Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
2979 conjugacy classes of subgroups.
The subgroup lattice has 802 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #10596669 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #10596219 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C3×#5748 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×C3×#907 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#63829 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10594721 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #10594715 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #10594714 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #10594713 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #10594676 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | D3×#904 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #87199 | — | 3 | 1 | no | maximal |
| 13 | #87163 | — | 3 | 1 | no | maximal |
| 14 | C2×#3828 | C22 | 1 | 2 | yes | complemented |
| 15 | C2×C3×#235 | C22 | 1 | 1 | yes | characteristic |
| 16 | C2×C3×#235 | C22 | 1 | 2 | yes | complemented |
| 17 | #64330 | — | 2 | 4 | no | — |
| 18 | #64308 | C22 | 1 | 4 | yes | complemented |
| 19 | #64307 | — | 2 | 2 | no | — |
| 20 | #64307 | C22 | 1 | 4 | yes | complemented |
| 21 | #64306 | — | 2 | 4 | no | — |
| 22 | D3×#235 | — | 2 | 4 | no | — |
| 23 | D3×#235 | C22 | 1 | 8 | yes | complemented |
| 24 | #64298 | C22 | 1 | 4 | yes | complemented |
| 25 | #64297 | — | 2 | 2 | no | — |
| 26 | #64297 | C22 | 1 | 4 | yes | complemented |
| 27 | C2×C32×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | #64118 | C22 | 1 | 4 | yes | complemented |
| 29 | #64117 | C22 | 1 | 4 | yes | complemented |
| 30 | #64113 | C22 | 1 | 4 | yes | complemented |
| 31 | C22×C3×C3⋊C8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C3×#909 | C22 | 1 | 4 | yes | complemented |
| 33 | C3×#908 | C22 | 1 | 4 | yes | complemented |
| 34 | C3×#907 | C22 | 1 | 4 | yes | complemented |
| 35 | C3×#907 | C22 | 1 | 4 | yes | complemented |
| 36 | C3×#904 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×C3×ΓL(1,𝔽25) | C22 | 1 | 2 | yes | complemented |
| 38 | C2×C3×D3×C8 | C22 | 1 | 2 | yes | complemented |
| 39 | C2×#3719 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×#3717 | C22 | 1 | 2 | yes | complemented |
| 41 | #63829 | C22 | 1 | 4 | yes | complemented |
| 42 | #63829 | C22 | 1 | 4 | yes | complemented |
| 43 | #63829 | C22 | 1 | 4 | yes | complemented |
| 44 | #63829 | C22 | 1 | 4 | yes | complemented |
| 45 | C2×#3716 | C22 | 1 | 2 | yes | complemented |
| 46 | C2×#3714 | C22 | 1 | 2 | yes | complemented |
| 47 | #63808 | C22 | 1 | 4 | yes | complemented |
| 48 | #63807 | C22 | 1 | 4 | yes | complemented |
| 49 | #63806 | C22 | 1 | 8 | yes | complemented |
| 50 | #63801 | C22 | 1 | 8 | yes | complemented |
| 51 | #63800 | C22 | 1 | 8 | yes | complemented |
| 52 | D3×Dic12 | C22 | 1 | 4 | yes | complemented |
| 53 | #63795 | C22 | 1 | 8 | yes | complemented |
| 54 | #63794 | C22 | 1 | 8 | yes | complemented |
| 55 | D3×D24 | C22 | 1 | 4 | yes | complemented |
| 56 | D3×#204 | C22 | 1 | 8 | yes | complemented |
| 57 | #5964 | — | 3 | 2 | no | — |
| 58 | #5964 | — | 3 | 2 | no | — |
| 59 | C3×#575 | — | 3 | 1 | no | — |
| 60 | C2×C3×#131 | — | 3 | 1 | no | — |
| 61 | C2×#950 | — | 3 | 2 | no | — |
| 62 | #5779 | — | 3 | 4 | no | — |
| 63 | #5778 | — | 3 | 4 | no | — |
| 64 | #5775 | — | 3 | 4 | no | — |
| 65 | #5774 | — | 3 | 4 | no | — |
| 66 | #5768 | — | 3 | 4 | no | — |
| 67 | D3×#135 | — | 3 | 4 | no | — |
| 68 | #5753 | — | 3 | 4 | no | — |
| 69 | #5752 | — | 3 | 4 | no | — |
| 70 | #5751 | — | 3 | 4 | no | — |
| 71 | #5751 | — | 3 | 4 | no | — |
| 72 | #5748 | — | 3 | 1 | no | — |
| 73 | #5748 | — | 3 | 1 | no | — |
| 74 | #5748 | — | 3 | 4 | no | — |
| 75 | #5748 | — | 6 | 1 | no | — |
| 76 | #5748 | D3 | 1 | 1 | yes | characteristic, complemented |
| 77 | C2×#907 | D3 | 1 | 1 | yes | characteristic, complemented |
| 78 | C2×#904 | — | 3 | 2 | no | — |
| 79 | C2×#904 | — | 3 | 4 | no | — |
| 80 | C22×C32×C4 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×#638 | — | 2 | 2 | no | — |
| 82 | #3828 | — | 2 | 2 | no | — |
| 83 | #3828 | — | 2 | 2 | no | — |
| 84 | #3828 | C23 | 1 | 4 | yes | — |
| 85 | #3828 | C23 | 1 | 4 | yes | — |
| 86 | C2×C4⋊(C3⋊D3) | C23 | 1 | 2 | yes | — |
| 87 | C2×C4×C3⋊D3 | — | 2 | 2 | no | — |
| 88 | C2×#634 | C23 | 1 | 2 | yes | — |
