Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
1704 conjugacy classes of subgroups.
The subgroup lattice has 796 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#79894 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #10711285 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#67571 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#67767 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#67569 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #10695024 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | C3×#12823 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #131837 | — | 3 | 1 | no | maximal, Sylow |
| 9 | C2×#5769 | — | 2 | 1 | no | — |
| 10 | C2×#5752 | — | 2 | 1 | no | — |
| 11 | C2×C3×#443 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#5142 | — | 2 | 1 | no | — |
| 13 | #79894 | — | 2 | 2 | no | — |
| 14 | #79894 | — | 2 | 2 | no | — |
| 15 | #79894 | — | 2 | 2 | no | — |
| 16 | #79894 | C4 | 1 | 4 | yes | complemented |
| 17 | C2×#4897 | — | 2 | 1 | no | — |
| 18 | C2×#4822 | — | 2 | 2 | no | — |
| 19 | C2×#4700 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×#4695 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×C3×#364 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×C3×#360 | — | 2 | 1 | no | — |
| 23 | C3×#1844 | C22 | 1 | 1 | yes | characteristic, complemented |
| 24 | C2×#4488 | — | 2 | 1 | no | — |
| 25 | C2×#4463 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#4455 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #69580 | — | 2 | 2 | no | — |
| 28 | C3×#1383 | — | 2 | 1 | no | — |
| 29 | #67767 | — | 2 | 2 | no | — |
| 30 | #67720 | — | 2 | 1 | no | — |
| 31 | #67571 | — | 2 | 2 | no | — |
| 32 | #67569 | — | 2 | 2 | no | — |
| 33 | C2×#3292 | — | 3 | 1 | no | — |
| 34 | #12823 | — | 3 | 1 | no | — |
| 35 | #12823 | D3 | 1 | 1 | yes | characteristic, complemented |
| 36 | C2×#1357 | — | 3 | 1 | no | — |
| 37 | C2×#1336 | — | 3 | 1 | no | — |
| 38 | C2×#1336 | — | 3 | 1 | no | — |
| 39 | #9837 | — | 3 | 1 | no | — |
| 40 | C2×#1009 | — | 2 | 2 | no | — |
| 41 | C2×C3×#135 | D4 | 1 | 1 | yes | characteristic |
| 42 | C2×C3×#131 | — | 2 | 1 | no | — |
| 43 | C2×#949 | — | 2 | 2 | no | — |
| 44 | #5769 | — | 2 | 4 | no | — |
| 45 | #5769 | — | 2 | 4 | no | — |
| 46 | #5769 | — | 4 | 2 | no | — |
| 47 | #5769 | — | 4 | 2 | no | — |
| 48 | C2×#919 | — | 4 | 1 | no | — |
| 49 | C2×#914 | — | 4 | 2 | no | — |
| 50 | C2×D3×D8 | — | 4 | 1 | no | — |
| 51 | #5752 | — | 2 | 4 | no | — |
| 52 | #5752 | — | 2 | 4 | no | — |
| 53 | #5752 | — | 4 | 2 | no | — |
| 54 | #5752 | — | 4 | 2 | no | — |
| 55 | C2×#908 | — | 2 | 2 | no | — |
| 56 | C2×#908 | — | 4 | 2 | no | — |
| 57 | C2×#904 | — | 4 | 1 | no | — |
| 58 | C2×#904 | D4 | 1 | 1 | yes | characteristic |
| 59 | C22×D24 | — | 2 | 1 | no | — |
| 60 | C22×D24 | — | 2 | 1 | no | — |
| 61 | C22×D24 | — | 4 | 1 | no | — |
| 62 | C2×#901 | — | 2 | 1 | no | — |
| 63 | C2×#874 | D4 | 1 | 2 | yes | — |
| 64 | C2×C3×M32 | — | 2 | 1 | no | — |
| 65 | C3×#443 | — | 2 | 1 | no | — |
| 66 | C3×#443 | — | 2 | 1 | no | — |
| 67 | C3×#443 | C2×C4 | 1 | 2 | yes | — |
| 68 | C3×#443 | D4 | 1 | 2 | yes | — |
| 69 | C2×C3×#108 | D4 | 1 | 1 | yes | characteristic |
| 70 | C2×C3×#106 | — | 2 | 1 | no | — |
| 71 | C2×C3×#106 | — | 2 | 1 | no | — |
| 72 | C2×C3×#104 | — | 2 | 1 | no | — |
| 73 | C2×C3×C4×C8 | C23 | 1 | 1 | yes | characteristic |
| 74 | C3×#384 | — | 2 | 1 | no | — |
| 75 | #5142 | — | 2 | 4 | no | — |
| 76 | #5142 | — | 2 | 4 | no | — |
| 77 | C2×#823 | — | 2 | 2 | no | — |
| 78 | C2×#819 | D4 | 1 | 1 | yes | characteristic |
| 79 | C2×#812 | — | 2 | 1 | no | — |
| 80 | C2×#809 | — | 4 | 4 | no | — |
| 81 | C2×#805 | — | 2 | 1 | no | — |
| 82 | C2×C4×C3⋊C8 | — | 2 | 1 | no | — |
| 83 | #4897 | — | 2 | 4 | no | — |
| 84 | #4897 | — | 2 | 4 | no | — |
| 85 | #4822 | — | 2 | 8 | no | — |
