Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1000 conjugacy classes of subgroups.
The subgroup lattice has 722 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #83814 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #82927 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #78720 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #78637 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#1891 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72023 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #71715 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #70140 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #69992 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #69988 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #69987 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #69038 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #69021 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #69020 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #69018 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #30434 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C23×D12 | C22 | 1 | 1 | yes | characteristic |
| 18 | C3×#568 | C22 | 1 | 1 | yes | characteristic, complemented |
| 19 | C3×#525 | C22 | 1 | 1 | yes | characteristic |
| 20 | #5822 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#949 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×#949 | C22 | 1 | 1 | yes | characteristic |
| 23 | #5791 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#908 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#908 | C22 | 1 | 1 | yes | characteristic |
| 26 | #5745 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | C3×#413 | C22 | 1 | 1 | yes | characteristic, complemented |
| 28 | C3×#407 | C22 | 1 | 1 | yes | characteristic |
| 29 | C3×#407 | C22 | 1 | 1 | yes | characteristic |
| 30 | #5236 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | #5207 | C22 | 1 | 1 | yes | characteristic |
| 32 | #5207 | C22 | 1 | 1 | yes | characteristic |
| 33 | #5142 | — | 2 | 2 | no | — |
| 34 | #5141 | — | 2 | 2 | no | — |
| 35 | #5132 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #5131 | C22 | 1 | 1 | yes | characteristic |
| 37 | #5131 | C22 | 1 | 1 | yes | characteristic |
| 38 | C2×#823 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#823 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×#823 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×#823 | C22 | 1 | 1 | yes | characteristic |
| 42 | #5125 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #5124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #5124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #5046 | — | 2 | 2 | no | — |
| 46 | #5036 | — | 2 | 2 | no | — |
| 47 | #5005 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #5001 | C22 | 1 | 1 | yes | characteristic |
| 49 | #5001 | C22 | 1 | 1 | yes | characteristic |
| 50 | #4754 | — | 2 | 2 | no | — |
| 51 | #4749 | — | 2 | 2 | no | — |
| 52 | #4732 | — | 2 | 2 | no | — |
| 53 | #4731 | — | 2 | 2 | no | — |
| 54 | C3×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C3×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C3⋊#338 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #4559 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #4556 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #4531 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #3068 | — | 3 | 1 | no | — |
| 61 | #3068 | — | 3 | 1 | no | — |
| 62 | #3003 | — | 3 | 1 | no | — |
| 63 | #3003 | — | 3 | 1 | no | — |
| 64 | #2091 | — | 3 | 1 | no | — |
| 65 | #2081 | — | 3 | 1 | no | — |
| 66 | #2081 | — | 3 | 1 | no | — |
| 67 | #2048 | — | 3 | 1 | no | — |
| 68 | #2048 | — | 3 | 1 | no | — |
| 69 | #2010 | — | 3 | 1 | no | — |
| 70 | #1903 | — | 3 | 1 | no | — |
| 71 | #1903 | — | 3 | 1 | no | — |
| 72 | #1891 | — | 3 | 1 | no | — |
| 73 | #1891 | D3 | 1 | 1 | yes | characteristic, complemented |
