Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2600 conjugacy classes of subgroups.
The subgroup lattice has 728 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #87201 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #87168 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C3×#2956 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83816 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #79901 | C2 | 1 | 8 | yes | maximal, complemented |
| 6 | #79895 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #79893 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #79262 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | C2×#4826 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #78986 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #78541 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #78538 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #61111 | — | 3 | 1 | no | maximal, Sylow |
| 14 | #5964 | C22 | 1 | 2 | yes | complemented |
| 15 | C2×#1010 | C22 | 1 | 2 | yes | — |
| 16 | C3×#575 | C22 | 1 | 1 | yes | characteristic |
| 17 | C3×#568 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×#951 | C22 | 1 | 2 | yes | complemented |
| 19 | #5822 | C22 | 1 | 2 | yes | — |
| 20 | #5779 | — | 2 | 4 | no | — |
| 21 | D3×#137 | — | 2 | 4 | no | — |
| 22 | #5775 | — | 2 | 4 | no | — |
| 23 | #5773 | — | 2 | 4 | no | — |
| 24 | #5771 | C22 | 1 | 8 | yes | complemented |
| 25 | #5770 | C22 | 1 | 8 | yes | complemented |
| 26 | #5753 | — | 2 | 4 | no | — |
| 27 | #5753 | C22 | 1 | 8 | yes | complemented |
| 28 | #5751 | — | 2 | 4 | no | — |
| 29 | #5751 | C22 | 1 | 8 | yes | complemented |
| 30 | #5748 | — | 2 | 4 | no | — |
| 31 | #5748 | C22 | 1 | 2 | yes | — |
| 32 | #5748 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#909 | — | 2 | 4 | no | — |
| 34 | C2×#909 | C22 | 1 | 2 | yes | complemented |
| 35 | C2×#909 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#909 | C22 | 1 | 2 | yes | complemented |
| 37 | #5745 | C22 | 1 | 2 | yes | complemented |
| 38 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#869 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C3×#444 | C22 | 1 | 4 | yes | complemented |
| 41 | C3×#443 | C22 | 1 | 4 | yes | complemented |
| 42 | C3×#430 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×C3×#104 | C22 | 1 | 2 | yes | complemented |
| 44 | C3×C4×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #5143 | C22 | 1 | 8 | yes | complemented |
| 46 | #5141 | C22 | 1 | 8 | yes | complemented |
| 47 | C2×#824 | C22 | 1 | 2 | yes | complemented |
| 48 | #5132 | C22 | 1 | 2 | yes | complemented |
| 49 | #5125 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | C2×#805 | C22 | 1 | 2 | yes | complemented |
| 51 | #4898 | C22 | 1 | 8 | yes | complemented |
| 52 | #4896 | C22 | 1 | 8 | yes | complemented |
| 53 | #4827 | C22 | 1 | 4 | yes | complemented |
| 54 | #4826 | C22 | 1 | 8 | yes | complemented |
| 55 | #4826 | C22 | 1 | 4 | yes | complemented |
| 56 | #4826 | C22 | 1 | 8 | yes | complemented |
| 57 | #4825 | C22 | 1 | 4 | yes | complemented |
| 58 | #4822 | C22 | 1 | 4 | yes | complemented |
| 59 | #4717 | C22 | 1 | 4 | yes | complemented |
| 60 | #4715 | C22 | 1 | 4 | yes | complemented |
| 61 | #4700 | C22 | 1 | 4 | yes | complemented |
| 62 | #4699 | C22 | 1 | 2 | yes | complemented |
| 63 | #4693 | C22 | 1 | 2 | yes | complemented |
| 64 | #3586 | — | 3 | 2 | no | — |
| 65 | #3586 | — | 3 | 2 | no | — |
| 66 | #3293 | — | 3 | 4 | no | — |
| 67 | #3291 | — | 3 | 4 | no | — |
| 68 | #3289 | — | 3 | 8 | no | — |
| 69 | #3152 | — | 3 | 1 | no | — |
| 70 | #3069 | — | 3 | 2 | no | — |
| 71 | #3069 | — | 3 | 2 | no | — |
| 72 | #3018 | — | 3 | 2 | no | — |
| 73 | C2×#456 | — | 3 | 2 | no | — |
| 74 | #2956 | — | 3 | 1 | no | — |
| 75 | #2956 | D3 | 1 | 1 | yes | characteristic, complemented |
| 76 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 77 | #1010 | — | 2 | 4 | no | — |
| 78 | #1010 | — | 2 | 2 | no | — |
| 79 | #1010 | — | 2 | 4 | no | — |