| 86 | #4822 | — | 2 | 8 | no | — |
| 87 | #4700 | — | 2 | 1 | no | — |
| 88 | #4700 | — | 2 | 1 | no | — |
| 89 | #4700 | C2×C4 | 1 | 2 | yes | — |
| 90 | #4700 | D4 | 1 | 2 | yes | — |
| 91 | #4695 | — | 2 | 1 | no | — |
| 92 | #4695 | — | 2 | 1 | no | — |
| 93 | #4695 | C2×C4 | 1 | 2 | yes | — |
| 94 | #4695 | D4 | 1 | 2 | yes | — |
| 95 | C3×#364 | — | 2 | 1 | no | — |
| 96 | C3×#364 | — | 2 | 1 | no | — |
| 97 | C3×#360 | — | 4 | 2 | no | — |
| 98 | #4488 | — | 4 | 2 | no | — |
| 99 | #4463 | — | 2 | 1 | no | — |
| 100 | #4463 | — | 2 | 1 | no | — |
| 101 | #4455 | — | 2 | 1 | no | — |
| 102 | #4455 | — | 2 | 1 | no | — |
| 103 | C2×#576 | — | 6 | 1 | no | — |
| 104 | C2×#576 | — | 6 | 1 | no | — |
| 105 | #3292 | — | 3 | 4 | no | — |
| 106 | #3292 | — | 6 | 2 | no | — |
| 107 | #3292 | — | 6 | 2 | no | — |
| 108 | #3292 | — | 6 | 2 | no | — |
| 109 | C2×#493 | — | 3 | 1 | no | — |
| 110 | C2×#472 | — | 6 | 1 | no | — |
| 111 | C2×#472 | — | 6 | 1 | no | — |
| 112 | C2×#453 | — | 6 | 2 | no | — |
| 113 | C2×#443 | — | 3 | 1 | no | — |
| 114 | C2×#443 | C2×D3 | 1 | 1 | yes | characteristic |
| 115 | C2×#364 | — | 3 | 1 | no | — |
| 116 | C2×#364 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 117 | C2×#360 | — | 2 | 1 | no | — |
| 118 | C2×#360 | — | 6 | 1 | no | — |
| 119 | #1957 | — | 6 | 2 | no | — |
| 120 | #1844 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 121 | C2×#322 | — | 3 | 1 | no | — |
| 122 | #1383 | — | 2 | 1 | no | — |
| 123 | #1383 | — | 6 | 1 | no | — |
| 124 | #1357 | — | 6 | 2 | no | — |
| 125 | #1336 | — | 6 | 2 | no | — |
| 126 | #1336 | — | 6 | 2 | no | — |
| 127 | C2×C3×#41 | — | 2 | 1 | no | — |
| 128 | #1009 | — | 2 | 8 | no | — |
| 129 | #1009 | — | 4 | 4 | no | — |
| 130 | #1009 | — | 4 | 4 | no | — |
| 131 | #1009 | — | 8 | 2 | no | — |
| 132 | C2×#239 | — | 4 | 2 | no | — |
| 133 | C2×D3×D4 | — | 4 | 2 | no | — |
| 134 | C2×D3×D4 | — | 8 | 2 | no | — |
| 135 | C2×#235 | — | 2 | 1 | no | — |
| 136 | C2×#235 | — | 4 | 2 | no | — |
| 137 | C22×D12 | — | 2 | 2 | no | — |
| 138 | C22×D12 | — | 4 | 2 | no | — |
| 139 | C22×D12 | — | 4 | 2 | no | — |
| 140 | C3×#135 | — | 2 | 1 | no | — |
| 141 | C3×#135 | — | 2 | 1 | no | — |
| 142 | C3×#135 | C22⋊C4 | 1 | 2 | yes | — |
| 143 | C3×#135 | D8 | 1 | 2 | yes | — |
| 144 | C2×C3×Q16 | SD16 | 1 | 1 | yes | characteristic |
| 145 | C2×C3×SD16 | — | 2 | 1 | no | — |
| 146 | C2×C3×D8 | SD16 | 1 | 1 | yes | characteristic |
| 147 | C3×#131 | — | 2 | 2 | no | — |
| 148 | C3×#131 | — | 2 | 2 | no | — |
| 149 | C3×#131 | — | 4 | 1 | no | — |
| 150 | C3×#131 | — | 4 | 1 | no | — |
| 151 | C2×C3×M16 | — | 2 | 1 | no | — |
| 152 | C2×C3×M16 | — | 4 | 1 | no | — |
| 153 | C22×C3×C8 | — | 4 | 1 | no | — |
| 154 | C22×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 155 | C22×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 156 | C2×C3×C4⋊C4 | — | 4 | 2 | no | — |
| 157 | C2×C3×C4⋊C4 | — | 4 | 1 | no | — |
| 158 | C2×C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 159 | #949 | — | 2 | 8 | no | — |
| 160 | #949 | — | 4 | 4 | no | — |
| 161 | C2×#215 | — | 4 | 2 | no | — |
| 162 | C2×#213 | — | 4 | 2 | no | — |
| 163 | C2×#208 | — | 2 | 1 | no | — |
| 164 | C22×C3⋊C8 | — | 2 | 2 | no | — |
| 165 | #919 | — | 4 | 4 | no | — |
| 166 | #919 | — | 4 | 4 | no | — |
| 167 | #914 | — | 4 | 8 | no | — |
| 168 | #914 | — | 4 | 8 | no | — |
| 169 | D3×D8 | — | 4 | 4 | no | — |
| 170 | D3×D8 | — | 4 | 4 | no | — |
| 171 | #908 | — | 2 | 8 | no | — |
| 172 | #908 | — | 4 | 8 | no | — |
| 173 | #908 | — | 4 | 8 | no | — |
| 174 | #908 | — | 4 | 4 | no | — |
| 175 | C2×Dic12 | SD16 | 1 | 1 | yes | characteristic |
| 176 | #904 | — | 2 | 1 | no | — |
| 177 | #904 | — | 2 | 1 | no | — |
| 178 | #904 | — | 4 | 4 | no | — |
| 179 | #904 | — | 4 | 4 | no | — |
| 180 | #904 | C22⋊C4 | 1 | 2 | yes | — |
| 181 | #904 | D8 | 1 | 2 | yes | — |