| 89 | C2×C3×#67 | — | 2 | 2 | no | — |
| 90 | C2×C3×#67 | D4 | 1 | 2 | yes | — |
| 91 | C3×#235 | — | 2 | 2 | no | — |
| 92 | C3×#235 | — | 2 | 2 | no | — |
| 93 | C3×#235 | D4 | 1 | 4 | yes | — |
| 94 | C3×#235 | C23 | 1 | 4 | yes | — |
| 95 | C3×#235 | C23 | 1 | 4 | yes | — |
| 96 | C3×#235 | C23 | 1 | 4 | yes | — |
| 97 | C2×C3×D12 | D4 | 1 | 1 | yes | characteristic |
| 98 | C2×C3×D12 | C23 | 1 | 2 | yes | — |
| 99 | C2×C3×C4×D3 | — | 2 | 2 | no | — |
| 100 | C2×C3×C4×D3 | C23 | 1 | 2 | yes | — |
| 101 | C2×C3×Dic6 | D4 | 1 | 1 | yes | characteristic |
| 102 | C2×C3×Dic6 | C23 | 1 | 2 | yes | — |
| 103 | #3811 | — | 2 | 8 | no | — |
| 104 | D3×#67 | — | 2 | 8 | no | — |
| 105 | D3×#67 | — | 2 | 8 | no | — |
| 106 | #3805 | — | 2 | 8 | no | — |
| 107 | #3804 | — | 2 | 8 | no | — |
| 108 | #3804 | — | 2 | 8 | no | — |
| 109 | #3802 | — | 2 | 4 | no | — |
| 110 | D3×D12 | — | 2 | 4 | no | — |
| 111 | D3×D12 | C23 | 1 | 8 | yes | — |
| 112 | C4×D32 | — | 2 | 8 | no | — |
| 113 | #3799 | — | 2 | 4 | no | — |
| 114 | #3799 | C23 | 1 | 8 | yes | — |
| 115 | #3798 | — | 2 | 8 | no | — |
| 116 | #3797 | — | 2 | 4 | no | — |
| 117 | #3796 | — | 2 | 4 | no | — |
| 118 | #3796 | — | 2 | 4 | no | — |
| 119 | #3795 | — | 2 | 4 | no | — |
| 120 | #3795 | C23 | 1 | 8 | yes | — |
| 121 | D3×Dic6 | — | 2 | 4 | no | — |
| 122 | D3×Dic6 | C23 | 1 | 8 | yes | — |
| 123 | C32×M16 | C23 | 1 | 4 | yes | — |
| 124 | C2×C32×C8 | C23 | 1 | 2 | yes | — |
| 125 | #3746 | C23 | 1 | 4 | yes | — |
| 126 | #3745 | C23 | 1 | 4 | yes | — |
| 127 | #3744 | C23 | 1 | 8 | yes | — |
| 128 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×C3×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 131 | C2×C3×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 132 | C3×Dic12 | C23 | 1 | 4 | yes | — |
| 133 | C3×D24 | C23 | 1 | 4 | yes | — |
| 134 | C3×#204 | C23 | 1 | 8 | yes | — |
| 135 | C3×ΓL(1,𝔽25) | C23 | 1 | 8 | yes | — |
| 136 | C3×D3×C8 | C23 | 1 | 4 | yes | — |
| 137 | C3×D3×C8 | C23 | 1 | 4 | yes | — |
| 138 | #3719 | C23 | 1 | 4 | yes | — |
| 139 | #3719 | C23 | 1 | 4 | yes | — |
| 140 | #3717 | C23 | 1 | 4 | yes | — |
| 141 | #3717 | C23 | 1 | 4 | yes | — |
| 142 | #3716 | C23 | 1 | 4 | yes | — |
| 143 | #3716 | C23 | 1 | 4 | yes | — |
| 144 | #3714 | C23 | 1 | 4 | yes | — |
| 145 | #3714 | C23 | 1 | 4 | yes | — |
| 146 | #3584 | — | 9 | 1 | no | Sylow |
| 147 | C2×C3×#41 | — | 3 | 1 | no | — |
| 148 | C2×C3×#41 | — | 3 | 2 | no | — |
| 149 | #1010 | — | 3 | 4 | no | — |
| 150 | #1010 | — | 3 | 4 | no | — |
| 151 | #1010 | — | 3 | 4 | no | — |
| 152 | #1010 | — | 6 | 2 | no | — |
| 153 | #1009 | — | 3 | 4 | no | — |
| 154 | #1009 | — | 3 | 4 | no | — |
| 155 | #1009 | — | 3 | 4 | no | — |
| 156 | #1009 | — | 6 | 2 | no | — |
| 157 | D3×#41 | — | 3 | 8 | no | — |
| 158 | D3×#41 | — | 6 | 4 | no | — |
| 159 | D3×#41 | — | 6 | 4 | no | — |
| 160 | D3×#41 | — | 6 | 4 | no | — |
| 161 | #1007 | — | 3 | 4 | no | — |
| 162 | #1007 | — | 6 | 2 | no | — |
| 163 | #1004 | — | 3 | 4 | no | — |
| 164 | #1004 | — | 6 | 2 | no | — |
| 165 | #1004 | — | 6 | 4 | no | — |
| 166 | #1004 | — | 6 | 4 | no | — |
| 167 | C2×#235 | — | 3 | 2 | no | — |
| 168 | C2×#235 | — | 3 | 2 | no | — |
| 169 | C2×#235 | — | 3 | 8 | no | — |
| 170 | C2×#235 | — | 6 | 2 | no | — |
| 171 | C2×#235 | — | 6 | 4 | no | — |
| 172 | C2×#235 | C2×D3 | 1 | 1 | yes | characteristic |
| 173 | C2×#235 | C2×D3 | 1 | 2 | yes | complemented |
| 174 | C3×#137 | — | 3 | 4 | no | — |
| 175 | C3×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 176 | C3×#135 | — | 3 | 4 | no | — |
| 177 | C3×#131 | — | 3 | 4 | no | — |
| 178 | C3×#131 | — | 3 | 4 | no | — |
| 179 | C2×C3×M16 | — | 2 | 1 | no | — |
| 180 | C2×C3×M16 | — | 3 | 2 | no | — |
| 181 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 182 | C2×C3×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 183 | C22×C3×C8 | — | 3 | 1 | no | — |
| 184 | C22×C3×C8 | — | 3 | 2 | no | — |
| 185 | #950 | — | 3 | 4 | no | — |
| 186 | #950 | — | 3 | 4 | no | — |
| 187 | #950 | — | 3 | 4 | no | — |
| 188 | #950 | — | 3 | 4 | no | — |
| 189 | C2×#216 | — | 3 | 2 | no | — |
| 190 | C2×#215 | — | 3 | 2 | no | — |
| 191 | C2×#214 | — | 3 | 2 | no | — |
| 192 | C2×#213 | — | 3 | 2 | no | — |
| 193 | C22×C3⋊C8 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 194 | #919 | — | 3 | 4 | no | — |
| 195 | #918 | — | 3 | 8 | no | — |
| 196 | D3×Q16 | — | 3 | 4 | no | — |
| 197 | #916 | — | 3 | 8 | no | — |
