3 | — | 3 | 2 | no | — |
| 344 | C22×C3×D3 | — | 3 | 8 | no | — |
| 345 | C22×C3×D3 | — | 3 | 8 | no | — |
| 346 | C22×C3×D3 | — | 3 | 8 | no | — |
| 347 | C22×C3×D3 | — | 3 | 8 | no | — |
| 348 | C22×C3×D3 | — | 6 | 1 | no | — |
| 349 | C22×C3×D3 | — | 12 | 8 | no | — |
| 350 | C22×C3×D3 | C22×D3 | 1 | 4 | yes | complemented |
| 351 | C22×C3×D3 | C22×D3 | 1 | 4 | yes | complemented |
| 352 | C2×D32 | — | 3 | 4 | no | — |
| 353 | C2×D32 | — | 3 | 2 | no | — |
| 354 | C2×D32 | — | 3 | 4 | no | — |
| 355 | C2×D32 | — | 3 | 8 | no | — |
| 356 | C2×D32 | — | 3 | 8 | no | — |
| 357 | C2×D32 | — | 4 | 4 | no | — |
| 358 | C2×D32 | — | 6 | 2 | no | — |
| 359 | C2×D32 | — | 6 | 8 | no | — |
| 360 | C2×D32 | — | 12 | 8 | no | — |
| 361 | C2×D32 | — | 12 | 16 | no | — |
| 362 | C2×D32 | C22×D3 | 1 | 4 | yes | — |
| 363 | C2×D32 | C22×D3 | 1 | 8 | yes | complemented |
| 364 | C2×D32 | C22×D3 | 1 | 4 | yes | complemented |
| 365 | C32×Q8 | — | 3 | 1 | no | — |
| 366 | C32×D4 | — | 3 | 2 | no | — |
| 367 | C32×D4 | — | 3 | 1 | no | — |
| 368 | C32×D4 | — | 3 | 4 | no | — |
| 369 | C32×D4 | — | 3 | 4 | no | — |
| 370 | C2×C32×C4 | — | 2 | 1 | no | — |
| 371 | C2×C32×C4 | — | 2 | 2 | no | — |
| 372 | C2×C32×C4 | — | 3 | 2 | no | — |
| 373 | C2×C32×C4 | — | 4 | 1 | no | — |
| 374 | C2×C32×C4 | C22×D3 | 1 | 2 | yes | complemented |
| 375 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 376 | #638 | — | 3 | 4 | no | — |
| 377 | #638 | — | 3 | 2 | no | — |
| 378 | #638 | — | 3 | 8 | no | — |
| 379 | #638 | — | 3 | 2 | no | — |
| 380 | #638 | — | 3 | 8 | no | — |
| 381 | #638 | — | 3 | 2 | no | — |
| 382 | #638 | — | 6 | 2 | no | — |
| 383 | #638 | — | 6 | 4 | no | — |
| 384 | #638 | — | 12 | 2 | no | — |
| 385 | #638 | C22×D3 | 1 | 4 | yes | complemented |
| 386 | C2×C3⋊Dic3 | — | 3 | 8 | no | — |
| 387 | C2×C3⋊Dic3 | — | 3 | 2 | no | — |
| 388 | C2×C3⋊Dic3 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 389 | C4⋊(C3⋊D3) | — | 3 | 2 | no | — |
| 390 | C4⋊(C3⋊D3) | — | 3 | 2 | no | — |
| 391 | C4⋊(C3⋊D3) | — | 3 | 1 | no | — |
| 392 | C4⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 393 | C4⋊(C3⋊D3) | — | 6 | 2 | no | — |
| 394 | C4⋊(C3⋊D3) | — | 12 | 1 | no | — |
| 395 | C4⋊(C3⋊D3) | C22×D3 | 1 | 2 | yes | complemented |
| 396 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 397 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 398 | C4×C3⋊D3 | — | 3 | 4 | no | — |
| 399 | C4×C3⋊D3 | — | 3 | 2 | no | — |
| 400 | C4×C3⋊D3 | — | 6 | 4 | no | — |
| 401 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 402 | C4×C3⋊D3 | — | 12 | 2 | no | — |
| 403 | C4×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 404 | C4×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic |
| 405 | C4×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 406 | C4×C3⋊D3 | C22×D3 | 1 | 4 | yes | complemented |
| 407 | C4×C3⋊D3 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 408 | #634 | — | 3 | 2 | no | — |
| 409 | #634 | — | 3 | 1 | no | — |
| 410 | #634 | — | 3 | 2 | no | — |
| 411 | #634 | — | 6 | 1 | no | — |
| 412 | #634 | — | 6 | 2 | no | — |
| 413 | #634 | — | 12 | 1 | no | — |
| 414 | #634 | C22×D3 | 1 | 2 | yes | complemented |
| 415 | C3×#67 | — | 2 | 2 | no | — |
| 416 | C3×#67 | — | 3 | 4 | no | — |
| 417 | C3×#67 | — | 3 | 4 | no | — |
| 418 | C3×#67 | — | 3 | 8 | no | — |
| 419 | C3×#67 | — | 3 | 8 | no | — |
| 420 | C3×#67 | — | 3 | 8 | no | — |
| 421 | C3×#67 | — | 3 | 8 | no | — |
| 422 | C3×#67 | — | 3 | 8 | no | — |
| 423 | C3×#67 | — | 6 | 4 | no | — |
| 424 | C3×#67 | C22×D3 | 1 | 4 | yes | complemented |
| 425 | C2×C3×Dic3 | — | 3 | 2 | no | — |
| 426 | C2×C3×Dic3 | — | 3 | 8 | no | — |
| 427 | C2×C3×Dic3 | — | 6 | 1 | no | — |
| 428 | C3×D12 | — | 2 | 4 | no | — |
| 429 | C3×D12 | — | 2 | 1 | no | — |
| 430 | C3×D12 | — | 2 | 4 | no | — |
| 431 | C3×D12 | — | 3 | 8 | no | — |
| 432 | C3×D12 | — | 3 | 2 | no | — |
| 433 | C3×D12 | — | 3 | 2 | no | — |
| 434 | C3×D12 | — | 6 | 2 | no | — |
| 435 | C3×D12 | C22×D3 | 1 | 4 | yes | complemented |
| 436 | C3×D12 | C22×D3 | 1 | 4 | yes | complemented |
| 437 | C3×D12 | C22×D3 | 1 | 2 | yes | complemented |
| 438 | C3×D12 | C22×D3 | 1 | 4 | yes | complemented |
| 439 | C3×D12 | C22×D3 | 1 | 4 | yes | complemented |
| 440 | C3×C4×D3 | — | 2 | 2 | no | — |
| 441 | C3×C4×D3 | — | 3 | 8 | no | — |
| 442 | C3×C4×D3 | — | 3 | 2 | no | — |
| 443 | C3×C4×D3 | — | 3 | 2 | no | — |
| 444 | C3×C4×D3 | — | 3 | 2 | no | — |
| 445 | C3×C4×D3 | — | 3 | 2 | no | — |
| 446 | C3×C4×D3 | — | 3 | 4 | no | — |
| 447 | C3×C4×D3 | — | 3 | 4 | no | — |
| 448 | C3×C4×D3 | — | 6 | 1 | no | — |
| 449 | C3×C4×D3 | — | 6 | 1 | no | — |
| 450 | C3×C4×D3 | — | 6 | 1 | no | — |
| 451 | C3×C4×D3 | — | 6 | 4 | no | — |
| 452 | C3×C4×D3 | — | 6 | 1 | no | — |
| 453 | C3×C4×D3 | C22×D3 | 1 | 4 | yes | complemented |
| 454 | C3×Dic6 | — | 2 | 1 | no | — |
| 455 | C3×Dic6 | — | 3 | 2 | no | — |