| 182 | C2×D24 | — | 2 | 2 | no | — |
| 183 | C2×D24 | — | 2 | 2 | no | — |
| 184 | C2×D24 | — | 2 | 2 | no | — |
| 185 | C2×D24 | — | 2 | 2 | no | — |
| 186 | C2×D24 | — | 4 | 4 | no | — |
| 187 | C2×D24 | — | 4 | 2 | no | — |
| 188 | C2×D24 | — | 4 | 1 | no | — |
| 189 | C2×D24 | — | 4 | 1 | no | — |
| 190 | C2×D24 | — | 4 | 1 | no | — |
| 191 | C2×D24 | — | 4 | 1 | no | — |
| 192 | C2×D24 | — | 4 | 1 | no | — |
| 193 | C2×D24 | — | 4 | 1 | no | — |
| 194 | C2×D24 | — | 4 | 1 | no | — |
| 195 | C2×D24 | — | 4 | 1 | no | — |
| 196 | C2×D24 | — | 4 | 4 | no | — |
| 197 | C2×D24 | SD16 | 1 | 1 | yes | characteristic |
| 198 | C2×#204 | — | 2 | 1 | no | — |
| 199 | C2×#204 | — | 4 | 2 | no | — |
| 200 | #901 | — | 2 | 2 | no | — |
| 201 | #901 | — | 2 | 2 | no | — |
| 202 | #901 | — | 4 | 1 | no | — |
| 203 | #901 | — | 4 | 1 | no | — |
| 204 | C2×ΓL(1,𝔽25) | — | 4 | 1 | no | — |
| 205 | C2×D3×C8 | — | 4 | 1 | no | — |
| 206 | #874 | — | 2 | 2 | no | — |
| 207 | #874 | — | 4 | 2 | no | — |
| 208 | #874 | C22⋊C4 | 1 | 4 | yes | — |
| 209 | C3×M32 | — | 4 | 1 | no | — |
| 210 | C3×M32 | — | 4 | 1 | no | — |
| 211 | C2×C3×C16 | — | 4 | 1 | no | — |
| 212 | C3×#108 | — | 2 | 1 | no | — |
| 213 | C3×#108 | C22⋊C4 | 1 | 2 | yes | — |
| 214 | C3×#106 | — | 4 | 1 | no | — |
| 215 | C3×#106 | — | 4 | 1 | no | — |
| 216 | C3×#106 | — | 4 | 1 | no | — |
| 217 | C3×#106 | — | 4 | 1 | no | — |
| 218 | C3×#104 | — | 2 | 2 | no | — |
| 219 | C3×#104 | — | 2 | 2 | no | — |
| 220 | C3×C4×C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 221 | C3×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C3×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C3×C4×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | #823 | — | 2 | 8 | no | — |
| 225 | #819 | — | 2 | 1 | no | — |
| 226 | #819 | C22⋊C4 | 1 | 2 | yes | — |
| 227 | #812 | — | 4 | 1 | no | — |
| 228 | #812 | — | 4 | 1 | no | — |
| 229 | C2×C3⋊C16 | — | 4 | 1 | no | — |
| 230 | #809 | — | 8 | 8 | no | — |
| 231 | #805 | — | 2 | 2 | no | — |
| 232 | #805 | — | 2 | 2 | no | — |
| 233 | C4×C3⋊C8 | — | 4 | 1 | no | — |
| 234 | C4×C3⋊C8 | — | 4 | 1 | no | — |
| 235 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 236 | #576 | — | 6 | 4 | no | — |
| 237 | #576 | — | 6 | 4 | no | — |
| 238 | #576 | — | 6 | 4 | no | — |
| 239 | #576 | — | 6 | 4 | no | — |
| 240 | #576 | — | 12 | 2 | no | — |
| 241 | #576 | — | 12 | 2 | no | — |
| 242 | #576 | — | 12 | 2 | no | — |
| 243 | #576 | — | 12 | 2 | no | — |
| 244 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 245 | C2×AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 246 | C2×AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 247 | C2×AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 248 | C2×#135 | — | 3 | 1 | no | — |
| 249 | C2×#135 | — | 12 | 1 | no | — |
| 250 | C2×#135 | — | 12 | 1 | no | — |
| 251 | C2×#135 | #67 | 1 | 1 | yes | characteristic |
| 252 | C22×D8 | — | 6 | 1 | no | — |
| 253 | C22×D8 | — | 6 | 1 | no | — |
| 254 | C22×D8 | — | 12 | 1 | no | — |
| 255 | C22×D8 | — | 12 | 1 | no | — |
| 256 | C2×#131 | — | 2 | 1 | no | — |
| 257 | C2×#131 | — | 6 | 1 | no | — |
| 258 | C2×#127 | — | 3 | 2 | no | — |
| 259 | C2×M32 | — | 2 | 1 | no | — |
| 260 | C2×M32 | — | 6 | 1 | no | — |
| 261 | #493 | — | 3 | 2 | no | — |
| 262 | #493 | — | 3 | 2 | no | — |
| 263 | #493 | — | 6 | 1 | no | — |
| 264 | #493 | — | 6 | 1 | no | — |
| 265 | #472 | — | 6 | 4 | no | — |
| 266 | #472 | — | 6 | 4 | no | — |
| 267 | #472 | — | 6 | 4 | no | — |
| 268 | #472 | — | 6 | 4 | no | — |
| 269 | #453 | — | 6 | 8 | no | — |
| 270 | #453 | — | 6 | 8 | no | — |
| 271 | #443 | — | 2 | 1 | no | — |
| 272 | #443 | — | 2 | 1 | no | — |
| 273 | #443 | — | 3 | 2 | no | — |
| 274 | #443 | — | 3 | 2 | no | — |
| 275 | #443 | — | 6 | 1 | no | — |
| 276 | #443 | — | 6 | 1 | no | — |
| 277 | #443 | C4×D3 | 1 | 2 | yes | — |