| 80 | #1010 | — | 4 | 2 | no | — |
| 81 | #1010 | C23 | 1 | 8 | yes | — |
| 82 | #1010 | C23 | 1 | 4 | yes | — |
| 83 | #1009 | — | 2 | 2 | no | — |
| 84 | #1009 | C23 | 1 | 4 | yes | — |
| 85 | D3×#41 | — | 2 | 4 | no | — |
| 86 | D3×#41 | — | 4 | 2 | no | — |
| 87 | #1007 | — | 2 | 2 | no | — |
| 88 | C2×D3×Q8 | — | 2 | 2 | no | — |
| 89 | #1004 | — | 2 | 2 | no | — |
| 90 | #1004 | — | 4 | 2 | no | — |
| 91 | C2×#237 | — | 2 | 2 | no | — |
| 92 | C2×#237 | — | 4 | 2 | no | — |
| 93 | C2×#235 | — | 2 | 4 | no | — |
| 94 | C2×#235 | — | 2 | 2 | no | — |
| 95 | C2×#235 | C23 | 1 | 2 | yes | — |
| 96 | C2×#235 | C23 | 1 | 2 | yes | — |
| 97 | C22×Dic6 | — | 2 | 2 | no | — |
| 98 | C22×Dic6 | C23 | 1 | 2 | yes | — |
| 99 | C3×#137 | D4 | 1 | 4 | yes | complemented |
| 100 | C3×AGL(1,ℤ/8) | D4 | 1 | 4 | yes | complemented |
| 101 | C3×#135 | C23 | 1 | 4 | yes | — |
| 102 | C3×#131 | — | 2 | 4 | no | — |
| 103 | C3×#131 | C23 | 1 | 8 | yes | — |
| 104 | C2×C3×M16 | — | 2 | 4 | no | — |
| 105 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 106 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 107 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 108 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 109 | #951 | — | 2 | 4 | no | — |
| 110 | #951 | C23 | 1 | 8 | yes | — |
| 111 | #951 | C23 | 1 | 4 | yes | — |
| 112 | #950 | — | 2 | 4 | no | — |
| 113 | #949 | C23 | 1 | 4 | yes | — |
| 114 | C2×#216 | — | 2 | 2 | no | — |
| 115 | #942 | — | 2 | 2 | no | — |
| 116 | C2×#214 | — | 2 | 2 | no | — |
| 117 | #932 | — | 2 | 2 | no | — |
| 118 | #930 | — | 4 | 1 | no | — |
| 119 | C2×C4⋊Dic3 | — | 4 | 1 | no | — |
| 120 | C2×#208 | C23 | 1 | 2 | yes | — |
| 121 | #918 | — | 2 | 8 | no | — |
| 122 | D3×Q16 | — | 2 | 8 | no | — |
| 123 | #916 | — | 2 | 8 | no | — |
| 124 | #915 | — | 2 | 8 | no | — |
| 125 | #915 | — | 2 | 8 | no | — |
| 126 | D3×SD16 | — | 2 | 8 | no | — |
| 127 | #912 | — | 2 | 8 | no | — |
| 128 | #911 | — | 2 | 8 | no | — |
| 129 | #909 | — | 2 | 4 | no | — |
| 130 | #909 | — | 2 | 2 | no | — |
| 131 | #909 | — | 2 | 4 | no | — |
| 132 | #909 | — | 2 | 4 | no | — |
| 133 | #909 | — | 2 | 4 | no | — |
| 134 | #909 | — | 2 | 4 | no | — |
| 135 | #909 | — | 2 | 8 | no | — |
| 136 | #909 | — | 2 | 8 | no | — |
| 137 | #909 | — | 2 | 8 | no | — |
| 138 | #909 | D4 | 1 | 4 | yes | complemented |
| 139 | #909 | C23 | 1 | 4 | yes | — |
| 140 | #909 | C23 | 1 | 8 | yes | — |
| 141 | #908 | — | 2 | 2 | no | — |
| 142 | #908 | — | 2 | 8 | no | — |
| 143 | #908 | D4 | 1 | 4 | yes | complemented |
| 144 | #908 | C23 | 1 | 4 | yes | — |
| 145 | #907 | — | 2 | 4 | no | — |
| 146 | D3×M16 | — | 2 | 4 | no | — |
| 147 | C2×Dic12 | — | 2 | 2 | no | — |
| 148 | C2×Dic12 | — | 2 | 8 | no | — |
| 149 | C2×Dic12 | C23 | 1 | 4 | yes | — |
| 150 | C2×Dic12 | C23 | 1 | 4 | yes | — |
| 151 | #904 | — | 2 | 4 | no | — |
| 152 | #904 | — | 2 | 8 | no | — |
| 153 | #904 | — | 2 | 8 | no | — |
| 154 | #904 | C23 | 1 | 4 | yes | — |
| 155 | C2×#204 | — | 2 | 2 | no | — |
| 156 | C2×#204 | — | 2 | 8 | no | — |
| 157 | C2×#204 | C23 | 1 | 4 | yes | — |
| 158 | C2×#204 | C23 | 1 | 4 | yes | — |
| 159 | #901 | C23 | 1 | 8 | yes | — |
| 160 | #875 | C23 | 1 | 2 | yes | — |
| 161 | #874 | C23 | 1 | 1 | yes | characteristic |
| 162 | C4×D12 | — | 4 | 1 | no | — |
| 163 | #869 | — | 4 | 1 | no | — |
| 164 | #869 | C23 | 1 | 2 | yes | — |
| 165 | #869 | C23 | 1 | 1 | yes | characteristic |
| 166 | #869 | C23 | 1 | 2 | yes | — |
| 167 | C3×#108 | C23 | 1 | 4 | yes | — |
| 168 | C3×#104 | C23 | 1 | 4 | yes | — |
| 169 | C3×#104 | C23 | 1 | 4 | yes | — |
| 170 | C3×#97 | C23 | 1 | 2 | yes | — |
| 171 | C3×C4×C8 | C23 | 1 | 2 | yes | — |
| 172 | #824 | C23 | 1 | 4 | yes | — |
| 173 | #824 | C23 | 1 | 8 | yes | — |
| 174 | #823 | C23 | 1 | 4 | yes | — |
| 175 | #819 | C23 | 1 | 4 | yes | — |
| 176 | #805 | C23 | 1 | 4 | yes | — |
| 177 | #805 | C23 | 1 | 4 | yes | — |
| 178 | #585 | — | 3 | 2 | no | — |
| 179 | C2×2−1+4 | — | 3 | 2 | no | — |
