Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2949 conjugacy classes of subgroups.
The subgroup lattice has 832 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596694 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C3⋊D3×#135 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5771 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #10595468 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #10595465 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #10594765 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | D32×Q16 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #10594752 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10594742 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10594737 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #10594730 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | C2×#63802 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #10594691 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #10594669 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | D3×#578 | — | 3 | 2 | no | maximal |
| 16 | #41×C3⋊D3 | C22 | 1 | 2 | yes | — |
| 17 | C3×#1010 | C22 | 1 | 4 | yes | complemented |
| 18 | D32×Q8 | C22 | 1 | 4 | yes | — |
| 19 | #64316 | C22 | 1 | 4 | yes | complemented |
| 20 | #64312 | — | 2 | 4 | no | — |
| 21 | #64312 | C22 | 1 | 4 | yes | — |
| 22 | #64309 | — | 2 | 4 | no | — |
| 23 | #64309 | C22 | 1 | 4 | yes | complemented |
| 24 | #64306 | — | 2 | 2 | no | — |
| 25 | #64306 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#3797 | — | 2 | 2 | no | — |
| 27 | C2×#3797 | C22 | 1 | 2 | yes | — |
| 28 | #64297 | — | 2 | 4 | no | — |
| 29 | #64297 | C22 | 1 | 4 | yes | complemented |
| 30 | C32×#135 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #64159 | C22 | 1 | 2 | yes | complemented |
| 32 | #64128 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | Q16×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 34 | #64125 | C22 | 1 | 2 | yes | complemented |
| 35 | SD16×C3⋊D3 | C22 | 1 | 2 | yes | — |
| 36 | #64121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | D8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 38 | #64113 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | C2×C8×C3⋊D3 | C22 | 1 | 1 | yes | characteristic |
| 40 | C3×#951 | C22 | 1 | 4 | yes | complemented |
| 41 | C3×D3×Q16 | C22 | 1 | 4 | yes | complemented |
| 42 | C3×#915 | C22 | 1 | 8 | yes | complemented |
| 43 | C3×#912 | C22 | 1 | 4 | yes | complemented |
| 44 | C2×C3×Dic12 | C22 | 1 | 2 | yes | complemented |
| 45 | C3×#901 | C22 | 1 | 2 | yes | complemented |
| 46 | #63948 | C22 | 1 | 8 | yes | complemented |
| 47 | #63945 | C22 | 1 | 4 | yes | complemented |
| 48 | #63944 | C22 | 1 | 4 | yes | — |
| 49 | D3×#216 | C22 | 1 | 8 | yes | complemented |
| 50 | #63935 | C22 | 1 | 8 | yes | complemented |
| 51 | #63931 | C22 | 1 | 4 | yes | complemented |
| 52 | #63930 | C22 | 1 | 4 | yes | — |
| 53 | #63929 | C22 | 1 | 8 | yes | complemented |
| 54 | C2×#3718 | C22 | 1 | 2 | yes | complemented |
| 55 | #63833 | C22 | 1 | 4 | yes | complemented |
| 56 | #63818 | C22 | 1 | 1 | yes | characteristic |
| 57 | #63815 | C22 | 1 | 2 | yes | complemented |
| 58 | #63808 | C22 | 1 | 4 | yes | complemented |
| 59 | #63805 | C22 | 1 | 2 | yes | complemented |
| 60 | #63803 | C22 | 1 | 2 | yes | complemented |
| 61 | #63802 | C22 | 1 | 2 | yes | — |
| 62 | #63802 | C22 | 1 | 2 | yes | — |
| 63 | #63802 | C22 | 1 | 2 | yes | complemented |
| 64 | #63802 | C22 | 1 | 2 | yes | complemented |
| 65 | #63801 | C22 | 1 | 8 | yes | complemented |
| 66 | D3×Dic12 | C22 | 1 | 4 | yes | complemented |
| 67 | #63791 | C22 | 1 | 2 | yes | — |
| 68 | D32×C8 | C22 | 1 | 2 | yes | — |
| 69 | D3×2−1+4 | — | 3 | 4 | no | — |
| 70 | C3×#578 | — | 3 | 2 | no | — |
| 71 | #5838 | — | 3 | 4 | no | — |
| 72 | #5779 | — | 3 | 4 | no | — |
| 73 | #5779 | — | 3 | 8 | no | — |
| 74 | D3×#137 | — | 3 | 4 | no | — |
| 75 | D3×#137 | — | 3 | 8 | no | — |
| 76 | #5771 | — | 3 | 4 | no | — |
| 77 | #5771 | D3 | 1 | 2 | yes | complemented |
| 78 | D3×#135 | — | 3 | 2 | no | — |
| 79 | D3×#135 | — | 3 | 4 | no | — |
| 80 | D3×#135 | — | 6 | 1 | no | — |
| 81 | #5766 | — | 3 | 4 | no | — |
| 82 | #5766 | — | 3 | 2 | no | — |
| 83 | C2×D3×Q16 | — | 3 | 4 | no | — |
| 84 | C2×D3×Q16 | — | 3 | 2 | no | — |
| 85 | #5753 | — | 3 | 2 | no | — |
| 86 | D3×#131 | — | 3 | 2 | no | — |
| 87 | C32×#41 | C23 | 1 | 2 | yes | — |
| 88 | #3832 | C23 | 1 | 2 | yes | — |
| 89 | Q8×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 90 | #3830 | — | 2 | 2 | no | — |