| 74 | #1783 | — | 3 | 1 | no | — |
| 75 | C24×D3 | — | 2 | 1 | no | — |
| 76 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 77 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 79 | C22×D12 | — | 2 | 2 | no | — |
| 80 | C22×D12 | — | 2 | 2 | no | — |
| 81 | C22×D12 | — | 2 | 1 | no | — |
| 82 | C22×D12 | — | 4 | 1 | no | — |
| 83 | C22×D12 | — | 4 | 1 | no | — |
| 84 | C22×D12 | — | 4 | 1 | no | — |
| 85 | C22×D12 | — | 4 | 1 | no | — |
| 86 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 87 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 88 | C3×#131 | — | 2 | 2 | no | — |
| 89 | C3×#131 | — | 4 | 1 | no | — |
| 90 | C2×C3×M16 | — | 4 | 1 | no | — |
| 91 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 93 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 95 | C3×#123 | — | 2 | 1 | no | — |
| 96 | C3×C22⋊Q8 | — | 2 | 1 | no | — |
| 97 | C3×#121 | — | 2 | 1 | no | — |
| 98 | C3×#120 | — | 2 | 1 | no | — |
| 99 | C3×C4×D4 | — | 4 | 1 | no | — |
| 100 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 101 | #953 | — | 2 | 1 | no | — |
| 102 | #951 | — | 2 | 1 | no | — |
| 103 | #950 | — | 4 | 1 | no | — |
| 104 | #949 | — | 2 | 2 | no | — |
| 105 | #949 | — | 2 | 1 | no | — |
| 106 | #949 | — | 4 | 1 | no | — |
| 107 | #949 | — | 4 | 1 | no | — |
| 108 | #949 | — | 4 | 1 | no | — |
| 109 | #942 | — | 2 | 1 | no | — |
| 110 | C2×#215 | — | 2 | 1 | no | — |
| 111 | C2×#215 | D4 | 1 | 2 | yes | complemented |
| 112 | #932 | — | 2 | 1 | no | — |
| 113 | C2×#213 | — | 2 | 1 | no | — |
| 114 | C2×#213 | D4 | 1 | 2 | yes | complemented |
| 115 | #930 | — | 2 | 1 | no | — |
| 116 | #929 | — | 2 | 1 | no | — |
| 117 | C4×#67 | — | 4 | 1 | no | — |
| 118 | #926 | C23 | 1 | 1 | yes | characteristic |
| 119 | #924 | — | 2 | 1 | no | — |
| 120 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 121 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 122 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 123 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 124 | #908 | — | 2 | 2 | no | — |
| 125 | #908 | — | 4 | 1 | no | — |
| 126 | #908 | — | 4 | 1 | no | — |
| 127 | #908 | — | 4 | 1 | no | — |
| 128 | #907 | — | 2 | 2 | no | — |
| 129 | D3×M16 | — | 4 | 1 | no | — |
| 130 | C2×D24 | — | 2 | 1 | no | — |
| 131 | C2×D24 | D4 | 1 | 2 | yes | complemented |
| 132 | C2×#204 | — | 2 | 1 | no | — |
| 133 | C2×#204 | D4 | 1 | 2 | yes | complemented |
| 134 | #901 | — | 4 | 1 | no | — |
| 135 | C3×#101 | — | 2 | 1 | no | — |
| 136 | C3×#100 | — | 2 | 1 | no | — |
| 137 | C3×C22⋊C8 | — | 2 | 2 | no | — |
| 138 | C3×C22⋊C8 | — | 4 | 1 | no | — |
| 139 | #837 | — | 4 | 1 | no | — |
| 140 | #830 | — | 2 | 2 | no | — |
| 141 | #830 | — | 4 | 1 | no | — |
| 142 | #824 | — | 2 | 1 | no | — |
| 143 | #823 | — | 2 | 2 | no | — |
| 144 | #823 | — | 2 | 2 | no | — |
| 145 | #823 | — | 2 | 1 | no | — |
| 146 | #823 | — | 4 | 1 | no | — |
| 147 | #823 | — | 4 | 1 | no | — |
| 148 | #822 | — | 2 | 2 | no | — |
| 149 | #822 | — | 4 | 1 | no | — |
| 150 | #821 | — | 2 | 2 | no | — |
| 151 | #821 | — | 2 | 2 | no | — |
| 152 | #819 | — | 2 | 2 | no | — |
| 153 | #809 | — | 2 | 2 | no | — |
| 154 | #809 | — | 2 | 2 | no | — |
| 155 | #805 | — | 4 | 1 | no | — |
| 156 | C23×D4 | — | 3 | 1 | no | — |
| 157 | #575 | — | 3 | 1 | no | — |
| 158 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 159 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 160 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 161 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 162 | #568 | — | 3 | 1 | no | — |
| 163 | #568 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 164 | #525 | — | 3 | 1 | no | — |
| 165 | #525 | C2×D3 | 1 | 1 | yes | characteristic |
| 166 | #472 | — | 6 | 2 | no | — |
| 167 | #472 | — | 6 | 2 | no | — |
| 168 | #471 | — | 6 | 2 | no | — |
| 169 | #471 | — | 6 | 2 | no | — |