| 278 | #443 | D12 | 1 | 2 | yes | — |
| 279 | C2×#108 | — | 3 | 1 | no | — |
| 280 | C2×#108 | #67 | 1 | 1 | yes | characteristic |
| 281 | C2×#106 | — | 2 | 1 | no | — |
| 282 | C2×#106 | — | 2 | 1 | no | — |
| 283 | C2×#104 | — | 2 | 1 | no | — |
| 284 | C2×#104 | — | 6 | 1 | no | — |
| 285 | C2×#102 | — | 12 | 4 | no | — |
| 286 | C2×#100 | — | 6 | 2 | no | — |
| 287 | C2×C4×C8 | — | 6 | 1 | no | — |
| 288 | C2×C4×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 289 | #384 | — | 2 | 1 | no | — |
| 290 | #364 | — | 2 | 1 | no | — |
| 291 | #364 | — | 2 | 1 | no | — |
| 292 | #364 | — | 6 | 1 | no | — |
| 293 | #364 | — | 6 | 1 | no | — |
| 294 | #360 | — | 4 | 2 | no | — |
| 295 | #360 | — | 12 | 2 | no | — |
| 296 | #322 | — | 6 | 1 | no | — |
| 297 | #322 | — | 6 | 1 | no | — |
| 298 | C23×D3 | — | 4 | 2 | no | — |
| 299 | C23×D3 | — | 8 | 2 | no | — |
| 300 | C3×#41 | — | 2 | 2 | no | — |
| 301 | C3×#41 | — | 2 | 2 | no | — |
| 302 | C3×#41 | — | 4 | 1 | no | — |
| 303 | C3×#41 | — | 4 | 1 | no | — |
| 304 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 305 | C2×C3×D4 | — | 2 | 1 | no | — |
| 306 | C2×C3×D4 | — | 4 | 1 | no | — |
| 307 | C22×C3×C4 | — | 2 | 1 | no | — |
| 308 | C22×C3×C4 | — | 4 | 1 | no | — |
| 309 | C22×C3×C4 | — | 8 | 1 | no | — |
| 310 | C22×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 311 | C2×#67 | — | 4 | 1 | no | — |
| 312 | C2×#67 | — | 8 | 2 | no | — |
| 313 | #239 | — | 4 | 8 | no | — |
| 314 | #239 | — | 8 | 4 | no | — |
| 315 | D3×D4 | — | 4 | 8 | no | — |
| 316 | D3×D4 | — | 8 | 4 | no | — |
| 317 | D3×D4 | — | 8 | 8 | no | — |
| 318 | D3×D4 | — | 8 | 8 | no | — |
| 319 | #235 | — | 2 | 2 | no | — |
| 320 | #235 | — | 2 | 2 | no | — |
| 321 | #235 | — | 4 | 8 | no | — |
| 322 | #235 | — | 4 | 1 | no | — |
| 323 | #235 | — | 4 | 1 | no | — |
| 324 | #235 | — | 8 | 4 | no | — |
| 325 | C2×D12 | — | 2 | 1 | no | — |
| 326 | C2×D12 | — | 2 | 4 | no | — |
| 327 | C2×D12 | — | 4 | 8 | no | — |
| 328 | C2×D12 | — | 4 | 2 | no | — |
| 329 | C2×D12 | — | 4 | 2 | no | — |
| 330 | C2×D12 | — | 4 | 2 | no | — |
| 331 | C2×D12 | — | 4 | 2 | no | — |
| 332 | C2×D12 | — | 4 | 4 | no | — |
| 333 | C2×D12 | — | 4 | 2 | no | — |
| 334 | C2×D12 | — | 8 | 4 | no | — |
| 335 | C2×D12 | — | 8 | 2 | no | — |
| 336 | C2×D12 | — | 8 | 4 | no | — |
| 337 | C2×D12 | — | 8 | 4 | no | — |
| 338 | C2×D12 | — | 8 | 2 | no | — |
| 339 | C2×C4×D3 | — | 4 | 1 | no | — |
| 340 | C2×C4×D3 | — | 8 | 2 | no | — |
| 341 | C2×Dic6 | — | 2 | 1 | no | — |
| 342 | C3×Q16 | — | 2 | 1 | no | — |
| 343 | C3×Q16 | #102 | 1 | 2 | yes | complemented |
| 344 | C3×SD16 | — | 2 | 2 | no | — |
| 345 | C3×SD16 | — | 2 | 2 | no | — |
| 346 | C3×D8 | — | 2 | 1 | no | — |
| 347 | C3×D8 | #102 | 1 | 2 | yes | complemented |
| 348 | C3×M16 | — | 2 | 2 | no | — |
| 349 | C3×M16 | — | 4 | 1 | no | — |
| 350 | C3×M16 | — | 4 | 2 | no | — |
| 351 | C3×M16 | — | 4 | 2 | no | — |
| 352 | C2×C3×C8 | — | 4 | 1 | no | — |
| 353 | C2×C3×C8 | — | 4 | 2 | no | — |
| 354 | C2×C3×C8 | — | 4 | 2 | no | — |
| 355 | C2×C3×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 356 | C2×C3×C8 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 357 | C2×C3×C8 | #120 | 1 | 1 | yes | characteristic |
| 358 | C2×C3×C8 | #120 | 1 | 1 | yes | characteristic |
| 359 | C2×C3×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 360 | C2×C3×C8 | C2×D8 | 1 | 1 | yes | characteristic |
| 361 | C2×C3×C8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 362 | C2×C3×C8 | C2×SD16 | 1 | 1 | yes | characteristic |
| 363 | C2×C3×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 364 | C2×C3×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 365 | C2×C3×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 366 | C2×C3×C8 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 367 | C3×C4⋊C4 | — | 8 | 4 | no | — |