| 180 | #578 | — | 3 | 8 | no | — |
| 181 | #578 | — | 3 | 8 | no | — |
| 182 | #578 | — | 6 | 4 | no | — |
| 183 | #578 | — | 6 | 4 | no | — |
| 184 | #577 | — | 3 | 8 | no | — |
| 185 | #577 | — | 3 | 8 | no | — |
| 186 | #577 | — | 6 | 4 | no | — |
| 187 | #577 | — | 6 | 4 | no | — |
| 188 | #575 | — | 3 | 2 | no | — |
| 189 | #575 | — | 3 | 1 | no | — |
| 190 | #575 | — | 3 | 2 | no | — |
| 191 | #575 | — | 6 | 4 | no | — |
| 192 | #575 | — | 6 | 4 | no | — |
| 193 | #575 | C2×D3 | 1 | 1 | yes | characteristic |
| 194 | C2×#137 | — | 3 | 2 | no | — |
| 195 | C2×#137 | — | 3 | 2 | no | — |
| 196 | C2×#137 | — | 3 | 2 | no | — |
| 197 | C2×#137 | — | 3 | 2 | no | — |
| 198 | C2×#137 | — | 6 | 4 | no | — |
| 199 | C2×#137 | — | 6 | 4 | no | — |
| 200 | #568 | — | 3 | 2 | no | — |
| 201 | #568 | C2×D3 | 1 | 2 | yes | complemented |
| 202 | #532 | — | 3 | 1 | no | — |
| 203 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 204 | #497 | — | 3 | 4 | no | — |
| 205 | #494 | — | 3 | 2 | no | — |
| 206 | #492 | — | 3 | 2 | no | — |
| 207 | #473 | — | 3 | 8 | no | — |
| 208 | #473 | — | 3 | 8 | no | — |
| 209 | #471 | — | 3 | 8 | no | — |
| 210 | #471 | — | 3 | 8 | no | — |
| 211 | #456 | — | 3 | 8 | no | — |
| 212 | #456 | — | 3 | 8 | no | — |
| 213 | #456 | — | 3 | 4 | no | — |
| 214 | #455 | — | 3 | 4 | no | — |
| 215 | #454 | — | 3 | 4 | no | — |
| 216 | #453 | — | 3 | 4 | no | — |
| 217 | #444 | — | 3 | 4 | no | — |
| 218 | #444 | C2×D3 | 1 | 4 | yes | complemented |
| 219 | #443 | — | 3 | 4 | no | — |
| 220 | #443 | C2×D3 | 1 | 4 | yes | complemented |
| 221 | #430 | — | 3 | 1 | no | — |
| 222 | #430 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 223 | C2×#104 | — | 3 | 2 | no | — |
| 224 | C2×#104 | C2×D3 | 1 | 2 | yes | complemented |
| 225 | #413 | — | 3 | 2 | no | — |
| 226 | C2×#101 | — | 3 | 2 | no | — |
| 227 | C4×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 228 | C3×#41 | — | 2 | 2 | no | — |
| 229 | C3×#41 | — | 2 | 2 | no | — |
| 230 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 231 | C3×#41 | C24 | 1 | 4 | yes | — |
| 232 | C2×C3×Q8 | C2×D4 | 1 | 2 | yes | — |
| 233 | C2×C3×D4 | — | 2 | 2 | no | — |
| 234 | C2×C3×D4 | C2×D4 | 1 | 2 | yes | — |
| 235 | C22×C3×C4 | — | 2 | 2 | no | — |
| 236 | C22×C3×C4 | — | 2 | 1 | no | — |
| 237 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 238 | C2×#67 | — | 2 | 2 | no | — |
| 239 | C2×#67 | — | 2 | 2 | no | — |
| 240 | C2×#67 | — | 4 | 4 | no | — |
| 241 | C2×#67 | — | 4 | 2 | no | — |
| 242 | C22×Dic3 | — | 2 | 2 | no | — |
| 243 | C22×Dic3 | — | 4 | 2 | no | — |
| 244 | #239 | — | 2 | 4 | no | — |
| 245 | #239 | — | 4 | 2 | no | — |
| 246 | D3×Q8 | — | 2 | 8 | no | — |
| 247 | D3×Q8 | — | 2 | 4 | no | — |
| 248 | D3×Q8 | — | 4 | 2 | no | — |
| 249 | D3×Q8 | — | 4 | 4 | no | — |
| 250 | #237 | — | 2 | 8 | no | — |
| 251 | #237 | — | 2 | 4 | no | — |
| 252 | #237 | — | 4 | 2 | no | — |
| 253 | #237 | — | 4 | 4 | no | — |
| 254 | #237 | — | 4 | 8 | no | — |
| 255 | #237 | — | 4 | 4 | no | — |
| 256 | #237 | — | 4 | 4 | no | — |
| 257 | #237 | — | 4 | 8 | no | — |
| 258 | D3×D4 | — | 2 | 4 | no | — |
| 259 | D3×D4 | — | 4 | 2 | no | — |
| 260 | D3×D4 | — | 4 | 4 | no | — |
| 261 | D3×D4 | — | 4 | 4 | no | — |
| 262 | #235 | — | 2 | 2 | no | — |
| 263 | #235 | — | 2 | 2 | no | — |
| 264 | #235 | — | 2 | 2 | no | — |
| 265 | #235 | — | 2 | 2 | no | — |
| 266 | #235 | — | 2 | 2 | no | — |
| 267 | #235 | — | 2 | 2 | no | — |
| 268 | #235 | — | 2 | 8 | no | — |
| 269 | #235 | — | 2 | 4 | no | — |
| 270 | #235 | — | 2 | 4 | no | — |
| 271 | #235 | — | 4 | 4 | no | — |
| 272 | #235 | — | 4 | 4 | no | — |
| 273 | #235 | — | 4 | 4 | no | — |
| 274 | #235 | C2×D4 | 1 | 4 | yes | — |
| 275 | #235 | C24 | 1 | 4 | yes | — |
| 276 | C2×D12 | — | 2 | 4 | no | — |
| 277 | C2×D12 | — | 4 | 1 | no | — |
| 278 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 279 | C2×D12 | C24 | 1 | 2 | yes | — |
| 280 | C2×C4×D3 | — | 2 | 2 | no | — |