| 198 | #915 | — | 3 | 8 | no | — |
| 199 | #914 | — | 3 | 8 | no | — |
| 200 | D3×SD16 | — | 3 | 8 | no | — |
| 201 | #912 | — | 3 | 4 | no | — |
| 202 | #911 | — | 3 | 8 | no | — |
| 203 | D3×D8 | — | 3 | 4 | no | — |
| 204 | #909 | — | 3 | 4 | no | — |
| 205 | #909 | — | 3 | 4 | no | — |
| 206 | #909 | — | 3 | 8 | no | — |
| 207 | #909 | — | 3 | 8 | no | — |
| 208 | #909 | — | 6 | 4 | no | — |
| 209 | #909 | C2×D3 | 1 | 4 | yes | complemented |
| 210 | #908 | — | 3 | 4 | no | — |
| 211 | #908 | — | 3 | 4 | no | — |
| 212 | #908 | — | 3 | 8 | no | — |
| 213 | #908 | — | 3 | 8 | no | — |
| 214 | #908 | — | 6 | 4 | no | — |
| 215 | #908 | C2×D3 | 1 | 4 | yes | complemented |
| 216 | #907 | C2×D3 | 1 | 4 | yes | complemented |
| 217 | #907 | C2×D3 | 1 | 4 | yes | complemented |
| 218 | C2×Dic12 | — | 3 | 2 | no | — |
| 219 | C2×Dic12 | — | 3 | 4 | no | — |
| 220 | #904 | — | 3 | 4 | no | — |
| 221 | #904 | — | 3 | 4 | no | — |
| 222 | #904 | — | 3 | 4 | no | — |
| 223 | #904 | — | 3 | 4 | no | — |
| 224 | #904 | — | 3 | 4 | no | — |
| 225 | #904 | — | 3 | 4 | no | — |
| 226 | #904 | — | 3 | 4 | no | — |
| 227 | #904 | — | 3 | 4 | no | — |
| 228 | #904 | — | 3 | 8 | no | — |
| 229 | #904 | — | 6 | 4 | no | — |
| 230 | #904 | C2×D3 | 1 | 4 | yes | complemented |
| 231 | C2×D24 | — | 3 | 2 | no | — |
| 232 | C2×D24 | — | 3 | 4 | no | — |
| 233 | C2×#204 | — | 3 | 2 | no | — |
| 234 | C2×#204 | — | 3 | 2 | no | — |
| 235 | C2×#204 | — | 3 | 8 | no | — |
| 236 | C2×ΓL(1,𝔽25) | C2×D3 | 1 | 2 | yes | complemented |
| 237 | C2×D3×C8 | C2×D3 | 1 | 2 | yes | complemented |
| 238 | C23×C32 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C22×C3⋊D3 | — | 2 | 2 | no | — |
| 240 | C22×C3×D3 | — | 2 | 2 | no | — |
| 241 | C22×C3×D3 | C2×D4 | 1 | 2 | yes | — |
| 242 | C2×D32 | — | 2 | 8 | no | — |
| 243 | C2×C32×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 244 | C2×C32×C4 | C2×D4 | 1 | 2 | yes | — |
| 245 | C2×C32×C4 | C24 | 1 | 1 | yes | characteristic |
| 246 | C2×C32×C4 | C24 | 1 | 2 | yes | — |
| 247 | #638 | — | 2 | 4 | no | — |
| 248 | #638 | — | 2 | 4 | no | — |
| 249 | C2×C3⋊Dic3 | — | 2 | 2 | no | — |
| 250 | C4⋊(C3⋊D3) | — | 2 | 2 | no | — |
| 251 | C4⋊(C3⋊D3) | C24 | 1 | 4 | yes | — |
| 252 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 253 | C4×C3⋊D3 | — | 2 | 4 | no | — |
| 254 | #634 | — | 2 | 2 | no | — |
| 255 | #634 | C24 | 1 | 4 | yes | — |
| 256 | C3×#67 | — | 2 | 4 | no | — |
| 257 | C3×#67 | — | 2 | 4 | no | — |
| 258 | C3×#67 | C2×D4 | 1 | 8 | yes | — |
| 259 | C2×C3×Dic3 | — | 2 | 2 | no | — |
| 260 | C2×C3×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 261 | C3×D12 | — | 2 | 2 | no | — |
| 262 | C3×D12 | C2×D4 | 1 | 4 | yes | — |
| 263 | C3×D12 | C24 | 1 | 4 | yes | — |
| 264 | C3×C4×D3 | — | 2 | 4 | no | — |
| 265 | C3×C4×D3 | — | 2 | 4 | no | — |
| 266 | C3×C4×D3 | C2×D4 | 1 | 4 | yes | — |
| 267 | C3×C4×D3 | C24 | 1 | 4 | yes | — |
| 268 | C3×Dic6 | — | 2 | 2 | no | — |
| 269 | C3×Dic6 | C2×D4 | 1 | 4 | yes | — |
| 270 | C3×Dic6 | C24 | 1 | 4 | yes | — |
| 271 | #627 | — | 2 | 8 | no | — |
| 272 | #626 | — | 2 | 8 | no | — |
| 273 | #626 | — | 2 | 8 | no | — |
| 274 | #625 | — | 2 | 8 | no | — |
| 275 | #624 | — | 2 | 8 | no | — |
| 276 | D3×Dic3 | — | 2 | 8 | no | — |
| 277 | D3×Dic3 | — | 2 | 8 | no | — |
| 278 | C32×C8 | C24 | 1 | 4 | yes | — |
| 279 | C3×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 280 | C3×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 281 | C3×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 282 | #585 | — | 9 | 2 | no | — |
| 283 | #578 | — | 9 | 4 | no | — |
| 284 | #577 | — | 9 | 4 | no | — |
| 285 | #577 | — | 9 | 4 | no | — |
| 286 | #576 | — | 9 | 4 | no | — |
| 287 | #575 | — | 3 | 1 | no | — |
| 288 | #575 | — | 9 | 4 | no | — |
| 289 | #575 | — | 9 | 1 | no | — |
| 290 | C2×#135 | — | 9 | 4 | no | — |
| 291 | C2×#135 | — | 9 | 2 | no | — |
| 292 | C2×#131 | — | 3 | 1 | no | — |
| 293 | C3×#41 | — | 3 | 4 | no | — |
| 294 | C3×#41 | — | 3 | 4 | no | — |
| 295 | C3×#41 | — | 3 | 4 | no | — |
| 296 | C3×#41 | — | 3 | 4 | no | — |
| 297 | C3×#41 | — | 6 | 2 | no | — |
| 298 | C3×#41 | — | 6 | 2 | no | — |
| 299 | C2×C3×Q8 | — | 3 | 1 | no | — |
| 300 | C2×C3×Q8 | — | 3 | 2 | no | — |
| 301 | C2×C3×D4 | — | 3 | 2 | no | — |
| 302 | C2×C3×D4 | — | 3 | 1 | no | — |
| 303 | C2×C3×D4 | — | 3 | 2 | no | — |
| 304 | C2×C3×D4 | — | 6 | 2 | no | — |
| 305 | C22×C3×C4 | — | 2 | 1 | no | — |
