Finite Group DatabasebetaFinite Group DatabasebetaOrder 1728.
1498 conjugacy classes of subgroups.
The subgroup lattice has 1112 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11724578 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#89017 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #11723661 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #11723358 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#63833 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#63827 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#63825 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #11722894 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #11722878 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #11722863 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #11722862 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #10595471 | — | 3 | 1 | no | maximal |
| 13 | #10595323 | — | 3 | 1 | no | maximal |
| 14 | #10594718 | — | 3 | 1 | no | maximal |
| 15 | C2×C4×C3⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic |
| 16 | C3×#3828 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×C4⋊(C3⋊D3) | C22 | 1 | 1 | yes | characteristic, complemented |
| 18 | C32×#235 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C32×Dic6 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #89039 | — | 2 | 1 | no | — |
| 21 | C2×#6292 | — | 2 | 1 | no | — |
| 22 | C2×Dic3×C3⋊D3 | — | 2 | 1 | no | — |
| 23 | #89029 | — | 2 | 1 | no | — |
| 24 | #89026 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C4×D3×C3⋊D3 | — | 2 | 1 | no | — |
| 26 | #89020 | — | 2 | 1 | no | — |
| 27 | #89019 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #89017 | — | 2 | 1 | no | — |
| 29 | #89017 | — | 2 | 1 | no | — |
| 30 | #89017 | C22 | 1 | 2 | yes | — |
| 31 | #89017 | C22 | 1 | 2 | yes | complemented |
| 32 | #89017 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #89015 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C3×#3748 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | C32×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #88811 | C22 | 1 | 2 | yes | complemented |
| 37 | #88810 | C22 | 1 | 2 | yes | complemented |
| 38 | #88788 | C22 | 1 | 2 | yes | complemented |
| 39 | #88785 | C22 | 1 | 2 | yes | complemented |
| 40 | C3×#3719 | C22 | 1 | 2 | yes | complemented |
| 41 | C3×#3718 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×#3717 | C22 | 1 | 2 | yes | complemented |
| 43 | C3×#3717 | C22 | 1 | 2 | yes | complemented |
| 44 | C3×#3715 | C22 | 1 | 2 | yes | complemented |
| 45 | C3×#3714 | C22 | 1 | 2 | yes | complemented |
| 46 | #41×C3⋊D3 | — | 3 | 1 | no | — |
| 47 | C2×#3832 | — | 3 | 1 | no | — |
| 48 | #64306 | — | 3 | 1 | no | — |
| 49 | #64306 | — | 3 | 1 | no | — |
| 50 | #64306 | — | 6 | 1 | no | — |
| 51 | C2×#3796 | — | 3 | 1 | no | — |
| 52 | C2×#3796 | — | 3 | 1 | no | — |
| 53 | C2×#3796 | — | 6 | 1 | no | — |
| 54 | M16×C3⋊D3 | — | 3 | 1 | no | — |
| 55 | C3×#951 | — | 3 | 1 | no | — |
| 56 | C3×#949 | — | 3 | 1 | no | — |
| 57 | C3×#942 | — | 3 | 1 | no | — |
| 58 | C3×#942 | — | 3 | 1 | no | — |
| 59 | C3×#909 | — | 3 | 1 | no | — |
| 60 | C3×#908 | — | 3 | 1 | no | — |
| 61 | #63951 | — | 3 | 2 | no | — |
| 62 | #63950 | — | 3 | 2 | no | — |
| 63 | #63950 | — | 3 | 2 | no | — |
| 64 | #63950 | — | 3 | 2 | no | — |
| 65 | #63945 | — | 3 | 2 | no | — |
| 66 | #63941 | — | 3 | 2 | no | — |
| 67 | #63937 | — | 3 | 2 | no | — |
| 68 | #63936 | — | 3 | 2 | no | — |
| 69 | #63833 | D3 | 1 | 1 | yes | characteristic, complemented |
| 70 | #63830 | — | 3 | 1 | no | — |
| 71 | #63827 | D3 | 1 | 1 | yes | characteristic, complemented |
| 72 | #63825 | — | 3 | 1 | no | — |
| 73 | #63825 | D3 | 1 | 1 | yes | characteristic, complemented |
| 74 | #63823 | — | 3 | 1 | no | — |
| 75 | #63818 | — | 3 | 1 | no | — |
| 76 | #63818 | — | 3 | 1 | no | — |
| 77 | #63818 | — | 6 | 1 | no | — |
| 78 | #63811 | — | 3 | 2 | no | — |
| 79 | #63810 | — | 3 | 2 | no | — |
| 80 | #63809 | — | 3 | 2 | no | — |
| 81 | #63798 | — | 3 | 2 | no | — |
| 82 | C22×C3⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 83 | C22×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 84 | C2×D3×C3⋊D3 | — | 2 | 1 | no | — |
| 85 | C2×C33×C4 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×C3⋊(C3⋊Dic3) | D4 | 1 | 1 | yes | characteristic |
| 87 | C4×C3⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 88 | C4×C3⋊(C3⋊D3) | D4 | 1 | 1 | yes | characteristic |
| 89 | C4×C3⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 90 | C4×C3⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 91 | C3×#638 | — | 2 | 1 | no | — |
| 92 | C3×C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 93 | C3×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 94 | C3×C4⋊(C3⋊D3) | C23 | 1 | 1 | yes | characteristic |
| 95 | C3×C4×C3⋊D3 | — | 2 | 1 | no | — |
| 96 | C3×#634 | C23 | 1 | 1 | yes | characteristic |
| 97 | C32×#67 | — | 2 | 1 | no | — |
| 98 | C2×C32×Dic3 | — | 2 | 1 | no | — |
| 99 | C32×D12 | C23 | 1 | 1 | yes | characteristic |
| 100 | C32×C4×D3 | — | 2 | 1 | no | — |
| 101 | C32×Dic6 | — | 2 | 1 | no | — |
| 102 | C32×Dic6 | C23 | 1 | 2 | yes | — |
| 103 | C32×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 104 | #6293 | — | 2 | 1 | no | — |
| 105 | #6292 | — | 2 | 2 | no | — |
| 106 | #6292 | — | 2 | 2 | no | — |
| 107 | #6292 | — | 2 | 1 | no | — |
| 108 | #6291 | — | 2 | 1 | no | — |
| 109 | #6290 | — | 2 | 1 | no | — |
| 110 | #6289 | — | 2 | 1 | no | — |
| 111 | Dic3×C3⋊D3 | — | 2 | 2 | no | — |
| 112 | Dic3×C3⋊D3 | — | 2 | 2 | no | — |
| 113 | Dic3×C3⋊D3 | — | 2 | 1 | no | — |
| 114 | D3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 115 | C3×C3⋊(C3⋊C8) | C23 | 1 | 2 | yes | — |
| 116 | C32×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 117 | #5777 | — | 9 | 1 | no | — |
| 118 | #5777 | — | 9 | 1 | no | — |
| 119 | #5773 | — | 9 | 1 | no | — |
| 120 | C32×#41 | — | 3 | 1 | no | — |
| 121 | C2×C32×Q8 | — | 3 | 1 | no | — |
| 122 | #3832 | — | 3 | 2 | no | — |
| 123 | #3832 | — | 3 | 2 | no | — |
| 124 | #3832 | — | 3 | 1 | no | — |
| 125 | #3832 | — | 6 | 1 | no | — |
| 126 | #3832 | — | 6 | 1 | no | — |