| 91 | #3830 | C23 | 1 | 2 | yes | — |
| 92 | D4×C3⋊D3 | — | 2 | 2 | no | — |
| 93 | D4×C3⋊D3 | C23 | 1 | 2 | yes | — |
| 94 | #3828 | — | 2 | 2 | no | — |
| 95 | #3828 | C23 | 1 | 2 | yes | — |
| 96 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 97 | C2×C4×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 98 | C3×D3×Q8 | C23 | 1 | 8 | yes | — |
| 99 | C3×#237 | — | 2 | 8 | no | — |
| 100 | C3×#237 | C23 | 1 | 8 | yes | — |
| 101 | C3×#235 | — | 2 | 4 | no | — |
| 102 | C3×#235 | C23 | 1 | 2 | yes | — |
| 103 | C2×C3×Dic6 | — | 2 | 4 | no | — |
| 104 | C2×C3×Dic6 | C23 | 1 | 4 | yes | — |
| 105 | #3811 | — | 2 | 4 | no | — |
| 106 | #3811 | D4 | 1 | 2 | yes | — |
| 107 | C2×#627 | — | 2 | 2 | no | — |
| 108 | C2×#627 | — | 2 | 4 | no | — |
| 109 | C2×#624 | — | 2 | 2 | no | — |
| 110 | C2×#624 | — | 2 | 4 | no | — |
| 111 | #3805 | — | 2 | 4 | no | — |
| 112 | #3805 | D4 | 1 | 2 | yes | — |
| 113 | #3804 | — | 2 | 8 | no | — |
| 114 | #3804 | — | 2 | 8 | no | — |
| 115 | #3804 | — | 2 | 8 | no | — |
| 116 | #3802 | D4 | 1 | 1 | yes | characteristic |
| 117 | C4×D32 | — | 2 | 4 | no | — |
| 118 | C4×D32 | C23 | 1 | 2 | yes | — |
| 119 | #3799 | — | 2 | 8 | no | — |
| 120 | #3799 | C23 | 1 | 8 | yes | — |
| 121 | #3798 | — | 2 | 4 | no | — |
| 122 | #3798 | C23 | 1 | 2 | yes | — |
| 123 | #3797 | — | 2 | 2 | no | — |
| 124 | #3797 | — | 2 | 2 | no | — |
| 125 | #3797 | — | 2 | 4 | no | — |
| 126 | #3797 | — | 2 | 4 | no | — |
| 127 | #3797 | — | 2 | 4 | no | — |
| 128 | #3797 | D4 | 1 | 1 | yes | characteristic |
| 129 | #3797 | C23 | 1 | 4 | yes | — |
| 130 | #3797 | C23 | 1 | 4 | yes | — |
| 131 | #3796 | — | 2 | 4 | no | — |
| 132 | #3796 | D4 | 1 | 2 | yes | — |
| 133 | D3×Dic6 | — | 2 | 8 | no | — |
| 134 | D3×Dic6 | C23 | 1 | 8 | yes | — |
| 135 | C32×Q16 | C23 | 1 | 1 | yes | characteristic |
| 136 | C32×SD16 | C23 | 1 | 2 | yes | — |
| 137 | C32×D8 | C23 | 1 | 1 | yes | characteristic |
| 138 | C2×C32×C8 | C23 | 1 | 1 | yes | characteristic |
| 139 | #3756 | C23 | 1 | 2 | yes | — |
| 140 | #3755 | C23 | 1 | 2 | yes | — |
| 141 | #3754 | C23 | 1 | 2 | yes | — |
| 142 | #3753 | C23 | 1 | 2 | yes | — |
| 143 | C2×C3⋊(C3⋊C8) | C23 | 1 | 1 | yes | characteristic |
| 144 | #3746 | C23 | 1 | 1 | yes | characteristic |
| 145 | #3745 | C23 | 1 | 1 | yes | characteristic |
| 146 | #3744 | C23 | 1 | 2 | yes | — |
| 147 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 148 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 149 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 150 | C8×C3⋊D3 | C23 | 1 | 1 | yes | characteristic |
| 151 | C3×#216 | C23 | 1 | 8 | yes | — |
| 152 | C3×#214 | C23 | 1 | 8 | yes | — |
| 153 | C3×#208 | C23 | 1 | 2 | yes | — |
| 154 | C3×Dic12 | C23 | 1 | 4 | yes | — |
| 155 | C3×Dic12 | C23 | 1 | 4 | yes | — |
| 156 | C3×ΓL(1,𝔽25) | C23 | 1 | 4 | yes | — |
| 157 | C3×D3×C8 | C23 | 1 | 4 | yes | — |
| 158 | #3719 | C23 | 1 | 8 | yes | — |
| 159 | #3718 | C23 | 1 | 4 | yes | — |
| 160 | #3718 | C23 | 1 | 4 | yes | — |
| 161 | #3717 | C23 | 1 | 8 | yes | — |
| 162 | #3712 | C23 | 1 | 2 | yes | — |
| 163 | #3711 | C23 | 1 | 4 | yes | — |
| 164 | #3710 | C23 | 1 | 2 | yes | — |
| 165 | D3×C3⋊C8 | C23 | 1 | 4 | yes | — |
| 166 | C2×#578 | — | 9 | 1 | no | Sylow |
| 167 | C3×2−1+4 | — | 3 | 4 | no | — |
| 168 | #1010 | — | 3 | 4 | no | — |
| 169 | #1010 | — | 3 | 8 | no | — |
| 170 | #1010 | — | 6 | 4 | no | — |
| 171 | #1010 | — | 6 | 8 | no | — |
| 172 | #1010 | C2×D3 | 1 | 4 | yes | complemented |
| 173 | D3×#41 | — | 3 | 2 | no | — |
| 174 | D3×#41 | — | 3 | 4 | no | — |
| 175 | D3×#41 | — | 3 | 8 | no | — |
| 176 | D3×#41 | — | 6 | 2 | no | — |
| 177 | D3×#41 | — | 6 | 4 | no | — |
| 178 | D3×#41 | — | 6 | 8 | no | — |
| 179 | #1007 | — | 3 | 8 | no | — |
| 180 | #1007 | — | 3 | 4 | no | — |
| 181 | #1007 | — | 6 | 4 | no | — |
| 182 | C2×D3×Q8 | — | 3 | 8 | no | — |
| 183 | C2×D3×Q8 | — | 3 | 4 | no | — |
| 184 | C2×D3×Q8 | — | 6 | 4 | no | — |
| 185 | C3×#137 | — | 3 | 4 | no | — |
| 186 | C3×#137 | — | 3 | 8 | no | — |
| 187 | C3×#135 | — | 2 | 1 | no | — |
| 188 | C3×#135 | — | 3 | 4 | no | — |
| 189 | C3×#135 | C2×D3 | 1 | 2 | yes | complemented |
| 190 | C2×C3×Q16 | — | 3 | 4 | no | — |
| 191 | C2×C3×Q16 | — | 3 | 2 | no | — |
| 192 | C3×#131 | — | 3 | 2 | no | — |
| 193 | #951 | — | 3 | 8 | no | — |
| 194 | #951 | C2×D3 | 1 | 4 | yes | complemented |
| 195 | #950 | — | 3 | 4 | no | — |
| 196 | #950 | — | 3 | 8 | no | — |
| 197 | #950 | — | 6 | 2 | no | — |
| 198 | #948 | — | 3 | 2 | no | — |