| 306 | C22×C3×C4 | — | 3 | 2 | no | — |
| 307 | C22×C3×C4 | — | 6 | 2 | no | — |
| 308 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 309 | C22×C3×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 310 | C2×#67 | — | 2 | 2 | no | — |
| 311 | C2×#67 | — | 6 | 8 | no | — |
| 312 | C2×#67 | — | 6 | 2 | no | — |
| 313 | C2×#67 | — | 6 | 2 | no | — |
| 314 | C2×#67 | — | 6 | 8 | no | — |
| 315 | C2×#67 | — | 12 | 2 | no | — |
| 316 | C2×#67 | D12 | 1 | 2 | yes | — |
| 317 | #239 | — | 3 | 8 | no | — |
| 318 | #239 | — | 6 | 4 | no | — |
| 319 | #239 | — | 6 | 4 | no | — |
| 320 | #239 | — | 6 | 4 | no | — |
| 321 | D3×Q8 | — | 3 | 8 | no | — |
| 322 | D3×Q8 | — | 6 | 4 | no | — |
| 323 | D3×Q8 | — | 6 | 4 | no | — |
| 324 | D3×Q8 | — | 6 | 4 | no | — |
| 325 | #237 | — | 3 | 8 | no | — |
| 326 | #237 | — | 6 | 4 | no | — |
| 327 | #237 | — | 6 | 4 | no | — |
| 328 | #237 | — | 6 | 8 | no | — |
| 329 | #237 | — | 6 | 8 | no | — |
| 330 | #237 | — | 6 | 8 | no | — |
| 331 | #237 | — | 6 | 8 | no | — |
| 332 | #237 | — | 6 | 4 | no | — |
| 333 | D3×D4 | — | 3 | 8 | no | — |
| 334 | D3×D4 | — | 6 | 4 | no | — |
| 335 | D3×D4 | — | 6 | 4 | no | — |
| 336 | D3×D4 | — | 6 | 8 | no | — |
| 337 | D3×D4 | — | 6 | 8 | no | — |
| 338 | D3×D4 | — | 6 | 8 | no | — |
| 339 | D3×D4 | — | 6 | 8 | no | — |
| 340 | D3×D4 | — | 6 | 4 | no | — |
| 341 | #235 | — | 2 | 2 | no | — |
| 342 | #235 | — | 2 | 2 | no | — |
| 343 | #235 | — | 3 | 4 | no | — |
| 344 | #235 | — | 3 | 4 | no | — |
| 345 | #235 | — | 3 | 4 | no | — |
| 346 | #235 | — | 3 | 4 | no | — |
| 347 | #235 | — | 3 | 8 | no | — |
| 348 | #235 | — | 3 | 8 | no | — |
| 349 | #235 | — | 6 | 4 | no | — |
| 350 | #235 | — | 6 | 4 | no | — |
| 351 | #235 | — | 6 | 8 | no | — |
| 352 | #235 | — | 6 | 8 | no | — |
| 353 | #235 | — | 6 | 2 | no | — |
| 354 | #235 | — | 6 | 2 | no | — |
| 355 | #235 | — | 6 | 2 | no | — |
| 356 | #235 | — | 6 | 2 | no | — |
| 357 | #235 | — | 6 | 8 | no | — |
| 358 | #235 | — | 6 | 4 | no | — |
| 359 | #235 | — | 6 | 8 | no | — |
| 360 | #235 | — | 6 | 4 | no | — |
| 361 | #235 | — | 12 | 2 | no | — |
| 362 | #235 | — | 12 | 2 | no | — |
| 363 | #235 | D12 | 1 | 4 | yes | — |
| 364 | #235 | C22×D3 | 1 | 4 | yes | — |
| 365 | #235 | C22×D3 | 1 | 4 | yes | — |
| 366 | #235 | C22×D3 | 1 | 4 | yes | — |
| 367 | C2×D12 | — | 3 | 2 | no | — |
| 368 | C2×D12 | — | 3 | 2 | no | — |
| 369 | C2×D12 | — | 3 | 8 | no | — |
| 370 | C2×D12 | — | 6 | 2 | no | — |
| 371 | C2×D12 | — | 6 | 4 | no | — |
| 372 | C2×D12 | D12 | 1 | 1 | yes | characteristic |
| 373 | C2×D12 | C22×D3 | 1 | 2 | yes | — |
| 374 | C2×C4×D3 | — | 2 | 2 | no | — |
| 375 | C2×C4×D3 | — | 6 | 8 | no | — |
| 376 | C2×C4×D3 | — | 6 | 2 | no | — |
| 377 | C2×C4×D3 | — | 6 | 2 | no | — |
| 378 | C2×C4×D3 | — | 6 | 8 | no | — |
| 379 | C2×C4×D3 | — | 12 | 2 | no | — |
| 380 | C2×C4×D3 | C22×D3 | 1 | 2 | yes | — |
| 381 | C2×Dic6 | — | 3 | 2 | no | — |
| 382 | C2×Dic6 | — | 3 | 2 | no | — |
| 383 | C2×Dic6 | — | 3 | 8 | no | — |
| 384 | C2×Dic6 | — | 6 | 2 | no | — |
| 385 | C2×Dic6 | — | 6 | 4 | no | — |
| 386 | C2×Dic6 | D12 | 1 | 1 | yes | characteristic |
| 387 | C2×Dic6 | C22×D3 | 1 | 2 | yes | — |
| 388 | C3×Q16 | — | 3 | 4 | no | — |
| 389 | C3×SD16 | — | 3 | 8 | no | — |
| 390 | C3×D8 | — | 3 | 4 | no | — |
| 391 | C3×M16 | — | 2 | 4 | no | — |
| 392 | C3×M16 | — | 3 | 8 | no | — |
| 393 | C3×M16 | C22×D3 | 1 | 4 | yes | — |
| 394 | C3×M16 | C22×D3 | 1 | 4 | yes | — |
| 395 | C2×C3×C8 | — | 2 | 2 | no | — |
| 396 | C2×C3×C8 | — | 3 | 2 | no | — |
| 397 | C2×C3×C8 | — | 3 | 2 | no | — |
| 398 | C2×C3×C8 | — | 3 | 1 | no | — |
| 399 | C2×C3×C8 | — | 3 | 1 | no | — |
| 400 | C2×C3×C8 | — | 3 | 4 | no | — |
| 401 | C2×C3×C8 | — | 3 | 4 | no | — |
| 402 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 403 | C2×C3×C8 | C22×D3 | 1 | 2 | yes | — |
| 404 | #216 | — | 3 | 4 | no | — |
| 405 | #216 | — | 3 | 4 | no | — |
| 406 | #215 | — | 3 | 4 | no | — |
| 407 | #215 | — | 3 | 4 | no | — |
| 408 | #214 | — | 3 | 4 | no | — |
| 409 | #214 | — | 3 | 4 | no | — |
| 410 | #213 | — | 3 | 4 | no | — |
| 411 | #213 | — | 3 | 4 | no | — |
| 412 | C2×C3⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 413 | C2×C3⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 414 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 415 | C2×C3⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 416 | Dic12 | — | 3 | 4 | no | — |
| 417 | Dic12 | — | 3 | 4 | no | — |