| 456 | C3×Dic6 | — | 3 | 2 | no | — |
| 457 | C3×Dic6 | — | 6 | 2 | no | — |
| 458 | C3×Dic6 | C22×D3 | 1 | 2 | yes | complemented |
| 459 | #627 | — | 3 | 4 | no | — |
| 460 | #627 | — | 3 | 2 | no | — |
| 461 | #627 | — | 3 | 4 | no | — |
| 462 | #627 | — | 6 | 2 | no | — |
| 463 | #626 | — | 3 | 4 | no | — |
| 464 | #626 | — | 3 | 4 | no | — |
| 465 | #626 | — | 3 | 4 | no | — |
| 466 | #626 | — | 3 | 8 | no | — |
| 467 | #626 | — | 3 | 8 | no | — |
| 468 | #626 | — | 3 | 4 | no | — |
| 469 | #626 | — | 3 | 4 | no | — |
| 470 | #626 | — | 6 | 8 | no | — |
| 471 | #626 | — | 6 | 2 | no | — |
| 472 | #626 | — | 6 | 2 | no | — |
| 473 | #626 | C22×D3 | 1 | 8 | yes | complemented |
| 474 | #625 | — | 3 | 8 | no | — |
| 475 | #625 | — | 3 | 4 | no | — |
| 476 | #625 | — | 3 | 8 | no | — |
| 477 | #625 | — | 3 | 4 | no | — |
| 478 | #625 | — | 3 | 2 | no | — |
| 479 | #625 | — | 6 | 2 | no | — |
| 480 | #625 | — | 6 | 8 | no | — |
| 481 | #625 | C22×D3 | 1 | 4 | yes | complemented |
| 482 | #625 | C22×D3 | 1 | 8 | yes | complemented |
| 483 | #625 | C22×D3 | 1 | 4 | yes | complemented |
| 484 | #624 | — | 3 | 2 | no | — |
| 485 | #624 | — | 3 | 4 | no | — |
| 486 | #624 | — | 3 | 4 | no | — |
| 487 | #624 | — | 6 | 2 | no | — |
| 488 | D3×Dic3 | — | 3 | 8 | no | — |
| 489 | D3×Dic3 | — | 3 | 8 | no | — |
| 490 | D3×Dic3 | — | 3 | 4 | no | — |
| 491 | D3×Dic3 | — | 3 | 4 | no | — |
| 492 | D3×Dic3 | — | 3 | 4 | no | — |
| 493 | D3×Dic3 | — | 3 | 4 | no | — |
| 494 | D3×Dic3 | — | 3 | 4 | no | — |
| 495 | D3×Dic3 | — | 6 | 8 | no | — |
| 496 | D3×Dic3 | — | 6 | 2 | no | — |
| 497 | D3×Dic3 | — | 6 | 2 | no | — |
| 498 | D3×Dic3 | C22×D3 | 1 | 8 | yes | complemented |
| 499 | C2×H(5,𝔽2) | — | 27 | 1 | no | Sylow |
| 500 | C2×C33 | — | 2 | 1 | no | — |
| 501 | C2×C33 | C25 | 1 | 1 | yes | characteristic |
| 502 | C3⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 503 | C3×C3⋊D3 | — | 2 | 1 | no | — |
| 504 | C3×C3⋊D3 | — | 2 | 4 | no | — |
| 505 | C3×C3⋊D3 | H(5,𝔽2) | 1 | 2 | yes | complemented |
| 506 | C32×D3 | — | 2 | 8 | no | — |
| 507 | C32×D3 | — | 2 | 2 | no | — |
| 508 | C24×C3 | — | 9 | 2 | no | — |
| 509 | C23×D3 | — | 3 | 4 | no | — |
| 510 | C23×D3 | — | 9 | 8 | no | — |
| 511 | C23×D3 | — | 9 | 4 | no | — |
| 512 | C3×#41 | — | 3 | 2 | no | — |
| 513 | C3×#41 | — | 6 | 1 | no | — |
| 514 | C3×#41 | — | 9 | 4 | no | — |
| 515 | C3×#41 | — | 9 | 4 | no | — |
| 516 | C3×#41 | — | 9 | 2 | no | — |
| 517 | C2×C3×D4 | — | 3 | 2 | no | — |
| 518 | C2×C3×D4 | — | 3 | 2 | no | — |
| 519 | C2×C3×D4 | — | 6 | 2 | no | — |
| 520 | C2×C3×D4 | — | 9 | 4 | no | — |
| 521 | C2×C3×D4 | — | 9 | 2 | no | — |
| 522 | C2×C3×D4 | — | 9 | 2 | no | — |
| 523 | C2×C3×D4 | — | 9 | 4 | no | — |
| 524 | C2×C3×D4 | — | 9 | 2 | no | — |
| 525 | C2×C3×D4 | — | 9 | 2 | no | — |
| 526 | C2×C3×D4 | — | 9 | 8 | no | — |
| 527 | C2×C3×D4 | — | 9 | 2 | no | — |
| 528 | C22×C3×C4 | — | 9 | 1 | no | — |
| 529 | C2×#67 | — | 3 | 4 | no | — |
| 530 | C2×#67 | — | 3 | 8 | no | — |
| 531 | C2×#67 | — | 9 | 8 | no | — |
| 532 | C2×#67 | — | 9 | 2 | no | — |
| 533 | C2×#67 | — | 9 | 4 | no | — |
| 534 | C2×#67 | — | 9 | 4 | no | — |
| 535 | C2×#67 | — | 9 | 8 | no | — |
| 536 | C2×#67 | — | 9 | 8 | no | — |
| 537 | C2×#67 | — | 9 | 8 | no | — |
| 538 | C2×#67 | — | 9 | 8 | no | — |
| 539 | C2×#67 | — | 9 | 8 | no | — |
| 540 | C2×#67 | — | 9 | 8 | no | — |
| 541 | C2×#67 | — | 9 | 2 | no | — |
| 542 | C2×#67 | — | 18 | 8 | no | — |
| 543 | C22×Dic3 | — | 9 | 4 | no | — |
| 544 | #239 | — | 3 | 4 | no | — |
| 545 | #239 | — | 9 | 2 | no | — |
| 546 | #239 | — | 9 | 2 | no | — |
| 547 | #239 | — | 9 | 4 | no | — |
| 548 | #239 | — | 18 | 1 | no | — |
| 549 | D3×Q8 | — | 9 | 2 | no | — |
| 550 | D3×Q8 | — | 9 | 2 | no | — |
| 551 | D3×Q8 | — | 18 | 1 | no | — |
| 552 | #237 | — | 3 | 4 | no | — |
| 553 | #237 | — | 3 | 4 | no | — |
| 554 | #237 | — | 9 | 2 | no | — |
| 555 | #237 | — | 9 | 4 | no | — |
| 556 | #237 | — | 9 | 4 | no | — |
| 557 | #237 | — | 9 | 8 | no | — |
| 558 | #237 | — | 9 | 4 | no | — |
| 559 | #237 | — | 9 | 2 | no | — |
| 560 | #237 | — | 9 | 4 | no | — |
| 561 | #237 | — | 9 | 4 | no | — |
| 562 | #237 | — | 9 | 8 | no | — |
| 563 | #237 | — | 9 | 4 | no | — |
| 564 | #237 | — | 9 | 4 | no | — |
| 565 | #237 | — | 9 | 4 | no | — |
| 566 | #237 | — | 9 | 8 | no | — |
| 567 | #237 | — | 18 | 4 | no | — |
| 568 | #237 | — | 18 | 4 | no | — |
| 569 | #237 | — | 18 | 1 | no | — |
| 570 | #237 | — | 18 | 2 | no | — |
| 571 | D3×D4 | — | 3 | 8 | no | — |
| 572 | D3×D4 | — | 3 | 4 | no | — |
| 573 | D3×D4 | — | 3 | 4 | no | — |
| 574 | D3×D4 | — | 3 | 4 | no | — |
| 575 | D3×D4 | — | 3 | 4 | no | — |
| 576 | D3×D4 | — | 3 | 4 | no | — |
| 577 | D3×D4 | — | 3 | 4 | no | — |
| 578 | D3×D4 | — | 3 | 4 | no | — |
| 579 | D3×D4 | — | 9 | 2 | no | — |
| 580 | D3×D4 | — | 9 | 2 | no | — |
| 581 | D3×D4 | — | 9 | 4 | no | — |