| 368 | C3×C4⋊C4 | — | 8 | 1 | no | — |
| 369 | C3×C4⋊C4 | — | 8 | 1 | no | — |
| 370 | C3×C42 | — | 2 | 1 | no | — |
| 371 | C3×C42 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 372 | C3×C42 | #120 | 1 | 1 | yes | characteristic |
| 373 | #215 | — | 4 | 8 | no | — |
| 374 | #213 | — | 4 | 8 | no | — |
| 375 | #208 | — | 2 | 2 | no | — |
| 376 | #208 | — | 4 | 1 | no | — |
| 377 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 378 | C2×C3⋊C8 | — | 4 | 2 | no | — |
| 379 | C2×C3⋊C8 | — | 4 | 4 | no | — |
| 380 | Dic12 | — | 2 | 1 | no | — |
| 381 | Dic12 | #102 | 1 | 2 | yes | complemented |
| 382 | D24 | — | 2 | 1 | no | — |
| 383 | D24 | — | 4 | 8 | no | — |
| 384 | D24 | — | 4 | 2 | no | — |
| 385 | D24 | — | 4 | 2 | no | — |
| 386 | D24 | — | 4 | 2 | no | — |
| 387 | D24 | — | 4 | 2 | no | — |
| 388 | D24 | — | 4 | 2 | no | — |
| 389 | D24 | — | 4 | 2 | no | — |
| 390 | D24 | — | 4 | 2 | no | — |
| 391 | D24 | — | 4 | 2 | no | — |
| 392 | D24 | #102 | 1 | 2 | yes | complemented |
| 393 | #204 | — | 2 | 2 | no | — |
| 394 | #204 | — | 2 | 2 | no | — |
| 395 | #204 | — | 4 | 8 | no | — |
| 396 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 397 | ΓL(1,𝔽25) | — | 4 | 2 | no | — |
| 398 | D3×C8 | — | 4 | 2 | no | — |
| 399 | D3×C8 | — | 4 | 2 | no | — |
| 400 | C3×C16 | — | 8 | 1 | no | — |
| 401 | C3⋊C16 | — | 8 | 1 | no | — |
| 402 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 403 | H(5,𝔽2) | — | 12 | 4 | no | — |
| 404 | H(5,𝔽2) | — | 12 | 4 | no | — |
| 405 | H(5,𝔽2) | — | 24 | 2 | no | — |
| 406 | C2×#41 | — | 2 | 1 | no | — |
| 407 | C2×#41 | — | 6 | 1 | no | — |
| 408 | C2×#41 | — | 12 | 2 | no | — |
| 409 | C2×#41 | — | 12 | 2 | no | — |
| 410 | C22×D4 | — | 6 | 2 | no | — |
| 411 | C22×D4 | — | 12 | 2 | no | — |
| 412 | C22×D4 | — | 12 | 2 | no | — |
| 413 | C22×D4 | — | 12 | 2 | no | — |
| 414 | C22×D4 | — | 24 | 2 | no | — |
| 415 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 416 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 417 | AGL(1,ℤ/8) | — | 12 | 8 | no | — |
| 418 | AGL(1,ℤ/8) | — | 12 | 8 | no | — |
| 419 | AGL(1,ℤ/8) | — | 12 | 4 | no | — |
| 420 | AGL(1,ℤ/8) | — | 12 | 8 | no | — |
| 421 | AGL(1,ℤ/8) | — | 12 | 8 | no | — |
| 422 | AGL(1,ℤ/8) | — | 12 | 4 | no | — |
| 423 | #135 | — | 2 | 1 | no | — |
| 424 | #135 | — | 2 | 1 | no | — |
| 425 | #135 | — | 3 | 2 | no | — |
| 426 | #135 | — | 3 | 2 | no | — |
| 427 | #135 | — | 6 | 1 | no | — |
| 428 | #135 | — | 6 | 1 | no | — |
| 429 | #135 | — | 12 | 4 | no | — |
| 430 | #135 | — | 12 | 4 | no | — |
| 431 | #135 | — | 12 | 4 | no | — |
| 432 | #135 | — | 12 | 4 | no | — |
| 433 | #135 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 434 | #135 | #213 | 1 | 2 | yes | — |
| 435 | C2×Q16 | — | 3 | 1 | no | — |
| 436 | C2×Q16 | #215 | 1 | 1 | yes | characteristic |
| 437 | C2×SD16 | — | 2 | 1 | no | — |
| 438 | C2×SD16 | — | 6 | 1 | no | — |
| 439 | C2×SD16 | — | 12 | 2 | no | — |
| 440 | C2×SD16 | — | 12 | 2 | no | — |
| 441 | C2×D8 | — | 3 | 1 | no | — |
| 442 | C2×D8 | — | 6 | 2 | no | — |
| 443 | C2×D8 | — | 6 | 2 | no | — |
| 444 | C2×D8 | — | 6 | 2 | no | — |
| 445 | C2×D8 | — | 6 | 2 | no | — |
| 446 | C2×D8 | — | 12 | 4 | no | — |
| 447 | C2×D8 | — | 12 | 4 | no | — |
| 448 | C2×D8 | — | 12 | 2 | no | — |
| 449 | C2×D8 | — | 12 | 4 | no | — |
| 450 | C2×D8 | — | 12 | 2 | no | — |
| 451 | C2×D8 | — | 12 | 4 | no | — |
| 452 | C2×D8 | — | 12 | 1 | no | — |
| 453 | C2×D8 | — | 12 | 1 | no | — |
| 454 | C2×D8 | — | 12 | 1 | no | — |
| 455 | C2×D8 | — | 12 | 1 | no | — |
| 456 | C2×D8 | — | 12 | 1 | no | — |
| 457 | C2×D8 | — | 12 | 1 | no | — |
| 458 | C2×D8 | — | 12 | 1 | no | — |
| 459 | C2×D8 | — | 12 | 1 | no | — |
| 460 | C2×D8 | #215 | 1 | 1 | yes | characteristic |
| 461 | #131 | — | 2 | 2 | no | — |
| 462 | #131 | — | 2 | 2 | no | — |
| 463 | #131 | — | 4 | 1 | no | — |
| 464 | #131 | — | 4 | 1 | no | — |