| 170 | #450 | — | 6 | 2 | no | — |
| 171 | #450 | — | 6 | 2 | no | — |
| 172 | #447 | — | 6 | 2 | no | — |
| 173 | #447 | — | 6 | 2 | no | — |
| 174 | #430 | — | 3 | 1 | no | — |
| 175 | #430 | — | 3 | 1 | no | — |
| 176 | #430 | — | 3 | 1 | no | — |
| 177 | #421 | — | 3 | 1 | no | — |
| 178 | #421 | — | 3 | 1 | no | — |
| 179 | #418 | — | 3 | 1 | no | — |
| 180 | #418 | — | 3 | 1 | no | — |
| 181 | #418 | — | 3 | 1 | no | — |
| 182 | #418 | — | 3 | 1 | no | — |
| 183 | #413 | — | 3 | 1 | no | — |
| 184 | #413 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 185 | C2×#100 | — | 3 | 1 | no | — |
| 186 | C2×#100 | — | 3 | 1 | no | — |
| 187 | C2×#100 | — | 3 | 1 | no | — |
| 188 | C2×#100 | — | 3 | 1 | no | — |
| 189 | #407 | — | 3 | 1 | no | — |
| 190 | #407 | — | 3 | 1 | no | — |
| 191 | #407 | C2×D3 | 1 | 1 | yes | characteristic |
| 192 | #407 | C2×D3 | 1 | 1 | yes | characteristic |
| 193 | #344 | — | 3 | 1 | no | — |
| 194 | #344 | — | 3 | 1 | no | — |
| 195 | #344 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 196 | #344 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 197 | #338 | — | 3 | 1 | no | — |
| 198 | H(3,ℤ/4) | — | 3 | 1 | no | — |
| 199 | C24×C3 | #41 | 1 | 1 | yes | characteristic |
| 200 | C23×D3 | — | 2 | 1 | no | — |
| 201 | C23×D3 | — | 2 | 1 | no | — |
| 202 | C23×D3 | — | 4 | 2 | no | — |
| 203 | C23×D3 | — | 4 | 2 | no | — |
| 204 | C23×D3 | — | 4 | 2 | no | — |
| 205 | C23×D3 | — | 8 | 4 | no | — |
| 206 | C3×#41 | — | 2 | 1 | no | — |
| 207 | C3×#41 | — | 2 | 1 | no | — |
| 208 | C3×#41 | — | 2 | 1 | no | — |
| 209 | C3×#41 | — | 2 | 1 | no | — |
| 210 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×C3×D4 | — | 2 | 1 | no | — |
| 212 | C2×C3×D4 | — | 4 | 1 | no | — |
| 213 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 214 | C22×C3×C4 | — | 2 | 1 | no | — |
| 215 | C22×C3×C4 | — | 2 | 1 | no | — |
| 216 | C22×C3×C4 | — | 2 | 1 | no | — |
| 217 | C22×C3×C4 | — | 2 | 1 | no | — |
| 218 | C22×C3×C4 | — | 2 | 1 | no | — |
| 219 | C22×C3×C4 | — | 2 | 1 | no | — |
| 220 | C22×C3×C4 | — | 2 | 1 | no | — |
| 221 | C22×C3×C4 | #41 | 1 | 1 | yes | characteristic |
| 222 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 223 | C2×#67 | — | 2 | 1 | no | — |
| 224 | C2×#67 | — | 4 | 1 | no | — |
| 225 | #235 | — | 2 | 1 | no | — |
| 226 | #235 | — | 2 | 1 | no | — |
| 227 | #235 | — | 2 | 1 | no | — |
| 228 | #235 | — | 2 | 1 | no | — |
| 229 | C2×D12 | — | 2 | 1 | no | — |
| 230 | C2×D12 | — | 2 | 1 | no | — |
| 231 | C2×D12 | — | 2 | 1 | no | — |
| 232 | C2×D12 | — | 2 | 1 | no | — |
| 233 | C2×D12 | — | 2 | 1 | no | — |
| 234 | C2×D12 | — | 2 | 1 | no | — |
| 235 | C2×D12 | — | 2 | 1 | no | — |
| 236 | C2×D12 | — | 2 | 1 | no | — |
| 237 | C2×D12 | — | 2 | 1 | no | — |
| 238 | C2×D12 | — | 2 | 1 | no | — |
| 239 | C2×D12 | — | 4 | 4 | no | — |
| 240 | C2×D12 | — | 4 | 4 | no | — |
| 241 | C2×D12 | — | 4 | 4 | no | — |
| 242 | C2×D12 | — | 4 | 2 | no | — |
| 243 | C2×D12 | — | 4 | 2 | no | — |
| 244 | C2×D12 | — | 4 | 2 | no | — |
| 245 | C2×D12 | — | 4 | 4 | no | — |
| 246 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 247 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 248 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 249 | C2×C4×D3 | — | 2 | 1 | no | — |
| 250 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C3×M16 | — | 2 | 1 | no | — |
| 252 | C3×M16 | — | 2 | 1 | no | — |
| 253 | C3×M16 | — | 2 | 1 | no | — |
| 254 | C3×M16 | — | 2 | 1 | no | — |
| 255 | C3×M16 | — | 2 | 1 | no | — |
| 256 | C3×M16 | — | 2 | 1 | no | — |
| 257 | C3×M16 | — | 2 | 1 | no | — |
| 258 | C3×M16 | — | 2 | 1 | no | — |
| 259 | C3×M16 | — | 4 | 2 | no | — |
| 260 | C2×C3×C8 | — | 2 | 1 | no | — |
| 261 | C2×C3×C8 | — | 2 | 1 | no | — |
| 262 | C2×C3×C8 | — | 2 | 1 | no | — |
| 263 | C2×C3×C8 | — | 4 | 2 | no | — |
| 264 | C2×C3×C8 | C2×D4 | 1 | 2 | yes | — |