| 582 | D3×D4 | — | 9 | 4 | no | — |
| 583 | D3×D4 | — | 9 | 8 | no | — |
| 584 | D3×D4 | — | 9 | 8 | no | — |
| 585 | D3×D4 | — | 9 | 4 | no | — |
| 586 | D3×D4 | — | 9 | 4 | no | — |
| 587 | D3×D4 | — | 9 | 8 | no | — |
| 588 | D3×D4 | — | 9 | 4 | no | — |
| 589 | D3×D4 | — | 9 | 4 | no | — |
| 590 | D3×D4 | — | 9 | 8 | no | — |
| 591 | D3×D4 | — | 9 | 8 | no | — |
| 592 | D3×D4 | — | 9 | 8 | no | — |
| 593 | D3×D4 | — | 9 | 4 | no | — |
| 594 | D3×D4 | — | 9 | 4 | no | — |
| 595 | D3×D4 | — | 9 | 8 | no | — |
| 596 | D3×D4 | — | 9 | 8 | no | — |
| 597 | D3×D4 | — | 9 | 4 | no | — |
| 598 | D3×D4 | — | 18 | 4 | no | — |
| 599 | D3×D4 | — | 18 | 1 | no | — |
| 600 | D3×D4 | — | 18 | 4 | no | — |
| 601 | D3×D4 | — | 18 | 2 | no | — |
| 602 | #235 | — | 3 | 2 | no | — |
| 603 | #235 | — | 3 | 2 | no | — |
| 604 | #235 | — | 3 | 4 | no | — |
| 605 | #235 | — | 6 | 2 | no | — |
| 606 | #235 | — | 9 | 2 | no | — |
| 607 | #235 | — | 9 | 2 | no | — |
| 608 | #235 | — | 9 | 4 | no | — |
| 609 | #235 | — | 9 | 8 | no | — |
| 610 | #235 | — | 9 | 4 | no | — |
| 611 | #235 | — | 9 | 8 | no | — |
| 612 | #235 | — | 9 | 2 | no | — |
| 613 | #235 | — | 9 | 1 | no | — |
| 614 | #235 | — | 9 | 2 | no | — |
| 615 | #235 | — | 9 | 2 | no | — |
| 616 | #235 | — | 9 | 1 | no | — |
| 617 | #235 | — | 9 | 4 | no | — |
| 618 | #235 | — | 9 | 2 | no | — |
| 619 | #235 | — | 9 | 1 | no | — |
| 620 | #235 | — | 18 | 2 | no | — |
| 621 | #235 | — | 18 | 2 | no | — |
| 622 | #235 | — | 18 | 1 | no | — |
| 623 | #235 | — | 36 | 1 | no | — |
| 624 | #235 | D32 | 1 | 1 | yes | characteristic, complemented |
| 625 | C2×D12 | — | 3 | 4 | no | — |
| 626 | C2×D12 | — | 9 | 1 | no | — |
| 627 | C2×D12 | — | 9 | 8 | no | — |
| 628 | C2×D12 | — | 9 | 1 | no | — |
| 629 | C2×D12 | — | 9 | 4 | no | — |
| 630 | C2×D12 | D32 | 1 | 2 | yes | complemented |
| 631 | C2×C4×D3 | — | 3 | 2 | no | — |
| 632 | C2×C4×D3 | — | 6 | 1 | no | — |
| 633 | C2×C4×D3 | — | 9 | 2 | no | — |
| 634 | C2×C4×D3 | — | 9 | 4 | no | — |
| 635 | C2×C4×D3 | — | 9 | 4 | no | — |
| 636 | C2×C4×D3 | — | 9 | 8 | no | — |
| 637 | C2×C4×D3 | — | 9 | 2 | no | — |
| 638 | C2×C4×D3 | — | 18 | 2 | no | — |
| 639 | C2×Dic6 | — | 9 | 1 | no | — |
| 640 | C2×Dic6 | — | 9 | 1 | no | — |
| 641 | C22×C32 | — | 2 | 1 | no | — |
| 642 | C22×C32 | — | 2 | 2 | no | — |
| 643 | C22×C32 | — | 3 | 8 | no | — |
| 644 | C22×C32 | — | 3 | 2 | no | — |
| 645 | C22×C32 | — | 4 | 1 | no | — |
| 646 | C22×C32 | — | 12 | 4 | no | — |
| 647 | C22×C32 | C23×D3 | 1 | 2 | yes | — |
| 648 | C22×C32 | C23×D3 | 1 | 1 | yes | characteristic |
| 649 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 650 | C2×C3⋊D3 | — | 3 | 4 | no | — |
| 651 | C2×C3⋊D3 | — | 3 | 2 | no | — |
| 652 | C2×C3⋊D3 | — | 6 | 2 | no | — |
| 653 | C2×C3⋊D3 | — | 6 | 4 | no | — |
| 654 | C2×C3⋊D3 | — | 6 | 4 | no | — |
| 655 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 656 | C2×C3⋊D3 | — | 12 | 8 | no | — |
| 657 | C2×C3⋊D3 | C23×D3 | 1 | 4 | yes | — |
| 658 | C2×C3⋊D3 | C23×D3 | 1 | 1 | yes | characteristic |
| 659 | C2×C3⋊D3 | C23×D3 | 1 | 1 | yes | characteristic |
| 660 | C2×C3×D3 | — | 2 | 2 | no | — |
| 661 | C2×C3×D3 | — | 2 | 8 | no | — |
| 662 | C2×C3×D3 | — | 3 | 2 | no | — |
| 663 | C2×C3×D3 | — | 3 | 4 | no | — |
| 664 | C2×C3×D3 | — | 3 | 4 | no | — |
| 665 | C2×C3×D3 | — | 3 | 2 | no | — |
| 666 | C2×C3×D3 | — | 4 | 4 | no | — |
| 667 | C2×C3×D3 | — | 4 | 4 | no | — |
| 668 | C2×C3×D3 | — | 6 | 1 | no | — |
| 669 | C2×C3×D3 | — | 6 | 1 | no | — |
| 670 | C2×C3×D3 | — | 6 | 4 | no | — |
| 671 | C2×C3×D3 | — | 6 | 16 | no | — |
| 672 | C2×C3×D3 | — | 6 | 4 | no | — |
| 673 | C2×C3×D3 | — | 8 | 4 | no | — |
| 674 | C2×C3×D3 | — | 12 | 2 | no | — |
| 675 | C2×C3×D3 | — | 12 | 8 | no | — |
| 676 | C2×C3×D3 | — | 12 | 8 | no | — |
| 677 | C2×C3×D3 | — | 12 | 8 | no | — |
| 678 | C2×C3×D3 | C23×D3 | 1 | 8 | yes | — |
| 679 | C2×C3×D3 | C23×D3 | 1 | 8 | yes | — |
| 680 | C2×C3×D3 | C23×D3 | 1 | 4 | yes | — |
| 681 | D32 | — | 2 | 8 | no | — |
| 682 | D32 | — | 4 | 4 | no | — |
| 683 | D32 | — | 4 | 8 | no | — |
| 684 | D32 | — | 6 | 8 | no | — |
| 685 | D32 | — | 6 | 8 | no | — |
| 686 | D32 | — | 6 | 4 | no | — |
| 687 | D32 | — | 12 | 4 | no | — |
| 688 | D32 | — | 12 | 8 | no | — |
| 689 | D32 | — | 12 | 8 | no | — |
| 690 | D32 | — | 24 | 8 | no | — |
| 691 | C32×C4 | — | 2 | 1 | no | — |
| 692 | C32×C4 | — | 2 | 2 | no | — |
| 693 | C32×C4 | — | 2 | 1 | no | — |
| 694 | C32×C4 | — | 2 | 2 | no | — |
| 695 | C32×C4 | — | 3 | 2 | no | — |
| 696 | C32×C4 | — | 4 | 1 | no | — |
| 697 | C32×C4 | — | 4 | 1 | no | — |
| 698 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 699 | C32×C4 | C23×D3 | 1 | 2 | yes | — |
| 700 | C32×C4 | C23×D3 | 1 | 2 | yes | — |
| 701 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 702 | C3⋊Dic3 | — | 3 | 2 | no | — |
| 703 | C3⋊Dic3 | — | 3 | 4 | no | — |
| 704 | C3⋊Dic3 | — | 6 | 4 | no | — |