| 465 | #131 | — | 6 | 2 | no | — |
| 466 | #131 | — | 6 | 2 | no | — |
| 467 | #131 | — | 12 | 1 | no | — |
| 468 | #131 | — | 12 | 1 | no | — |
| 469 | C2×M16 | — | 2 | 1 | no | — |
| 470 | C2×M16 | — | 4 | 1 | no | — |
| 471 | C2×M16 | — | 6 | 1 | no | — |
| 472 | C2×M16 | — | 12 | 1 | no | — |
| 473 | C22×C8 | — | 4 | 1 | no | — |
| 474 | C22×C8 | — | 6 | 2 | no | — |
| 475 | C22×C8 | — | 12 | 1 | no | — |
| 476 | C22×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 477 | C22×C8 | C2×#67 | 1 | 1 | yes | characteristic |
| 478 | #127 | — | 3 | 4 | no | — |
| 479 | #127 | — | 6 | 2 | no | — |
| 480 | #127 | — | 12 | 2 | no | — |
| 481 | C2×C4⋊C4 | — | 4 | 2 | no | — |
| 482 | C2×C4⋊C4 | — | 4 | 1 | no | — |
| 483 | C2×C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 484 | M32 | — | 4 | 1 | no | — |
| 485 | M32 | — | 4 | 1 | no | — |
| 486 | M32 | — | 12 | 1 | no | — |
| 487 | M32 | — | 12 | 1 | no | — |
| 488 | C2×C16 | — | 4 | 1 | no | — |
| 489 | C2×C16 | — | 12 | 1 | no | — |
| 490 | #108 | — | 2 | 1 | no | — |
| 491 | #108 | — | 3 | 2 | no | — |
| 492 | #108 | — | 6 | 1 | no | — |
| 493 | #108 | (C2×D3)⋊C4 | 1 | 2 | yes | — |
| 494 | #106 | — | 4 | 1 | no | — |
| 495 | #106 | — | 4 | 1 | no | — |
| 496 | #106 | — | 4 | 1 | no | — |
| 497 | #106 | — | 4 | 1 | no | — |
| 498 | #104 | — | 2 | 2 | no | — |
| 499 | #104 | — | 2 | 2 | no | — |
| 500 | #104 | — | 6 | 2 | no | — |
| 501 | #104 | — | 6 | 2 | no | — |
| 502 | #102 | — | 24 | 8 | no | — |
| 503 | #100 | — | 6 | 8 | no | — |
| 504 | C4×C8 | — | 12 | 1 | no | — |
| 505 | C4×C8 | — | 12 | 1 | no | — |
| 506 | C4×C8 | C2×C4×D3 | 1 | 1 | yes | characteristic |
| 507 | C4×C8 | C2×D12 | 1 | 1 | yes | characteristic |
| 508 | C4×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 509 | C4×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 510 | C23×C3 | — | 4 | 1 | no | — |
| 511 | C23×C3 | #453 | 1 | 1 | yes | characteristic |
| 512 | C22×D3 | — | 4 | 1 | no | — |
| 513 | C22×D3 | — | 4 | 4 | no | — |
| 514 | C22×D3 | — | 8 | 8 | no | — |
| 515 | C22×D3 | — | 8 | 2 | no | — |
| 516 | C22×D3 | — | 8 | 2 | no | — |
| 517 | C22×D3 | — | 16 | 2 | no | — |
| 518 | C22×D3 | — | 16 | 2 | no | — |
| 519 | C22×D3 | — | 32 | 2 | no | — |
| 520 | C22×D3 | — | 32 | 2 | no | — |
| 521 | C3×Q8 | — | 2 | 2 | no | — |
| 522 | C3×Q8 | — | 4 | 1 | no | — |
| 523 | C3×D4 | — | 2 | 2 | no | — |
| 524 | C3×D4 | — | 4 | 2 | no | — |
| 525 | C3×D4 | — | 4 | 2 | no | — |
| 526 | C3×D4 | — | 4 | 1 | no | — |
| 527 | C2×C3×C4 | — | 2 | 4 | no | — |
| 528 | C2×C3×C4 | — | 2 | 1 | no | — |
| 529 | C2×C3×C4 | — | 2 | 1 | no | — |
| 530 | C2×C3×C4 | — | 4 | 1 | no | — |
| 531 | C2×C3×C4 | — | 4 | 2 | no | — |
| 532 | C2×C3×C4 | — | 4 | 2 | no | — |
| 533 | C2×C3×C4 | — | 16 | 2 | no | — |
| 534 | C2×C3×C4 | — | 16 | 1 | no | — |
| 535 | C2×C3×C4 | #379 | 1 | 1 | yes | characteristic |
| 536 | C2×C3×C4 | #447 | 1 | 1 | yes | characteristic |
| 537 | C2×C3×C4 | #447 | 1 | 1 | yes | characteristic |
| 538 | C2×C3×C4 | #450 | 1 | 1 | yes | characteristic |
| 539 | C2×C3×C4 | #450 | 1 | 1 | yes | characteristic |
| 540 | C2×C3×C4 | #455 | 1 | 1 | yes | characteristic |
| 541 | #67 | — | 4 | 2 | no | — |
| 542 | #67 | — | 4 | 2 | no | — |
| 543 | #67 | — | 8 | 8 | no | — |
| 544 | C2×Dic3 | — | 4 | 1 | no | — |
| 545 | D12 | — | 2 | 2 | no | — |
| 546 | D12 | — | 4 | 1 | no | — |
| 547 | D12 | — | 4 | 4 | no | — |
| 548 | D12 | — | 4 | 4 | no | — |
| 549 | D12 | — | 8 | 8 | no | — |
| 550 | D12 | — | 8 | 8 | no | — |
| 551 | D12 | — | 8 | 2 | no | — |
| 552 | D12 | — | 8 | 2 | no | — |
| 553 | D12 | — | 16 | 4 | no | — |
| 554 | C4×D3 | — | 4 | 2 | no | — |
| 555 | C4×D3 | — | 4 | 2 | no | — |
| 556 | C4×D3 | — | 8 | 8 | no | — |
| 557 | Dic6 | — | 2 | 2 | no | — |
| 558 | Dic6 | — | 4 | 1 | no | — |
| 559 | C3×C8 | — | 4 | 2 | no | — |