| 265 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 266 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 267 | C3×C22⋊C4 | — | 2 | 1 | no | — |
| 268 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 269 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 270 | C3×C42 | — | 2 | 1 | no | — |
| 271 | #217 | — | 2 | 1 | no | — |
| 272 | #217 | — | 4 | 1 | no | — |
| 273 | #216 | — | 4 | 1 | no | — |
| 274 | #215 | — | 4 | 2 | no | — |
| 275 | #215 | — | 4 | 2 | no | — |
| 276 | #215 | — | 4 | 1 | no | — |
| 277 | #214 | — | 4 | 1 | no | — |
| 278 | #213 | — | 4 | 2 | no | — |
| 279 | #213 | — | 4 | 2 | no | — |
| 280 | #213 | — | 4 | 1 | no | — |
| 281 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 282 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 283 | Dic3⋊C4 | — | 4 | 1 | no | — |
| 284 | C4×Dic3 | — | 2 | 1 | no | — |
| 285 | #208 | — | 2 | 1 | no | — |
| 286 | #208 | — | 2 | 1 | no | — |
| 287 | #208 | — | 2 | 1 | no | — |
| 288 | #208 | — | 2 | 1 | no | — |
| 289 | #208 | — | 2 | 1 | no | — |
| 290 | #208 | — | 2 | 1 | no | — |
| 291 | #208 | — | 2 | 1 | no | — |
| 292 | #208 | — | 2 | 1 | no | — |
| 293 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 294 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 295 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 296 | C2×C3⋊C8 | C2×D4 | 1 | 2 | yes | — |
| 297 | D24 | — | 4 | 2 | no | — |
| 298 | D24 | — | 4 | 2 | no | — |
| 299 | #204 | — | 4 | 2 | no | — |
| 300 | #204 | — | 4 | 2 | no | — |
| 301 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 302 | D3×C8 | — | 4 | 2 | no | — |
| 303 | C25 | — | 6 | 1 | no | — |
| 304 | C2×#41 | — | 3 | 1 | no | — |
| 305 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 306 | C22×D4 | — | 3 | 1 | no | — |
| 307 | C22×D4 | — | 3 | 1 | no | — |
| 308 | C22×D4 | — | 6 | 2 | no | — |
| 309 | C22×D4 | — | 6 | 2 | no | — |
| 310 | C22×D4 | — | 6 | 1 | no | — |
| 311 | C22×D4 | — | 12 | 1 | no | — |
| 312 | C22×D4 | — | 12 | 1 | no | — |
| 313 | C22×D4 | — | 12 | 1 | no | — |
| 314 | C22×D4 | — | 12 | 1 | no | — |
| 315 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 316 | #137 | — | 6 | 1 | no | — |
| 317 | #137 | — | 6 | 1 | no | — |
| 318 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 319 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 320 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 321 | AGL(1,ℤ/8) | — | 6 | 1 | no | — |
| 322 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 323 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 324 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 325 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 326 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 327 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 328 | #135 | — | 12 | 1 | no | — |
| 329 | C2×SD16 | — | 3 | 2 | no | — |
| 330 | C2×SD16 | — | 3 | 2 | no | — |
| 331 | C2×SD16 | — | 6 | 1 | no | — |
| 332 | C2×SD16 | — | 6 | 1 | no | — |
| 333 | C2×D8 | — | 3 | 2 | no | — |
| 334 | C2×D8 | — | 3 | 2 | no | — |
| 335 | C2×D8 | — | 6 | 1 | no | — |
| 336 | C2×D8 | — | 6 | 1 | no | — |
| 337 | #131 | — | 2 | 2 | no | — |
| 338 | #131 | — | 4 | 1 | no | — |
| 339 | #131 | — | 6 | 2 | no | — |
| 340 | #131 | — | 12 | 1 | no | — |
| 341 | C2×M16 | — | 3 | 1 | no | — |
| 342 | C2×M16 | — | 3 | 1 | no | — |
| 343 | C2×M16 | — | 3 | 1 | no | — |
| 344 | C2×M16 | — | 3 | 1 | no | — |
| 345 | C2×M16 | — | 4 | 1 | no | — |
| 346 | C2×M16 | — | 12 | 1 | no | — |
| 347 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 348 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 349 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 350 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 351 | #123 | — | 2 | 1 | no | — |
| 352 | #123 | — | 6 | 1 | no | — |
| 353 | C22⋊Q8 | — | 2 | 1 | no | — |
| 354 | C22⋊Q8 | — | 6 | 1 | no | — |
| 355 | #121 | — | 2 | 1 | no | — |
| 356 | #121 | — | 6 | 1 | no | — |