| 705 | C3⋊Dic3 | — | 6 | 2 | no | — |
| 706 | C3⋊Dic3 | — | 12 | 2 | no | — |
| 707 | C3⋊Dic3 | C23×D3 | 1 | 1 | yes | characteristic |
| 708 | C3⋊Dic3 | C23×D3 | 1 | 4 | yes | — |
| 709 | C3⋊Dic3 | C23×D3 | 1 | 1 | yes | characteristic |
| 710 | C3×Dic3 | — | 2 | 2 | no | — |
| 711 | C3×Dic3 | — | 3 | 4 | no | — |
| 712 | C3×Dic3 | — | 3 | 4 | no | — |
| 713 | C3×Dic3 | — | 3 | 2 | no | — |
| 714 | C3×Dic3 | — | 3 | 2 | no | — |
| 715 | C3×Dic3 | — | 6 | 1 | no | — |
| 716 | C3×Dic3 | — | 6 | 4 | no | — |
| 717 | C3×Dic3 | — | 6 | 1 | no | — |
| 718 | C3×Dic3 | C23×D3 | 1 | 4 | yes | — |
| 719 | H(5,𝔽2) | — | 9 | 2 | no | — |
| 720 | H(5,𝔽2) | — | 27 | 2 | no | — |
| 721 | H(5,𝔽2) | — | 27 | 2 | no | — |
| 722 | H(5,𝔽2) | — | 27 | 4 | no | — |
| 723 | H(5,𝔽2) | — | 27 | 4 | no | — |
| 724 | H(5,𝔽2) | — | 27 | 2 | no | — |
| 725 | C2×#41 | — | 27 | 1 | no | — |
| 726 | C2×#41 | — | 27 | 1 | no | — |
| 727 | C2×#41 | — | 27 | 2 | no | — |
| 728 | C2×#41 | — | 27 | 2 | no | — |
| 729 | C22×D4 | — | 9 | 1 | no | — |
| 730 | C22×D4 | — | 27 | 2 | no | — |
| 731 | C22×D4 | — | 27 | 2 | no | — |
| 732 | C22×D4 | — | 27 | 4 | no | — |
| 733 | C33 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic, complemented, Sylow |
| 734 | C23×C3 | — | 3 | 4 | no | — |
| 735 | C23×C3 | — | 3 | 4 | no | — |
| 736 | C23×C3 | — | 6 | 4 | no | — |
| 737 | C23×C3 | — | 9 | 4 | no | — |
| 738 | C23×C3 | — | 9 | 4 | no | — |
| 739 | C23×C3 | — | 9 | 8 | no | — |
| 740 | C23×C3 | — | 9 | 1 | no | — |
| 741 | C23×C3 | — | 36 | 4 | no | — |
| 742 | C22×D3 | — | 3 | 2 | no | — |
| 743 | C22×D3 | — | 3 | 8 | no | — |
| 744 | C22×D3 | — | 3 | 8 | no | — |
| 745 | C22×D3 | — | 3 | 8 | no | — |
| 746 | C22×D3 | — | 3 | 8 | no | — |
| 747 | C22×D3 | — | 6 | 1 | no | — |
| 748 | C22×D3 | — | 9 | 2 | no | — |
| 749 | C22×D3 | — | 9 | 4 | no | — |
| 750 | C22×D3 | — | 9 | 4 | no | — |
| 751 | C22×D3 | — | 9 | 8 | no | — |
| 752 | C22×D3 | — | 9 | 8 | no | — |
| 753 | C22×D3 | — | 9 | 2 | no | — |
| 754 | C22×D3 | — | 9 | 8 | no | — |
| 755 | C22×D3 | — | 12 | 8 | no | — |
| 756 | C22×D3 | — | 18 | 2 | no | — |
| 757 | C22×D3 | — | 18 | 8 | no | — |
| 758 | C22×D3 | — | 36 | 16 | no | — |
| 759 | C22×D3 | — | 36 | 8 | no | — |
| 760 | C22×D3 | C2×D32 | 1 | 4 | yes | complemented |
| 761 | C3×Q8 | — | 3 | 2 | no | — |
| 762 | C3×Q8 | — | 6 | 1 | no | — |
| 763 | C3×Q8 | — | 9 | 2 | no | — |
| 764 | C3×D4 | — | 3 | 4 | no | — |
| 765 | C3×D4 | — | 3 | 4 | no | — |
| 766 | C3×D4 | — | 3 | 4 | no | — |
| 767 | C3×D4 | — | 3 | 2 | no | — |
| 768 | C3×D4 | — | 3 | 4 | no | — |
| 769 | C3×D4 | — | 3 | 4 | no | — |
| 770 | C3×D4 | — | 6 | 4 | no | — |
| 771 | C3×D4 | — | 6 | 4 | no | — |
| 772 | C3×D4 | — | 6 | 1 | no | — |
| 773 | C3×D4 | — | 6 | 2 | no | — |
| 774 | C3×D4 | — | 9 | 8 | no | — |
| 775 | C3×D4 | — | 9 | 8 | no | — |
| 776 | C3×D4 | — | 9 | 4 | no | — |
| 777 | C3×D4 | — | 9 | 4 | no | — |
| 778 | C3×D4 | — | 9 | 4 | no | — |
| 779 | C3×D4 | — | 9 | 2 | no | — |
| 780 | C2×C3×C4 | — | 2 | 1 | no | — |
| 781 | C2×C3×C4 | — | 2 | 2 | no | — |
| 782 | C2×C3×C4 | — | 3 | 4 | no | — |
| 783 | C2×C3×C4 | — | 4 | 1 | no | — |
| 784 | C2×C3×C4 | — | 6 | 2 | no | — |
| 785 | C2×C3×C4 | — | 9 | 8 | no | — |
| 786 | C2×C3×C4 | — | 9 | 1 | no | — |
| 787 | C2×C3×C4 | — | 9 | 1 | no | — |
| 788 | C2×C3×C4 | — | 9 | 1 | no | — |
| 789 | C2×C3×C4 | — | 9 | 4 | no | — |
| 790 | C2×C3×C4 | — | 9 | 1 | no | — |
| 791 | C2×C3×C4 | — | 9 | 1 | no | — |
| 792 | C2×C3×C4 | C2×D32 | 1 | 2 | yes | complemented |
| 793 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 794 | #67 | — | 3 | 4 | no | — |
| 795 | #67 | — | 3 | 4 | no | — |
| 796 | #67 | — | 3 | 8 | no | — |
| 797 | #67 | — | 3 | 8 | no | — |
| 798 | #67 | — | 3 | 8 | no | — |
| 799 | #67 | — | 3 | 8 | no | — |
| 800 | #67 | — | 3 | 8 | no | — |
| 801 | #67 | — | 6 | 4 | no | — |
| 802 | #67 | — | 9 | 4 | no | — |
| 803 | #67 | — | 9 | 4 | no | — |
| 804 | #67 | — | 9 | 4 | no | — |
| 805 | #67 | — | 9 | 8 | no | — |
| 806 | #67 | — | 9 | 4 | no | — |
| 807 | #67 | — | 9 | 8 | no | — |
| 808 | #67 | — | 9 | 4 | no | — |
| 809 | #67 | — | 9 | 8 | no | — |
| 810 | #67 | — | 9 | 8 | no | — |
| 811 | #67 | — | 9 | 2 | no | — |
| 812 | #67 | — | 9 | 4 | no | — |
| 813 | #67 | — | 9 | 2 | no | — |
| 814 | #67 | — | 9 | 8 | no | — |
| 815 | #67 | — | 9 | 2 | no | — |
| 816 | #67 | — | 18 | 2 | no | — |
| 817 | #67 | — | 18 | 8 | no | — |
| 818 | #67 | — | 18 | 2 | no | — |
| 819 | #67 | — | 18 | 8 | no | — |
| 820 | #67 | — | 18 | 2 | no | — |
| 821 | #67 | — | 18 | 4 | no | — |
| 822 | #67 | — | 36 | 2 | no | — |
| 823 | #67 | C2×D32 | 1 | 2 | yes | complemented |
| 824 | C2×Dic3 | — | 3 | 2 | no | — |
| 825 | C2×Dic3 | — | 3 | 8 | no | — |
| 826 | C2×Dic3 | — | 6 | 1 | no | — |
| 827 | C2×Dic3 | — | 9 | 2 | no | — |
| 828 | C2×Dic3 | — | 9 | 4 | no | — |
| 829 | C2×Dic3 | — | 9 | 8 | no | — |
| 830 | C2×Dic3 | — | 9 | 4 | no | — |