| 127 | Q8×C3⋊D3 | — | 3 | 1 | no | — |
| 128 | #3830 | — | 3 | 1 | no | — |
| 129 | #3830 | — | 6 | 1 | no | — |
| 130 | D4×C3⋊D3 | — | 3 | 1 | no | — |
| 131 | D4×C3⋊D3 | — | 6 | 1 | no | — |
| 132 | #3828 | — | 6 | 1 | no | — |
| 133 | #3828 | C2×D3 | 1 | 1 | yes | characteristic |
| 134 | C2×C4⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 135 | C2×C4⋊(C3⋊D3) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 136 | C2×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 137 | C2×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 138 | C2×C4×C3⋊D3 | — | 3 | 1 | no | — |
| 139 | C2×C4×C3⋊D3 | — | 6 | 1 | no | — |
| 140 | C2×C4×C3⋊D3 | — | 6 | 1 | no | — |
| 141 | C2×C4×C3⋊D3 | — | 6 | 1 | no | — |
| 142 | C2×C4×C3⋊D3 | — | 6 | 1 | no | — |
| 143 | C2×C4×C3⋊D3 | — | 6 | 1 | no | — |
| 144 | C2×C4×C3⋊D3 | — | 12 | 1 | no | — |
| 145 | C3×#235 | — | 2 | 1 | no | — |
| 146 | C3×#235 | — | 3 | 1 | no | — |
| 147 | C3×#235 | — | 3 | 1 | no | — |
| 148 | C3×#235 | — | 6 | 1 | no | — |
| 149 | C3×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 150 | C3×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 151 | C2×C3×D12 | — | 3 | 1 | no | — |
| 152 | C2×C3×D12 | — | 3 | 1 | no | — |
| 153 | C2×C3×D12 | — | 6 | 1 | no | — |
| 154 | C2×C3×Dic6 | — | 2 | 1 | no | — |
| 155 | C2×C3×Dic6 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 156 | C2×C3×Dic6 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 157 | #3811 | — | 6 | 1 | no | — |
| 158 | #3811 | — | 6 | 1 | no | — |
| 159 | #3811 | — | 6 | 2 | no | — |
| 160 | C2×#626 | — | 6 | 1 | no | — |
| 161 | C2×#626 | — | 6 | 1 | no | — |
| 162 | C2×#626 | — | 6 | 2 | no | — |
| 163 | #3805 | — | 6 | 1 | no | — |
| 164 | #3805 | — | 6 | 1 | no | — |
| 165 | #3805 | — | 6 | 2 | no | — |
| 166 | C2×D3×Dic3 | — | 6 | 1 | no | — |
| 167 | C2×D3×Dic3 | — | 6 | 1 | no | — |
| 168 | C2×D3×Dic3 | — | 6 | 2 | no | — |
| 169 | #3802 | — | 3 | 1 | no | — |
| 170 | #3802 | — | 3 | 1 | no | — |
| 171 | #3802 | — | 6 | 1 | no | — |
| 172 | C4×D32 | — | 6 | 1 | no | — |
| 173 | C4×D32 | — | 6 | 1 | no | — |
| 174 | C4×D32 | — | 6 | 2 | no | — |
| 175 | #3798 | — | 6 | 1 | no | — |
| 176 | #3798 | — | 6 | 1 | no | — |
| 177 | #3798 | — | 6 | 2 | no | — |
| 178 | #3797 | — | 3 | 1 | no | — |
| 179 | #3797 | — | 3 | 1 | no | — |
| 180 | #3797 | — | 6 | 1 | no | — |
| 181 | #3796 | — | 3 | 1 | no | — |
| 182 | #3796 | — | 3 | 1 | no | — |
| 183 | #3796 | — | 3 | 2 | no | — |
| 184 | #3796 | — | 3 | 2 | no | — |
| 185 | #3796 | — | 3 | 2 | no | — |
| 186 | #3796 | — | 3 | 2 | no | — |
| 187 | #3796 | — | 3 | 1 | no | — |
| 188 | #3796 | — | 3 | 1 | no | — |
| 189 | #3796 | — | 6 | 1 | no | — |
| 190 | #3796 | — | 6 | 1 | no | — |
| 191 | #3796 | — | 6 | 1 | no | — |
| 192 | #3796 | — | 6 | 1 | no | — |
| 193 | #3796 | — | 6 | 2 | no | — |
| 194 | #3796 | — | 6 | 2 | no | — |
| 195 | #3796 | — | 6 | 1 | no | — |
| 196 | #3796 | — | 6 | 2 | no | — |
| 197 | #3796 | — | 6 | 2 | no | — |
| 198 | #3796 | — | 6 | 1 | no | — |
| 199 | C32×M16 | — | 3 | 1 | no | — |
| 200 | #3748 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 201 | #3743 | — | 3 | 2 | no | — |
| 202 | C8×C3⋊D3 | — | 3 | 2 | no | — |
| 203 | C3×#216 | — | 3 | 2 | no | — |
| 204 | C3×#216 | — | 3 | 2 | no | — |
| 205 | C3×#216 | — | 3 | 2 | no | — |
| 206 | C3×#215 | — | 3 | 2 | no | — |
| 207 | C3×#215 | — | 3 | 2 | no | — |
| 208 | C3×#215 | — | 3 | 2 | no | — |
| 209 | C3×#214 | — | 3 | 2 | no | — |
| 210 | C3×#213 | — | 3 | 2 | no | — |
| 211 | C3×#208 | — | 2 | 1 | no | — |
| 212 | C3×#208 | — | 3 | 1 | no | — |
| 213 | C3×#208 | — | 3 | 1 | no | — |
| 214 | C3×#208 | — | 6 | 1 | no | — |
| 215 | C3×#208 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 216 | C3×#208 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 217 | C3×Dic12 | — | 3 | 2 | no | — |
| 218 | C3×D24 | — | 3 | 2 | no | — |
| 219 | C3×#204 | — | 3 | 2 | no | — |
| 220 | C3×#204 | — | 3 | 2 | no | — |
| 221 | #3719 | C2×D3 | 1 | 2 | yes | complemented |
| 222 | #3718 | C2×D3 | 1 | 2 | yes | complemented |
| 223 | #3717 | — | 3 | 2 | no | — |
| 224 | #3717 | C2×D3 | 1 | 2 | yes | complemented |
| 225 | #3717 | C2×D3 | 1 | 2 | yes | complemented |
| 226 | #3716 | — | 3 | 2 | no | — |
| 227 | #3715 | — | 3 | 2 | no | — |
| 228 | #3715 | C2×D3 | 1 | 2 | yes | complemented |
| 229 | #3714 | — | 3 | 2 | no | — |
| 230 | #3714 | — | 3 | 2 | no | — |
| 231 | #3714 | C2×D3 | 1 | 2 | yes | complemented |
| 232 | #3713 | — | 3 | 2 | no | — |
| 233 | #3712 | — | 3 | 2 | no | — |
| 234 | #3712 | — | 3 | 2 | no | — |
| 235 | #3712 | — | 6 | 2 | no | — |
| 236 | #3710 | — | 3 | 2 | no | — |
| 237 | #3710 | — | 3 | 2 | no | — |
| 238 | #3710 | — | 6 | 2 | no | — |
| 239 | C22×C33 | C2×D4 | 1 | 1 | yes | characteristic |
| 240 | C2×C3⋊(C3⋊D3) | — | 4 | 1 | no | — |
| 241 | C2×C3⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 242 | C2×C3⋊(C3⋊D3) | C2×D4 | 1 | 1 | yes | characteristic |
| 243 | C2×C3×C3⋊D3 | — | 2 | 2 | no | — |
| 244 | C2×C3×C3⋊D3 | — | 2 | 1 | no | — |
| 245 | C2×C3×C3⋊D3 | — | 4 | 2 | no | — |
| 246 | C2×C32×D3 | — | 2 | 1 | no | — |
| 247 | D3×C3⋊D3 | — | 4 | 2 | no | — |
| 248 | C33×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C33×C4 | C24 | 1 | 1 | yes | characteristic |
| 250 | C3⋊(C3⋊Dic3) | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C3⋊(C3⋊Dic3) | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C3×C3⋊Dic3 | — | 2 | 1 | no | — |
| 253 | C32×Dic3 | — | 2 | 2 | no | — |
| 254 | C32×Dic3 | — | 2 | 1 | no | — |
| 255 | D3×#41 | — | 9 | 1 | no | — |
| 256 | D3×#41 | — | 9 | 1 | no | — |
| 257 | D3×#41 | — | 9 | 1 | no | — |
| 258 | D3×#41 | — | 18 | 1 | no | — |
| 259 | C2×#239 | — | 9 | 1 | no | — |
| 260 | C2×#239 | — | 9 | 1 | no | — |
| 261 | C2×#239 | — | 18 | 1 | no | — |
| 262 | C2×#237 | — | 9 | 1 | no | — |
| 263 | C3×#137 | — | 9 | 1 | no | — |
| 264 | C3×#137 | — | 9 | 1 | no | — |
| 265 | C3×AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 266 | #951 | — | 3 | 1 | no | — |
| 267 | #949 | — | 3 | 1 | no | — |
| 268 | #949 | — | 9 | 1 | no | — |
| 269 | #942 | — | 3 | 1 | no | — |
| 270 | #942 | — | 3 | 1 | no | — |