| 281 | C2×C4×D3 | — | 2 | 2 | no | — |
| 282 | C2×C4×D3 | — | 4 | 4 | no | — |
| 283 | C2×C4×D3 | — | 4 | 2 | no | — |
| 284 | C2×Dic6 | — | 2 | 2 | no | — |
| 285 | C2×Dic6 | — | 2 | 2 | no | — |
| 286 | C2×Dic6 | — | 2 | 2 | no | — |
| 287 | C2×Dic6 | — | 2 | 2 | no | — |
| 288 | C2×Dic6 | — | 2 | 8 | no | — |
| 289 | C2×Dic6 | — | 2 | 4 | no | — |
| 290 | C2×Dic6 | — | 2 | 2 | no | — |
| 291 | C2×Dic6 | — | 4 | 4 | no | — |
| 292 | C2×Dic6 | — | 4 | 2 | no | — |
| 293 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 294 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 295 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 296 | C3×Q16 | C2×D4 | 1 | 4 | yes | — |
| 297 | C3×SD16 | C2×D4 | 1 | 8 | yes | — |
| 298 | C3×D8 | C2×D4 | 1 | 4 | yes | — |
| 299 | C3×M16 | — | 2 | 2 | no | — |
| 300 | C3×M16 | — | 2 | 8 | no | — |
| 301 | C3×M16 | C2×D4 | 1 | 4 | yes | — |
| 302 | C3×M16 | C2×D4 | 1 | 4 | yes | — |
| 303 | C3×M16 | C24 | 1 | 4 | yes | — |
| 304 | C2×C3×C8 | — | 2 | 2 | no | — |
| 305 | C2×C3×C8 | — | 2 | 8 | no | — |
| 306 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 307 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 308 | C3×C42 | — | 2 | 1 | no | — |
| 309 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 310 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 311 | #216 | — | 2 | 4 | no | — |
| 312 | #216 | — | 2 | 8 | no | — |
| 313 | #215 | — | 2 | 4 | no | — |
| 314 | #214 | — | 2 | 8 | no | — |
| 315 | #214 | — | 2 | 4 | no | — |
| 316 | #213 | — | 2 | 4 | no | — |
| 317 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 318 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 319 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 320 | C4⋊Dic3 | — | 4 | 1 | no | — |
| 321 | #208 | — | 2 | 2 | no | — |
| 322 | #208 | C24 | 1 | 4 | yes | — |
| 323 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 324 | Dic12 | — | 2 | 8 | no | — |
| 325 | Dic12 | — | 2 | 4 | no | — |
| 326 | Dic12 | — | 2 | 8 | no | — |
| 327 | Dic12 | — | 2 | 8 | no | — |
| 328 | Dic12 | C2×D4 | 1 | 4 | yes | — |
| 329 | D24 | — | 2 | 4 | no | — |
| 330 | D24 | C2×D4 | 1 | 4 | yes | — |
| 331 | #204 | — | 2 | 8 | no | — |
| 332 | #204 | — | 2 | 4 | no | — |
| 333 | #204 | — | 2 | 4 | no | — |
| 334 | #204 | — | 2 | 8 | no | — |
| 335 | #204 | — | 2 | 8 | no | — |
| 336 | #204 | C2×D4 | 1 | 8 | yes | — |
| 337 | ΓL(1,𝔽25) | — | 2 | 8 | no | — |
| 338 | D3×C8 | — | 2 | 8 | no | — |
| 339 | 2−1+4 | — | 3 | 8 | no | — |
| 340 | 2−1+4 | — | 3 | 4 | no | — |
| 341 | 2−1+4 | — | 6 | 2 | no | — |
| 342 | 2−1+4 | — | 6 | 4 | no | — |
| 343 | 2−1+4 | — | 6 | 4 | no | — |
| 344 | 2−1+4 | — | 6 | 2 | no | — |
| 345 | 2−1+4 | — | 12 | 2 | no | — |
| 346 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 347 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 348 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 349 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 350 | C2×#41 | — | 3 | 2 | no | — |
| 351 | C2×#41 | — | 3 | 2 | no | — |
| 352 | C2×#41 | — | 6 | 2 | no | — |
| 353 | C2×#41 | — | 6 | 4 | no | — |
| 354 | C2×#41 | — | 6 | 4 | no | — |
| 355 | C2×#41 | — | 6 | 2 | no | — |
| 356 | C2×#41 | — | 12 | 2 | no | — |
| 357 | C2×#41 | — | 12 | 2 | no | — |
| 358 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 359 | C22×Q8 | — | 3 | 2 | no | — |
| 360 | C22×Q8 | — | 6 | 2 | no | — |
| 361 | C22×Q8 | — | 6 | 2 | no | — |
| 362 | #137 | — | 3 | 8 | no | — |
| 363 | #137 | — | 3 | 4 | no | — |
| 364 | #137 | — | 3 | 4 | no | — |
| 365 | #137 | — | 3 | 8 | no | — |
| 366 | #137 | — | 3 | 4 | no | — |
| 367 | #137 | — | 6 | 8 | no | — |
| 368 | #137 | — | 6 | 8 | no | — |
| 369 | #137 | — | 6 | 8 | no | — |
| 370 | #137 | — | 6 | 2 | no | — |
| 371 | #137 | — | 6 | 4 | no | — |
| 372 | #137 | — | 6 | 4 | no | — |
| 373 | #137 | — | 6 | 2 | no | — |
| 374 | #137 | — | 6 | 8 | no | — |
| 375 | #137 | — | 6 | 8 | no | — |
| 376 | #137 | — | 6 | 8 | no | — |
| 377 | #137 | — | 6 | 4 | no | — |