| 560 | C3×C8 | C2×#102 | 1 | 1 | yes | characteristic |
| 561 | C3×C8 | C2×#102 | 1 | 1 | yes | characteristic |
| 562 | C3×C8 | #418 | 1 | 1 | yes | characteristic |
| 563 | C3×C8 | #418 | 1 | 1 | yes | characteristic |
| 564 | C3×C8 | #447 | 1 | 1 | yes | characteristic |
| 565 | C3×C8 | #447 | 1 | 1 | yes | characteristic |
| 566 | C3×C8 | #450 | 1 | 1 | yes | characteristic |
| 567 | C3×C8 | #450 | 1 | 1 | yes | characteristic |
| 568 | C3⋊C8 | — | 4 | 2 | no | — |
| 569 | C3⋊C8 | — | 8 | 2 | no | — |
| 570 | C24 | — | 12 | 2 | no | — |
| 571 | C24 | — | 24 | 2 | no | — |
| 572 | #41 | — | 2 | 2 | no | — |
| 573 | #41 | — | 2 | 2 | no | — |
| 574 | #41 | — | 4 | 1 | no | — |
| 575 | #41 | — | 4 | 1 | no | — |
| 576 | #41 | — | 6 | 2 | no | — |
| 577 | #41 | — | 6 | 2 | no | — |
| 578 | #41 | — | 12 | 8 | no | — |
| 579 | #41 | — | 12 | 1 | no | — |
| 580 | #41 | — | 12 | 1 | no | — |
| 581 | #41 | — | 12 | 8 | no | — |
| 582 | #41 | — | 24 | 4 | no | — |
| 583 | #41 | — | 24 | 4 | no | — |
| 584 | C2×Q8 | — | 2 | 1 | no | — |
| 585 | C2×Q8 | — | 6 | 1 | no | — |
| 586 | C2×D4 | — | 2 | 1 | no | — |
| 587 | C2×D4 | — | 4 | 1 | no | — |
| 588 | C2×D4 | — | 6 | 1 | no | — |
| 589 | C2×D4 | — | 6 | 4 | no | — |
| 590 | C2×D4 | — | 12 | 4 | no | — |
| 591 | C2×D4 | — | 12 | 8 | no | — |
| 592 | C2×D4 | — | 12 | 8 | no | — |
| 593 | C2×D4 | — | 12 | 1 | no | — |
| 594 | C2×D4 | — | 12 | 2 | no | — |
| 595 | C2×D4 | — | 12 | 2 | no | — |
| 596 | C2×D4 | — | 12 | 2 | no | — |
| 597 | C2×D4 | — | 12 | 2 | no | — |
| 598 | C2×D4 | — | 12 | 2 | no | — |
| 599 | C2×D4 | — | 24 | 4 | no | — |
| 600 | C2×D4 | — | 24 | 4 | no | — |
| 601 | C2×D4 | — | 24 | 2 | no | — |
| 602 | C2×D4 | — | 24 | 4 | no | — |
| 603 | C2×D4 | — | 24 | 2 | no | — |
| 604 | C2×D4 | — | 24 | 4 | no | — |
| 605 | C2×D4 | — | 24 | 2 | no | — |
| 606 | C2×D4 | — | 24 | 8 | no | — |
| 607 | C2×D4 | — | 24 | 8 | no | — |
| 608 | C22×C4 | — | 2 | 1 | no | — |
| 609 | C22×C4 | — | 4 | 1 | no | — |
| 610 | C22×C4 | — | 8 | 1 | no | — |
| 611 | C22×C4 | — | 12 | 1 | no | — |
| 612 | C22×C4 | — | 24 | 2 | no | — |
| 613 | C22×C4 | #937 | 1 | 1 | yes | characteristic |
| 614 | Q16 | — | 2 | 1 | no | — |
| 615 | Q16 | — | 3 | 2 | no | — |
| 616 | Q16 | — | 6 | 1 | no | — |
| 617 | Q16 | #809 | 1 | 2 | yes | complemented |
| 618 | SD16 | — | 2 | 2 | no | — |
| 619 | SD16 | — | 2 | 2 | no | — |
| 620 | SD16 | — | 6 | 2 | no | — |
| 621 | SD16 | — | 6 | 2 | no | — |
| 622 | SD16 | — | 12 | 8 | no | — |
| 623 | SD16 | — | 12 | 8 | no | — |
| 624 | D8 | — | 2 | 1 | no | — |
| 625 | D8 | — | 3 | 2 | no | — |
| 626 | D8 | — | 6 | 1 | no | — |
| 627 | D8 | — | 12 | 8 | no | — |
| 628 | D8 | — | 12 | 8 | no | — |
| 629 | D8 | — | 12 | 2 | no | — |
| 630 | D8 | — | 12 | 2 | no | — |
| 631 | D8 | — | 12 | 2 | no | — |
| 632 | D8 | — | 12 | 2 | no | — |
| 633 | D8 | — | 12 | 2 | no | — |
| 634 | D8 | — | 12 | 2 | no | — |
| 635 | D8 | — | 12 | 2 | no | — |
| 636 | D8 | — | 12 | 2 | no | — |
| 637 | D8 | #809 | 1 | 2 | yes | complemented |
| 638 | M16 | — | 2 | 2 | no | — |
| 639 | M16 | — | 4 | 1 | no | — |
| 640 | M16 | — | 4 | 2 | no | — |
| 641 | M16 | — | 4 | 2 | no | — |
| 642 | M16 | — | 6 | 2 | no | — |
| 643 | M16 | — | 12 | 1 | no | — |
| 644 | M16 | — | 12 | 2 | no | — |
| 645 | M16 | — | 12 | 2 | no | — |
| 646 | C2×C8 | — | 4 | 1 | no | — |
| 647 | C2×C8 | — | 4 | 2 | no | — |
| 648 | C2×C8 | — | 4 | 2 | no | — |
| 649 | C2×C8 | — | 12 | 1 | no | — |
| 650 | C2×C8 | — | 12 | 2 | no | — |
| 651 | C2×C8 | — | 12 | 2 | no | — |
| 652 | C2×C8 | — | 12 | 2 | no | — |
| 653 | C2×C8 | — | 12 | 4 | no | — |
| 654 | C2×C8 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 655 | C2×C8 | #882 | 1 | 1 | yes | characteristic |
| 656 | C2×C8 | D3×D8 | 1 | 1 | yes | characteristic |
| 657 | C2×C8 | #911 | 1 | 1 | yes | characteristic |
| 658 | C2×C8 | D3×SD16 | 1 | 1 | yes | characteristic |