| 271 | #932 | — | 9 | 1 | no | — |
| 272 | #919 | — | 9 | 2 | no | — |
| 273 | #919 | — | 9 | 2 | no | — |
| 274 | #918 | — | 9 | 2 | no | — |
| 275 | #918 | — | 9 | 2 | no | — |
| 276 | #916 | — | 9 | 2 | no | — |
| 277 | #916 | — | 9 | 2 | no | — |
| 278 | #916 | — | 9 | 2 | no | — |
| 279 | #915 | — | 9 | 2 | no | — |
| 280 | #914 | — | 9 | 2 | no | — |
| 281 | #914 | — | 9 | 2 | no | — |
| 282 | #912 | — | 9 | 2 | no | — |
| 283 | #911 | — | 9 | 2 | no | — |
| 284 | #909 | — | 3 | 1 | no | — |
| 285 | #908 | — | 3 | 1 | no | — |
| 286 | #908 | — | 9 | 1 | no | — |
| 287 | D3×M16 | — | 9 | 1 | no | — |
| 288 | D3×M16 | — | 9 | 1 | no | — |
| 289 | D3×M16 | — | 9 | 1 | no | — |
| 290 | D3×M16 | — | 18 | 1 | no | — |
| 291 | C22×C3⋊D3 | — | 2 | 1 | no | — |
| 292 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 293 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 294 | C22×C3⋊D3 | — | 3 | 1 | no | — |
| 295 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 296 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 297 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 298 | C22×C3⋊D3 | — | 6 | 1 | no | — |
| 299 | C22×C3⋊D3 | — | 12 | 1 | no | — |
| 300 | C22×C3×D3 | — | 6 | 2 | no | — |
| 301 | C22×C3×D3 | — | 6 | 1 | no | — |
| 302 | C22×C3×D3 | — | 6 | 1 | no | — |
| 303 | C2×D32 | — | 6 | 1 | no | — |
| 304 | C2×D32 | — | 6 | 1 | no | — |
| 305 | C2×D32 | — | 6 | 2 | no | — |
| 306 | C32×Q8 | — | 3 | 1 | no | — |
| 307 | C32×Q8 | — | 3 | 2 | no | — |
| 308 | C32×Q8 | — | 6 | 1 | no | — |
| 309 | C32×D4 | — | 3 | 1 | no | — |
| 310 | C32×D4 | — | 6 | 1 | no | — |
| 311 | C2×C32×C4 | — | 2 | 1 | no | — |
| 312 | C2×C32×C4 | — | 2 | 1 | no | — |
| 313 | C2×C32×C4 | — | 2 | 1 | no | — |
| 314 | C2×C32×C4 | — | 4 | 1 | no | — |
| 315 | C2×C32×C4 | — | 6 | 1 | no | — |
| 316 | C2×C32×C4 | — | 6 | 1 | no | — |
| 317 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 318 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 319 | C2×C32×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 320 | #638 | — | 2 | 1 | no | — |
| 321 | #638 | — | 6 | 1 | no | — |
| 322 | #638 | — | 6 | 1 | no | — |
| 323 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 324 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 325 | C2×C3⋊Dic3 | — | 3 | 1 | no | — |
| 326 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 327 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 328 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 329 | C2×C3⋊Dic3 | — | 6 | 1 | no | — |
| 330 | C2×C3⋊Dic3 | — | 12 | 1 | no | — |
| 331 | C4⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 332 | C4⋊(C3⋊D3) | — | 6 | 2 | no | — |
| 333 | C4⋊(C3⋊D3) | — | 6 | 2 | no | — |
| 334 | C4⋊(C3⋊D3) | — | 6 | 1 | no | — |
| 335 | C4⋊(C3⋊D3) | C22×D3 | 1 | 1 | yes | characteristic |
| 336 | C4⋊(C3⋊D3) | C22×D3 | 1 | 2 | yes | — |
| 337 | C4×C3⋊D3 | — | 2 | 1 | no | — |
| 338 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 339 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 340 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 341 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 342 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 343 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 344 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 345 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 346 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 347 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 348 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 349 | C4×C3⋊D3 | — | 3 | 1 | no | — |
| 350 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 351 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 352 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 353 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 354 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 355 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 356 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 357 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 358 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 359 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 360 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 361 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 362 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 363 | C4×C3⋊D3 | — | 6 | 1 | no | — |
| 364 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 365 | C4×C3⋊D3 | — | 6 | 2 | no | — |
| 366 | C4×C3⋊D3 | — | 12 | 1 | no | — |
| 367 | C4×C3⋊D3 | — | 12 | 1 | no | — |
| 368 | C4×C3⋊D3 | — | 12 | 1 | no | — |
| 369 | C4×C3⋊D3 | — | 12 | 1 | no | — |
| 370 | #634 | — | 6 | 1 | no | — |
| 371 | #634 | C22×D3 | 1 | 1 | yes | characteristic |
| 372 | C3×#67 | — | 2 | 2 | no | — |
| 373 | C3×#67 | — | 2 | 1 | no | — |
| 374 | C3×#67 | — | 2 | 1 | no | — |
| 375 | C3×#67 | — | 6 | 2 | no | — |
| 376 | C3×#67 | — | 6 | 1 | no | — |
| 377 | C3×#67 | — | 6 | 1 | no | — |
| 378 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 379 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 380 | C2×C3×Dic3 | — | 2 | 1 | no | — |
| 381 | C3×D12 | — | 2 | 1 | no | — |
| 382 | C3×D12 | — | 3 | 1 | no | — |
| 383 | C3×D12 | — | 3 | 2 | no | — |
| 384 | C3×D12 | — | 3 | 1 | no | — |
| 385 | C3×D12 | — | 3 | 2 | no | — |
| 386 | C3×D12 | — | 6 | 2 | no | — |
| 387 | C3×D12 | — | 6 | 1 | no | — |
| 388 | C3×D12 | — | 6 | 2 | no | — |
| 389 | C3×D12 | — | 6 | 1 | no | — |
| 390 | C3×D12 | — | 6 | 1 | no | — |
| 391 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 392 | C3×D12 | C22×D3 | 1 | 1 | yes | characteristic |
| 393 | C3×C4×D3 | — | 2 | 2 | no | — |
| 394 | C3×C4×D3 | — | 2 | 1 | no | — |
| 395 | C3×C4×D3 | — | 2 | 1 | no | — |
| 396 | C3×C4×D3 | — | 6 | 2 | no | — |
| 397 | C3×C4×D3 | — | 6 | 1 | no | — |
| 398 | C3×C4×D3 | — | 6 | 1 | no | — |
| 399 | C3×Dic6 | — | 2 | 2 | no | — |
| 400 | C3×Dic6 | — | 2 | 1 | no | — |
| 401 | C3×Dic6 | — | 2 | 1 | no | — |
| 402 | C3×Dic6 | — | 2 | 2 | no | — |
| 403 | C3×Dic6 | — | 2 | 1 | no | — |
| 404 | C3×Dic6 | — | 3 | 1 | no | — |
| 405 | C3×Dic6 | — | 3 | 1 | no | — |
| 406 | C3×Dic6 | — | 6 | 1 | no | — |