| 199 | C2×#216 | — | 3 | 4 | no | — |
| 200 | C2×#216 | — | 3 | 8 | no | — |
| 201 | #942 | — | 3 | 8 | no | — |
| 202 | #942 | — | 3 | 4 | no | — |
| 203 | #919 | — | 3 | 2 | no | — |
| 204 | #919 | — | 3 | 4 | no | — |
| 205 | #919 | — | 6 | 1 | no | — |
| 206 | #918 | — | 3 | 8 | no | — |
| 207 | #918 | — | 3 | 8 | no | — |
| 208 | #918 | — | 3 | 8 | no | — |
| 209 | D3×Q16 | — | 3 | 8 | no | — |
| 210 | D3×Q16 | — | 3 | 2 | no | — |
| 211 | D3×Q16 | — | 3 | 8 | no | — |
| 212 | D3×Q16 | — | 3 | 4 | no | — |
| 213 | D3×Q16 | — | 3 | 4 | no | — |
| 214 | D3×Q16 | — | 3 | 4 | no | — |
| 215 | D3×Q16 | — | 3 | 4 | no | — |
| 216 | D3×Q16 | — | 3 | 4 | no | — |
| 217 | D3×Q16 | — | 6 | 1 | no | — |
| 218 | D3×Q16 | C2×D3 | 1 | 4 | yes | complemented |
| 219 | #916 | — | 3 | 8 | no | — |
| 220 | #916 | — | 3 | 4 | no | — |
| 221 | #916 | — | 6 | 2 | no | — |
| 222 | #915 | — | 3 | 8 | no | — |
| 223 | #915 | — | 3 | 8 | no | — |
| 224 | #915 | C2×D3 | 1 | 8 | yes | complemented |
| 225 | D3×SD16 | — | 3 | 4 | no | — |
| 226 | D3×SD16 | — | 3 | 8 | no | — |
| 227 | D3×SD16 | — | 6 | 2 | no | — |
| 228 | #912 | — | 3 | 2 | no | — |
| 229 | #912 | — | 6 | 1 | no | — |
| 230 | #912 | C2×D3 | 1 | 4 | yes | complemented |
| 231 | D3×D8 | — | 3 | 2 | no | — |
| 232 | D3×D8 | — | 6 | 1 | no | — |
| 233 | #909 | — | 3 | 4 | no | — |
| 234 | #909 | — | 3 | 8 | no | — |
| 235 | #907 | — | 3 | 2 | no | — |
| 236 | #907 | — | 3 | 4 | no | — |
| 237 | D3×M16 | — | 3 | 2 | no | — |
| 238 | D3×M16 | — | 3 | 4 | no | — |
| 239 | C2×Dic12 | — | 3 | 4 | no | — |
| 240 | C2×Dic12 | C2×D3 | 1 | 2 | yes | complemented |
| 241 | #904 | — | 3 | 2 | no | — |
| 242 | #904 | — | 3 | 4 | no | — |
| 243 | #904 | — | 6 | 1 | no | — |
| 244 | #901 | — | 3 | 4 | no | — |
| 245 | #901 | C2×D3 | 1 | 2 | yes | complemented |
| 246 | C2×D3×C8 | — | 3 | 2 | no | — |
| 247 | C2×D3×C8 | — | 3 | 4 | no | — |
| 248 | C2×D3×C8 | — | 6 | 1 | no | — |
| 249 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 250 | C22×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×D32 | C2×D4 | 1 | 2 | yes | — |
| 252 | C32×Q8 | C24 | 1 | 2 | yes | — |
| 253 | C32×D4 | — | 2 | 2 | no | — |
| 254 | C32×D4 | C24 | 1 | 2 | yes | — |
| 255 | C2×C32×C4 | — | 2 | 2 | no | — |
| 256 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 257 | #638 | — | 2 | 2 | no | — |
| 258 | #638 | — | 2 | 2 | no | — |
| 259 | #638 | — | 2 | 2 | no | — |
| 260 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 261 | C2×C3⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 263 | C4⋊(C3⋊D3) | C24 | 1 | 2 | yes | — |
| 264 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 265 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 266 | C4×C3⋊D3 | — | 2 | 2 | no | — |
| 267 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 268 | C4×C3⋊D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 269 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 270 | C4×C3⋊D3 | C24 | 1 | 1 | yes | characteristic |
| 271 | #634 | — | 2 | 2 | no | — |
| 272 | #634 | C24 | 1 | 2 | yes | — |
| 273 | C3×#67 | — | 2 | 8 | no | — |
| 274 | C3×#67 | C2×D4 | 1 | 4 | yes | — |
| 275 | C2×C3×Dic3 | — | 2 | 4 | no | — |
| 276 | C2×C3×Dic3 | — | 2 | 8 | no | — |
| 277 | C3×D12 | C2×D4 | 1 | 2 | yes | — |
| 278 | C3×C4×D3 | — | 2 | 8 | no | — |
| 279 | C3×C4×D3 | C24 | 1 | 4 | yes | — |
| 280 | C3×Dic6 | — | 2 | 4 | no | — |
| 281 | C3×Dic6 | — | 2 | 8 | no | — |
| 282 | C3×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 283 | C3×Dic6 | C24 | 1 | 8 | yes | — |
| 284 | #627 | — | 2 | 4 | no | — |
| 285 | #627 | — | 2 | 4 | no | — |
| 286 | #627 | — | 2 | 8 | no | — |
| 287 | #627 | C2×D4 | 1 | 2 | yes | — |
| 288 | #626 | — | 2 | 8 | no | — |
| 289 | #626 | C2×D4 | 1 | 4 | yes | — |
| 290 | #625 | C2×D4 | 1 | 2 | yes | — |
| 291 | #624 | — | 2 | 4 | no | — |
| 292 | #624 | — | 2 | 4 | no | — |
| 293 | #624 | — | 2 | 8 | no | — |
| 294 | #624 | C2×D4 | 1 | 2 | yes | — |
| 295 | D3×Dic3 | — | 2 | 8 | no | — |
| 296 | D3×Dic3 | C2×D4 | 1 | 4 | yes | — |
| 297 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 298 | C32×C8 | C24 | 1 | 1 | yes | characteristic |
| 299 | C3⋊(C3⋊C8) | C24 | 1 | 1 | yes | characteristic |
| 300 | C3⋊(C3⋊C8) | C24 | 1 | 1 | yes | characteristic |
| 301 | C3×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 302 | C2×2−1+4 | — | 9 | 2 | no | — |
| 303 | #578 | — | 3 | 2 | no | — |
| 304 | #578 | — | 9 | 2 | no | — |
| 305 | #578 | — | 9 | 2 | no | — |
| 306 | #578 | — | 9 | 2 | no | — |
| 307 | #578 | — | 9 | 4 | no | — |
| 308 | #578 | — | 9 | 4 | no | — |