| 378 | #137 | — | 6 | 4 | no | — |
| 379 | #137 | — | 6 | 4 | no | — |
| 380 | #137 | — | 6 | 4 | no | — |
| 381 | #137 | D12 | 1 | 4 | yes | complemented |
| 382 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 383 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 384 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 385 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 386 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 387 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 388 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 389 | AGL(1,ℤ/8) | D12 | 1 | 4 | yes | complemented |
| 390 | #135 | — | 3 | 4 | no | — |
| 391 | #135 | — | 6 | 8 | no | — |
| 392 | #135 | — | 6 | 8 | no | — |
| 393 | #135 | — | 6 | 4 | no | — |
| 394 | #135 | — | 6 | 4 | no | — |
| 395 | #135 | — | 6 | 8 | no | — |
| 396 | #135 | — | 6 | 8 | no | — |
| 397 | #135 | C22×D3 | 1 | 4 | yes | — |
| 398 | C2×Q16 | — | 3 | 4 | no | — |
| 399 | C2×Q16 | — | 3 | 4 | no | — |
| 400 | C2×Q16 | — | 6 | 8 | no | — |
| 401 | C2×Q16 | — | 6 | 2 | no | — |
| 402 | C2×Q16 | — | 6 | 2 | no | — |
| 403 | C2×Q16 | — | 6 | 8 | no | — |
| 404 | C2×SD16 | — | 3 | 4 | no | — |
| 405 | C2×SD16 | — | 3 | 4 | no | — |
| 406 | C2×SD16 | — | 6 | 8 | no | — |
| 407 | C2×SD16 | — | 6 | 2 | no | — |
| 408 | C2×SD16 | — | 6 | 2 | no | — |
| 409 | C2×SD16 | — | 6 | 8 | no | — |
| 410 | #131 | — | 2 | 4 | no | — |
| 411 | #131 | — | 3 | 8 | no | — |
| 412 | #131 | — | 6 | 4 | no | — |
| 413 | #131 | C22×D3 | 1 | 8 | yes | — |
| 414 | C2×M16 | — | 2 | 4 | no | — |
| 415 | C2×M16 | — | 3 | 2 | no | — |
| 416 | C2×M16 | — | 6 | 4 | no | — |
| 417 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 418 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 419 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 420 | C4⋊Q8 | — | 3 | 2 | no | — |
| 421 | C4⋊Q8 | — | 3 | 2 | no | — |
| 422 | C4⋊Q8 | — | 3 | 1 | no | — |
| 423 | C4⋊Q8 | — | 12 | 1 | no | — |
| 424 | #127 | — | 3 | 1 | no | — |
| 425 | #124 | — | 3 | 2 | no | — |
| 426 | #121 | — | 12 | 1 | no | — |
| 427 | C4×D4 | — | 12 | 1 | no | — |
| 428 | C2×C4⋊C4 | — | 12 | 1 | no | — |
| 429 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 430 | #108 | — | 3 | 4 | no | — |
| 431 | #108 | C22×D3 | 1 | 4 | yes | — |
| 432 | #104 | — | 3 | 4 | no | — |
| 433 | #104 | — | 3 | 4 | no | — |
| 434 | #104 | C22×D3 | 1 | 4 | yes | — |
| 435 | #104 | C22×D3 | 1 | 4 | yes | — |
| 436 | #101 | — | 3 | 8 | no | — |
| 437 | #101 | — | 3 | 4 | no | — |
| 438 | #100 | — | 3 | 4 | no | — |
| 439 | #97 | C22×D3 | 1 | 2 | yes | — |
| 440 | C4×C8 | C22×D3 | 1 | 2 | yes | — |
| 441 | C23×C3 | — | 2 | 2 | no | — |
| 442 | C23×C3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 443 | C22×D3 | — | 2 | 2 | no | — |
| 444 | C22×D3 | — | 2 | 2 | no | — |
| 445 | C22×D3 | — | 4 | 4 | no | — |
| 446 | C3×Q8 | — | 2 | 2 | no | — |
| 447 | C3×Q8 | C22×D4 | 1 | 4 | yes | — |
| 448 | C3×D4 | — | 2 | 4 | no | — |
| 449 | C3×D4 | — | 2 | 4 | no | — |
| 450 | C3×D4 | — | 2 | 2 | no | — |
| 451 | C3×D4 | C22×D4 | 1 | 4 | yes | — |
| 452 | C2×C3×C4 | — | 2 | 2 | no | — |
| 453 | C2×C3×C4 | — | 2 | 1 | no | — |
| 454 | C2×C3×C4 | — | 2 | 4 | no | — |
| 455 | C2×C3×C4 | — | 2 | 4 | no | — |
| 456 | C2×C3×C4 | — | 2 | 1 | no | — |
| 457 | C2×C3×C4 | — | 4 | 2 | no | — |
| 458 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 459 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 460 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 461 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 462 | #67 | — | 2 | 4 | no | — |
| 463 | #67 | — | 2 | 4 | no | — |
| 464 | #67 | — | 4 | 4 | no | — |
| 465 | #67 | — | 4 | 4 | no | — |
| 466 | #67 | — | 4 | 8 | no | — |
| 467 | #67 | — | 4 | 2 | no | — |
| 468 | #67 | — | 4 | 2 | no | — |
| 469 | C2×Dic3 | — | 2 | 2 | no | — |
| 470 | C2×Dic3 | — | 2 | 4 | no | — |
| 471 | C2×Dic3 | — | 2 | 2 | no | — |
| 472 | C2×Dic3 | — | 4 | 8 | no | — |
| 473 | C2×Dic3 | — | 4 | 4 | no | — |