| 407 | C3×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 408 | C3×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 409 | C3×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 410 | C3×Dic6 | C22×D3 | 1 | 1 | yes | characteristic |
| 411 | #627 | — | 6 | 1 | no | — |
| 412 | #627 | — | 6 | 1 | no | — |
| 413 | #627 | — | 6 | 2 | no | — |
| 414 | #626 | — | 6 | 2 | no | — |
| 415 | #626 | — | 6 | 2 | no | — |
| 416 | #626 | — | 6 | 2 | no | — |
| 417 | #626 | — | 6 | 2 | no | — |
| 418 | #626 | — | 6 | 1 | no | — |
| 419 | #626 | — | 6 | 1 | no | — |
| 420 | #626 | — | 6 | 4 | no | — |
| 421 | #626 | — | 6 | 4 | no | — |
| 422 | #626 | — | 6 | 2 | no | — |
| 423 | #626 | — | 6 | 1 | no | — |
| 424 | #626 | — | 6 | 1 | no | — |
| 425 | #626 | — | 6 | 2 | no | — |
| 426 | #625 | — | 6 | 1 | no | — |
| 427 | #625 | — | 6 | 1 | no | — |
| 428 | #625 | — | 6 | 2 | no | — |
| 429 | #624 | — | 6 | 1 | no | — |
| 430 | #624 | — | 6 | 1 | no | — |
| 431 | #624 | — | 6 | 2 | no | — |
| 432 | D3×Dic3 | — | 6 | 2 | no | — |
| 433 | D3×Dic3 | — | 6 | 2 | no | — |
| 434 | D3×Dic3 | — | 6 | 2 | no | — |
| 435 | D3×Dic3 | — | 6 | 2 | no | — |
| 436 | D3×Dic3 | — | 6 | 1 | no | — |
| 437 | D3×Dic3 | — | 6 | 1 | no | — |
| 438 | D3×Dic3 | — | 6 | 4 | no | — |
| 439 | D3×Dic3 | — | 6 | 4 | no | — |
| 440 | D3×Dic3 | — | 6 | 2 | no | — |
| 441 | D3×Dic3 | — | 6 | 1 | no | — |
| 442 | D3×Dic3 | — | 6 | 1 | no | — |
| 443 | D3×Dic3 | — | 6 | 2 | no | — |
| 444 | C32×C8 | — | 3 | 2 | no | — |
| 445 | C3⋊(C3⋊C8) | C22×D3 | 1 | 2 | yes | — |
| 446 | C3×C3⋊C8 | — | 2 | 2 | no | — |
| 447 | C3×C3⋊C8 | — | 3 | 2 | no | — |
| 448 | C3×C3⋊C8 | — | 3 | 2 | no | — |
| 449 | C3×C3⋊C8 | — | 6 | 2 | no | — |
| 450 | C3×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 451 | C3×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 452 | #575 | — | 27 | 1 | no | Sylow |
| 453 | C2×C33 | — | 2 | 1 | no | — |
| 454 | C2×C33 | C22×D4 | 1 | 1 | yes | characteristic |
| 455 | C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 456 | C3⋊(C3⋊D3) | — | 2 | 1 | no | — |
| 457 | C3×C3⋊D3 | — | 4 | 1 | no | — |
| 458 | C3×C3⋊D3 | — | 4 | 2 | no | — |
| 459 | C32×D3 | — | 4 | 1 | no | — |
| 460 | C3×#41 | — | 3 | 1 | no | — |
| 461 | C3×#41 | — | 3 | 1 | no | — |
| 462 | C3×#41 | — | 6 | 1 | no | — |
| 463 | C3×#41 | — | 9 | 1 | no | — |
| 464 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 465 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 466 | C2×C3×Q8 | — | 6 | 1 | no | — |
| 467 | C2×C3×D4 | — | 9 | 1 | no | — |
| 468 | C2×#67 | — | 18 | 1 | no | — |
| 469 | C22×Dic3 | — | 18 | 1 | no | — |
| 470 | #239 | — | 9 | 2 | no | — |
| 471 | #239 | — | 9 | 2 | no | — |
| 472 | #239 | — | 9 | 1 | no | — |
| 473 | #239 | — | 9 | 2 | no | — |
| 474 | #239 | — | 9 | 2 | no | — |
| 475 | #239 | — | 9 | 1 | no | — |
| 476 | #239 | — | 9 | 1 | no | — |
| 477 | #239 | — | 18 | 2 | no | — |
| 478 | #239 | — | 18 | 2 | no | — |
| 479 | #239 | — | 18 | 1 | no | — |
| 480 | #239 | — | 18 | 1 | no | — |
| 481 | #239 | — | 18 | 1 | no | — |
| 482 | #239 | — | 18 | 1 | no | — |
| 483 | #239 | — | 18 | 1 | no | — |
| 484 | #239 | — | 18 | 2 | no | — |
| 485 | #239 | — | 18 | 2 | no | — |
| 486 | D3×Q8 | — | 9 | 1 | no | — |
| 487 | D3×Q8 | — | 9 | 1 | no | — |
| 488 | D3×Q8 | — | 9 | 1 | no | — |
| 489 | D3×Q8 | — | 18 | 1 | no | — |
| 490 | #237 | — | 9 | 1 | no | — |
| 491 | #237 | — | 9 | 1 | no | — |
| 492 | #237 | — | 9 | 2 | no | — |
| 493 | #237 | — | 9 | 2 | no | — |
| 494 | #237 | — | 9 | 1 | no | — |
| 495 | #237 | — | 18 | 1 | no | — |
| 496 | #237 | — | 18 | 1 | no | — |
| 497 | #237 | — | 18 | 1 | no | — |
| 498 | #237 | — | 18 | 1 | no | — |
| 499 | #237 | — | 18 | 1 | no | — |
| 500 | #237 | — | 18 | 1 | no | — |
| 501 | #237 | — | 18 | 2 | no | — |
| 502 | D3×D4 | — | 9 | 1 | no | — |
| 503 | D3×D4 | — | 9 | 1 | no | — |
| 504 | D3×D4 | — | 9 | 1 | no | — |
| 505 | D3×D4 | — | 18 | 1 | no | — |
| 506 | D3×D4 | — | 18 | 1 | no | — |
| 507 | D3×D4 | — | 18 | 1 | no | — |
| 508 | D3×D4 | — | 18 | 1 | no | — |
| 509 | D3×D4 | — | 18 | 2 | no | — |
| 510 | #235 | — | 3 | 1 | no | — |
| 511 | #235 | — | 3 | 1 | no | — |
| 512 | #235 | — | 6 | 1 | no | — |
| 513 | #235 | — | 18 | 1 | no | — |
| 514 | #235 | — | 18 | 1 | no | — |
| 515 | #235 | — | 18 | 1 | no | — |
| 516 | #235 | — | 18 | 2 | no | — |
| 517 | #235 | D32 | 1 | 1 | yes | characteristic |
| 518 | C2×D12 | — | 3 | 1 | no | — |
| 519 | C2×D12 | — | 3 | 1 | no | — |
| 520 | C2×D12 | — | 6 | 1 | no | — |
| 521 | C2×D12 | — | 18 | 1 | no | — |
| 522 | C2×D12 | — | 18 | 1 | no | — |
| 523 | C2×D12 | — | 18 | 2 | no | — |
| 524 | C2×C4×D3 | — | 9 | 1 | no | — |
| 525 | C2×C4×D3 | — | 9 | 1 | no | — |
| 526 | C2×C4×D3 | — | 9 | 1 | no | — |
| 527 | C2×C4×D3 | — | 18 | 1 | no | — |
| 528 | C2×C4×D3 | — | 18 | 1 | no | — |
| 529 | C2×C4×D3 | — | 18 | 1 | no | — |
| 530 | C2×C4×D3 | — | 18 | 1 | no | — |
| 531 | C2×C4×D3 | — | 18 | 1 | no | — |
| 532 | C2×C4×D3 | — | 18 | 1 | no | — |
| 533 | C2×C4×D3 | — | 18 | 2 | no | — |
| 534 | C2×C4×D3 | — | 18 | 1 | no | — |
| 535 | C2×C4×D3 | — | 18 | 1 | no | — |
| 536 | C2×C4×D3 | — | 18 | 2 | no | — |
| 537 | C2×C4×D3 | — | 36 | 1 | no | — |
| 538 | C2×Dic6 | D32 | 1 | 1 | yes | characteristic, complemented |
| 539 | C3×Q16 | — | 9 | 2 | no | — |
| 540 | C3×Q16 | — | 9 | 2 | no | — |
| 541 | C3×SD16 | — | 9 | 2 | no | — |
| 542 | C3×SD16 | — | 9 | 2 | no | — |
| 543 | C3×SD16 | — | 9 | 2 | no | — |
| 544 | C3×D8 | — | 9 | 2 | no | — |
| 545 | C3×M16 | — | 3 | 1 | no | — |
| 546 | C3×M16 | — | 3 | 1 | no | — |
| 547 | C3×M16 | — | 6 | 1 | no | — |
| 548 | C3×M16 | — | 9 | 1 | no | — |
| 549 | #216 | — | 3 | 2 | no | — |
| 550 | #216 | — | 3 | 2 | no | — |
| 551 | #216 | — | 3 | 2 | no | — |
| 552 | #215 | — | 3 | 2 | no | — |
| 553 | #215 | — | 3 | 2 | no | — |
| 554 | #215 | — | 3 | 2 | no | — |
| 555 | #215 | — | 9 | 2 | no | — |
| 556 | #214 | — | 3 | 2 | no | — |
| 557 | #214 | — | 9 | 2 | no | — |
| 558 | #213 | — | 3 | 2 | no | — |
| 559 | #213 | — | 9 | 2 | no | — |
| 560 | #213 | — | 9 | 2 | no | — |
| 561 | #208 | — | 3 | 1 | no | — |
| 562 | #208 | — | 3 | 1 | no | — |