| 357 | #120 | — | 2 | 1 | no | — |
| 358 | #120 | — | 6 | 1 | no | — |
| 359 | C4×D4 | — | 4 | 1 | no | — |
| 360 | C4×D4 | — | 12 | 1 | no | — |
| 361 | #117 | — | 3 | 1 | no | — |
| 362 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 363 | #108 | — | 6 | 2 | no | — |
| 364 | #108 | — | 6 | 2 | no | — |
| 365 | #108 | — | 12 | 1 | no | — |
| 366 | #104 | — | 12 | 1 | no | — |
| 367 | #104 | — | 12 | 1 | no | — |
| 368 | #102 | — | 6 | 2 | no | — |
| 369 | #102 | — | 6 | 2 | no | — |
| 370 | #102 | — | 6 | 2 | no | — |
| 371 | #102 | — | 6 | 2 | no | — |
| 372 | #101 | — | 2 | 1 | no | — |
| 373 | #101 | — | 6 | 1 | no | — |
| 374 | #100 | — | 2 | 1 | no | — |
| 375 | #100 | — | 6 | 2 | no | — |
| 376 | #100 | — | 6 | 2 | no | — |
| 377 | #100 | — | 6 | 1 | no | — |
| 378 | #100 | — | 12 | 1 | no | — |
| 379 | #100 | — | 12 | 1 | no | — |
| 380 | C22⋊C8 | — | 2 | 2 | no | — |
| 381 | C22⋊C8 | — | 4 | 1 | no | — |
| 382 | C22⋊C8 | — | 6 | 2 | no | — |
| 383 | C22⋊C8 | — | 12 | 1 | no | — |
| 384 | C23×C3 | — | 2 | 1 | no | — |
| 385 | C23×C3 | — | 2 | 1 | no | — |
| 386 | C23×C3 | — | 2 | 1 | no | — |
| 387 | C23×C3 | — | 2 | 1 | no | — |
| 388 | C23×C3 | — | 4 | 2 | no | — |
| 389 | C23×C3 | C2×#41 | 1 | 1 | yes | characteristic |
| 390 | C22×D3 | — | 2 | 1 | no | — |
| 391 | C22×D3 | — | 2 | 2 | no | — |
| 392 | C22×D3 | — | 2 | 2 | no | — |
| 393 | C22×D3 | — | 4 | 8 | no | — |
| 394 | C22×D3 | — | 4 | 1 | no | — |
| 395 | C22×D3 | — | 4 | 1 | no | — |
| 396 | C22×D3 | — | 4 | 1 | no | — |
| 397 | C22×D3 | — | 4 | 1 | no | — |
| 398 | C22×D3 | — | 8 | 4 | no | — |
| 399 | C22×D3 | — | 8 | 4 | no | — |
| 400 | C22×D3 | — | 8 | 4 | no | — |
| 401 | C22×D3 | — | 8 | 4 | no | — |
| 402 | C22×D3 | — | 8 | 4 | no | — |
| 403 | C22×D3 | — | 8 | 4 | no | — |
| 404 | C22×D3 | — | 8 | 2 | no | — |
| 405 | C22×D3 | — | 8 | 2 | no | — |
| 406 | C3×Q8 | — | 2 | 1 | no | — |
| 407 | C3×Q8 | — | 2 | 1 | no | — |
| 408 | C3×D4 | — | 2 | 1 | no | — |
| 409 | C3×D4 | — | 2 | 1 | no | — |
| 410 | C3×D4 | — | 4 | 1 | no | — |
| 411 | C3×D4 | — | 4 | 1 | no | — |
| 412 | C3×D4 | — | 8 | 2 | no | — |
| 413 | C2×C3×C4 | — | 2 | 1 | no | — |
| 414 | C2×C3×C4 | — | 2 | 1 | no | — |
| 415 | C2×C3×C4 | — | 2 | 1 | no | — |
| 416 | C2×C3×C4 | — | 2 | 1 | no | — |
| 417 | C2×C3×C4 | — | 4 | 1 | no | — |
| 418 | C2×C3×C4 | — | 4 | 1 | no | — |
| 419 | C2×C3×C4 | — | 4 | 1 | no | — |
| 420 | C2×C3×C4 | — | 4 | 1 | no | — |
| 421 | C2×C3×C4 | — | 4 | 1 | no | — |
| 422 | C2×C3×C4 | — | 4 | 1 | no | — |
| 423 | C2×C3×C4 | — | 4 | 1 | no | — |
| 424 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 425 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 426 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 427 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 428 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 429 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 430 | #67 | — | 4 | 1 | no | — |
| 431 | #67 | — | 4 | 1 | no | — |
| 432 | #67 | — | 8 | 2 | no | — |
| 433 | C2×Dic3 | — | 2 | 1 | no | — |
| 434 | C2×Dic3 | — | 4 | 1 | no | — |
| 435 | D12 | — | 2 | 2 | no | — |
| 436 | D12 | — | 2 | 1 | no | — |
| 437 | D12 | — | 2 | 2 | no | — |
| 438 | D12 | — | 2 | 2 | no | — |
| 439 | D12 | — | 2 | 1 | no | — |
| 440 | D12 | — | 2 | 2 | no | — |
| 441 | D12 | — | 4 | 8 | no | — |
| 442 | D12 | — | 4 | 1 | no | — |
| 443 | D12 | — | 4 | 1 | no | — |
| 444 | D12 | — | 4 | 1 | no | — |
| 445 | D12 | — | 4 | 1 | no | — |
| 446 | C4×D3 | — | 4 | 1 | no | — |
| 447 | C4×D3 | — | 4 | 1 | no | — |
| 448 | Dic6 | — | 2 | 1 | no | — |
| 449 | Dic6 | — | 2 | 1 | no | — |
| 450 | C3×C8 | — | 2 | 2 | no | — |
| 451 | C3×C8 | — | 4 | 1 | no | — |
| 452 | C3×C8 | — | 4 | 1 | no | — |
| 453 | C3×C8 | — | 4 | 1 | no | — |
| 454 | C3⋊C8 | — | 2 | 2 | no | — |
| 455 | C3⋊C8 | — | 4 | 1 | no | — |
| 456 | C3⋊C8 | — | 4 | 1 | no | — |
| 457 | C3⋊C8 | — | 4 | 1 | no | — |