| 831 | C2×Dic3 | — | 9 | 8 | no | — |
| 832 | C2×Dic3 | — | 9 | 2 | no | — |
| 833 | C2×Dic3 | — | 18 | 2 | no | — |
| 834 | C2×Dic3 | — | 18 | 8 | no | — |
| 835 | D12 | — | 3 | 8 | no | — |
| 836 | D12 | — | 3 | 2 | no | — |
| 837 | D12 | — | 3 | 2 | no | — |
| 838 | D12 | — | 6 | 2 | no | — |
| 839 | D12 | — | 9 | 4 | no | — |
| 840 | D12 | — | 9 | 4 | no | — |
| 841 | D12 | — | 9 | 2 | no | — |
| 842 | D12 | — | 9 | 8 | no | — |
| 843 | D12 | — | 9 | 2 | no | — |
| 844 | D12 | — | 9 | 2 | no | — |
| 845 | D12 | — | 9 | 1 | no | — |
| 846 | D12 | — | 18 | 2 | no | — |
| 847 | D12 | — | 18 | 1 | no | — |
| 848 | D12 | — | 18 | 2 | no | — |
| 849 | D12 | — | 36 | 1 | no | — |
| 850 | D12 | C2×D32 | 1 | 4 | yes | complemented |
| 851 | D12 | C2×D32 | 1 | 4 | yes | complemented |
| 852 | D12 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 853 | C4×D3 | — | 3 | 8 | no | — |
| 854 | C4×D3 | — | 3 | 2 | no | — |
| 855 | C4×D3 | — | 3 | 2 | no | — |
| 856 | C4×D3 | — | 3 | 2 | no | — |
| 857 | C4×D3 | — | 3 | 2 | no | — |
| 858 | C4×D3 | — | 3 | 4 | no | — |
| 859 | C4×D3 | — | 3 | 4 | no | — |
| 860 | C4×D3 | — | 6 | 1 | no | — |
| 861 | C4×D3 | — | 6 | 1 | no | — |
| 862 | C4×D3 | — | 6 | 1 | no | — |
| 863 | C4×D3 | — | 6 | 1 | no | — |
| 864 | C4×D3 | — | 6 | 4 | no | — |
| 865 | C4×D3 | — | 9 | 4 | no | — |
| 866 | C4×D3 | — | 9 | 4 | no | — |
| 867 | C4×D3 | — | 9 | 4 | no | — |
| 868 | C4×D3 | — | 9 | 4 | no | — |
| 869 | C4×D3 | — | 9 | 4 | no | — |
| 870 | C4×D3 | — | 9 | 2 | no | — |
| 871 | C4×D3 | — | 9 | 8 | no | — |
| 872 | C4×D3 | — | 9 | 2 | no | — |
| 873 | C4×D3 | — | 9 | 4 | no | — |
| 874 | C4×D3 | — | 9 | 2 | no | — |
| 875 | C4×D3 | — | 18 | 2 | no | — |
| 876 | C4×D3 | — | 18 | 2 | no | — |
| 877 | C4×D3 | — | 18 | 4 | no | — |
| 878 | C4×D3 | — | 18 | 2 | no | — |
| 879 | C4×D3 | — | 36 | 2 | no | — |
| 880 | C4×D3 | C2×D32 | 1 | 2 | yes | complemented |
| 881 | Dic6 | — | 3 | 2 | no | — |
| 882 | Dic6 | — | 3 | 2 | no | — |
| 883 | Dic6 | — | 6 | 2 | no | — |
| 884 | Dic6 | — | 9 | 2 | no | — |
| 885 | Dic6 | — | 9 | 4 | no | — |
| 886 | Dic6 | — | 9 | 4 | no | — |
| 887 | Dic6 | — | 9 | 1 | no | — |
| 888 | Dic6 | — | 9 | 2 | no | — |
| 889 | Dic6 | — | 9 | 2 | no | — |
| 890 | Dic6 | — | 18 | 2 | no | — |
| 891 | Dic6 | — | 18 | 2 | no | — |
| 892 | Dic6 | — | 18 | 1 | no | — |
| 893 | Dic6 | — | 36 | 1 | no | — |
| 894 | Dic6 | C2×D32 | 1 | 1 | yes | characteristic, complemented |
| 895 | C2×C32 | — | 2 | 1 | no | — |
| 896 | C2×C32 | — | 2 | 2 | no | — |
| 897 | C2×C32 | — | 2 | 1 | no | — |
| 898 | C2×C32 | — | 2 | 2 | no | — |
| 899 | C2×C32 | — | 4 | 1 | no | — |
| 900 | C2×C32 | — | 4 | 2 | no | — |
| 901 | C2×C32 | — | 4 | 1 | no | — |
| 902 | C2×C32 | — | 6 | 2 | no | — |
| 903 | C2×C32 | — | 6 | 8 | no | — |
| 904 | C2×C32 | — | 8 | 1 | no | — |
| 905 | C2×C32 | C24×D3 | 1 | 1 | yes | characteristic |
| 906 | C2×C32 | C24×D3 | 1 | 2 | yes | — |
| 907 | C3⋊D3 | — | 2 | 1 | no | — |
| 908 | C3⋊D3 | — | 2 | 4 | no | — |
| 909 | C3⋊D3 | — | 6 | 2 | no | — |
| 910 | C3⋊D3 | — | 6 | 4 | no | — |
| 911 | C3⋊D3 | — | 12 | 2 | no | — |
| 912 | C3⋊D3 | — | 12 | 4 | no | — |
| 913 | C3⋊D3 | — | 24 | 2 | no | — |
| 914 | C3⋊D3 | #1004 | 1 | 2 | yes | complemented |
| 915 | C3×D3 | — | 2 | 8 | no | — |
| 916 | C3×D3 | — | 2 | 4 | no | — |
| 917 | C3×D3 | — | 2 | 8 | no | — |
| 918 | C3×D3 | — | 3 | 4 | no | — |
| 919 | C3×D3 | — | 4 | 2 | no | — |
| 920 | C3×D3 | — | 4 | 8 | no | — |
| 921 | C3×D3 | — | 6 | 2 | no | — |
| 922 | C3×D3 | — | 6 | 4 | no | — |
| 923 | C3×D3 | — | 6 | 4 | no | — |
| 924 | C3×D3 | — | 6 | 2 | no | — |
| 925 | C3×D3 | — | 12 | 4 | no | — |
| 926 | C3×D3 | — | 12 | 1 | no | — |
| 927 | C24 | — | 9 | 2 | no | — |
| 928 | C24 | — | 27 | 4 | no | — |
| 929 | #41 | — | 3 | 1 | no | — |
| 930 | #41 | — | 9 | 4 | no | — |
| 931 | #41 | — | 9 | 4 | no | — |
| 932 | #41 | — | 9 | 2 | no | — |
| 933 | #41 | — | 27 | 2 | no | — |
| 934 | #41 | — | 27 | 2 | no | — |
| 935 | #41 | — | 27 | 4 | no | — |
| 936 | #41 | — | 27 | 2 | no | — |
| 937 | #41 | — | 27 | 1 | no | — |
| 938 | #41 | — | 27 | 4 | no | — |
| 939 | #41 | — | 27 | 8 | no | — |
| 940 | #41 | — | 27 | 2 | no | — |
| 941 | #41 | — | 27 | 2 | no | — |
| 942 | #41 | — | 27 | 1 | no | — |
| 943 | #41 | — | 27 | 4 | no | — |
| 944 | #41 | — | 27 | 4 | no | — |
| 945 | #41 | — | 27 | 1 | no | — |
| 946 | C2×Q8 | — | 27 | 1 | no | — |
| 947 | C2×Q8 | — | 27 | 1 | no | — |
| 948 | C2×D4 | — | 3 | 2 | no | — |
| 949 | C2×D4 | — | 9 | 4 | no | — |
| 950 | C2×D4 | — | 9 | 2 | no | — |
| 951 | C2×D4 | — | 9 | 2 | no | — |
| 952 | C2×D4 | — | 9 | 2 | no | — |
| 953 | C2×D4 | — | 9 | 2 | no | — |
| 954 | C2×D4 | — | 9 | 4 | no | — |
| 955 | C2×D4 | — | 9 | 8 | no | — |
| 956 | C2×D4 | — | 9 | 2 | no | — |
| 957 | C2×D4 | — | 27 | 1 | no | — |
| 958 | C2×D4 | — | 27 | 4 | no | — |
| 959 | C2×D4 | — | 27 | 1 | no | — |