| 309 | C2×#137 | — | 9 | 2 | no | — |
| 310 | C2×#137 | — | 9 | 4 | no | — |
| 311 | C2×#135 | — | 9 | 2 | no | — |
| 312 | C2×#135 | — | 9 | 1 | no | — |
| 313 | C22×Q16 | — | 9 | 2 | no | — |
| 314 | C22×Q16 | — | 9 | 1 | no | — |
| 315 | C2×#131 | — | 9 | 1 | no | — |
| 316 | C3×#41 | — | 2 | 2 | no | — |
| 317 | C3×#41 | — | 3 | 2 | no | — |
| 318 | C3×#41 | — | 3 | 8 | no | — |
| 319 | C3×#41 | — | 6 | 4 | no | — |
| 320 | C3×#41 | — | 6 | 8 | no | — |
| 321 | C3×#41 | C22×D3 | 1 | 4 | yes | — |
| 322 | C2×C3×Q8 | — | 3 | 8 | no | — |
| 323 | C2×C3×Q8 | — | 3 | 4 | no | — |
| 324 | C2×C3×Q8 | — | 6 | 4 | no | — |
| 325 | #239 | — | 3 | 2 | no | — |
| 326 | #239 | — | 3 | 4 | no | — |
| 327 | #239 | — | 3 | 8 | no | — |
| 328 | #239 | — | 6 | 2 | no | — |
| 329 | #239 | — | 6 | 8 | no | — |
| 330 | #239 | — | 6 | 4 | no | — |
| 331 | D3×Q8 | — | 3 | 2 | no | — |
| 332 | D3×Q8 | — | 3 | 4 | no | — |
| 333 | D3×Q8 | — | 3 | 8 | no | — |
| 334 | D3×Q8 | — | 3 | 8 | no | — |
| 335 | D3×Q8 | — | 3 | 8 | no | — |
| 336 | D3×Q8 | — | 6 | 2 | no | — |
| 337 | D3×Q8 | — | 6 | 8 | no | — |
| 338 | D3×Q8 | — | 6 | 4 | no | — |
| 339 | D3×Q8 | — | 6 | 8 | no | — |
| 340 | D3×Q8 | — | 6 | 4 | no | — |
| 341 | D3×Q8 | — | 6 | 4 | no | — |
| 342 | D3×Q8 | — | 6 | 8 | no | — |
| 343 | D3×Q8 | — | 6 | 4 | no | — |
| 344 | D3×Q8 | C22×D3 | 1 | 8 | yes | — |
| 345 | #237 | — | 2 | 8 | no | — |
| 346 | #237 | — | 3 | 4 | no | — |
| 347 | #237 | — | 3 | 4 | no | — |
| 348 | #237 | — | 3 | 2 | no | — |
| 349 | #237 | — | 6 | 2 | no | — |
| 350 | #237 | — | 6 | 4 | no | — |
| 351 | #237 | — | 6 | 8 | no | — |
| 352 | #237 | — | 6 | 8 | no | — |
| 353 | #237 | — | 6 | 8 | no | — |
| 354 | #237 | — | 6 | 4 | no | — |
| 355 | #237 | — | 6 | 8 | no | — |
| 356 | #237 | — | 12 | 2 | no | — |
| 357 | #237 | C22×D3 | 1 | 8 | yes | — |
| 358 | D3×D4 | — | 3 | 4 | no | — |
| 359 | D3×D4 | — | 3 | 4 | no | — |
| 360 | D3×D4 | — | 3 | 2 | no | — |
| 361 | D3×D4 | — | 6 | 2 | no | — |
| 362 | D3×D4 | — | 6 | 8 | no | — |
| 363 | D3×D4 | — | 6 | 4 | no | — |
| 364 | D3×D4 | — | 12 | 2 | no | — |
| 365 | #235 | — | 2 | 4 | no | — |
| 366 | #235 | — | 3 | 4 | no | — |
| 367 | #235 | — | 3 | 4 | no | — |
| 368 | #235 | — | 3 | 8 | no | — |
| 369 | #235 | — | 6 | 2 | no | — |
| 370 | #235 | — | 6 | 8 | no | — |
| 371 | #235 | — | 6 | 8 | no | — |
| 372 | #235 | — | 6 | 8 | no | — |
| 373 | #235 | — | 6 | 4 | no | — |
| 374 | #235 | — | 6 | 8 | no | — |
| 375 | #235 | — | 6 | 8 | no | — |
| 376 | #235 | — | 12 | 2 | no | — |
| 377 | #235 | C22×D3 | 1 | 2 | yes | — |
| 378 | C2×C4×D3 | — | 3 | 2 | no | — |
| 379 | C2×C4×D3 | — | 3 | 4 | no | — |
| 380 | C2×C4×D3 | — | 6 | 1 | no | — |
| 381 | C2×C4×D3 | — | 6 | 8 | no | — |
| 382 | C2×C4×D3 | — | 6 | 8 | no | — |
| 383 | C2×C4×D3 | — | 6 | 4 | no | — |
| 384 | C2×C4×D3 | — | 6 | 4 | no | — |
| 385 | C2×C4×D3 | — | 12 | 2 | no | — |
| 386 | C2×Dic6 | — | 2 | 4 | no | — |
| 387 | C2×Dic6 | — | 3 | 8 | no | — |
| 388 | C2×Dic6 | — | 6 | 8 | no | — |
| 389 | C2×Dic6 | — | 6 | 8 | no | — |
| 390 | C2×Dic6 | — | 6 | 4 | no | — |
| 391 | C2×Dic6 | C22×D3 | 1 | 4 | yes | — |
| 392 | C3×Q16 | — | 2 | 1 | no | — |
| 393 | C3×Q16 | — | 3 | 8 | no | — |
| 394 | C3×Q16 | — | 3 | 4 | no | — |
| 395 | C3×Q16 | — | 3 | 4 | no | — |
| 396 | C3×Q16 | C22×D3 | 1 | 2 | yes | — |
| 397 | C3×SD16 | — | 2 | 2 | no | — |
| 398 | C3×SD16 | — | 3 | 8 | no | — |
| 399 | C3×SD16 | C22×D3 | 1 | 4 | yes | — |
| 400 | C3×D8 | — | 2 | 1 | no | — |
| 401 | C3×D8 | C22×D3 | 1 | 2 | yes | — |
| 402 | C3×M16 | — | 3 | 2 | no | — |
| 403 | C3×M16 | — | 3 | 4 | no | — |
| 404 | C2×C3×C8 | — | 2 | 1 | no | — |
| 405 | C2×C3×C8 | — | 3 | 4 | no | — |
| 406 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 407 | #216 | — | 3 | 4 | no | — |
| 408 | #216 | — | 3 | 8 | no | — |
| 409 | #216 | — | 3 | 8 | no | — |
| 410 | #216 | — | 3 | 8 | no | — |
| 411 | #216 | — | 6 | 2 | no | — |
| 412 | #216 | C22×D3 | 1 | 8 | yes | — |
| 413 | #215 | — | 3 | 4 | no | — |
| 414 | #215 | — | 3 | 8 | no | — |
| 415 | #215 | — | 6 | 2 | no | — |
| 416 | #214 | — | 3 | 4 | no | — |
| 417 | #214 | — | 6 | 2 | no | — |
| 418 | #214 | C22×D3 | 1 | 8 | yes | — |
| 419 | #213 | — | 3 | 4 | no | — |
| 420 | #213 | — | 6 | 2 | no | — |
| 421 | #208 | — | 3 | 4 | no | — |
| 422 | #208 | C22×D3 | 1 | 2 | yes | — |
| 423 | C2×C3⋊C8 | — | 3 | 2 | no | — |
| 424 | C2×C3⋊C8 | — | 3 | 4 | no | — |
| 425 | C2×C3⋊C8 | — | 6 | 1 | no | — |
| 426 | Dic12 | — | 3 | 8 | no | — |
| 427 | Dic12 | — | 3 | 2 | no | — |