| 458 | C24 | — | 6 | 1 | no | — |
| 459 | C24 | — | 6 | 1 | no | — |
| 460 | C24 | — | 12 | 2 | no | — |
| 461 | C24 | — | 12 | 2 | no | — |
| 462 | C24 | — | 12 | 2 | no | — |
| 463 | C24 | — | 24 | 4 | no | — |
| 464 | C24 | #235 | 1 | 1 | yes | characteristic |
| 465 | #41 | — | 2 | 1 | no | — |
| 466 | #41 | — | 2 | 1 | no | — |
| 467 | #41 | — | 2 | 1 | no | — |
| 468 | #41 | — | 2 | 1 | no | — |
| 469 | #41 | — | 6 | 1 | no | — |
| 470 | #41 | — | 6 | 1 | no | — |
| 471 | #41 | — | 6 | 1 | no | — |
| 472 | #41 | — | 6 | 1 | no | — |
| 473 | C2×Q8 | — | 3 | 1 | no | — |
| 474 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 475 | C2×D4 | — | 2 | 1 | no | — |
| 476 | C2×D4 | — | 3 | 2 | no | — |
| 477 | C2×D4 | — | 3 | 2 | no | — |
| 478 | C2×D4 | — | 3 | 1 | no | — |
| 479 | C2×D4 | — | 4 | 1 | no | — |
| 480 | C2×D4 | — | 6 | 1 | no | — |
| 481 | C2×D4 | — | 6 | 1 | no | — |
| 482 | C2×D4 | — | 6 | 1 | no | — |
| 483 | C2×D4 | — | 6 | 1 | no | — |
| 484 | C2×D4 | — | 6 | 1 | no | — |
| 485 | C2×D4 | — | 6 | 1 | no | — |
| 486 | C2×D4 | — | 6 | 1 | no | — |
| 487 | C2×D4 | — | 6 | 1 | no | — |
| 488 | C2×D4 | — | 6 | 1 | no | — |
| 489 | C2×D4 | — | 6 | 1 | no | — |
| 490 | C2×D4 | — | 6 | 1 | no | — |
| 491 | C2×D4 | — | 12 | 2 | no | — |
| 492 | C2×D4 | — | 12 | 2 | no | — |
| 493 | C2×D4 | — | 12 | 2 | no | — |
| 494 | C2×D4 | — | 12 | 4 | no | — |
| 495 | C2×D4 | — | 12 | 4 | no | — |
| 496 | C2×D4 | — | 12 | 4 | no | — |
| 497 | C2×D4 | — | 12 | 4 | no | — |
| 498 | C2×D4 | — | 12 | 1 | no | — |
| 499 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 500 | C22×C4 | — | 2 | 1 | no | — |
| 501 | C22×C4 | — | 2 | 1 | no | — |
| 502 | C22×C4 | — | 2 | 1 | no | — |
| 503 | C22×C4 | — | 2 | 1 | no | — |
| 504 | C22×C4 | — | 2 | 1 | no | — |
| 505 | C22×C4 | — | 2 | 1 | no | — |
| 506 | C22×C4 | — | 2 | 1 | no | — |
| 507 | C22×C4 | — | 6 | 1 | no | — |
| 508 | C22×C4 | #235 | 1 | 1 | yes | characteristic |
| 509 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 510 | Q16 | — | 12 | 1 | no | — |
| 511 | SD16 | — | 12 | 2 | no | — |
| 512 | SD16 | — | 12 | 2 | no | — |
| 513 | SD16 | — | 12 | 2 | no | — |
| 514 | SD16 | — | 12 | 1 | no | — |
| 515 | SD16 | — | 12 | 2 | no | — |
| 516 | SD16 | — | 12 | 1 | no | — |
| 517 | D8 | — | 12 | 2 | no | — |
| 518 | D8 | — | 12 | 2 | no | — |
| 519 | D8 | — | 12 | 2 | no | — |
| 520 | D8 | — | 12 | 2 | no | — |
| 521 | D8 | — | 12 | 1 | no | — |
| 522 | M16 | — | 2 | 1 | no | — |
| 523 | M16 | — | 2 | 1 | no | — |
| 524 | M16 | — | 2 | 1 | no | — |
| 525 | M16 | — | 2 | 1 | no | — |
| 526 | M16 | — | 2 | 1 | no | — |
| 527 | M16 | — | 2 | 1 | no | — |
| 528 | M16 | — | 2 | 1 | no | — |
| 529 | M16 | — | 2 | 1 | no | — |
| 530 | M16 | — | 4 | 2 | no | — |
| 531 | M16 | — | 6 | 1 | no | — |
| 532 | M16 | — | 6 | 1 | no | — |
| 533 | M16 | — | 6 | 1 | no | — |
| 534 | M16 | — | 6 | 1 | no | — |
| 535 | M16 | — | 6 | 1 | no | — |
| 536 | M16 | — | 6 | 1 | no | — |
| 537 | M16 | — | 6 | 1 | no | — |
| 538 | M16 | — | 6 | 1 | no | — |
| 539 | M16 | — | 12 | 2 | no | — |
| 540 | C2×C8 | — | 2 | 1 | no | — |
| 541 | C2×C8 | — | 2 | 1 | no | — |
| 542 | C2×C8 | — | 2 | 1 | no | — |
| 543 | C2×C8 | — | 3 | 2 | no | — |
| 544 | C2×C8 | — | 4 | 2 | no | — |
| 545 | C2×C8 | — | 6 | 1 | no | — |
| 546 | C2×C8 | — | 6 | 1 | no | — |
| 547 | C2×C8 | — | 6 | 1 | no | — |
| 548 | C2×C8 | — | 12 | 2 | no | — |
| 549 | C2×C8 | D3×D4 | 1 | 2 | yes | — |
| 550 | C4⋊C4 | — | 2 | 1 | no | — |
| 551 | C4⋊C4 | — | 4 | 1 | no | — |
| 552 | C4⋊C4 | — | 6 | 1 | no | — |
| 553 | C4⋊C4 | — | 12 | 1 | no | — |
| 554 | C22⋊C4 | — | 2 | 1 | no | — |
| 555 | C22⋊C4 | — | 4 | 1 | no | — |
| 556 | C22⋊C4 | — | 4 | 1 | no | — |
| 557 | C22⋊C4 | — | 6 | 1 | no | — |
| 558 | C22⋊C4 | — | 12 | 1 | no | — |
| 559 | C22⋊C4 | — | 12 | 1 | no | — |
| 560 | C42 | — | 2 | 1 | no | — |
| 561 | C42 | — | 6 | 1 | no | — |