| 960 | C2×D4 | — | 27 | 8 | no | — |
| 961 | C2×D4 | — | 27 | 4 | no | — |
| 962 | C2×D4 | — | 27 | 2 | no | — |
| 963 | C2×D4 | — | 27 | 4 | no | — |
| 964 | C2×D4 | — | 27 | 4 | no | — |
| 965 | C2×D4 | — | 27 | 4 | no | — |
| 966 | C2×D4 | — | 27 | 2 | no | — |
| 967 | C2×D4 | — | 27 | 8 | no | — |
| 968 | C2×D4 | — | 27 | 8 | no | — |
| 969 | C2×D4 | — | 27 | 4 | no | — |
| 970 | C2×D4 | — | 27 | 8 | no | — |
| 971 | C22×C4 | — | 9 | 1 | no | — |
| 972 | C22×C4 | — | 27 | 2 | no | — |
| 973 | C22×C4 | — | 27 | 2 | no | — |
| 974 | C22×C4 | — | 27 | 4 | no | — |
| 975 | C22×C3 | — | 2 | 1 | no | — |
| 976 | C22×C3 | — | 2 | 2 | no | — |
| 977 | C22×C3 | — | 3 | 8 | no | — |
| 978 | C22×C3 | — | 3 | 4 | no | — |
| 979 | C22×C3 | — | 3 | 8 | no | — |
| 980 | C22×C3 | — | 4 | 1 | no | — |
| 981 | C22×C3 | — | 6 | 2 | no | — |
| 982 | C22×C3 | — | 6 | 8 | no | — |
| 983 | C22×C3 | — | 9 | 1 | no | — |
| 984 | C22×C3 | — | 9 | 4 | no | — |
| 985 | C22×C3 | — | 9 | 1 | no | — |
| 986 | C22×C3 | — | 12 | 4 | no | — |
| 987 | C22×C3 | — | 12 | 4 | no | — |
| 988 | C22×C3 | — | 18 | 2 | no | — |
| 989 | C22×C3 | — | 18 | 8 | no | — |
| 990 | C22×C3 | — | 24 | 4 | no | — |
| 991 | C22×C3 | — | 36 | 8 | no | — |
| 992 | C22×C3 | — | 36 | 4 | no | — |
| 993 | C22×C3 | C22×D32 | 1 | 2 | yes | — |
| 994 | C22×C3 | C22×D32 | 1 | 1 | yes | characteristic |
| 995 | C2×D3 | — | 3 | 2 | no | — |
| 996 | C2×D3 | — | 3 | 2 | no | — |
| 997 | C2×D3 | — | 3 | 4 | no | — |
| 998 | C2×D3 | — | 3 | 4 | no | — |
| 999 | C2×D3 | — | 4 | 4 | no | — |
| 1000 | C2×D3 | — | 6 | 1 | no | — |
| 1001 | C2×D3 | — | 6 | 1 | no | — |
| 1002 | C2×D3 | — | 6 | 4 | no | — |
| 1003 | C2×D3 | — | 6 | 16 | no | — |
| 1004 | C2×D3 | — | 6 | 4 | no | — |
| 1005 | C2×D3 | — | 9 | 4 | no | — |
| 1006 | C2×D3 | — | 9 | 2 | no | — |
| 1007 | C2×D3 | — | 12 | 2 | no | — |
| 1008 | C2×D3 | — | 12 | 8 | no | — |
| 1009 | C2×D3 | — | 12 | 8 | no | — |
| 1010 | C2×D3 | — | 12 | 8 | no | — |
| 1011 | C2×D3 | — | 18 | 2 | no | — |
| 1012 | C2×D3 | — | 18 | 4 | no | — |
| 1013 | C2×D3 | — | 18 | 4 | no | — |
| 1014 | C2×D3 | — | 18 | 8 | no | — |
| 1015 | C2×D3 | — | 18 | 8 | no | — |
| 1016 | C2×D3 | — | 18 | 4 | no | — |
| 1017 | C2×D3 | — | 36 | 2 | no | — |
| 1018 | C2×D3 | — | 36 | 4 | no | — |
| 1019 | C2×D3 | — | 36 | 8 | no | — |
| 1020 | C2×D3 | — | 36 | 8 | no | — |
| 1021 | C2×D3 | — | 36 | 8 | no | — |
| 1022 | C2×D3 | — | 72 | 8 | no | — |
| 1023 | C2×D3 | C22×D32 | 1 | 8 | yes | — |
| 1024 | C2×D3 | C22×D32 | 1 | 2 | yes | — |
| 1025 | C3×C4 | — | 2 | 2 | no | — |
| 1026 | C3×C4 | — | 2 | 2 | no | — |
| 1027 | C3×C4 | — | 2 | 1 | no | — |
| 1028 | C3×C4 | — | 2 | 1 | no | — |
| 1029 | C3×C4 | — | 3 | 4 | no | — |
| 1030 | C3×C4 | — | 4 | 1 | no | — |
| 1031 | C3×C4 | — | 4 | 1 | no | — |
| 1032 | C3×C4 | — | 6 | 2 | no | — |
| 1033 | C3×C4 | — | 9 | 1 | no | — |
| 1034 | C3×C4 | — | 9 | 1 | no | — |
| 1035 | C3×C4 | — | 9 | 4 | no | — |
| 1036 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1037 | C3×C4 | C22×D32 | 1 | 2 | yes | — |
| 1038 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 1039 | C3×C4 | C22×D32 | 1 | 2 | yes | — |
| 1040 | Dic3 | — | 3 | 4 | no | — |
| 1041 | Dic3 | — | 3 | 4 | no | — |
| 1042 | Dic3 | — | 3 | 2 | no | — |
| 1043 | Dic3 | — | 3 | 2 | no | — |
| 1044 | Dic3 | — | 6 | 4 | no | — |
| 1045 | Dic3 | — | 6 | 1 | no | — |
| 1046 | Dic3 | — | 6 | 1 | no | — |
| 1047 | Dic3 | — | 9 | 4 | no | — |
| 1048 | Dic3 | — | 9 | 2 | no | — |
| 1049 | Dic3 | — | 18 | 2 | no | — |
| 1050 | Dic3 | — | 18 | 4 | no | — |
| 1051 | Dic3 | — | 36 | 2 | no | — |
| 1052 | Dic3 | C22×D32 | 1 | 2 | yes | — |
| 1053 | C32 | — | 2 | 2 | no | — |
| 1054 | C32 | — | 2 | 1 | no | — |
| 1055 | C32 | — | 4 | 1 | no | — |
| 1056 | C32 | C2×#1004 | 1 | 1 | yes | characteristic, complemented |
| 1057 | C32 | D3×H(5,𝔽2) | 1 | 2 | yes | complemented |
| 1058 | C23 | — | 3 | 4 | no | — |
| 1059 | C23 | — | 9 | 4 | no | — |
| 1060 | C23 | — | 9 | 8 | no | — |
| 1061 | C23 | — | 9 | 4 | no | — |
| 1062 | C23 | — | 9 | 1 | no | — |
| 1063 | C23 | — | 27 | 2 | no | — |
| 1064 | C23 | — | 27 | 8 | no | — |
| 1065 | C23 | — | 27 | 2 | no | — |
| 1066 | C23 | — | 36 | 4 | no | — |
| 1067 | C23 | — | 108 | 8 | no | — |
| 1068 | Q8 | — | 3 | 1 | no | — |
| 1069 | Q8 | — | 9 | 2 | no | — |
| 1070 | Q8 | — | 27 | 2 | no | — |
| 1071 | Q8 | — | 27 | 2 | no | — |
| 1072 | Q8 | — | 27 | 1 | no | — |
| 1073 | D4 | — | 3 | 2 | no | — |
| 1074 | D4 | — | 3 | 4 | no | — |
| 1075 | D4 | — | 3 | 4 | no | — |
| 1076 | D4 | — | 3 | 1 | no | — |
| 1077 | D4 | — | 9 | 8 | no | — |
| 1078 | D4 | — | 9 | 4 | no | — |
| 1079 | D4 | — | 9 | 4 | no | — |
| 1080 | D4 | — | 9 | 8 | no | — |
| 1081 | D4 | — | 9 | 4 | no | — |
| 1082 | D4 | — | 9 | 2 | no | — |
| 1083 | D4 | — | 27 | 2 | no | — |
| 1084 | D4 | — | 27 | 2 | no | — |
| 1085 | D4 | — | 27 | 8 | no | — |
| 1086 | D4 | — | 27 | 2 | no | — |