| 474 | C2×Dic3 | — | 4 | 2 | no | — |
| 475 | C2×Dic3 | — | 4 | 2 | no | — |
| 476 | D12 | — | 2 | 2 | no | — |
| 477 | D12 | — | 2 | 2 | no | — |
| 478 | D12 | — | 2 | 2 | no | — |
| 479 | D12 | — | 4 | 4 | no | — |
| 480 | D12 | — | 8 | 2 | no | — |
| 481 | D12 | C22×D4 | 1 | 4 | yes | — |
| 482 | C4×D3 | — | 2 | 4 | no | — |
| 483 | C4×D3 | — | 2 | 4 | no | — |
| 484 | C4×D3 | — | 4 | 4 | no | — |
| 485 | C4×D3 | — | 4 | 4 | no | — |
| 486 | C4×D3 | — | 4 | 8 | no | — |
| 487 | C4×D3 | — | 4 | 2 | no | — |
| 488 | C4×D3 | — | 4 | 2 | no | — |
| 489 | Dic6 | — | 2 | 2 | no | — |
| 490 | Dic6 | — | 2 | 4 | no | — |
| 491 | Dic6 | — | 2 | 2 | no | — |
| 492 | Dic6 | — | 2 | 4 | no | — |
| 493 | Dic6 | — | 2 | 2 | no | — |
| 494 | Dic6 | — | 4 | 8 | no | — |
| 495 | Dic6 | — | 4 | 4 | no | — |
| 496 | Dic6 | — | 4 | 2 | no | — |
| 497 | Dic6 | — | 4 | 2 | no | — |
| 498 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 499 | C3×C8 | — | 2 | 4 | no | — |
| 500 | C3×C8 | C22×D4 | 1 | 4 | yes | — |
| 501 | C3×C8 | C22×D4 | 1 | 4 | yes | — |
| 502 | C3⋊C8 | — | 2 | 4 | no | — |
| 503 | #41 | — | 2 | 2 | no | — |
| 504 | #41 | — | 2 | 2 | no | — |
| 505 | #41 | — | 3 | 4 | no | — |
| 506 | #41 | — | 3 | 4 | no | — |
| 507 | #41 | — | 6 | 8 | no | — |
| 508 | #41 | — | 6 | 4 | no | — |
| 509 | #41 | — | 6 | 4 | no | — |
| 510 | #41 | — | 6 | 2 | no | — |
| 511 | #41 | — | 6 | 2 | no | — |
| 512 | #41 | — | 6 | 4 | no | — |
| 513 | #41 | — | 6 | 8 | no | — |
| 514 | #41 | — | 6 | 4 | no | — |
| 515 | #41 | — | 6 | 2 | no | — |
| 516 | #41 | — | 6 | 2 | no | — |
| 517 | #41 | — | 6 | 2 | no | — |
| 518 | #41 | — | 6 | 2 | no | — |
| 519 | #41 | — | 12 | 4 | no | — |
| 520 | #41 | — | 12 | 4 | no | — |
| 521 | #41 | — | 12 | 4 | no | — |
| 522 | #41 | — | 12 | 4 | no | — |
| 523 | #41 | — | 12 | 8 | no | — |
| 524 | #41 | — | 12 | 4 | no | — |
| 525 | #41 | — | 12 | 4 | no | — |
| 526 | #41 | — | 12 | 8 | no | — |
| 527 | #41 | — | 12 | 2 | no | — |
| 528 | #41 | — | 12 | 2 | no | — |
| 529 | #41 | C2×D12 | 1 | 4 | yes | — |
| 530 | #41 | C23×D3 | 1 | 4 | yes | — |
| 531 | C2×Q8 | — | 3 | 2 | no | — |
| 532 | C2×Q8 | — | 3 | 2 | no | — |
| 533 | C2×Q8 | — | 3 | 4 | no | — |
| 534 | C2×Q8 | — | 6 | 8 | no | — |
| 535 | C2×Q8 | — | 6 | 4 | no | — |
| 536 | C2×Q8 | — | 6 | 2 | no | — |
| 537 | C2×Q8 | — | 6 | 8 | no | — |
| 538 | C2×Q8 | — | 6 | 4 | no | — |
| 539 | C2×Q8 | — | 6 | 2 | no | — |
| 540 | C2×Q8 | — | 6 | 2 | no | — |
| 541 | C2×Q8 | — | 6 | 2 | no | — |
| 542 | C2×Q8 | — | 6 | 2 | no | — |
| 543 | C2×Q8 | — | 12 | 2 | no | — |
| 544 | C2×Q8 | — | 12 | 4 | no | — |
| 545 | C2×Q8 | — | 12 | 4 | no | — |
| 546 | C2×Q8 | — | 12 | 2 | no | — |
| 547 | C2×Q8 | C2×D12 | 1 | 2 | yes | — |
| 548 | C2×D4 | — | 2 | 2 | no | — |
| 549 | C2×D4 | — | 3 | 2 | no | — |
| 550 | C2×D4 | — | 3 | 2 | no | — |
| 551 | C2×D4 | — | 6 | 4 | no | — |
| 552 | C2×D4 | — | 6 | 2 | no | — |
| 553 | C2×D4 | — | 6 | 4 | no | — |
| 554 | C2×D4 | — | 6 | 2 | no | — |
| 555 | C2×D4 | — | 12 | 1 | no | — |
| 556 | C2×D4 | — | 12 | 4 | no | — |
| 557 | C2×D4 | — | 12 | 2 | no | — |
| 558 | C2×D4 | — | 12 | 4 | no | — |
| 559 | C2×D4 | — | 12 | 4 | no | — |
| 560 | C2×D4 | — | 12 | 2 | no | — |
| 561 | C2×D4 | C2×D12 | 1 | 2 | yes | — |
| 562 | C22×C4 | — | 2 | 2 | no | — |
| 563 | C22×C4 | — | 2 | 1 | no | — |
| 564 | C22×C4 | — | 6 | 2 | no | — |
| 565 | C22×C4 | — | 6 | 2 | no | — |
| 566 | C22×C4 | — | 6 | 2 | no | — |
| 567 | C22×C4 | — | 12 | 4 | no | — |
| 568 | C22×C4 | — | 12 | 2 | no | — |
| 569 | C22×C4 | — | 12 | 2 | no | — |
| 570 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 571 | Q16 | — | 3 | 4 | no | — |
| 572 | Q16 | — | 6 | 8 | no | — |
| 573 | Q16 | — | 6 | 4 | no | — |
| 574 | Q16 | — | 6 | 8 | no | — |
| 575 | Q16 | — | 6 | 4 | no | — |
| 576 | Q16 | — | 6 | 8 | no | — |
| 577 | Q16 | — | 6 | 8 | no | — |
| 578 | Q16 | C2×D12 | 1 | 4 | yes | — |
| 579 | SD16 | — | 3 | 8 | no | — |
| 580 | SD16 | — | 6 | 8 | no | — |
| 581 | SD16 | — | 6 | 4 | no | — |