| 562 | C22×C3 | — | 2 | 2 | no | — |
| 563 | C22×C3 | — | 2 | 2 | no | — |
| 564 | C22×C3 | — | 2 | 2 | no | — |
| 565 | C22×C3 | — | 4 | 1 | no | — |
| 566 | C22×C3 | — | 4 | 1 | no | — |
| 567 | C22×C3 | — | 4 | 1 | no | — |
| 568 | C22×C3 | — | 4 | 1 | no | — |
| 569 | C22×C3 | — | 4 | 1 | no | — |
| 570 | C22×C3 | — | 4 | 1 | no | — |
| 571 | C22×C3 | — | 8 | 1 | no | — |
| 572 | C22×C3 | #538 | 1 | 1 | yes | characteristic |
| 573 | C22×C3 | #546 | 1 | 1 | yes | characteristic |
| 574 | C22×C3 | #546 | 1 | 1 | yes | characteristic |
| 575 | C2×D3 | — | 4 | 1 | no | — |
| 576 | C2×D3 | — | 4 | 2 | no | — |
| 577 | C2×D3 | — | 4 | 2 | no | — |
| 578 | C2×D3 | — | 8 | 2 | no | — |
| 579 | C2×D3 | — | 8 | 2 | no | — |
| 580 | C2×D3 | — | 8 | 2 | no | — |
| 581 | C2×D3 | — | 8 | 2 | no | — |
| 582 | C2×D3 | — | 8 | 16 | no | — |
| 583 | C2×D3 | — | 8 | 1 | no | — |
| 584 | C2×D3 | — | 8 | 2 | no | — |
| 585 | C2×D3 | — | 8 | 2 | no | — |
| 586 | C3×C4 | — | 4 | 1 | no | — |
| 587 | C3×C4 | — | 4 | 1 | no | — |
| 588 | C3×C4 | — | 8 | 1 | no | — |
| 589 | C3×C4 | #534 | 1 | 1 | yes | characteristic |
| 590 | C3×C4 | #534 | 1 | 1 | yes | characteristic |
| 591 | C3×C4 | D42 | 1 | 1 | yes | characteristic |
| 592 | C3×C4 | #560 | 1 | 1 | yes | characteristic |
| 593 | Dic3 | — | 4 | 1 | no | — |
| 594 | Dic3 | — | 8 | 1 | no | — |
| 595 | C23 | — | 2 | 1 | no | — |
| 596 | C23 | — | 2 | 1 | no | — |
| 597 | C23 | — | 2 | 1 | no | — |
| 598 | C23 | — | 2 | 1 | no | — |
| 599 | C23 | — | 4 | 2 | no | — |
| 600 | C23 | — | 6 | 2 | no | — |
| 601 | C23 | — | 6 | 1 | no | — |
| 602 | C23 | — | 6 | 2 | no | — |
| 603 | C23 | — | 12 | 8 | no | — |
| 604 | C23 | — | 12 | 1 | no | — |
| 605 | C23 | — | 12 | 1 | no | — |
| 606 | C23 | — | 12 | 1 | no | — |
| 607 | C23 | — | 12 | 1 | no | — |
| 608 | C23 | — | 24 | 4 | no | — |
| 609 | C23 | — | 24 | 4 | no | — |
| 610 | C23 | — | 24 | 4 | no | — |
| 611 | C23 | — | 24 | 2 | no | — |
| 612 | C23 | — | 24 | 2 | no | — |
| 613 | C23 | — | 24 | 4 | no | — |
| 614 | C23 | — | 24 | 4 | no | — |
| 615 | C23 | — | 24 | 4 | no | — |
| 616 | C23 | C2×#235 | 1 | 1 | yes | characteristic |
| 617 | Q8 | — | 2 | 1 | no | — |
| 618 | Q8 | — | 2 | 1 | no | — |
| 619 | Q8 | — | 6 | 1 | no | — |
| 620 | Q8 | — | 6 | 1 | no | — |
| 621 | D4 | — | 2 | 1 | no | — |
| 622 | D4 | — | 2 | 1 | no | — |
| 623 | D4 | — | 4 | 1 | no | — |
| 624 | D4 | — | 4 | 1 | no | — |
| 625 | D4 | — | 6 | 1 | no | — |
| 626 | D4 | — | 6 | 2 | no | — |
| 627 | D4 | — | 6 | 2 | no | — |
| 628 | D4 | — | 6 | 1 | no | — |
| 629 | D4 | — | 6 | 2 | no | — |
| 630 | D4 | — | 6 | 2 | no | — |
| 631 | D4 | — | 8 | 2 | no | — |
| 632 | D4 | — | 12 | 8 | no | — |
| 633 | D4 | — | 12 | 1 | no | — |
| 634 | D4 | — | 12 | 1 | no | — |
| 635 | D4 | — | 12 | 1 | no | — |
| 636 | D4 | — | 12 | 1 | no | — |
| 637 | D4 | — | 12 | 1 | no | — |
| 638 | D4 | — | 12 | 1 | no | — |
| 639 | D4 | — | 24 | 2 | no | — |
| 640 | C2×C4 | — | 2 | 1 | no | — |
| 641 | C2×C4 | — | 2 | 1 | no | — |
| 642 | C2×C4 | — | 2 | 1 | no | — |
| 643 | C2×C4 | — | 2 | 1 | no | — |
| 644 | C2×C4 | — | 4 | 1 | no | — |
| 645 | C2×C4 | — | 4 | 1 | no | — |
| 646 | C2×C4 | — | 4 | 1 | no | — |
| 647 | C2×C4 | — | 4 | 1 | no | — |
| 648 | C2×C4 | — | 4 | 1 | no | — |
| 649 | C2×C4 | — | 4 | 1 | no | — |
| 650 | C2×C4 | — | 4 | 1 | no | — |
| 651 | C2×C4 | — | 6 | 1 | no | — |
| 652 | C2×C4 | — | 12 | 1 | no | — |
| 653 | C2×C4 | — | 12 | 1 | no | — |
| 654 | C2×C4 | — | 12 | 1 | no | — |
| 655 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 656 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 657 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 658 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 659 | C2×C4 | #1009 | 1 | 1 | yes | characteristic |
| 660 | C2×C4 | #1009 | 1 | 1 | yes | characteristic |
| 661 | C8 | — | 2 | 2 | no | — |
| 662 | C8 | — | 4 | 1 | no | — |