| 563 | #208 | — | 6 | 1 | no | — |
| 564 | #208 | D32 | 1 | 1 | yes | characteristic, complemented |
| 565 | Dic12 | — | 3 | 2 | no | — |
| 566 | D24 | — | 3 | 2 | no | — |
| 567 | D24 | — | 9 | 2 | no | — |
| 568 | #204 | — | 3 | 2 | no | — |
| 569 | #204 | — | 3 | 2 | no | — |
| 570 | #204 | — | 9 | 2 | no | — |
| 571 | ΓL(1,𝔽25) | — | 9 | 2 | no | — |
| 572 | ΓL(1,𝔽25) | — | 9 | 2 | no | — |
| 573 | ΓL(1,𝔽25) | — | 9 | 2 | no | — |
| 574 | ΓL(1,𝔽25) | — | 18 | 2 | no | — |
| 575 | D3×C8 | — | 9 | 2 | no | — |
| 576 | D3×C8 | — | 9 | 2 | no | — |
| 577 | D3×C8 | — | 9 | 2 | no | — |
| 578 | D3×C8 | — | 18 | 2 | no | — |
| 579 | C22×C32 | — | 2 | 1 | no | — |
| 580 | C22×C32 | — | 2 | 1 | no | — |
| 581 | C22×C32 | — | 2 | 1 | no | — |
| 582 | C22×C32 | — | 4 | 1 | no | — |
| 583 | C22×C32 | — | 6 | 1 | no | — |
| 584 | C22×C32 | D3×D4 | 1 | 1 | yes | characteristic |
| 585 | C22×C32 | D3×D4 | 1 | 1 | yes | characteristic |
| 586 | C22×C32 | D3×D4 | 1 | 1 | yes | characteristic |
| 587 | C2×C3⋊D3 | — | 2 | 1 | no | — |
| 588 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 589 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 590 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 591 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 592 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 593 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 594 | C2×C3⋊D3 | — | 3 | 1 | no | — |
| 595 | C2×C3⋊D3 | — | 4 | 2 | no | — |
| 596 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 597 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 598 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 599 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 600 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 601 | C2×C3⋊D3 | — | 6 | 1 | no | — |
| 602 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 603 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 604 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 605 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 606 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 607 | C2×C3⋊D3 | — | 12 | 1 | no | — |
| 608 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 609 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 610 | C2×C3⋊D3 | — | 12 | 2 | no | — |
| 611 | C2×C3⋊D3 | — | 12 | 4 | no | — |
| 612 | C2×C3×D3 | — | 2 | 2 | no | — |
| 613 | C2×C3×D3 | — | 2 | 1 | no | — |
| 614 | C2×C3×D3 | — | 2 | 1 | no | — |
| 615 | C2×C3×D3 | — | 6 | 4 | no | — |
| 616 | C2×C3×D3 | — | 6 | 2 | no | — |
| 617 | C2×C3×D3 | — | 6 | 2 | no | — |
| 618 | C2×C3×D3 | — | 6 | 2 | no | — |
| 619 | C2×C3×D3 | — | 6 | 1 | no | — |
| 620 | C2×C3×D3 | — | 6 | 1 | no | — |
| 621 | C2×C3×D3 | — | 12 | 4 | no | — |
| 622 | C2×C3×D3 | — | 12 | 2 | no | — |
| 623 | C2×C3×D3 | — | 12 | 2 | no | — |
| 624 | D32 | — | 12 | 4 | no | — |
| 625 | D32 | — | 12 | 2 | no | — |
| 626 | D32 | — | 12 | 2 | no | — |
| 627 | C32×C4 | — | 2 | 1 | no | — |
| 628 | C32×C4 | — | 2 | 1 | no | — |
| 629 | C32×C4 | — | 2 | 1 | no | — |
| 630 | C32×C4 | — | 2 | 1 | no | — |
| 631 | C32×C4 | — | 2 | 1 | no | — |
| 632 | C32×C4 | — | 2 | 1 | no | — |
| 633 | C32×C4 | — | 4 | 1 | no | — |
| 634 | C32×C4 | — | 4 | 1 | no | — |
| 635 | C32×C4 | — | 6 | 1 | no | — |
| 636 | C32×C4 | — | 6 | 2 | no | — |
| 637 | C32×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 638 | C32×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 639 | C32×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 640 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 641 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 642 | C32×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 643 | C3⋊Dic3 | — | 2 | 1 | no | — |
| 644 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 645 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 646 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 647 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 648 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 649 | C3⋊Dic3 | — | 3 | 1 | no | — |
| 650 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 651 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 652 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 653 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 654 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 655 | C3⋊Dic3 | — | 6 | 1 | no | — |
| 656 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 657 | C3⋊Dic3 | — | 12 | 1 | no | — |
| 658 | C3×Dic3 | — | 2 | 4 | no | — |
| 659 | C3×Dic3 | — | 2 | 2 | no | — |
| 660 | C3×Dic3 | — | 2 | 2 | no | — |
| 661 | C3×Dic3 | — | 2 | 2 | no | — |
| 662 | C3×Dic3 | — | 2 | 1 | no | — |
| 663 | C3×Dic3 | — | 2 | 1 | no | — |
| 664 | C3×Dic3 | — | 6 | 2 | no | — |
| 665 | C3×Dic3 | — | 6 | 1 | no | — |
| 666 | C3×Dic3 | — | 6 | 1 | no | — |
| 667 | C2×#41 | — | 27 | 1 | no | — |
| 668 | C2×#41 | — | 27 | 1 | no | — |
| 669 | #137 | — | 9 | 1 | no | — |
| 670 | #137 | — | 9 | 1 | no | — |
| 671 | #137 | — | 27 | 2 | no | — |
| 672 | AGL(1,ℤ/8) | — | 9 | 1 | no | — |
| 673 | AGL(1,ℤ/8) | — | 27 | 1 | no | — |
| 674 | AGL(1,ℤ/8) | — | 27 | 2 | no | — |
| 675 | #135 | — | 27 | 2 | no | — |
| 676 | #135 | — | 27 | 2 | no | — |
| 677 | C2×M16 | — | 27 | 1 | no | — |
| 678 | C33 | #575 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 679 | C23×C3 | — | 18 | 1 | no | — |
| 680 | C22×D3 | — | 6 | 2 | no | — |
| 681 | C22×D3 | — | 6 | 1 | no | — |
| 682 | C22×D3 | — | 6 | 1 | no | — |
| 683 | C22×D3 | — | 9 | 1 | no | — |
| 684 | C22×D3 | — | 9 | 1 | no | — |
| 685 | C22×D3 | — | 9 | 1 | no | — |
| 686 | C22×D3 | — | 18 | 1 | no | — |
| 687 | C22×D3 | — | 18 | 1 | no | — |
| 688 | C22×D3 | — | 18 | 1 | no | — |
| 689 | C22×D3 | — | 18 | 1 | no | — |
| 690 | C22×D3 | — | 18 | 1 | no | — |
| 691 | C22×D3 | — | 18 | 1 | no | — |
| 692 | C22×D3 | — | 18 | 2 | no | — |
| 693 | C22×D3 | — | 36 | 1 | no | — |
| 694 | C3×Q8 | — | 3 | 1 | no | — |
| 695 | C3×Q8 | — | 3 | 2 | no | — |
| 696 | C3×Q8 | — | 3 | 2 | no | — |
| 697 | C3×Q8 | — | 3 | 1 | no | — |
| 698 | C3×Q8 | — | 6 | 1 | no | — |
| 699 | C3×Q8 | — | 6 | 2 | no | — |
| 700 | C3×Q8 | — | 6 | 2 | no | — |