| 582 | SD16 | — | 6 | 4 | no | — |
| 583 | SD16 | — | 6 | 4 | no | — |
| 584 | SD16 | — | 6 | 8 | no | — |
| 585 | SD16 | — | 6 | 4 | no | — |
| 586 | SD16 | — | 6 | 8 | no | — |
| 587 | SD16 | — | 6 | 8 | no | — |
| 588 | SD16 | C2×D12 | 1 | 8 | yes | — |
| 589 | D8 | — | 3 | 4 | no | — |
| 590 | D8 | — | 6 | 4 | no | — |
| 591 | D8 | — | 6 | 4 | no | — |
| 592 | D8 | C2×D12 | 1 | 4 | yes | — |
| 593 | M16 | — | 2 | 2 | no | — |
| 594 | M16 | — | 2 | 8 | no | — |
| 595 | M16 | — | 3 | 4 | no | — |
| 596 | M16 | — | 6 | 2 | no | — |
| 597 | M16 | — | 6 | 8 | no | — |
| 598 | M16 | C2×D12 | 1 | 4 | yes | — |
| 599 | M16 | D3×D4 | 1 | 4 | yes | — |
| 600 | M16 | C23×D3 | 1 | 4 | yes | — |
| 601 | C2×C8 | — | 2 | 2 | no | — |
| 602 | C2×C8 | — | 2 | 8 | no | — |
| 603 | C2×C8 | — | 6 | 2 | no | — |
| 604 | C2×C8 | — | 6 | 8 | no | — |
| 605 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 606 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 607 | C4⋊C4 | — | 12 | 2 | no | — |
| 608 | C4⋊C4 | — | 12 | 2 | no | — |
| 609 | C4⋊C4 | — | 12 | 1 | no | — |
| 610 | C22⋊C4 | — | 12 | 2 | no | — |
| 611 | C42 | — | 2 | 1 | no | — |
| 612 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 613 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 614 | C22×C3 | — | 2 | 4 | no | — |
| 615 | C22×C3 | — | 4 | 1 | no | — |
| 616 | C22×C3 | — | 8 | 2 | no | — |
| 617 | C22×C3 | D42 | 1 | 2 | yes | — |
| 618 | C22×C3 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 619 | C2×D3 | — | 2 | 4 | no | — |
| 620 | C2×D3 | — | 4 | 2 | no | — |
| 621 | C2×D3 | — | 8 | 2 | no | — |
| 622 | C2×D3 | — | 8 | 2 | no | — |
| 623 | C2×D3 | — | 16 | 4 | no | — |
| 624 | C3×C4 | — | 2 | 2 | no | — |
| 625 | C3×C4 | — | 2 | 4 | no | — |
| 626 | C3×C4 | — | 4 | 1 | no | — |
| 627 | C3×C4 | D42 | 1 | 2 | yes | — |
| 628 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 629 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 630 | Dic3 | — | 2 | 4 | no | — |
| 631 | Dic3 | — | 4 | 4 | no | — |
| 632 | Dic3 | — | 4 | 2 | no | — |
| 633 | C23 | — | 2 | 2 | no | — |
| 634 | C23 | — | 6 | 2 | no | — |
| 635 | C23 | — | 6 | 2 | no | — |
| 636 | C23 | — | 12 | 4 | no | — |
| 637 | C23 | #1009 | 1 | 1 | yes | characteristic |
| 638 | Q8 | — | 2 | 2 | no | — |
| 639 | Q8 | — | 3 | 4 | no | — |
| 640 | Q8 | — | 6 | 2 | no | — |
| 641 | Q8 | — | 6 | 4 | no | — |
| 642 | Q8 | — | 6 | 2 | no | — |
| 643 | Q8 | — | 6 | 4 | no | — |
| 644 | Q8 | — | 6 | 2 | no | — |
| 645 | Q8 | — | 12 | 8 | no | — |
| 646 | Q8 | — | 12 | 4 | no | — |
| 647 | Q8 | — | 12 | 2 | no | — |
| 648 | Q8 | — | 12 | 2 | no | — |
| 649 | Q8 | C22×D12 | 1 | 4 | yes | — |
| 650 | D4 | — | 2 | 4 | no | — |
| 651 | D4 | — | 2 | 4 | no | — |
| 652 | D4 | — | 2 | 2 | no | — |
| 653 | D4 | — | 3 | 4 | no | — |
| 654 | D4 | — | 6 | 4 | no | — |
| 655 | D4 | — | 6 | 4 | no | — |
| 656 | D4 | — | 6 | 2 | no | — |
| 657 | D4 | — | 6 | 2 | no | — |
| 658 | D4 | — | 6 | 2 | no | — |
| 659 | D4 | — | 12 | 4 | no | — |
| 660 | D4 | — | 12 | 4 | no | — |
| 661 | D4 | — | 12 | 4 | no | — |
| 662 | D4 | — | 12 | 8 | no | — |
| 663 | D4 | — | 12 | 2 | no | — |
| 664 | D4 | — | 12 | 2 | no | — |
| 665 | D4 | — | 24 | 2 | no | — |
| 666 | D4 | C22×D12 | 1 | 4 | yes | — |
| 667 | C2×C4 | — | 2 | 1 | no | — |
| 668 | C2×C4 | — | 2 | 2 | no | — |
| 669 | C2×C4 | — | 2 | 4 | no | — |
| 670 | C2×C4 | — | 2 | 4 | no | — |
| 671 | C2×C4 | — | 2 | 1 | no | — |
| 672 | C2×C4 | — | 4 | 2 | no | — |
| 673 | C2×C4 | — | 6 | 2 | no | — |
| 674 | C2×C4 | — | 6 | 4 | no | — |
| 675 | C2×C4 | — | 6 | 4 | no | — |
| 676 | C2×C4 | — | 6 | 2 | no | — |
| 677 | C2×C4 | — | 6 | 4 | no | — |
| 678 | C2×C4 | — | 12 | 4 | no | — |
| 679 | C2×C4 | — | 12 | 4 | no | — |
| 680 | C2×C4 | — | 12 | 8 | no | — |
| 681 | C2×C4 | — | 12 | 4 | no | — |
| 682 | C2×C4 | — | 12 | 8 | no | — |
| 683 | C2×C4 | — | 12 | 2 | no | — |
| 684 | C2×C4 | — | 12 | 2 | no | — |
| 685 | C2×C4 | — | 12 | 2 | no | — |
| 686 | C2×C4 | — | 12 | 2 | no | — |