| 418 | Dic12 | — | 3 | 4 | no | — |
| 419 | Dic12 | — | 3 | 4 | no | — |
| 420 | Dic12 | — | 6 | 4 | no | — |
| 421 | Dic12 | C22×D3 | 1 | 4 | yes | — |
| 422 | D24 | — | 3 | 4 | no | — |
| 423 | D24 | — | 3 | 4 | no | — |
| 424 | D24 | — | 3 | 4 | no | — |
| 425 | D24 | — | 3 | 4 | no | — |
| 426 | D24 | — | 6 | 4 | no | — |
| 427 | D24 | C22×D3 | 1 | 4 | yes | — |
| 428 | #204 | — | 3 | 4 | no | — |
| 429 | #204 | — | 3 | 4 | no | — |
| 430 | #204 | — | 3 | 4 | no | — |
| 431 | #204 | — | 3 | 4 | no | — |
| 432 | #204 | — | 3 | 8 | no | — |
| 433 | #204 | — | 3 | 8 | no | — |
| 434 | #204 | — | 6 | 8 | no | — |
| 435 | #204 | C22×D3 | 1 | 8 | yes | — |
| 436 | ΓL(1,𝔽25) | C22×D3 | 1 | 8 | yes | — |
| 437 | D3×C8 | C22×D3 | 1 | 4 | yes | — |
| 438 | D3×C8 | C22×D3 | 1 | 4 | yes | — |
| 439 | C22×C32 | — | 4 | 1 | no | — |
| 440 | C22×C32 | C22×D4 | 1 | 2 | yes | — |
| 441 | C22×C32 | C22×D4 | 1 | 1 | yes | characteristic |
| 442 | C2×C3⋊D3 | — | 2 | 4 | no | — |
| 443 | C2×C3⋊D3 | — | 8 | 2 | no | — |
| 444 | C2×C3×D3 | — | 2 | 4 | no | — |
| 445 | C2×C3×D3 | — | 4 | 2 | no | — |
| 446 | C2×C3×D3 | — | 8 | 2 | no | — |
| 447 | C2×C3×D3 | C22×D4 | 1 | 4 | yes | — |
| 448 | D32 | — | 8 | 8 | no | — |
| 449 | C32×C4 | C22×D4 | 1 | 2 | yes | — |
| 450 | C32×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 451 | C32×C4 | C25 | 1 | 1 | yes | characteristic |
| 452 | C3⋊Dic3 | — | 2 | 4 | no | — |
| 453 | C3×Dic3 | — | 2 | 4 | no | — |
| 454 | C3×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 455 | 2−1+4 | — | 9 | 4 | no | — |
| 456 | 2−1+4 | — | 9 | 4 | no | — |
| 457 | 2−1+4 | — | 18 | 2 | no | — |
| 458 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 459 | H(5,𝔽2) | — | 9 | 4 | no | — |
| 460 | H(5,𝔽2) | — | 18 | 4 | no | — |
| 461 | H(5,𝔽2) | — | 18 | 2 | no | — |
| 462 | C2×#41 | — | 3 | 1 | no | — |
| 463 | C2×#41 | — | 3 | 2 | no | — |
| 464 | C2×#41 | — | 9 | 8 | no | — |
| 465 | C2×#41 | — | 9 | 2 | no | — |
| 466 | C2×#41 | — | 18 | 4 | no | — |
| 467 | C2×#41 | — | 18 | 4 | no | — |
| 468 | #137 | — | 3 | 4 | no | — |
| 469 | #137 | — | 9 | 8 | no | — |
| 470 | #137 | — | 9 | 8 | no | — |
| 471 | #137 | — | 9 | 4 | no | — |
| 472 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 473 | AGL(1,ℤ/8) | — | 9 | 8 | no | — |
| 474 | AGL(1,ℤ/8) | — | 9 | 8 | no | — |
| 475 | AGL(1,ℤ/8) | — | 9 | 4 | no | — |
| 476 | #135 | — | 3 | 4 | no | — |
| 477 | #135 | — | 9 | 4 | no | — |
| 478 | #135 | — | 9 | 8 | no | — |
| 479 | #135 | — | 9 | 4 | no | — |
| 480 | #135 | — | 9 | 4 | no | — |
| 481 | #135 | — | 9 | 4 | no | — |
| 482 | #135 | — | 9 | 4 | no | — |
| 483 | #135 | — | 9 | 4 | no | — |
| 484 | #135 | — | 9 | 4 | no | — |
| 485 | C2×Q16 | — | 9 | 4 | no | — |
| 486 | C2×Q16 | — | 9 | 2 | no | — |
| 487 | C2×SD16 | — | 9 | 8 | no | — |
| 488 | C2×SD16 | — | 9 | 2 | no | — |
| 489 | C2×SD16 | — | 9 | 2 | no | — |
| 490 | C2×D8 | — | 9 | 4 | no | — |
| 491 | C2×D8 | — | 9 | 2 | no | — |
| 492 | #131 | — | 3 | 4 | no | — |
| 493 | #131 | — | 3 | 4 | no | — |
| 494 | C2×M16 | — | 3 | 2 | no | — |
| 495 | C2×M16 | D32 | 1 | 1 | yes | characteristic, complemented |
| 496 | C22×C8 | — | 3 | 1 | no | — |
| 497 | C22×C8 | — | 3 | 2 | no | — |
| 498 | C23×C3 | — | 2 | 1 | no | — |
| 499 | C23×C3 | — | 3 | 2 | no | — |
| 500 | C23×C3 | — | 6 | 2 | no | — |
| 501 | C23×C3 | C2×D12 | 1 | 1 | yes | characteristic |
| 502 | C23×C3 | D3×D4 | 1 | 1 | yes | characteristic |
| 503 | C22×D3 | — | 2 | 2 | no | — |
| 504 | C22×D3 | — | 6 | 8 | no | — |
| 505 | C22×D3 | — | 6 | 2 | no | — |
| 506 | C22×D3 | — | 6 | 2 | no | — |
| 507 | C22×D3 | — | 6 | 8 | no | — |
| 508 | C22×D3 | — | 12 | 2 | no | — |
| 509 | C22×D3 | C2×D12 | 1 | 2 | yes | — |
| 510 | C3×Q8 | — | 3 | 4 | no | — |
| 511 | C3×Q8 | — | 3 | 4 | no | — |
| 512 | C3×Q8 | — | 6 | 2 | no | — |
| 513 | C3×D4 | — | 3 | 8 | no | — |
| 514 | C3×D4 | — | 3 | 4 | no | — |
| 515 | C3×D4 | — | 3 | 4 | no | — |
| 516 | C3×D4 | — | 6 | 4 | no | — |
| 517 | C3×D4 | — | 6 | 4 | no | — |
| 518 | C3×D4 | — | 6 | 2 | no | — |
| 519 | C2×C3×C4 | — | 2 | 1 | no | — |
| 520 | C2×C3×C4 | — | 2 | 2 | no | — |
| 521 | C2×C3×C4 | — | 2 | 2 | no | — |
| 522 | C2×C3×C4 | — | 2 | 1 | no | — |
| 523 | C2×C3×C4 | — | 3 | 2 | no | — |
| 524 | C2×C3×C4 | — | 3 | 4 | no | — |
| 525 | C2×C3×C4 | — | 3 | 4 | no | — |
| 526 | C2×C3×C4 | — | 6 | 2 | no | — |
| 527 | C2×C3×C4 | — | 6 | 4 | no | — |