| 701 | C3×Q8 | — | 6 | 1 | no | — |
| 702 | C3×Q8 | — | 6 | 1 | no | — |
| 703 | C3×Q8 | — | 9 | 1 | no | — |
| 704 | C3×D4 | — | 3 | 1 | no | — |
| 705 | C3×D4 | — | 3 | 1 | no | — |
| 706 | C3×D4 | — | 6 | 1 | no | — |
| 707 | C3×D4 | — | 6 | 2 | no | — |
| 708 | C3×D4 | — | 6 | 1 | no | — |
| 709 | C3×D4 | — | 6 | 1 | no | — |
| 710 | C3×D4 | — | 9 | 1 | no | — |
| 711 | C3×D4 | — | 9 | 2 | no | — |
| 712 | C3×D4 | — | 18 | 1 | no | — |
| 713 | C3×D4 | — | 18 | 1 | no | — |
| 714 | C2×C3×C4 | — | 2 | 1 | no | — |
| 715 | C2×C3×C4 | — | 2 | 1 | no | — |
| 716 | C2×C3×C4 | — | 2 | 1 | no | — |
| 717 | C2×C3×C4 | — | 4 | 1 | no | — |
| 718 | C2×C3×C4 | — | 6 | 2 | no | — |
| 719 | C2×C3×C4 | — | 6 | 2 | no | — |
| 720 | C2×C3×C4 | — | 6 | 1 | no | — |
| 721 | C2×C3×C4 | — | 6 | 1 | no | — |
| 722 | C2×C3×C4 | — | 6 | 1 | no | — |
| 723 | C2×C3×C4 | — | 6 | 1 | no | — |
| 724 | C2×C3×C4 | — | 18 | 1 | no | — |
| 725 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 726 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 727 | C2×C3×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 728 | #67 | — | 2 | 1 | no | — |
| 729 | #67 | — | 6 | 2 | no | — |
| 730 | #67 | — | 6 | 1 | no | — |
| 731 | #67 | — | 6 | 1 | no | — |
| 732 | #67 | — | 18 | 1 | no | — |
| 733 | #67 | — | 18 | 2 | no | — |
| 734 | #67 | — | 18 | 2 | no | — |
| 735 | #67 | — | 18 | 1 | no | — |
| 736 | #67 | — | 18 | 1 | no | — |
| 737 | #67 | — | 18 | 2 | no | — |
| 738 | #67 | — | 18 | 1 | no | — |
| 739 | #67 | — | 18 | 1 | no | — |
| 740 | #67 | — | 18 | 1 | no | — |
| 741 | #67 | — | 18 | 2 | no | — |
| 742 | C2×Dic3 | — | 2 | 1 | no | — |
| 743 | C2×Dic3 | — | 9 | 1 | no | — |
| 744 | C2×Dic3 | — | 9 | 1 | no | — |
| 745 | C2×Dic3 | — | 9 | 1 | no | — |
| 746 | C2×Dic3 | — | 18 | 1 | no | — |
| 747 | C2×Dic3 | — | 18 | 1 | no | — |
| 748 | C2×Dic3 | — | 18 | 1 | no | — |
| 749 | C2×Dic3 | — | 18 | 1 | no | — |
| 750 | C2×Dic3 | — | 18 | 2 | no | — |
| 751 | C2×Dic3 | — | 18 | 2 | no | — |
| 752 | C2×Dic3 | — | 18 | 1 | no | — |
| 753 | C2×Dic3 | — | 18 | 1 | no | — |
| 754 | C2×Dic3 | — | 18 | 2 | no | — |
| 755 | C2×Dic3 | — | 36 | 1 | no | — |
| 756 | D12 | — | 3 | 1 | no | — |
| 757 | D12 | — | 3 | 2 | no | — |
| 758 | D12 | — | 3 | 2 | no | — |
| 759 | D12 | — | 3 | 1 | no | — |
| 760 | D12 | — | 6 | 2 | no | — |
| 761 | D12 | — | 6 | 1 | no | — |
| 762 | D12 | — | 6 | 2 | no | — |
| 763 | D12 | — | 6 | 1 | no | — |
| 764 | D12 | — | 6 | 1 | no | — |
| 765 | D12 | — | 18 | 2 | no | — |
| 766 | D12 | — | 18 | 2 | no | — |
| 767 | D12 | — | 18 | 2 | no | — |
| 768 | D12 | — | 18 | 2 | no | — |
| 769 | D12 | — | 18 | 1 | no | — |
| 770 | D12 | — | 18 | 1 | no | — |
| 771 | D12 | — | 18 | 4 | no | — |
| 772 | D12 | — | 18 | 4 | no | — |
| 773 | D12 | — | 18 | 2 | no | — |
| 774 | D12 | — | 18 | 1 | no | — |
| 775 | D12 | C2×D32 | 1 | 1 | yes | characteristic |
| 776 | C4×D3 | — | 2 | 1 | no | — |
| 777 | C4×D3 | — | 6 | 2 | no | — |
| 778 | C4×D3 | — | 6 | 1 | no | — |
| 779 | C4×D3 | — | 6 | 1 | no | — |
| 780 | C4×D3 | — | 9 | 1 | no | — |
| 781 | C4×D3 | — | 9 | 1 | no | — |
| 782 | C4×D3 | — | 9 | 1 | no | — |
| 783 | C4×D3 | — | 9 | 1 | no | — |
| 784 | C4×D3 | — | 9 | 1 | no | — |
| 785 | C4×D3 | — | 9 | 1 | no | — |
| 786 | C4×D3 | — | 9 | 1 | no | — |
| 787 | C4×D3 | — | 9 | 1 | no | — |
| 788 | C4×D3 | — | 9 | 1 | no | — |
| 789 | C4×D3 | — | 9 | 1 | no | — |
| 790 | C4×D3 | — | 9 | 1 | no | — |
| 791 | C4×D3 | — | 9 | 1 | no | — |
| 792 | C4×D3 | — | 18 | 1 | no | — |
| 793 | C4×D3 | — | 18 | 1 | no | — |
| 794 | C4×D3 | — | 18 | 1 | no | — |
| 795 | C4×D3 | — | 18 | 1 | no | — |
| 796 | C4×D3 | — | 18 | 1 | no | — |
| 797 | C4×D3 | — | 18 | 1 | no | — |
| 798 | C4×D3 | — | 18 | 1 | no | — |
| 799 | C4×D3 | — | 18 | 1 | no | — |
| 800 | C4×D3 | — | 18 | 1 | no | — |
| 801 | C4×D3 | — | 18 | 1 | no | — |
| 802 | C4×D3 | — | 18 | 1 | no | — |
| 803 | C4×D3 | — | 18 | 1 | no | — |
| 804 | C4×D3 | — | 18 | 1 | no | — |
| 805 | C4×D3 | — | 18 | 1 | no | — |
| 806 | C4×D3 | — | 18 | 1 | no | — |
| 807 | C4×D3 | — | 18 | 2 | no | — |
| 808 | C4×D3 | — | 18 | 1 | no | — |
| 809 | C4×D3 | — | 18 | 1 | no | — |
| 810 | C4×D3 | — | 18 | 2 | no | — |
| 811 | C4×D3 | — | 18 | 2 | no | — |
| 812 | C4×D3 | — | 18 | 2 | no | — |
| 813 | C4×D3 | — | 18 | 2 | no | — |
| 814 | C4×D3 | — | 18 | 1 | no | — |
| 815 | C4×D3 | — | 18 | 2 | no | — |
| 816 | C4×D3 | — | 18 | 4 | no | — |
| 817 | C4×D3 | — | 18 | 4 | no | — |
| 818 | C4×D3 | — | 36 | 1 | no | — |
| 819 | C4×D3 | — | 36 | 1 | no | — |
| 820 | C4×D3 | — | 36 | 1 | no | — |
| 821 | C4×D3 | — | 36 | 1 | no | — |
| 822 | Dic6 | — | 2 | 1 | no | — |
| 823 | Dic6 | — | 3 | 1 | no | — |
| 824 | Dic6 | — | 3 | 1 | no | — |
| 825 | Dic6 | — | 6 | 1 | no | — |
| 826 | Dic6 | — | 18 | 1 | no | — |
| 827 | Dic6 | — | 18 | 1 | no | — |
| 828 | Dic6 | — | 18 | 1 | no | — |
| 829 | Dic6 | — | 18 | 2 | no | — |
| 830 | Dic6 | C2×D32 | 1 | 1 | yes | characteristic |
| 831 | Dic6 | C2×D32 | 1 | 2 | yes | — |
| 832 | C3×C8 | — | 3 | 2 | no | — |
| 833 | C3×C8 | — | 3 | 2 | no | — |
| 834 | C3×C8 | — | 6 | 2 | no | — |
| 835 | C3×C8 | — | 9 | 2 | no | — |
| 836 | C3⋊C8 | — | 3 | 2 | no | — |
| 837 | C3⋊C8 | — | 3 | 2 | no | — |
| 838 | C3⋊C8 | — | 6 | 2 | no | — |
| 839 | C3⋊C8 | C2×D32 | 1 | 2 | yes | — |
| 840 | C2×C32 | — | 2 | 1 | no | — |
| 841 | C2×C32 | — | 2 | 2 | no | — |
| 842 | C2×C32 | — | 2 | 1 | no | — |
| 843 | C2×C32 | — | 2 | 1 | no | — |
| 844 | C2×C32 | — | 2 | 1 | no | — |
| 845 | C2×C32 | — | 2 | 1 | no | — |
| 846 | C2×C32 | — | 2 | 1 | no | — |
| 847 | C2×C32 | — | 4 | 1 | no | — |
| 848 | C2×C32 | — | 4 | 1 | no | — |
| 849 | C2×C32 | — | 4 | 1 | no | — |
| 850 | C2×C32 | — | 4 | 2 | no | — |
| 851 | C2×C32 | — | 12 | 1 | no | — |
| 852 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 853 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 854 | C2×C32 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 855 | C3⋊D3 | — | 4 | 2 | no | — |
| 856 | C3⋊D3 | — | 4 | 1 | no | — |
| 857 | C3⋊D3 | — | 6 | 1 | no | — |
| 858 | C3⋊D3 | — | 6 | 1 | no | — |
| 859 | C3⋊D3 | — | 6 | 2 | no | — |
| 860 | C3⋊D3 | — | 6 | 2 | no | — |