| 428 | Dic12 | — | 6 | 1 | no | — |
| 429 | Dic12 | C22×D3 | 1 | 4 | yes | — |
| 430 | Dic12 | C22×D3 | 1 | 4 | yes | — |
| 431 | D24 | — | 3 | 2 | no | — |
| 432 | D24 | — | 6 | 1 | no | — |
| 433 | #204 | — | 3 | 8 | no | — |
| 434 | #204 | — | 3 | 4 | no | — |
| 435 | #204 | — | 6 | 2 | no | — |
| 436 | ΓL(1,𝔽25) | — | 3 | 4 | no | — |
| 437 | ΓL(1,𝔽25) | — | 3 | 4 | no | — |
| 438 | ΓL(1,𝔽25) | C22×D3 | 1 | 4 | yes | — |
| 439 | D3×C8 | — | 3 | 4 | no | — |
| 440 | D3×C8 | — | 3 | 2 | no | — |
| 441 | D3×C8 | — | 3 | 2 | no | — |
| 442 | D3×C8 | — | 3 | 2 | no | — |
| 443 | D3×C8 | — | 3 | 2 | no | — |
| 444 | D3×C8 | — | 3 | 4 | no | — |
| 445 | D3×C8 | — | 6 | 1 | no | — |
| 446 | D3×C8 | — | 6 | 1 | no | — |
| 447 | D3×C8 | — | 6 | 1 | no | — |
| 448 | D3×C8 | — | 6 | 1 | no | — |
| 449 | D3×C8 | C22×D3 | 1 | 4 | yes | — |
| 450 | C22×C32 | — | 2 | 2 | no | — |
| 451 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 452 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 453 | C2×C3⋊D3 | — | 2 | 2 | no | — |
| 454 | C2×C3⋊D3 | — | 4 | 4 | no | — |
| 455 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 456 | C2×C3⋊D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 457 | C2×C3×D3 | C22×D4 | 1 | 4 | yes | — |
| 458 | D32 | — | 2 | 4 | no | — |
| 459 | C32×C4 | — | 2 | 2 | no | — |
| 460 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 461 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 462 | C3⋊Dic3 | — | 2 | 2 | no | — |
| 463 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 464 | C3⋊Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 465 | C3×Dic3 | — | 2 | 8 | no | — |
| 466 | C3×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 467 | 2−1+4 | — | 3 | 4 | no | — |
| 468 | 2−1+4 | — | 9 | 4 | no | — |
| 469 | 2−1+4 | — | 9 | 4 | no | — |
| 470 | 2−1+4 | — | 9 | 4 | no | — |
| 471 | 2−1+4 | — | 18 | 4 | no | — |
| 472 | 2−1+4 | — | 18 | 4 | no | — |
| 473 | C2×#41 | — | 9 | 1 | no | — |
| 474 | C2×#41 | — | 9 | 4 | no | — |
| 475 | C2×#41 | — | 9 | 2 | no | — |
| 476 | C2×#41 | — | 18 | 2 | no | — |
| 477 | C2×#41 | — | 18 | 4 | no | — |
| 478 | C22×Q8 | — | 9 | 4 | no | — |
| 479 | C22×Q8 | — | 9 | 2 | no | — |
| 480 | C22×Q8 | — | 18 | 2 | no | — |
| 481 | #137 | — | 3 | 4 | no | — |
| 482 | #137 | — | 3 | 8 | no | — |
| 483 | #137 | — | 9 | 8 | no | — |
| 484 | #137 | — | 9 | 4 | no | — |
| 485 | #137 | — | 9 | 4 | no | — |
| 486 | #137 | — | 9 | 8 | no | — |
| 487 | #137 | — | 9 | 4 | no | — |
| 488 | #137 | — | 9 | 8 | no | — |
| 489 | #135 | — | 3 | 4 | no | — |
| 490 | #135 | — | 9 | 4 | no | — |
| 491 | #135 | — | 9 | 8 | no | — |
| 492 | #135 | — | 9 | 2 | no | — |
| 493 | #135 | — | 9 | 1 | no | — |
| 494 | #135 | — | 9 | 2 | no | — |
| 495 | #135 | — | 9 | 1 | no | — |
| 496 | #135 | — | 9 | 1 | no | — |
| 497 | #135 | D32 | 1 | 1 | yes | characteristic, complemented |
| 498 | C2×Q16 | — | 3 | 4 | no | — |
| 499 | C2×Q16 | — | 3 | 2 | no | — |
| 500 | C2×Q16 | — | 9 | 4 | no | — |
| 501 | C2×Q16 | — | 9 | 2 | no | — |
| 502 | C2×Q16 | — | 9 | 4 | no | — |
| 503 | C2×Q16 | — | 9 | 2 | no | — |
| 504 | C2×Q16 | — | 9 | 2 | no | — |
| 505 | C2×Q16 | — | 9 | 2 | no | — |
| 506 | C2×Q16 | — | 9 | 8 | no | — |
| 507 | C2×Q16 | — | 9 | 2 | no | — |
| 508 | C2×Q16 | — | 9 | 1 | no | — |
| 509 | C2×SD16 | — | 9 | 4 | no | — |
| 510 | C2×SD16 | — | 9 | 2 | no | — |
| 511 | C2×D8 | — | 9 | 1 | no | — |
| 512 | #131 | — | 3 | 2 | no | — |
| 513 | #131 | — | 9 | 2 | no | — |
| 514 | #131 | — | 9 | 2 | no | — |
| 515 | #131 | — | 9 | 2 | no | — |
| 516 | C2×M16 | — | 9 | 1 | no | — |
| 517 | C2×M16 | — | 9 | 2 | no | — |
| 518 | C22×C8 | — | 9 | 2 | no | — |
| 519 | C22×C8 | — | 9 | 1 | no | — |
| 520 | C22×D3 | — | 3 | 2 | no | — |
| 521 | C22×D3 | — | 3 | 4 | no | — |
| 522 | C22×D3 | — | 6 | 1 | no | — |
| 523 | C22×D3 | — | 6 | 4 | no | — |
| 524 | C22×D3 | — | 12 | 2 | no | — |
| 525 | C3×Q8 | — | 2 | 2 | no | — |
| 526 | C3×Q8 | — | 3 | 2 | no | — |
| 527 | C3×Q8 | — | 3 | 8 | no | — |
| 528 | C3×Q8 | — | 6 | 8 | no | — |
| 529 | C3×Q8 | — | 6 | 4 | no | — |
| 530 | C3×Q8 | C23×D3 | 1 | 4 | yes | — |
| 531 | C3×D4 | — | 2 | 4 | no | — |
| 532 | C3×D4 | — | 2 | 2 | no | — |
| 533 | C3×D4 | — | 3 | 4 | no | — |
| 534 | C3×D4 | — | 3 | 2 | no | — |
| 535 | C3×D4 | — | 4 | 2 | no | — |
| 536 | C3×D4 | — | 6 | 8 | no | — |
| 537 | C3×D4 | C23×D3 | 1 | 4 | yes | — |
| 538 | C2×C3×C4 | — | 2 | 4 | no | — |
| 539 | C2×C3×C4 | — | 2 | 1 | no | — |
| 540 | C2×C3×C4 | — | 3 | 4 | no | — |
| 541 | C2×C3×C4 | — | 4 | 2 | no | — |