| 663 | C8 | — | 4 | 1 | no | — |
| 664 | C8 | — | 4 | 1 | no | — |
| 665 | C8 | — | 6 | 2 | no | — |
| 666 | C8 | — | 12 | 1 | no | — |
| 667 | C8 | — | 12 | 1 | no | — |
| 668 | C8 | — | 12 | 1 | no | — |
| 669 | C2×C3 | — | 2 | 1 | no | — |
| 670 | C2×C3 | — | 2 | 1 | no | — |
| 671 | C2×C3 | — | 2 | 1 | no | — |
| 672 | C2×C3 | — | 4 | 2 | no | — |
| 673 | C2×C3 | — | 8 | 1 | no | — |
| 674 | C2×C3 | #2668 | 1 | 1 | yes | characteristic |
| 675 | D3 | — | 8 | 1 | no | — |
| 676 | D3 | — | 8 | 2 | no | — |
| 677 | D3 | — | 8 | 2 | no | — |
| 678 | C22 | — | 2 | 2 | no | — |
| 679 | C22 | — | 2 | 2 | no | — |
| 680 | C22 | — | 2 | 2 | no | — |
| 681 | C22 | — | 4 | 1 | no | — |
| 682 | C22 | — | 4 | 1 | no | — |
| 683 | C22 | — | 4 | 1 | no | — |
| 684 | C22 | — | 4 | 1 | no | — |
| 685 | C22 | — | 4 | 1 | no | — |
| 686 | C22 | — | 4 | 1 | no | — |
| 687 | C22 | — | 8 | 1 | no | — |
| 688 | C22 | — | 12 | 1 | no | — |
| 689 | C22 | — | 12 | 2 | no | — |
| 690 | C22 | — | 12 | 2 | no | — |
| 691 | C22 | — | 24 | 1 | no | — |
| 692 | C22 | — | 24 | 2 | no | — |
| 693 | C22 | — | 24 | 2 | no | — |
| 694 | C22 | — | 24 | 2 | no | — |
| 695 | C22 | — | 24 | 2 | no | — |
| 696 | C22 | — | 24 | 2 | no | — |
| 697 | C22 | — | 24 | 2 | no | — |
| 698 | C22 | — | 24 | 16 | no | — |
| 699 | C22 | #5490 | 1 | 1 | yes | characteristic |
| 700 | C22 | #5550 | 1 | 1 | yes | characteristic |
| 701 | C22 | #5560 | 1 | 1 | yes | characteristic |
| 702 | C4 | — | 4 | 1 | no | — |
| 703 | C4 | — | 4 | 1 | no | — |
| 704 | C4 | — | 8 | 1 | no | — |
| 705 | C4 | — | 12 | 1 | no | — |
| 706 | C4 | — | 24 | 1 | no | — |
| 707 | C4 | #5589 | 1 | 1 | yes | characteristic |
| 708 | C4 | #5605 | 1 | 1 | yes | characteristic |
| 709 | C4 | #5609 | 1 | 1 | yes | characteristic |
| 710 | C4 | #5666 | 1 | 1 | yes | characteristic |
| 711 | C3 | #30434 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 712 | C2 | — | 2 | 1 | no | — |
| 713 | C2 | — | 2 | 1 | no | — |
| 714 | C2 | — | 2 | 1 | no | — |
| 715 | C2 | — | 4 | 2 | no | — |
| 716 | C2 | — | 8 | 1 | no | — |
| 717 | C2 | — | 24 | 2 | no | — |
| 718 | C2 | — | 24 | 2 | no | — |
| 719 | C2 | — | 24 | 1 | no | — |
| 720 | C2 | #74911 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #83814 | C2 | semidirect |
| 2. #82927 | C2 | semidirect |
| 3. #78720 | C2 | semidirect |
| 4. #78637 | C2 | semidirect |
| 5. C3×#1891 | C2 | semidirect |
| 6. #72023 | C2 | semidirect |
| 7. #71715 | C2 | semidirect |
| 8. #70140 | C2 | semidirect |
| 9. #69992 | C2 | semidirect |
| 10. #69988 | C2 | semidirect |
| 11. #69987 | C2 | semidirect |
| 12. #69038 | C2 | semidirect |
| 13. #69021 | C2 | semidirect |
| 14. #69020 | C2 | semidirect |
| 15. #69018 | C2 | semidirect |
| 18. C3×#568 | C22 | semidirect |
| 20. #5822 | C22 | semidirect |
| 26. #5745 | C22 | semidirect |
| 27. C3×#413 | C22 | semidirect |
| 30. #5236 | C22 | semidirect |
| 35. #5132 | C22 | semidirect |
| 42. #5125 | C22 | semidirect |
| 43. #5124 | C22 | semidirect |
| 44. #5124 | C22 | semidirect |
| 47. #5005 | C22 | semidirect |
| 54. C3×#344 | C22 | semidirect |
| 55. C3×#344 | C22 | semidirect |
| 56. C3⋊#338 | C22 | semidirect |
| 57. #4559 | C22 | semidirect |
| 58. #4556 | C22 | semidirect |
| 59. #4531 | C22 | semidirect |
| 73. #1891 | D3 | semidirect |
| 111. C2×#215 | D4 | semidirect |
| 114. C2×#213 | D4 | semidirect |
| 131. C2×D24 | D4 | semidirect |
| 133. C2×#204 | D4 | semidirect |
| 163. #568 | C2×D3 | semidirect |
| 184. #413 | C2×D3 | semidirect |
| 195. #344 | C2×D3 | semidirect |
| 196. #344 | C2×D3 | semidirect |
| 711. C3 | #30434 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #83814 | 2 |
| #82927 | 2 |
| #78720 | 2 |
| #78637 | 2 |
| C3×#1891 | 2 |
| #72023 | 2 |
| #71715 | 2 |
| #70140 | 2 |
| #69992 | 2 |
| #69988 | 2 |
| #69987 | 2 |
| #69038 | 2 |
| #69021 | 2 |
| #69020 | 2 |
| #69018 | 2 |
| #30434 | 3 |