| 861 | C3⋊D3 | — | 6 | 1 | no | — |
| 862 | C3⋊D3 | — | 6 | 1 | no | — |
| 863 | C3⋊D3 | — | 6 | 1 | no | — |
| 864 | C3⋊D3 | — | 6 | 1 | no | — |
| 865 | C3⋊D3 | — | 12 | 1 | no | — |
| 866 | C3⋊D3 | — | 12 | 1 | no | — |
| 867 | C3⋊D3 | — | 12 | 1 | no | — |
| 868 | C3⋊D3 | — | 12 | 1 | no | — |
| 869 | C3⋊D3 | — | 12 | 2 | no | — |
| 870 | C3⋊D3 | — | 12 | 2 | no | — |
| 871 | C3×D3 | — | 4 | 2 | no | — |
| 872 | C3×D3 | — | 4 | 1 | no | — |
| 873 | C3×D3 | — | 4 | 1 | no | — |
| 874 | C3×D3 | — | 12 | 2 | no | — |
| 875 | C3×D3 | — | 12 | 4 | no | — |
| 876 | C3×D3 | — | 12 | 1 | no | — |
| 877 | C3×D3 | — | 12 | 1 | no | — |
| 878 | C3×D3 | — | 12 | 2 | no | — |
| 879 | C3×D3 | — | 12 | 2 | no | — |
| 880 | #41 | — | 3 | 1 | no | — |
| 881 | #41 | — | 9 | 1 | no | — |
| 882 | #41 | — | 27 | 1 | no | — |
| 883 | #41 | — | 27 | 2 | no | — |
| 884 | #41 | — | 27 | 1 | no | — |
| 885 | #41 | — | 27 | 2 | no | — |
| 886 | #41 | — | 54 | 1 | no | — |
| 887 | #41 | — | 54 | 1 | no | — |
| 888 | #41 | — | 54 | 1 | no | — |
| 889 | #41 | — | 54 | 1 | no | — |
| 890 | C2×Q8 | — | 3 | 1 | no | — |
| 891 | C2×Q8 | — | 27 | 1 | no | — |
| 892 | C2×D4 | — | 9 | 1 | no | — |
| 893 | C2×D4 | — | 27 | 1 | no | — |
| 894 | C2×D4 | — | 54 | 1 | no | — |
| 895 | C2×D4 | — | 54 | 1 | no | — |
| 896 | C22×C4 | — | 27 | 1 | no | — |
| 897 | C22×C4 | — | 54 | 1 | no | — |
| 898 | C22×C4 | — | 54 | 1 | no | — |
| 899 | Q16 | — | 9 | 2 | no | — |
| 900 | Q16 | — | 9 | 2 | no | — |
| 901 | SD16 | — | 9 | 2 | no | — |
| 902 | SD16 | — | 9 | 2 | no | — |
| 903 | SD16 | — | 9 | 2 | no | — |
| 904 | SD16 | — | 27 | 2 | no | — |
| 905 | D8 | — | 9 | 2 | no | — |
| 906 | D8 | — | 27 | 2 | no | — |
| 907 | M16 | — | 3 | 1 | no | — |
| 908 | M16 | — | 9 | 1 | no | — |
| 909 | M16 | — | 27 | 2 | no | — |
| 910 | C2×C8 | — | 27 | 2 | no | — |
| 911 | C22×C3 | — | 2 | 1 | no | — |
| 912 | C22×C3 | — | 2 | 1 | no | — |
| 913 | C22×C3 | — | 2 | 1 | no | — |
| 914 | C22×C3 | — | 4 | 1 | no | — |
| 915 | C22×C3 | — | 6 | 2 | no | — |
| 916 | C22×C3 | — | 6 | 1 | no | — |
| 917 | C22×C3 | — | 6 | 1 | no | — |
| 918 | C22×C3 | — | 18 | 2 | no | — |
| 919 | C22×C3 | — | 18 | 1 | no | — |
| 920 | C22×C3 | — | 36 | 2 | no | — |
| 921 | C22×C3 | #3802 | 1 | 1 | yes | characteristic |
| 922 | C22×C3 | #3811 | 1 | 1 | yes | characteristic |
| 923 | C22×C3 | #3811 | 1 | 1 | yes | characteristic |
| 924 | C2×D3 | — | 2 | 1 | no | — |
| 925 | C2×D3 | — | 6 | 2 | no | — |
| 926 | C2×D3 | — | 6 | 4 | no | — |
| 927 | C2×D3 | — | 6 | 1 | no | — |
| 928 | C2×D3 | — | 6 | 2 | no | — |
| 929 | C2×D3 | — | 6 | 1 | no | — |
| 930 | C2×D3 | — | 6 | 2 | no | — |
| 931 | C2×D3 | — | 9 | 1 | no | — |
| 932 | C2×D3 | — | 9 | 1 | no | — |
| 933 | C2×D3 | — | 9 | 1 | no | — |
| 934 | C2×D3 | — | 9 | 1 | no | — |
| 935 | C2×D3 | — | 9 | 1 | no | — |
| 936 | C2×D3 | — | 9 | 1 | no | — |
| 937 | C2×D3 | — | 12 | 4 | no | — |
| 938 | C2×D3 | — | 12 | 2 | no | — |
| 939 | C2×D3 | — | 12 | 2 | no | — |
| 940 | C2×D3 | — | 18 | 1 | no | — |
| 941 | C2×D3 | — | 18 | 1 | no | — |
| 942 | C2×D3 | — | 18 | 1 | no | — |
| 943 | C2×D3 | — | 18 | 1 | no | — |
| 944 | C2×D3 | — | 18 | 1 | no | — |
| 945 | C2×D3 | — | 18 | 1 | no | — |
| 946 | C2×D3 | — | 36 | 1 | no | — |
| 947 | C2×D3 | — | 36 | 1 | no | — |
| 948 | C2×D3 | — | 36 | 2 | no | — |
| 949 | C2×D3 | — | 36 | 4 | no | — |
| 950 | C2×D3 | — | 36 | 2 | no | — |
| 951 | C2×D3 | — | 36 | 2 | no | — |
| 952 | C2×D3 | — | 36 | 1 | no | — |
| 953 | C2×D3 | — | 36 | 1 | no | — |
| 954 | C2×D3 | — | 36 | 1 | no | — |
| 955 | C2×D3 | — | 36 | 2 | no | — |
| 956 | C2×D3 | — | 36 | 2 | no | — |
| 957 | C2×D3 | — | 36 | 2 | no | — |
| 958 | C2×D3 | — | 36 | 4 | no | — |
| 959 | C3×C4 | — | 2 | 1 | no | — |
| 960 | C3×C4 | — | 2 | 1 | no | — |
| 961 | C3×C4 | — | 2 | 1 | no | — |
| 962 | C3×C4 | — | 2 | 1 | no | — |
| 963 | C3×C4 | — | 2 | 1 | no | — |
| 964 | C3×C4 | — | 2 | 1 | no | — |
| 965 | C3×C4 | — | 4 | 1 | no | — |
| 966 | C3×C4 | — | 4 | 1 | no | — |
| 967 | C3×C4 | — | 6 | 2 | no | — |
| 968 | C3×C4 | — | 6 | 4 | no | — |
| 969 | C3×C4 | — | 6 | 1 | no | — |
| 970 | C3×C4 | — | 6 | 2 | no | — |
| 971 | C3×C4 | — | 6 | 1 | no | — |
| 972 | C3×C4 | — | 6 | 2 | no | — |
| 973 | C3×C4 | — | 18 | 1 | no | — |
| 974 | C3×C4 | #3802 | 1 | 1 | yes | characteristic |
| 975 | C3×C4 | #3811 | 1 | 1 | yes | characteristic |
| 976 | C3×C4 | #3811 | 1 | 1 | yes | characteristic |
| 977 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 978 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 979 | C3×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 980 | Dic3 | — | 2 | 2 | no | — |
| 981 | Dic3 | — | 2 | 1 | no | — |
| 982 | Dic3 | — | 6 | 2 | no | — |
| 983 | Dic3 | — | 6 | 1 | no | — |
| 984 | Dic3 | — | 6 | 1 | no | — |
| 985 | Dic3 | — | 9 | 1 | no | — |
| 986 | Dic3 | — | 9 | 1 | no | — |
| 987 | Dic3 | — | 9 | 1 | no | — |
| 988 | Dic3 | — | 9 | 1 | no | — |
| 989 | Dic3 | — | 9 | 1 | no | — |
| 990 | Dic3 | — | 9 | 1 | no | — |
| 991 | Dic3 | — | 18 | 1 | no | — |
| 992 | Dic3 | — | 18 | 1 | no | — |
| 993 | Dic3 | — | 18 | 1 | no | — |
| 994 | Dic3 | — | 18 | 1 | no | — |
| 995 | Dic3 | — | 18 | 1 | no | — |
| 996 | Dic3 | — | 18 | 1 | no | — |
| 997 | Dic3 | — | 36 | 1 | no | — |
| 998 | Dic3 | — | 36 | 1 | no | — |
| 999 | C32 | — | 2 | 1 | no | — |
| 1000 | C32 | — | 2 | 1 | no | — |
| 1001 | C32 | — | 2 | 1 | no | — |
| 1002 | C32 | — | 4 | 1 | no | — |
| 1003 | C32 | #5773 | 1 | 1 | yes | characteristic, complemented |
| 1004 | C32 | #5777 | 1 | 1 | yes | characteristic, complemented |
| 1005 | C32 | #5777 | 1 | 1 | yes | characteristic, complemented |
| 1006 | C23 | — | 18 | 1 | no | — |
| 1007 | C23 | — | 27 | 1 | no | — |
| 1008 | C23 | — | 54 | 1 | no | — |
| 1009 | Q8 | — | 3 | 2 | no | — |
| 1010 | Q8 | — | 3 | 1 | no | — |
| 1011 | Q8 | — | 6 | 1 | no | — |
| 1012 | Q8 | — | 9 | 1 | no | — |
| 1013 | Q8 | — | 54 | 1 | no | — |
| 1014 | D4 | — | 3 | 1 | no | — |
| 1015 | D4 | — | 6 | 1 | no | — |
| 1016 | D4 | — | 9 | 2 | no | — |
| 1017 | D4 | — | 9 | 1 | no | — |
| 1018 | D4 | — | 18 | 1 | no | — |
| 1019 | D4 | — | 18 | 1 | no | — |