| 528 | C2×C3×C4 | — | 6 | 4 | no | — |
| 529 | C2×C3×C4 | C2×D12 | 1 | 1 | yes | characteristic |
| 530 | C2×C3×C4 | C2×D12 | 1 | 2 | yes | — |
| 531 | C2×C3×C4 | D3×D4 | 1 | 2 | yes | — |
| 532 | C2×C3×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 533 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 534 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 535 | C2×C3×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 536 | C2×C3×C4 | C23×D3 | 1 | 2 | yes | — |
| 537 | #67 | — | 2 | 4 | no | — |
| 538 | #67 | — | 2 | 4 | no | — |
| 539 | #67 | — | 6 | 8 | no | — |
| 540 | #67 | — | 6 | 8 | no | — |
| 541 | #67 | — | 6 | 4 | no | — |
| 542 | #67 | — | 6 | 4 | no | — |
| 543 | #67 | — | 6 | 4 | no | — |
| 544 | #67 | — | 6 | 4 | no | — |
| 545 | #67 | — | 6 | 8 | no | — |
| 546 | #67 | — | 6 | 8 | no | — |
| 547 | #67 | — | 12 | 4 | no | — |
| 548 | #67 | — | 12 | 4 | no | — |
| 549 | #67 | C2×D12 | 1 | 8 | yes | — |
| 550 | C2×Dic3 | — | 2 | 2 | no | — |
| 551 | C2×Dic3 | — | 6 | 8 | no | — |
| 552 | C2×Dic3 | — | 6 | 2 | no | — |
| 553 | C2×Dic3 | — | 6 | 2 | no | — |
| 554 | C2×Dic3 | — | 6 | 8 | no | — |
| 555 | C2×Dic3 | — | 12 | 2 | no | — |
| 556 | C2×Dic3 | C2×D12 | 1 | 2 | yes | — |
| 557 | D12 | — | 2 | 2 | no | — |
| 558 | D12 | — | 3 | 4 | no | — |
| 559 | D12 | — | 3 | 4 | no | — |
| 560 | D12 | — | 6 | 4 | no | — |
| 561 | D12 | — | 6 | 8 | no | — |
| 562 | D12 | — | 6 | 8 | no | — |
| 563 | D12 | — | 6 | 2 | no | — |
| 564 | D12 | — | 6 | 2 | no | — |
| 565 | D12 | — | 12 | 2 | no | — |
| 566 | D12 | C2×D12 | 1 | 4 | yes | — |
| 567 | D12 | C23×D3 | 1 | 4 | yes | — |
| 568 | C4×D3 | — | 2 | 4 | no | — |
| 569 | C4×D3 | — | 2 | 4 | no | — |
| 570 | C4×D3 | — | 6 | 8 | no | — |
| 571 | C4×D3 | — | 6 | 8 | no | — |
| 572 | C4×D3 | — | 6 | 8 | no | — |
| 573 | C4×D3 | — | 6 | 4 | no | — |
| 574 | C4×D3 | — | 6 | 4 | no | — |
| 575 | C4×D3 | — | 6 | 4 | no | — |
| 576 | C4×D3 | — | 6 | 4 | no | — |
| 577 | C4×D3 | — | 6 | 8 | no | — |
| 578 | C4×D3 | — | 12 | 4 | no | — |
| 579 | C4×D3 | — | 12 | 4 | no | — |
| 580 | C4×D3 | C2×D12 | 1 | 4 | yes | — |
| 581 | C4×D3 | C23×D3 | 1 | 4 | yes | — |
| 582 | Dic6 | — | 2 | 2 | no | — |
| 583 | Dic6 | — | 3 | 4 | no | — |
| 584 | Dic6 | — | 3 | 4 | no | — |
| 585 | Dic6 | — | 6 | 4 | no | — |
| 586 | Dic6 | — | 6 | 8 | no | — |
| 587 | Dic6 | — | 6 | 2 | no | — |
| 588 | Dic6 | — | 6 | 2 | no | — |
| 589 | Dic6 | — | 6 | 8 | no | — |
| 590 | Dic6 | — | 12 | 2 | no | — |
| 591 | Dic6 | C2×D12 | 1 | 4 | yes | — |
| 592 | Dic6 | C23×D3 | 1 | 4 | yes | — |
| 593 | C3×C8 | — | 2 | 4 | no | — |
| 594 | C3×C8 | — | 3 | 1 | no | — |
| 595 | C3×C8 | — | 3 | 2 | no | — |
| 596 | C3×C8 | — | 3 | 1 | no | — |
| 597 | C3×C8 | C23×D3 | 1 | 4 | yes | — |
| 598 | C3×C8 | C23×D3 | 1 | 4 | yes | — |
| 599 | C3⋊C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 600 | C3⋊C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 601 | C3⋊C8 | C23×D3 | 1 | 2 | yes | — |
| 602 | C2×C32 | — | 2 | 1 | no | — |
| 603 | C2×C32 | — | 2 | 2 | no | — |
| 604 | C2×C32 | C23×D4 | 1 | 1 | yes | characteristic |
| 605 | C3⋊D3 | — | 4 | 4 | no | — |
| 606 | C3×D3 | — | 2 | 4 | no | — |
| 607 | C3×D3 | — | 4 | 4 | no | — |
| 608 | #41 | — | 3 | 4 | no | — |
| 609 | #41 | — | 3 | 4 | no | — |
| 610 | #41 | — | 3 | 4 | no | — |
| 611 | #41 | — | 3 | 4 | no | — |
| 612 | #41 | — | 6 | 2 | no | — |
| 613 | #41 | — | 6 | 2 | no | — |
| 614 | #41 | — | 9 | 8 | no | — |
| 615 | #41 | — | 9 | 8 | no | — |
| 616 | #41 | — | 9 | 4 | no | — |
| 617 | #41 | — | 9 | 4 | no | — |
| 618 | #41 | — | 18 | 8 | no | — |
| 619 | #41 | — | 18 | 8 | no | — |
| 620 | #41 | — | 18 | 8 | no | — |
| 621 | #41 | — | 18 | 4 | no | — |
| 622 | #41 | — | 18 | 4 | no | — |
| 623 | #41 | — | 18 | 8 | no | — |
| 624 | #41 | — | 18 | 4 | no | — |
| 625 | #41 | — | 18 | 4 | no | — |
| 626 | #41 | — | 18 | 2 | no | — |
| 627 | #41 | — | 18 | 2 | no | — |
| 628 | C2×Q8 | — | 3 | 1 | no | — |
| 629 | C2×Q8 | — | 3 | 2 | no | — |
| 630 | C2×Q8 | — | 9 | 8 | no | — |
| 631 | C2×Q8 | — | 9 | 2 | no | — |
| 632 | C2×Q8 | — | 18 | 4 | no | — |
| 633 | C2×Q8 | — | 18 | 4 | no | — |
| 634 | C2×D4 | — | 3 | 2 | no | — |
| 635 | C2×D4 | — | 3 | 2 | no | — |
| 636 | C2×D4 | — | 3 | 1 | no | — |
| 637 | C2×D4 | — | 6 | 2 | no | — |
| 638 | C2×D4 | — | 9 | 8 | no | — |
| 639 | C2×D4 | — | 9 | 2 | no | — |
| 640 | C2×D4 | — | 18 | 4 | no | — |
| 641 | C2×D4 | — | 18 | 8 | no | — |