| 687 | C2×C4 | C22×D12 | 1 | 2 | yes | — |
| 688 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 689 | C2×C4 | #1009 | 1 | 1 | yes | characteristic |
| 690 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 691 | C8 | — | 2 | 4 | no | — |
| 692 | C8 | — | 6 | 4 | no | — |
| 693 | C8 | C22×D12 | 1 | 4 | yes | — |
| 694 | C8 | C2×D3×D4 | 1 | 4 | yes | — |
| 695 | C2×C3 | — | 2 | 1 | no | — |
| 696 | C2×C3 | — | 2 | 2 | no | — |
| 697 | C2×C3 | — | 4 | 4 | no | — |
| 698 | C2×C3 | C2×D42 | 1 | 1 | yes | characteristic |
| 699 | D3 | — | 4 | 4 | no | — |
| 700 | D3 | — | 8 | 2 | no | — |
| 701 | C22 | — | 2 | 4 | no | — |
| 702 | C22 | — | 4 | 1 | no | — |
| 703 | C22 | — | 6 | 4 | no | — |
| 704 | C22 | — | 8 | 2 | no | — |
| 705 | C22 | — | 12 | 2 | no | — |
| 706 | C22 | — | 24 | 2 | no | — |
| 707 | C22 | — | 24 | 2 | no | — |
| 708 | C22 | — | 48 | 4 | no | — |
| 709 | C22 | D4×D12 | 1 | 2 | yes | — |
| 710 | C22 | C2×#1009 | 1 | 1 | yes | characteristic |
| 711 | C4 | — | 2 | 2 | no | — |
| 712 | C4 | — | 2 | 4 | no | — |
| 713 | C4 | — | 4 | 1 | no | — |
| 714 | C4 | — | 6 | 4 | no | — |
| 715 | C4 | — | 12 | 2 | no | — |
| 716 | C4 | — | 12 | 4 | no | — |
| 717 | C4 | D4×D12 | 1 | 2 | yes | — |
| 718 | C4 | C23×D12 | 1 | 1 | yes | characteristic |
| 719 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 720 | C3 | #61111 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 721 | C2 | — | 2 | 1 | no | — |
| 722 | C2 | — | 2 | 2 | no | — |
| 723 | C2 | — | 4 | 4 | no | — |
| 724 | C2 | — | 12 | 4 | no | — |
| 725 | C2 | — | 24 | 2 | no | — |
| 726 | C2 | C2×D4×D12 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #87201 | C2 | semidirect |
| 2. #87168 | C2 | semidirect |
| 3. C3×#2956 | C2 | semidirect |
| 4. #83816 | C2 | semidirect |
| 5. #79901 | C2 | semidirect |
| 6. #79895 | C2 | semidirect |
| 7. #79893 | C2 | semidirect |
| 8. #79262 | C2 | semidirect |
| 9. C2×#4826 | C2 | semidirect |
| 10. #78986 | C2 | semidirect |
| 11. #78541 | C2 | semidirect |
| 12. #78538 | C2 | semidirect |
| 14. #5964 | C22 | semidirect |
| 17. C3×#568 | C22 | semidirect |
| 18. C2×#951 | C22 | semidirect |
| 24. #5771 | C22 | semidirect |
| 25. #5770 | C22 | semidirect |
| 27. #5753 | C22 | semidirect |
| 29. #5751 | C22 | semidirect |
| 34. C2×#909 | C22 | semidirect |
| 35. C2×#909 | C22 | semidirect |
| 36. C2×#909 | C22 | semidirect |
| 37. #5745 | C22 | semidirect |
| 39. C2×#869 | C22 | semidirect |
| 40. C3×#444 | C22 | semidirect |
| 41. C3×#443 | C22 | semidirect |
| 42. C3×#430 | C22 | semidirect |
| 43. C2×C3×#104 | C22 | semidirect |
| 44. C3×C4×M16 | C22 | semidirect |
| 45. #5143 | C22 | semidirect |
| 46. #5141 | C22 | semidirect |
| 47. C2×#824 | C22 | semidirect |
| 48. #5132 | C22 | semidirect |
| 49. #5125 | C22 | semidirect |
| 50. C2×#805 | C22 | semidirect |
| 51. #4898 | C22 | semidirect |
| 52. #4896 | C22 | semidirect |
| 53. #4827 | C22 | semidirect |
| 54. #4826 | C22 | semidirect |
| 55. #4826 | C22 | semidirect |
| 56. #4826 | C22 | semidirect |
| 57. #4825 | C22 | semidirect |
| 58. #4822 | C22 | semidirect |
| 59. #4717 | C22 | semidirect |
| 60. #4715 | C22 | semidirect |
| 61. #4700 | C22 | semidirect |
| 62. #4699 | C22 | semidirect |
| 63. #4693 | C22 | semidirect |
| 75. #2956 | D3 | semidirect |
| 99. C3×#137 | D4 | semidirect |
| 100. C3×AGL(1,ℤ/8) | D4 | semidirect |
| 138. #909 | D4 | semidirect |
| 143. #908 | D4 | semidirect |
| 201. #568 | C2×D3 | semidirect |
| 218. #444 | C2×D3 | semidirect |
| 220. #443 | C2×D3 | semidirect |
| 222. #430 | C2×D3 | semidirect |
| 224. C2×#104 | C2×D3 | semidirect |
| 227. C4×M16 | C2×D3 | semidirect |
| 381. #137 | D12 | semidirect |
| 389. AGL(1,ℤ/8) | D12 | semidirect |
| 720. C3 | #61111 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87201 | 2 |
| #87168 | 2 |
| C3×#2956 | 2 |
| #83816 | 2 |
| #79901 | 2 |
| #79895 | 2 |
| #79893 | 2 |
| #79262 | 2 |
| C2×#4826 | 2 |
| #78986 | 2 |
| #78541 | 2 |
| #78538 | 2 |
| #61111 | 3 |