| 1020 | D4 | — | 54 | 1 | no | — |
| 1021 | D4 | — | 54 | 2 | no | — |
| 1022 | D4 | — | 54 | 2 | no | — |
| 1023 | D4 | — | 54 | 1 | no | — |
| 1024 | D4 | — | 54 | 1 | no | — |
| 1025 | C2×C4 | — | 6 | 1 | no | — |
| 1026 | C2×C4 | — | 6 | 1 | no | — |
| 1027 | C2×C4 | — | 18 | 1 | no | — |
| 1028 | C2×C4 | — | 27 | 1 | no | — |
| 1029 | C2×C4 | — | 27 | 1 | no | — |
| 1030 | C2×C4 | — | 27 | 1 | no | — |
| 1031 | C2×C4 | — | 27 | 1 | no | — |
| 1032 | C2×C4 | — | 27 | 1 | no | — |
| 1033 | C2×C4 | — | 54 | 1 | no | — |
| 1034 | C2×C4 | — | 54 | 1 | no | — |
| 1035 | C2×C4 | — | 54 | 2 | no | — |
| 1036 | C2×C4 | — | 54 | 2 | no | — |
| 1037 | C2×C4 | — | 54 | 1 | no | — |
| 1038 | C2×C4 | D33 | 1 | 1 | yes | characteristic |
| 1039 | C8 | — | 3 | 2 | no | — |
| 1040 | C8 | — | 9 | 2 | no | — |
| 1041 | C2×C3 | — | 2 | 2 | no | — |
| 1042 | C2×C3 | — | 2 | 1 | no | — |
| 1043 | C2×C3 | — | 2 | 1 | no | — |
| 1044 | C2×C3 | — | 2 | 1 | no | — |
| 1045 | C2×C3 | — | 2 | 1 | no | — |
| 1046 | C2×C3 | — | 2 | 1 | no | — |
| 1047 | C2×C3 | — | 2 | 1 | no | — |
| 1048 | C2×C3 | — | 4 | 1 | no | — |
| 1049 | C2×C3 | — | 4 | 1 | no | — |
| 1050 | C2×C3 | — | 4 | 2 | no | — |
| 1051 | C2×C3 | — | 4 | 1 | no | — |
| 1052 | C2×C3 | — | 12 | 2 | no | — |
| 1053 | C2×C3 | — | 12 | 1 | no | — |
| 1054 | C2×C3 | — | 12 | 1 | no | — |
| 1055 | C2×C3 | — | 36 | 1 | no | — |
| 1056 | C2×C3 | — | 36 | 2 | no | — |
| 1057 | C2×C3 | C2×#3802 | 1 | 1 | yes | characteristic |
| 1058 | C2×C3 | C2×#3811 | 1 | 1 | yes | characteristic |
| 1059 | C2×C3 | C2×#3811 | 1 | 1 | yes | characteristic |
| 1060 | D3 | — | 4 | 1 | no | — |
| 1061 | D3 | — | 12 | 4 | no | — |
| 1062 | D3 | — | 12 | 2 | no | — |
| 1063 | D3 | — | 12 | 2 | no | — |
| 1064 | D3 | — | 12 | 2 | no | — |
| 1065 | D3 | — | 12 | 1 | no | — |
| 1066 | D3 | — | 12 | 1 | no | — |
| 1067 | D3 | — | 18 | 2 | no | — |
| 1068 | D3 | — | 18 | 2 | no | — |
| 1069 | D3 | — | 18 | 1 | no | — |
| 1070 | D3 | — | 18 | 1 | no | — |
| 1071 | D3 | — | 18 | 1 | no | — |
| 1072 | D3 | — | 18 | 1 | no | — |
| 1073 | D3 | — | 18 | 1 | no | — |
| 1074 | D3 | — | 18 | 1 | no | — |
| 1075 | D3 | — | 36 | 1 | no | — |
| 1076 | D3 | — | 36 | 1 | no | — |
| 1077 | D3 | — | 36 | 1 | no | — |
| 1078 | D3 | — | 36 | 1 | no | — |
| 1079 | D3 | — | 36 | 2 | no | — |
| 1080 | D3 | — | 36 | 2 | no | — |
| 1081 | C22 | — | 6 | 1 | no | — |
| 1082 | C22 | — | 18 | 1 | no | — |
| 1083 | C22 | — | 18 | 2 | no | — |
| 1084 | C22 | — | 27 | 1 | no | — |
| 1085 | C22 | — | 27 | 1 | no | — |
| 1086 | C22 | — | 36 | 2 | no | — |
| 1087 | C22 | — | 108 | 1 | no | — |
| 1088 | C22 | — | 108 | 2 | no | — |
| 1089 | C22 | #88954 | 1 | 1 | yes | characteristic |
| 1090 | C4 | — | 6 | 1 | no | — |
| 1091 | C4 | — | 6 | 2 | no | — |
| 1092 | C4 | — | 18 | 1 | no | — |
| 1093 | C4 | — | 27 | 1 | no | — |
| 1094 | C4 | — | 27 | 1 | no | — |
| 1095 | C4 | #88954 | 1 | 1 | yes | characteristic |
| 1096 | C4 | C2×D33 | 1 | 1 | yes | characteristic |
| 1097 | C3 | — | 2 | 1 | no | — |
| 1098 | C3 | — | 2 | 1 | no | — |
| 1099 | C3 | — | 2 | 1 | no | — |
| 1100 | C3 | — | 4 | 1 | no | — |
| 1101 | C3 | #10594718 | 1 | 1 | yes | characteristic, complemented |
| 1102 | C3 | #10595323 | 1 | 1 | yes | characteristic, complemented |
| 1103 | C3 | #10595471 | 1 | 1 | yes | characteristic, complemented |
| 1104 | C2 | — | 2 | 1 | no | — |
| 1105 | C2 | — | 12 | 1 | no | — |
| 1106 | C2 | — | 36 | 2 | no | — |
| 1107 | C2 | — | 36 | 1 | no | — |
| 1108 | C2 | — | 54 | 1 | no | — |
| 1109 | C2 | — | 54 | 1 | no | — |
| 1110 | C2 | C2×#88954 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C2×#88954 |
| commutator, cosocle | C33×C4 | C24 |
| Frattini | C4 | C2×D33 |
| Fitting | C2×C33×C4 | C23 |
| socle | C2×C33 | C22×D4 |
| hypercenter | C2×C4 | D33 |
| hypocenter | C33 | #575 |
| LCS | G ▷ C33×C4 ▷ C2×C33 ▷ C33 | |
| UCS | C1 ◁ C2 ◁ C2×C4 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11724578 | C2 | semidirect |
| 2. C2×#89017 | C2 | semidirect |
| 3. #11723661 | C2 | semidirect |
| 4. #11723358 | C2 | semidirect |
| 5. C3×#63833 | C2 | semidirect |
| 6. C3×#63827 | C2 | semidirect |
| 7. C3×#63825 | C2 | semidirect |
| 8. #11722894 | C2 | semidirect |
| 9. #11722878 | C2 | semidirect |
| 10. #11722863 | C2 | semidirect |
| 11. #11722862 | C2 | semidirect |
| 17. C2×C3×C4⋊(C3⋊D3) | C22 | semidirect |
| 19. C2×C32×Dic6 | C22 | semidirect |
| 24. #89026 | C22 | semidirect |
| 27. #89019 | C22 | semidirect |
| 31. #89017 | C22 | semidirect |
| 32. #89017 | C22 | semidirect |
| 33. #89015 | C22 | semidirect |
| 34. C3×#3748 | C22 | semidirect |
| 35. C32×#208 | C22 | semidirect |
| 36. #88811 | C22 | semidirect |
| 37. #88810 | C22 | semidirect |
| 38. #88788 | C22 | semidirect |
| 39. #88785 | C22 | semidirect |
| 40. C3×#3719 | C22 | semidirect |
| 41. C3×#3718 | C22 | semidirect |
| 42. C3×#3717 | C22 | semidirect |
| 43. C3×#3717 | C22 | semidirect |
| 44. C3×#3715 | C22 | semidirect |
| 45. C3×#3714 | C22 | semidirect |
| 69. #63833 | D3 | semidirect |
| 71. #63827 | D3 | semidirect |
| 73. #63825 | D3 | semidirect |
| 135. C2×C4⋊(C3⋊D3) | C2×D3 | semidirect |
| 155. C2×C3×Dic6 | C2×D3 | semidirect |
| 156. C2×C3×Dic6 | C2×D3 | semidirect |
| 200. #3748 | C2×D3 | semidirect |
| 215. C3×#208 | C2×D3 | semidirect |
| 216. C3×#208 | C2×D3 | semidirect |
| 221. #3719 | C2×D3 | semidirect |
| 222. #3718 | C2×D3 | semidirect |
| 224. #3717 | C2×D3 | semidirect |
| 225. #3717 | C2×D3 | semidirect |
| 228. #3715 | C2×D3 | semidirect |
| 231. #3714 | C2×D3 | semidirect |
| 538. C2×Dic6 | D32 | semidirect |
| 564. #208 | D32 | semidirect |
| 678. C33 | #575 | semidirect |
| 1003. C32 | #5773 | semidirect |
| 1004. C32 | #5777 | semidirect |
| 1005. C32 | #5777 | semidirect |
| 1101. C3 | #10594718 | semidirect |
| 1102. C3 | #10595323 | semidirect |
| 1103. C3 | #10595471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11724578 | 2 |
| C2×#89017 | 2 |
| #11723661 | 2 |
| #11723358 | 2 |
| C3×#63833 | 2 |
| C3×#63827 | 2 |
| C3×#63825 | 2 |
| #11722894 | 2 |
| #11722878 | 2 |
| #11722863 | 2 |
| #11722862 | 2 |
| #10595471 | 3 |
| #10595323 | 3 |
| #10594718 | 3 |