| 642 | C2×D4 | — | 18 | 4 | no | — |
| 643 | C2×D4 | — | 18 | 8 | no | — |
| 644 | C2×D4 | — | 18 | 8 | no | — |
| 645 | C2×D4 | — | 18 | 2 | no | — |
| 646 | C22×C4 | — | 3 | 2 | no | — |
| 647 | C22×C4 | — | 6 | 2 | no | — |
| 648 | C22×C4 | — | 18 | 8 | no | — |
| 649 | C22×C4 | — | 18 | 2 | no | — |
| 650 | C22×C4 | C2×D32 | 1 | 1 | yes | characteristic |
| 651 | Q16 | — | 3 | 4 | no | — |
| 652 | Q16 | — | 9 | 4 | no | — |
| 653 | Q16 | — | 9 | 4 | no | — |
| 654 | Q16 | — | 9 | 4 | no | — |
| 655 | SD16 | — | 3 | 8 | no | — |
| 656 | SD16 | — | 9 | 4 | no | — |
| 657 | SD16 | — | 9 | 4 | no | — |
| 658 | SD16 | — | 9 | 4 | no | — |
| 659 | SD16 | — | 9 | 4 | no | — |
| 660 | SD16 | — | 9 | 8 | no | — |
| 661 | D8 | — | 3 | 4 | no | — |
| 662 | D8 | — | 9 | 4 | no | — |
| 663 | D8 | — | 9 | 4 | no | — |
| 664 | D8 | — | 9 | 4 | no | — |
| 665 | M16 | — | 3 | 8 | no | — |
| 666 | M16 | C2×D32 | 1 | 4 | yes | — |
| 667 | C2×C8 | — | 3 | 1 | no | — |
| 668 | C2×C8 | — | 3 | 1 | no | — |
| 669 | C2×C8 | — | 3 | 2 | no | — |
| 670 | C2×C8 | — | 3 | 2 | no | — |
| 671 | C2×C8 | — | 3 | 4 | no | — |
| 672 | C2×C8 | — | 3 | 4 | no | — |
| 673 | C2×C8 | C2×D32 | 1 | 2 | yes | — |
| 674 | C22×C3 | — | 2 | 2 | no | — |
| 675 | C22×C3 | — | 2 | 1 | no | — |
| 676 | C22×C3 | — | 3 | 4 | no | — |
| 677 | C22×C3 | — | 4 | 1 | no | — |
| 678 | C22×C3 | — | 4 | 1 | no | — |
| 679 | C22×C3 | — | 6 | 4 | no | — |
| 680 | C22×C3 | — | 8 | 1 | no | — |
| 681 | C22×C3 | — | 12 | 2 | no | — |
| 682 | C22×C3 | — | 24 | 2 | no | — |
| 683 | C22×C3 | C22×D12 | 1 | 2 | yes | — |
| 684 | C22×C3 | C22×D12 | 1 | 1 | yes | characteristic |
| 685 | C22×C3 | C2×D3×D4 | 1 | 2 | yes | — |
| 686 | C22×C3 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 687 | C2×D3 | — | 2 | 4 | no | — |
| 688 | C2×D3 | — | 4 | 2 | no | — |
| 689 | C2×D3 | — | 6 | 4 | no | — |
| 690 | C2×D3 | — | 6 | 4 | no | — |
| 691 | C2×D3 | — | 8 | 2 | no | — |
| 692 | C2×D3 | — | 12 | 4 | no | — |
| 693 | C2×D3 | — | 24 | 8 | no | — |
| 694 | C2×D3 | — | 24 | 8 | no | — |
| 695 | C2×D3 | — | 24 | 2 | no | — |
| 696 | C2×D3 | — | 24 | 2 | no | — |
| 697 | C2×D3 | — | 24 | 4 | no | — |
| 698 | C2×D3 | C22×D12 | 1 | 4 | yes | — |
| 699 | C3×C4 | — | 2 | 2 | no | — |
| 700 | C3×C4 | — | 2 | 1 | no | — |
| 701 | C3×C4 | — | 2 | 1 | no | — |
| 702 | C3×C4 | — | 3 | 4 | no | — |
| 703 | C3×C4 | — | 6 | 4 | no | — |
| 704 | C3×C4 | C22×D12 | 1 | 2 | yes | — |
| 705 | C3×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 706 | C3×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 707 | C3×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 708 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 709 | C3×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 710 | Dic3 | — | 2 | 4 | no | — |
| 711 | Dic3 | — | 6 | 4 | no | — |
| 712 | Dic3 | — | 6 | 4 | no | — |
| 713 | Dic3 | — | 12 | 4 | no | — |
| 714 | Dic3 | C22×D12 | 1 | 4 | yes | — |
| 715 | C32 | #3584 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 716 | C23 | — | 3 | 2 | no | — |
| 717 | C23 | — | 6 | 2 | no | — |
| 718 | C23 | — | 18 | 8 | no | — |
| 719 | C23 | — | 18 | 2 | no | — |
| 720 | C23 | D3×D12 | 1 | 1 | yes | characteristic |
| 721 | Q8 | — | 3 | 4 | no | — |
| 722 | Q8 | — | 3 | 4 | no | — |
| 723 | Q8 | — | 6 | 2 | no | — |
| 724 | Q8 | — | 9 | 4 | no | — |
| 725 | Q8 | — | 18 | 8 | no | — |
| 726 | Q8 | — | 18 | 2 | no | — |
| 727 | D4 | — | 3 | 8 | no | — |
| 728 | D4 | — | 3 | 4 | no | — |
| 729 | D4 | — | 3 | 4 | no | — |
| 730 | D4 | — | 6 | 4 | no | — |
| 731 | D4 | — | 6 | 4 | no | — |
| 732 | D4 | — | 6 | 2 | no | — |
| 733 | D4 | — | 9 | 4 | no | — |
| 734 | D4 | — | 18 | 8 | no | — |
| 735 | D4 | — | 18 | 8 | no | — |
| 736 | D4 | — | 18 | 8 | no | — |
| 737 | D4 | — | 18 | 4 | no | — |
| 738 | D4 | — | 18 | 4 | no | — |
| 739 | D4 | — | 18 | 2 | no | — |
| 740 | C2×C4 | — | 3 | 2 | no | — |
| 741 | C2×C4 | — | 3 | 4 | no | — |
| 742 | C2×C4 | — | 3 | 4 | no | — |
| 743 | C2×C4 | — | 6 | 2 | no | — |
| 744 | C2×C4 | — | 6 | 4 | no | — |
| 745 | C2×C4 | — | 6 | 4 | no | — |
| 746 | C2×C4 | — | 18 | 8 | no | — |
| 747 | C2×C4 | — | 18 | 8 | no | — |
| 748 | C2×C4 | — | 18 | 8 | no | — |
| 749 | C2×C4 | — | 18 | 2 | no | — |
| 750 | C2×C4 | — | 18 | 4 | no | — |
| 751 | C2×C4 | — | 18 | 4 | no | — |
| 752 | C2×C4 | D3×D12 | 1 | 1 | yes | characteristic |
| 753 | C2×C4 | D3×D12 | 1 | 2 | yes | — |
| 754 | C2×C4 | C22×D32 | 1 | 2 | yes | — |