| 542 | C2×C3×C4 | — | 6 | 8 | no | — |
| 543 | C2×C3×C4 | — | 6 | 8 | no | — |
| 544 | C2×C3×C4 | — | 6 | 4 | no | — |
| 545 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 546 | #67 | — | 2 | 8 | no | — |
| 547 | #67 | — | 3 | 4 | no | — |
| 548 | #67 | — | 3 | 4 | no | — |
| 549 | #67 | — | 6 | 8 | no | — |
| 550 | #67 | — | 6 | 4 | no | — |
| 551 | #67 | — | 6 | 4 | no | — |
| 552 | #67 | — | 6 | 4 | no | — |
| 553 | #67 | — | 12 | 2 | no | — |
| 554 | #67 | — | 12 | 2 | no | — |
| 555 | #67 | — | 12 | 2 | no | — |
| 556 | #67 | D3×D4 | 1 | 4 | yes | — |
| 557 | C2×Dic3 | — | 2 | 4 | no | — |
| 558 | C2×Dic3 | — | 2 | 8 | no | — |
| 559 | C2×Dic3 | — | 3 | 2 | no | — |
| 560 | C2×Dic3 | — | 3 | 4 | no | — |
| 561 | C2×Dic3 | — | 6 | 1 | no | — |
| 562 | C2×Dic3 | — | 6 | 8 | no | — |
| 563 | C2×Dic3 | — | 6 | 4 | no | — |
| 564 | C2×Dic3 | — | 12 | 2 | no | — |
| 565 | D12 | — | 3 | 4 | no | — |
| 566 | D12 | — | 3 | 4 | no | — |
| 567 | D12 | — | 6 | 2 | no | — |
| 568 | D12 | — | 6 | 4 | no | — |
| 569 | D12 | — | 6 | 8 | no | — |
| 570 | D12 | — | 12 | 2 | no | — |
| 571 | D12 | D3×D4 | 1 | 2 | yes | — |
| 572 | C4×D3 | — | 2 | 8 | no | — |
| 573 | C4×D3 | — | 3 | 4 | no | — |
| 574 | C4×D3 | — | 3 | 2 | no | — |
| 575 | C4×D3 | — | 3 | 2 | no | — |
| 576 | C4×D3 | — | 3 | 2 | no | — |
| 577 | C4×D3 | — | 3 | 2 | no | — |
| 578 | C4×D3 | — | 3 | 4 | no | — |
| 579 | C4×D3 | — | 6 | 1 | no | — |
| 580 | C4×D3 | — | 6 | 1 | no | — |
| 581 | C4×D3 | — | 6 | 1 | no | — |
| 582 | C4×D3 | — | 6 | 1 | no | — |
| 583 | C4×D3 | — | 6 | 8 | no | — |
| 584 | C4×D3 | — | 6 | 8 | no | — |
| 585 | C4×D3 | — | 6 | 8 | no | — |
| 586 | C4×D3 | — | 6 | 4 | no | — |
| 587 | C4×D3 | — | 6 | 4 | no | — |
| 588 | C4×D3 | — | 6 | 8 | no | — |
| 589 | C4×D3 | — | 6 | 4 | no | — |
| 590 | C4×D3 | — | 6 | 8 | no | — |
| 591 | C4×D3 | — | 12 | 2 | no | — |
| 592 | C4×D3 | — | 12 | 2 | no | — |
| 593 | C4×D3 | — | 12 | 2 | no | — |
| 594 | C4×D3 | C23×D3 | 1 | 4 | yes | — |
| 595 | Dic6 | — | 2 | 4 | no | — |
| 596 | Dic6 | — | 2 | 8 | no | — |
| 597 | Dic6 | — | 3 | 4 | no | — |
| 598 | Dic6 | — | 3 | 4 | no | — |
| 599 | Dic6 | — | 6 | 2 | no | — |
| 600 | Dic6 | — | 6 | 8 | no | — |
| 601 | Dic6 | — | 6 | 8 | no | — |
| 602 | Dic6 | — | 6 | 8 | no | — |
| 603 | Dic6 | — | 6 | 4 | no | — |
| 604 | Dic6 | — | 6 | 8 | no | — |
| 605 | Dic6 | — | 12 | 2 | no | — |
| 606 | Dic6 | D3×D4 | 1 | 2 | yes | — |
| 607 | Dic6 | C23×D3 | 1 | 8 | yes | — |
| 608 | C3×C8 | — | 2 | 1 | no | — |
| 609 | C3×C8 | — | 2 | 1 | no | — |
| 610 | C3×C8 | — | 3 | 4 | no | — |
| 611 | C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 612 | C3×C8 | C23×D3 | 1 | 2 | yes | — |
| 613 | C3⋊C8 | — | 3 | 2 | no | — |
| 614 | C3⋊C8 | — | 3 | 2 | no | — |
| 615 | C3⋊C8 | — | 6 | 1 | no | — |
| 616 | C3⋊C8 | — | 6 | 1 | no | — |
| 617 | C3⋊C8 | C23×D3 | 1 | 4 | yes | — |
| 618 | C2×C32 | — | 2 | 1 | no | — |
| 619 | C2×C32 | — | 4 | 2 | no | — |
| 620 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 621 | C3⋊D3 | — | 2 | 1 | no | — |
| 622 | C3⋊D3 | — | 4 | 2 | no | — |
| 623 | C3⋊D3 | #578 | 1 | 2 | yes | complemented |
| 624 | C3×D3 | — | 2 | 4 | no | — |
| 625 | #41 | — | 3 | 2 | no | — |
| 626 | #41 | — | 3 | 8 | no | — |
| 627 | #41 | — | 6 | 4 | no | — |
| 628 | #41 | — | 6 | 8 | no | — |
| 629 | #41 | — | 9 | 2 | no | — |
| 630 | #41 | — | 9 | 8 | no | — |
| 631 | #41 | — | 9 | 2 | no | — |
| 632 | #41 | — | 9 | 2 | no | — |
| 633 | #41 | — | 9 | 2 | no | — |
| 634 | #41 | — | 9 | 2 | no | — |
| 635 | #41 | — | 9 | 2 | no | — |
| 636 | #41 | — | 18 | 2 | no | — |
| 637 | #41 | — | 18 | 4 | no | — |
| 638 | #41 | — | 18 | 8 | no | — |
| 639 | #41 | — | 18 | 8 | no | — |
| 640 | #41 | — | 18 | 8 | no | — |
| 641 | #41 | — | 18 | 8 | no | — |
| 642 | #41 | — | 18 | 2 | no | — |
| 643 | #41 | — | 18 | 4 | no | — |
| 644 | #41 | — | 18 | 4 | no | — |
| 645 | #41 | C2×D32 | 1 | 2 | yes | — |
| 646 | C2×Q8 | — | 3 | 8 | no | — |
| 647 | C2×Q8 | — | 3 | 4 | no | — |
| 648 | C2×Q8 | — | 6 | 4 | no | — |
| 649 | C2×Q8 | — | 9 | 8 | no | — |
| 650 | C2×Q8 | — | 9 | 1 | no | — |
| 651 | C2×Q8 | — | 9 | 4 | no | — |
| 652 | C2×Q8 | — | 9 | 4 | no | — |
| 653 | C2×Q8 | — | 9 | 2 | no | — |
| 654 | C2×Q8 | — | 18 | 2 | no | — |
| 655 | C2×Q8 | — | 18 | 4 | no | — |
| 656 | C2×Q8 | — | 18 | 8 | no | — |
| 657 | C2×Q8 | — | 18 | 4 | no | — |
| 658 | C2×Q8 | — | 18 | 2 | no | — |
| 659 | C2×Q8 | — | 18 | 2 | no | — |
| 660 | C2×Q8 | — | 18 | 4 | no | — |
| 661 | C2×Q8 | — | 18 | 4 | no | — |
| 662 | C2×D4 | — | 9 | 2 | no | — |