| 1087 | D4 | — | 27 | 4 | no | — |
| 1088 | D4 | — | 27 | 2 | no | — |
| 1089 | D4 | — | 27 | 8 | no | — |
| 1090 | D4 | — | 27 | 2 | no | — |
| 1091 | D4 | — | 27 | 1 | no | — |
| 1092 | C2×C4 | — | 3 | 2 | no | — |
| 1093 | C2×C4 | — | 9 | 8 | no | — |
| 1094 | C2×C4 | — | 9 | 1 | no | — |
| 1095 | C2×C4 | — | 9 | 1 | no | — |
| 1096 | C2×C4 | — | 9 | 1 | no | — |
| 1097 | C2×C4 | — | 9 | 1 | no | — |
| 1098 | C2×C4 | — | 9 | 1 | no | — |
| 1099 | C2×C4 | — | 9 | 4 | no | — |
| 1100 | C2×C4 | — | 27 | 2 | no | — |
| 1101 | C2×C4 | — | 27 | 2 | no | — |
| 1102 | C2×C4 | — | 27 | 2 | no | — |
| 1103 | C2×C4 | — | 27 | 4 | no | — |
| 1104 | C2×C4 | — | 27 | 2 | no | — |
| 1105 | C2×C4 | — | 27 | 8 | no | — |
| 1106 | C2×C4 | — | 27 | 2 | no | — |
| 1107 | C2×C4 | D33 | 1 | 1 | yes | characteristic, complemented |
| 1108 | C2×C3 | — | 2 | 2 | no | — |
| 1109 | C2×C3 | — | 2 | 1 | no | — |
| 1110 | C2×C3 | — | 2 | 1 | no | — |
| 1111 | C2×C3 | — | 2 | 2 | no | — |
| 1112 | C2×C3 | — | 4 | 1 | no | — |
| 1113 | C2×C3 | — | 4 | 2 | no | — |
| 1114 | C2×C3 | — | 4 | 1 | no | — |
| 1115 | C2×C3 | — | 6 | 8 | no | — |
| 1116 | C2×C3 | — | 6 | 4 | no | — |
| 1117 | C2×C3 | — | 6 | 8 | no | — |
| 1118 | C2×C3 | — | 8 | 1 | no | — |
| 1119 | C2×C3 | — | 9 | 2 | no | — |
| 1120 | C2×C3 | — | 12 | 2 | no | — |
| 1121 | C2×C3 | — | 12 | 8 | no | — |
| 1122 | C2×C3 | — | 18 | 4 | no | — |
| 1123 | C2×C3 | — | 18 | 1 | no | — |
| 1124 | C2×C3 | C23×D32 | 1 | 2 | yes | — |
| 1125 | C2×C3 | C23×D32 | 1 | 1 | yes | characteristic |
| 1126 | D3 | — | 2 | 8 | no | — |
| 1127 | D3 | — | 2 | 2 | no | — |
| 1128 | D3 | — | 3 | 4 | no | — |
| 1129 | D3 | — | 6 | 2 | no | — |
| 1130 | D3 | — | 6 | 2 | no | — |
| 1131 | D3 | — | 6 | 4 | no | — |
| 1132 | D3 | — | 6 | 4 | no | — |
| 1133 | D3 | — | 12 | 1 | no | — |
| 1134 | D3 | — | 12 | 4 | no | — |
| 1135 | D3 | — | 18 | 4 | no | — |
| 1136 | D3 | — | 18 | 2 | no | — |
| 1137 | D3 | — | 36 | 2 | no | — |
| 1138 | D3 | — | 36 | 4 | no | — |
| 1139 | D3 | — | 72 | 2 | no | — |
| 1140 | C22 | — | 3 | 2 | no | — |
| 1141 | C22 | — | 3 | 8 | no | — |
| 1142 | C22 | — | 9 | 1 | no | — |
| 1143 | C22 | — | 9 | 1 | no | — |
| 1144 | C22 | — | 9 | 4 | no | — |
| 1145 | C22 | — | 12 | 4 | no | — |
| 1146 | C22 | — | 18 | 2 | no | — |
| 1147 | C22 | — | 18 | 8 | no | — |
| 1148 | C22 | — | 27 | 2 | no | — |
| 1149 | C22 | — | 36 | 4 | no | — |
| 1150 | C22 | — | 36 | 8 | no | — |
| 1151 | C22 | — | 54 | 4 | no | — |
| 1152 | C22 | — | 54 | 4 | no | — |
| 1153 | C22 | — | 108 | 8 | no | — |
| 1154 | C22 | C2×D33 | 1 | 1 | yes | characteristic |
| 1155 | C4 | — | 3 | 2 | no | — |
| 1156 | C4 | — | 9 | 1 | no | — |
| 1157 | C4 | — | 9 | 1 | no | — |
| 1158 | C4 | — | 9 | 4 | no | — |
| 1159 | C4 | — | 27 | 2 | no | — |
| 1160 | C4 | C2×D33 | 1 | 1 | yes | characteristic |
| 1161 | C4 | C2×D33 | 1 | 1 | yes | characteristic |
| 1162 | C3 | — | 2 | 1 | no | — |
| 1163 | C3 | — | 2 | 2 | no | — |
| 1164 | C3 | — | 4 | 1 | no | — |
| 1165 | C3 | D3×#1004 | 1 | 2 | yes | complemented |
| 1166 | C3 | #10596692 | 1 | 1 | yes | characteristic, complemented |
| 1167 | C2 | — | 2 | 1 | no | — |
| 1168 | C2 | — | 6 | 8 | no | — |
| 1169 | C2 | — | 6 | 2 | no | — |
| 1170 | C2 | — | 9 | 2 | no | — |
| 1171 | C2 | — | 18 | 1 | no | — |
| 1172 | C2 | — | 18 | 4 | no | — |
| 1173 | C2 | — | 54 | 2 | no | — |
| 1174 | 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. #11724618 | C2 | semidirect |
| 2. #11724579 | C2 | semidirect |
| 3. C3⋊D3×#235 | C2 | semidirect |
| 4. C3×#64307 | C2 | semidirect |
| 5. C2×C3×#3802 | C2 | semidirect |
| 6. D32×#67 | C2 | semidirect |
| 7. #11724414 | C2 | semidirect |
| 8. #11724403 | C2 | semidirect |
| 9. D3×#3802 | C2 | semidirect |
| 10. #11724386 | C2 | semidirect |
| 11. #11724382 | C2 | semidirect |
| 12. #11724381 | C2 | semidirect |
| 13. #11724374 | C2 | semidirect |
| 14. #11724373 | C2 | semidirect |
| 17. C22×C3×D32 | C22 | semidirect |
| 18. C2×D33 | C22 | semidirect |
| 19. #89076 | C22 | semidirect |
| 20. C3×#3828 | C22 | semidirect |
| 21. C2×C3×C4×C3⋊D3 | C22 | semidirect |
| 22. C32×#235 | C22 | semidirect |
| 23. C2×C32×D12 | C22 | semidirect |
| 24. #89049 | C22 | semidirect |
| 25. #89046 | C22 | semidirect |
| 26. C4⋊#1113 | C22 | semidirect |
| 27. C4×#1113 | C22 | semidirect |
| 28. #89042 | C22 | semidirect |
| 29. #89041 | C22 | semidirect |
| 30. #89040 | C22 | semidirect |
| 31. C3⋊D3×#67 | C22 | semidirect |
| 32. D3×#638 | C22 | semidirect |
| 33. #89028 | C22 | semidirect |
| 34. #89026 | C22 | semidirect |
| 35. C3⋊D3×D12 | C22 | semidirect |
| 36. C3⋊D3×D12 | C22 | semidirect |
| 37. C4×D3×C3⋊D3 | C22 | semidirect |
| 38. #89020 | C22 | semidirect |
| 39. #89018 | C22 | semidirect |
| 40. C3⋊D3×Dic6 | C22 | semidirect |
| 41. #89015 | C22 | semidirect |
| 42. #89014 | C22 | semidirect |
| 43. #89014 | C22 | semidirect |