| 755 | C2×C4 | C22×D32 | 1 | 1 | yes | characteristic |
| 756 | C8 | — | 3 | 1 | no | — |
| 757 | C8 | — | 3 | 1 | no | — |
| 758 | C8 | — | 3 | 2 | no | — |
| 759 | C8 | C22×D32 | 1 | 4 | yes | — |
| 760 | C2×C3 | — | 2 | 1 | no | — |
| 761 | C2×C3 | — | 2 | 2 | no | — |
| 762 | C2×C3 | — | 2 | 2 | no | — |
| 763 | C2×C3 | — | 2 | 1 | no | — |
| 764 | C2×C3 | — | 2 | 1 | no | — |
| 765 | C2×C3 | — | 4 | 2 | no | — |
| 766 | C2×C3 | — | 4 | 1 | no | — |
| 767 | C2×C3 | — | 6 | 4 | no | — |
| 768 | C2×C3 | — | 12 | 4 | no | — |
| 769 | C2×C3 | C23×D12 | 1 | 1 | yes | characteristic |
| 770 | C2×C3 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 771 | D3 | — | 2 | 4 | no | — |
| 772 | D3 | — | 4 | 4 | no | — |
| 773 | D3 | — | 12 | 4 | no | — |
| 774 | D3 | — | 12 | 4 | no | — |
| 775 | D3 | — | 24 | 4 | no | — |
| 776 | C22 | — | 3 | 4 | no | — |
| 777 | C22 | — | 4 | 1 | no | — |
| 778 | C22 | — | 6 | 4 | no | — |
| 779 | C22 | — | 12 | 2 | no | — |
| 780 | C22 | — | 18 | 4 | no | — |
| 781 | C22 | — | 24 | 2 | no | — |
| 782 | C22 | — | 72 | 2 | no | — |
| 783 | C22 | — | 72 | 8 | no | — |
| 784 | C22 | C2×D3×D12 | 1 | 1 | yes | characteristic |
| 785 | C22 | C2×D3×D12 | 1 | 2 | yes | — |
| 786 | C4 | — | 3 | 4 | no | — |
| 787 | C4 | — | 6 | 4 | no | — |
| 788 | C4 | — | 18 | 4 | no | — |
| 789 | C4 | C2×D3×D12 | 1 | 2 | yes | — |
| 790 | C4 | C2×D3×D12 | 1 | 1 | yes | characteristic |
| 791 | C4 | C23×D32 | 1 | 1 | yes | characteristic |
| 792 | C3 | — | 2 | 1 | no | — |
| 793 | C3 | #87163 | 1 | 1 | yes | characteristic, complemented |
| 794 | C3 | #87199 | 1 | 1 | yes | characteristic, complemented |
| 795 | C2 | — | 2 | 1 | no | — |
| 796 | C2 | — | 2 | 2 | no | — |
| 797 | C2 | — | 6 | 4 | no | — |
| 798 | C2 | — | 12 | 4 | no | — |
| 799 | C2 | — | 36 | 4 | no | — |
| 800 | C2 | C22×D3×D12 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #10596669 | C2 | semidirect |
| 2. #10596219 | C2 | semidirect |
| 3. C3×#5748 | C2 | semidirect |
| 4. C2×C3×#907 | C2 | semidirect |
| 5. C2×#63829 | C2 | semidirect |
| 6. #10594721 | C2 | semidirect |
| 7. #10594715 | C2 | semidirect |
| 8. #10594714 | C2 | semidirect |
| 9. #10594713 | C2 | semidirect |
| 10. #10594676 | C2 | semidirect |
| 11. D3×#904 | C2 | semidirect |
| 14. C2×#3828 | C22 | semidirect |
| 16. C2×C3×#235 | C22 | semidirect |
| 18. #64308 | C22 | semidirect |
| 20. #64307 | C22 | semidirect |
| 23. D3×#235 | C22 | semidirect |
| 24. #64298 | C22 | semidirect |
| 26. #64297 | C22 | semidirect |
| 27. C2×C32×M16 | C22 | semidirect |
| 28. #64118 | C22 | semidirect |
| 29. #64117 | C22 | semidirect |
| 30. #64113 | C22 | semidirect |
| 31. C22×C3×C3⋊C8 | C22 | semidirect |
| 32. C3×#909 | C22 | semidirect |
| 33. C3×#908 | C22 | semidirect |
| 34. C3×#907 | C22 | semidirect |
| 35. C3×#907 | C22 | semidirect |
| 36. C3×#904 | C22 | semidirect |
| 37. C2×C3×ΓL(1,𝔽25) | C22 | semidirect |
| 38. C2×C3×D3×C8 | C22 | semidirect |
| 39. C2×#3719 | C22 | semidirect |
| 40. C2×#3717 | C22 | semidirect |
| 41. #63829 | C22 | semidirect |
| 42. #63829 | C22 | semidirect |
| 43. #63829 | C22 | semidirect |
| 44. #63829 | C22 | semidirect |
| 45. C2×#3716 | C22 | semidirect |
| 46. C2×#3714 | C22 | semidirect |
| 47. #63808 | C22 | semidirect |
| 48. #63807 | C22 | semidirect |
| 49. #63806 | C22 | semidirect |
| 50. #63801 | C22 | semidirect |
| 51. #63800 | C22 | semidirect |
| 52. D3×Dic12 | C22 | semidirect |
| 53. #63795 | C22 | semidirect |
| 54. #63794 | C22 | semidirect |
| 55. D3×D24 | C22 | semidirect |
| 56. D3×#204 | C22 | semidirect |
| 76. #5748 | D3 | semidirect |
| 77. C2×#907 | D3 | semidirect |
| 173. C2×#235 | C2×D3 | semidirect |
| 181. C2×C3×M16 | C2×D3 | semidirect |
| 182. C2×C3×M16 | C2×D3 | semidirect |
| 193. C22×C3⋊C8 | C2×D3 | semidirect |
| 209. #909 | C2×D3 | semidirect |
| 215. #908 | C2×D3 | semidirect |
| 216. #907 | C2×D3 | semidirect |
| 217. #907 | C2×D3 | semidirect |
| 230. #904 | C2×D3 | semidirect |
| 236. C2×ΓL(1,𝔽25) | C2×D3 | semidirect |
| 237. C2×D3×C8 | C2×D3 | semidirect |
| 495. C2×M16 | D32 | semidirect |
| 715. C32 | #3584 | semidirect |
| 793. C3 | #87163 | semidirect |
| 794. C3 | #87199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10596669 | 2 |
| #10596219 | 2 |
| C3×#5748 | 2 |
| C2×C3×#907 | 2 |
| C2×#63829 | 2 |
| #10594721 | 2 |
| #10594715 | 2 |
| #10594714 | 2 |
| #10594713 | 2 |
| #10594676 | 2 |
| D3×#904 | 2 |
| #87199 | 3 |
| #87163 | 3 |