| 663 | C2×D4 | — | 9 | 1 | no | — |
| 664 | C2×D4 | — | 9 | 2 | no | — |
| 665 | C2×D4 | — | 18 | 2 | no | — |
| 666 | C2×D4 | — | 18 | 4 | no | — |
| 667 | C22×C4 | — | 9 | 2 | no | — |
| 668 | C22×C4 | — | 9 | 1 | no | — |
| 669 | C22×C4 | — | 18 | 2 | no | — |
| 670 | C22×C4 | — | 18 | 4 | no | — |
| 671 | C22×C4 | — | 18 | 4 | no | — |
| 672 | C22×C4 | — | 18 | 2 | no | — |
| 673 | Q16 | — | 3 | 8 | no | — |
| 674 | Q16 | — | 3 | 4 | no | — |
| 675 | Q16 | — | 3 | 4 | no | — |
| 676 | Q16 | — | 9 | 8 | no | — |
| 677 | Q16 | — | 9 | 4 | no | — |
| 678 | Q16 | — | 9 | 4 | no | — |
| 679 | Q16 | — | 9 | 2 | no | — |
| 680 | Q16 | — | 9 | 1 | no | — |
| 681 | Q16 | C2×D32 | 1 | 1 | yes | characteristic |
| 682 | SD16 | — | 3 | 8 | no | — |
| 683 | SD16 | — | 9 | 8 | no | — |
| 684 | SD16 | — | 9 | 2 | no | — |
| 685 | SD16 | — | 9 | 2 | no | — |
| 686 | SD16 | — | 9 | 2 | no | — |
| 687 | SD16 | C2×D32 | 1 | 2 | yes | — |
| 688 | D8 | — | 9 | 2 | no | — |
| 689 | D8 | — | 9 | 1 | no | — |
| 690 | D8 | C2×D32 | 1 | 1 | yes | characteristic |
| 691 | M16 | — | 3 | 2 | no | — |
| 692 | M16 | — | 3 | 4 | no | — |
| 693 | M16 | — | 9 | 2 | no | — |
| 694 | M16 | — | 9 | 4 | no | — |
| 695 | C2×C8 | — | 3 | 4 | no | — |
| 696 | C2×C8 | — | 9 | 2 | no | — |
| 697 | C2×C8 | — | 9 | 4 | no | — |
| 698 | C2×C8 | — | 9 | 1 | no | — |
| 699 | C2×C8 | — | 9 | 1 | no | — |
| 700 | C2×C8 | — | 9 | 1 | no | — |
| 701 | C2×C8 | — | 9 | 1 | no | — |
| 702 | C2×C8 | — | 9 | 1 | no | — |
| 703 | C2×C8 | C2×D32 | 1 | 1 | yes | characteristic |
| 704 | C22×C3 | — | 2 | 4 | no | — |
| 705 | C22×C3 | — | 2 | 1 | no | — |
| 706 | C22×C3 | — | 3 | 4 | no | — |
| 707 | C22×C3 | — | 4 | 2 | no | — |
| 708 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 709 | C2×D3 | — | 3 | 2 | no | — |
| 710 | C2×D3 | — | 3 | 2 | no | — |
| 711 | C2×D3 | — | 6 | 1 | no | — |
| 712 | C2×D3 | — | 6 | 1 | no | — |
| 713 | C2×D3 | — | 6 | 8 | no | — |
| 714 | C2×D3 | — | 6 | 4 | no | — |
| 715 | C2×D3 | — | 6 | 4 | no | — |
| 716 | C2×D3 | — | 12 | 2 | no | — |
| 717 | C2×D3 | — | 12 | 2 | no | — |
| 718 | C2×D3 | — | 12 | 8 | no | — |
| 719 | C2×D3 | — | 24 | 4 | no | — |
| 720 | C2×D3 | C2×D3×D4 | 1 | 4 | yes | — |
| 721 | C3×C4 | — | 2 | 4 | no | — |
| 722 | C3×C4 | — | 2 | 1 | no | — |
| 723 | C3×C4 | — | 2 | 1 | no | — |
| 724 | C3×C4 | — | 3 | 4 | no | — |
| 725 | C3×C4 | — | 4 | 2 | no | — |
| 726 | C3×C4 | — | 6 | 8 | no | — |
| 727 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 728 | C3×C4 | C24×D3 | 1 | 2 | yes | — |
| 729 | Dic3 | — | 2 | 8 | no | — |
| 730 | Dic3 | — | 3 | 2 | no | — |
| 731 | Dic3 | — | 3 | 2 | no | — |
| 732 | Dic3 | — | 6 | 1 | no | — |
| 733 | Dic3 | — | 6 | 1 | no | — |
| 734 | Dic3 | — | 6 | 4 | no | — |
| 735 | Dic3 | — | 12 | 2 | no | — |
| 736 | Dic3 | C2×D3×D4 | 1 | 4 | yes | — |
| 737 | C32 | C2×#578 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 738 | C23 | — | 9 | 2 | no | — |
| 739 | C23 | — | 9 | 1 | no | — |
| 740 | C23 | — | 18 | 2 | no | — |
| 741 | Q8 | — | 3 | 2 | no | — |
| 742 | Q8 | — | 3 | 8 | no | — |
| 743 | Q8 | — | 6 | 8 | no | — |
| 744 | Q8 | — | 6 | 4 | no | — |
| 745 | Q8 | — | 9 | 2 | no | — |
| 746 | Q8 | — | 9 | 2 | no | — |
| 747 | Q8 | — | 18 | 2 | no | — |
| 748 | Q8 | — | 18 | 8 | no | — |
| 749 | Q8 | — | 18 | 4 | no | — |
| 750 | Q8 | — | 18 | 4 | no | — |
| 751 | Q8 | C22×D32 | 1 | 2 | yes | — |
| 752 | D4 | — | 2 | 2 | no | — |
| 753 | D4 | — | 3 | 4 | no | — |
| 754 | D4 | — | 3 | 2 | no | — |
| 755 | D4 | — | 6 | 8 | no | — |
| 756 | D4 | — | 9 | 4 | no | — |
| 757 | D4 | — | 9 | 2 | no | — |
| 758 | D4 | — | 9 | 2 | no | — |
| 759 | D4 | — | 18 | 2 | no | — |
| 760 | D4 | — | 18 | 8 | no | — |
| 761 | D4 | — | 18 | 2 | no | — |
| 762 | D4 | — | 18 | 2 | no | — |
| 763 | D4 | — | 18 | 2 | no | — |
| 764 | D4 | C22×D32 | 1 | 2 | yes | — |
| 765 | C2×C4 | — | 2 | 2 | no | — |
| 766 | C2×C4 | — | 3 | 4 | no | — |
| 767 | C2×C4 | — | 6 | 8 | no | — |
| 768 | C2×C4 | — | 6 | 8 | no | — |
| 769 | C2×C4 | — | 6 | 4 | no | — |
| 770 | C2×C4 | — | 9 | 2 | no | — |
| 771 | C2×C4 | — | 9 | 4 | no | — |
| 772 | C2×C4 | — | 9 | 1 | no | — |
| 773 | C2×C4 | — | 9 | 1 | no | — |
| 774 | C2×C4 | — | 9 | 1 | no | — |
| 775 | C2×C4 | — | 9 | 1 | no | — |
| 776 | C2×C4 | — | 9 | 1 | no | — |
| 777 | C2×C4 | — | 18 | 2 | no | — |
| 778 | C2×C4 | — | 18 | 2 | no | — |
| 779 | C2×C4 | — | 18 | 8 | no | — |
| 780 | C2×C4 | — | 18 | 4 | no | — |
| 781 | C2×C4 | — | 18 | 4 | no | — |
| 782 | C2×C4 | — | 18 | 8 | no | — |
| 783 | C2×C4 | — | 18 | 2 | no | — |