| 44. C3×D3×#67 | C22 | semidirect |
| 45. C2×C3×#625 | C22 | semidirect |
| 46. C3×#3802 | C22 | semidirect |
| 47. C3×#3802 | C22 | semidirect |
| 48. C3×#3802 | C22 | semidirect |
| 49. C3×#3802 | C22 | semidirect |
| 50. C3×#3802 | C22 | semidirect |
| 51. C3×D3×D12 | C22 | semidirect |
| 52. C3×#3796 | C22 | semidirect |
| 53. C3×#3795 | C22 | semidirect |
| 54. #88963 | C22 | semidirect |
| 55. #88961 | C22 | semidirect |
| 56. #88959 | C22 | semidirect |
| 57. #88954 | C22 | semidirect |
| 58. #88953 | C22 | semidirect |
| 59. #88952 | C22 | semidirect |
| 60. #88952 | C22 | semidirect |
| 61. D3×#626 | C22 | semidirect |
| 62. D3×#625 | C22 | semidirect |
| 63. D3×#625 | C22 | semidirect |
| 64. D32×Dic3 | C22 | semidirect |
| 90. #64307 | D3 | semidirect |
| 97. C2×#3802 | D3 | semidirect |
| 99. C22×C32×D3 | C23 | semidirect |
| 102. C2×D3×C3⋊D3 | C23 | semidirect |
| 105. C2×C3×D32 | C23 | semidirect |
| 106. C2×C3×D32 | C23 | semidirect |
| 108. C2×C33×C4 | C23 | semidirect |
| 109. #6312 | C23 | semidirect |
| 110. C4⋊(C3⋊(C3⋊D3)) | C23 | semidirect |
| 111. C4×C3⋊(C3⋊D3) | C23 | semidirect |
| 112. #6308 | C23 | semidirect |
| 113. C3×#638 | C23 | semidirect |
| 114. C2×C3×C3⋊Dic3 | C23 | semidirect |
| 115. C3×C4⋊(C3⋊D3) | C23 | semidirect |
| 118. C3×C4×C3⋊D3 | C23 | semidirect |
| 119. C3×C4×C3⋊D3 | C23 | semidirect |
| 120. C3×C4×C3⋊D3 | C23 | semidirect |
| 121. C3×#634 | C23 | semidirect |
| 122. C32×#67 | C23 | semidirect |
| 123. C32×D12 | C23 | semidirect |
| 124. C32×D12 | C23 | semidirect |
| 125. C32×D12 | C23 | semidirect |
| 126. C32×C4×D3 | C23 | semidirect |
| 127. C32×Dic6 | C23 | semidirect |
| 128. #6296 | C23 | semidirect |
| 129. #6295 | C23 | semidirect |
| 130. #6295 | C23 | semidirect |
| 132. #6294 | C23 | semidirect |
| 133. #6293 | C23 | semidirect |
| 134. #6292 | C23 | semidirect |
| 135. #6291 | C23 | semidirect |
| 136. #6291 | C23 | semidirect |
| 137. #6290 | C23 | semidirect |
| 138. #6290 | C23 | semidirect |
| 139. #6289 | C23 | semidirect |
| 141. D3×C3⋊Dic3 | C23 | semidirect |
| 142. D3×C3⋊Dic3 | C23 | semidirect |
| 143. C3×#626 | C23 | semidirect |
| 144. C3×#625 | C23 | semidirect |
| 145. C3×#625 | C23 | semidirect |
| 146. C3×#625 | C23 | semidirect |
| 147. C3×D3×Dic3 | C23 | semidirect |
| 153. C22×D32 | C2×D3 | semidirect |
| 173. #3828 | C2×D3 | semidirect |
| 175. C2×C4×C3⋊D3 | C2×D3 | semidirect |
| 194. C3×#235 | C2×D3 | semidirect |
| 197. C2×C3×D12 | C2×D3 | semidirect |
| 198. C2×C3×D12 | C2×D3 | semidirect |
| 219. D3×#67 | C2×D3 | semidirect |
| 223. C2×#625 | C2×D3 | semidirect |
| 240. #3802 | C2×D3 | semidirect |
| 241. #3802 | C2×D3 | semidirect |
| 242. #3802 | C2×D3 | semidirect |
| 243. #3802 | C2×D3 | semidirect |
| 244. #3802 | C2×D3 | semidirect |
| 252. D3×D12 | C2×D3 | semidirect |
| 271. #3796 | C2×D3 | semidirect |
| 279. #3795 | C2×D3 | semidirect |
| 350. C22×C3×D3 | C22×D3 | semidirect |
| 351. C22×C3×D3 | C22×D3 | semidirect |
| 363. C2×D32 | C22×D3 | semidirect |
| 364. C2×D32 | C22×D3 | semidirect |
| 374. C2×C32×C4 | C22×D3 | semidirect |
| 375. C2×C32×C4 | C22×D3 | semidirect |
| 385. #638 | C22×D3 | semidirect |
| 388. C2×C3⋊Dic3 | C22×D3 | semidirect |
| 395. C4⋊(C3⋊D3) | C22×D3 | semidirect |
| 405. C4×C3⋊D3 | C22×D3 | semidirect |
| 406. C4×C3⋊D3 | C22×D3 | semidirect |
| 407. C4×C3⋊D3 | C22×D3 | semidirect |
| 414. #634 | C22×D3 | semidirect |
| 424. C3×#67 | C22×D3 | semidirect |
| 435. C3×D12 | C22×D3 | semidirect |
| 436. C3×D12 | C22×D3 | semidirect |
| 437. C3×D12 | C22×D3 | semidirect |
| 438. C3×D12 | C22×D3 | semidirect |
| 439. C3×D12 | C22×D3 | semidirect |
| 453. C3×C4×D3 | C22×D3 | semidirect |
| 458. C3×Dic6 | C22×D3 | semidirect |
| 473. #626 | C22×D3 | semidirect |
| 481. #625 | C22×D3 | semidirect |
| 482. #625 | C22×D3 | semidirect |
| 483. #625 | C22×D3 | semidirect |
| 498. D3×Dic3 | C22×D3 | semidirect |
| 505. C3×C3⋊D3 | H(5,𝔽2) | semidirect |
| 624. #235 | D32 | semidirect |
| 630. C2×D12 | D32 | semidirect |
| 733. C33 | C2×H(5,𝔽2) | semidirect |
| 760. C22×D3 | C2×D32 | semidirect |
| 792. C2×C3×C4 | C2×D32 | semidirect |
| 793. C2×C3×C4 | C2×D32 | semidirect |
| 823. #67 | C2×D32 | semidirect |
| 850. D12 | C2×D32 | semidirect |
| 851. D12 | C2×D32 | semidirect |
| 852. D12 | C2×D32 | semidirect |
| 880. C4×D3 | C2×D32 | semidirect |
| 894. Dic6 | C2×D32 | semidirect |
| 914. C3⋊D3 | #1004 | semidirect |
| 1056. C32 | C2×#1004 | semidirect |
| 1057. C32 | D3×H(5,𝔽2) | semidirect |
| 1107. C2×C4 | D33 | semidirect |
| 1165. C3 | D3×#1004 | semidirect |
| 1166. C3 | #10596692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11724618 | 2 |
| #11724579 | 2 |
| C3⋊D3×#235 | 2 |
| C3×#64307 | 2 |
| C2×C3×#3802 | 2 |
| D32×#67 | 2 |
| #11724414 | 2 |
| #11724403 | 2 |
| D3×#3802 | 2 |
| #11724386 | 2 |
| #11724382 | 2 |
| #11724381 | 2 |
| #11724374 | 2 |
| #11724373 | 2 |
| #10596692 | 3 |
| D3×#1004 | 3 |