| 784 | C2×C4 | — | 18 | 2 | no | — |
| 785 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 786 | C8 | — | 3 | 4 | no | — |
| 787 | C8 | — | 9 | 1 | no | — |
| 788 | C8 | — | 9 | 1 | no | — |
| 789 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 790 | C8 | C22×D32 | 1 | 1 | yes | characteristic |
| 791 | C2×C3 | — | 2 | 2 | no | — |
| 792 | C2×C3 | — | 2 | 1 | no | — |
| 793 | C2×C3 | — | 4 | 1 | no | — |
| 794 | C2×C3 | — | 4 | 4 | no | — |
| 795 | C2×C3 | — | 6 | 4 | no | — |
| 796 | C2×C3 | — | 8 | 2 | no | — |
| 797 | C2×C3 | C22×D3×D4 | 1 | 2 | yes | — |
| 798 | D3 | — | 2 | 4 | no | — |
| 799 | D3 | — | 3 | 4 | no | — |
| 800 | D3 | — | 6 | 2 | no | — |
| 801 | D3 | — | 6 | 2 | no | — |
| 802 | D3 | — | 12 | 1 | no | — |
| 803 | D3 | — | 12 | 4 | no | — |
| 804 | D3 | — | 24 | 2 | no | — |
| 805 | C22 | — | 2 | 2 | no | — |
| 806 | C22 | — | 3 | 4 | no | — |
| 807 | C22 | — | 9 | 1 | no | — |
| 808 | C22 | — | 9 | 1 | no | — |
| 809 | C22 | — | 18 | 2 | no | — |
| 810 | C22 | — | 18 | 4 | no | — |
| 811 | C22 | — | 18 | 2 | no | — |
| 812 | C22 | — | 36 | 4 | no | — |
| 813 | C22 | D32×D4 | 1 | 1 | yes | characteristic |
| 814 | C4 | — | 2 | 2 | no | — |
| 815 | C4 | — | 3 | 4 | no | — |
| 816 | C4 | — | 6 | 8 | no | — |
| 817 | C4 | — | 9 | 1 | no | — |
| 818 | C4 | — | 9 | 1 | no | — |
| 819 | C4 | — | 18 | 2 | no | — |
| 820 | C4 | D32×D4 | 1 | 1 | yes | characteristic |
| 821 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 822 | C3 | — | 2 | 1 | no | — |
| 823 | C3 | D3×#578 | 1 | 2 | yes | complemented |
| 824 | C2 | — | 2 | 1 | no | — |
| 825 | C2 | — | 4 | 2 | no | — |
| 826 | C2 | — | 6 | 4 | no | — |
| 827 | C2 | — | 9 | 2 | no | — |
| 828 | C2 | — | 18 | 1 | no | — |
| 829 | C2 | — | 36 | 2 | no | — |
| 830 | C2 | C2×D32×D4 | 1 | 1 | yes | characteristic |
| subgroup | G/H | |
|---|---|---|
| center | C2 | C2×D32×D4 |
| commutator, cosocle | C32×C4 | C25 |
| Frattini | C4 | C23×D32 |
| Fitting | C32×#135 | C22 |
| socle | C2×C32 | C23×D4 |
| hypercenter | #135 | D32 |
| hypocenter | C32 | C2×#578 |
| LCS | G ▷ C32×C4 ▷ C2×C32 ▷ C32 | |
| UCS | C1 ◁ C2 ◁ C2×C4 ◁ #135 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596694 | C2 | semidirect |
| 2. C3⋊D3×#135 | C2 | semidirect |
| 3. C3×#5771 | C2 | semidirect |
| 4. #10595468 | C2 | semidirect |
| 5. #10595465 | C2 | semidirect |
| 6. #10594765 | C2 | semidirect |
| 7. D32×Q16 | C2 | semidirect |
| 8. #10594752 | C2 | semidirect |
| 9. #10594742 | C2 | semidirect |
| 10. #10594737 | C2 | semidirect |
| 11. #10594730 | C2 | semidirect |
| 12. C2×#63802 | C2 | semidirect |
| 13. #10594691 | C2 | semidirect |
| 14. #10594669 | C2 | semidirect |
| 17. C3×#1010 | C22 | semidirect |
| 19. #64316 | C22 | semidirect |
| 23. #64309 | C22 | semidirect |
| 29. #64297 | C22 | semidirect |
| 30. C32×#135 | C22 | semidirect |
| 31. #64159 | C22 | semidirect |
| 32. #64128 | C22 | semidirect |
| 34. #64125 | C22 | semidirect |
| 36. #64121 | C22 | semidirect |
| 38. #64113 | C22 | semidirect |
| 40. C3×#951 | C22 | semidirect |
| 41. C3×D3×Q16 | C22 | semidirect |
| 42. C3×#915 | C22 | semidirect |
| 43. C3×#912 | C22 | semidirect |
| 44. C2×C3×Dic12 | C22 | semidirect |
| 45. C3×#901 | C22 | semidirect |
| 46. #63948 | C22 | semidirect |
| 47. #63945 | C22 | semidirect |
| 49. D3×#216 | C22 | semidirect |
| 50. #63935 | C22 | semidirect |
| 51. #63931 | C22 | semidirect |
| 53. #63929 | C22 | semidirect |
| 54. C2×#3718 | C22 | semidirect |
| 55. #63833 | C22 | semidirect |
| 57. #63815 | C22 | semidirect |
| 58. #63808 | C22 | semidirect |
| 59. #63805 | C22 | semidirect |
| 60. #63803 | C22 | semidirect |
| 63. #63802 | C22 | semidirect |
| 64. #63802 | C22 | semidirect |
| 65. #63801 | C22 | semidirect |
| 66. D3×Dic12 | C22 | semidirect |
| 77. #5771 | D3 | semidirect |
| 172. #1010 | C2×D3 | semidirect |
| 189. C3×#135 | C2×D3 | semidirect |
| 194. #951 | C2×D3 | semidirect |
| 218. D3×Q16 | C2×D3 | semidirect |
| 224. #915 | C2×D3 | semidirect |
| 230. #912 | C2×D3 | semidirect |
| 240. C2×Dic12 | C2×D3 | semidirect |
| 245. #901 | C2×D3 | semidirect |
| 497. #135 | D32 | semidirect |
| 623. C3⋊D3 | #578 | semidirect |
| 737. C32 | C2×#578 | semidirect |
| 823. C3 | D3×#578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596694 | 2 |
| C3⋊D3×#135 | 2 |
| C3×#5771 | 2 |
| #10595468 | 2 |
| #10595465 | 2 |
| #10594765 | 2 |
| D32×Q16 | 2 |
| #10594752 | 2 |
| #10594742 | 2 |
| #10594737 | 2 |
| #10594730 | 2 |
| C2×#63802 | 2 |
| #10594691 | 2 |
| #10594669 | 2 |
| D3×#578 | 3 |