| 659 | C2×C8 | #914 | 1 | 1 | yes | characteristic |
| 660 | C2×C8 | C2×(C2×D3)⋊C4 | 1 | 1 | yes | characteristic |
| 661 | C2×C8 | C2×#213 | 1 | 1 | yes | characteristic |
| 662 | C2×C8 | #937 | 1 | 1 | yes | characteristic |
| 663 | C2×C8 | C2×#215 | 1 | 1 | yes | characteristic |
| 664 | C2×C8 | #949 | 1 | 1 | yes | characteristic |
| 665 | C2×C8 | #949 | 1 | 1 | yes | characteristic |
| 666 | C4⋊C4 | — | 8 | 4 | no | — |
| 667 | C4⋊C4 | — | 8 | 1 | no | — |
| 668 | C4⋊C4 | — | 8 | 1 | no | — |
| 669 | C42 | — | 2 | 1 | no | — |
| 670 | C42 | D3×C22⋊C4 | 1 | 1 | yes | characteristic |
| 671 | C42 | #882 | 1 | 1 | yes | characteristic |
| 672 | C16 | — | 8 | 1 | no | — |
| 673 | C16 | — | 24 | 1 | no | — |
| 674 | C22×C3 | — | 2 | 2 | no | — |
| 675 | C22×C3 | — | 4 | 2 | no | — |
| 676 | C22×C3 | — | 8 | 2 | no | — |
| 677 | C22×C3 | #1619 | 1 | 1 | yes | characteristic |
| 678 | C22×C3 | #1629 | 1 | 1 | yes | characteristic |
| 679 | C22×C3 | #1792 | 1 | 1 | yes | characteristic |
| 680 | C2×D3 | — | 4 | 2 | no | — |
| 681 | C2×D3 | — | 8 | 2 | no | — |
| 682 | C2×D3 | — | 8 | 4 | no | — |
| 683 | C2×D3 | — | 16 | 2 | no | — |
| 684 | C2×D3 | — | 16 | 2 | no | — |
| 685 | C2×D3 | — | 16 | 4 | no | — |
| 686 | C2×D3 | — | 32 | 8 | no | — |
| 687 | C2×D3 | — | 32 | 2 | no | — |
| 688 | C3×C4 | — | 2 | 2 | no | — |
| 689 | C3×C4 | — | 2 | 2 | no | — |
| 690 | C3×C4 | — | 4 | 2 | no | — |
| 691 | C3×C4 | — | 32 | 1 | no | — |
| 692 | C3×C4 | #1639 | 1 | 1 | yes | characteristic |
| 693 | C3×C4 | #1639 | 1 | 1 | yes | characteristic |
| 694 | C3×C4 | #1786 | 1 | 1 | yes | characteristic |
| 695 | C3×C4 | #1786 | 1 | 1 | yes | characteristic |
| 696 | Dic3 | — | 4 | 2 | no | — |
| 697 | C23 | — | 4 | 1 | no | — |
| 698 | C23 | — | 12 | 1 | no | — |
| 699 | C23 | — | 12 | 4 | no | — |
| 700 | C23 | — | 24 | 8 | no | — |
| 701 | C23 | — | 24 | 2 | no | — |
| 702 | C23 | — | 24 | 2 | no | — |
| 703 | C23 | — | 48 | 2 | no | — |
| 704 | C23 | — | 48 | 2 | no | — |
| 705 | C23 | — | 96 | 2 | no | — |
| 706 | C23 | — | 96 | 2 | no | — |
| 707 | C23 | #5198 | 1 | 1 | yes | characteristic |
| 708 | Q8 | — | 2 | 2 | no | — |
| 709 | Q8 | — | 4 | 1 | no | — |
| 710 | Q8 | — | 6 | 2 | no | — |
| 711 | Q8 | — | 12 | 1 | no | — |
| 712 | D4 | — | 2 | 2 | no | — |
| 713 | D4 | — | 4 | 2 | no | — |
| 714 | D4 | — | 4 | 2 | no | — |
| 715 | D4 | — | 4 | 1 | no | — |
| 716 | D4 | — | 6 | 2 | no | — |
| 717 | D4 | — | 12 | 2 | no | — |
| 718 | D4 | — | 12 | 2 | no | — |
| 719 | D4 | — | 12 | 4 | no | — |
| 720 | D4 | — | 12 | 1 | no | — |
| 721 | D4 | — | 12 | 4 | no | — |
| 722 | D4 | — | 24 | 8 | no | — |
| 723 | D4 | — | 24 | 8 | no | — |
| 724 | D4 | — | 24 | 8 | no | — |
| 725 | D4 | — | 24 | 2 | no | — |
| 726 | D4 | — | 24 | 2 | no | — |
| 727 | D4 | — | 48 | 4 | no | — |
| 728 | C2×C4 | — | 2 | 4 | no | — |
| 729 | C2×C4 | — | 2 | 1 | no | — |
| 730 | C2×C4 | — | 2 | 1 | no | — |
| 731 | C2×C4 | — | 4 | 1 | no | — |
| 732 | C2×C4 | — | 4 | 2 | no | — |
| 733 | C2×C4 | — | 4 | 2 | no | — |
| 734 | C2×C4 | — | 12 | 1 | no | — |
| 735 | C2×C4 | — | 12 | 2 | no | — |
| 736 | C2×C4 | — | 12 | 2 | no | — |
| 737 | C2×C4 | — | 16 | 2 | no | — |
| 738 | C2×C4 | — | 16 | 1 | no | — |
| 739 | C2×C4 | — | 24 | 8 | no | — |
| 740 | C2×C4 | #4955 | 1 | 1 | yes | characteristic |
| 741 | C2×C4 | #5036 | 1 | 1 | yes | characteristic |
| 742 | C2×C4 | #5046 | 1 | 1 | yes | characteristic |
| 743 | C2×C4 | #5156 | 1 | 1 | yes | characteristic |
| 744 | C2×C4 | #5169 | 1 | 1 | yes | characteristic |
| 745 | C2×C4 | #5202 | 1 | 1 | yes | characteristic |
| 746 | C8 | — | 4 | 2 | no | — |
| 747 | C8 | — | 12 | 2 | no | — |
| 748 | C8 | — | 24 | 2 | no | — |
| 749 | C8 | D3×#102 | 1 | 1 | yes | characteristic |
| 750 | C8 | #4770 | 1 | 1 | yes | characteristic |
| 751 | C8 | #4773 | 1 | 1 | yes | characteristic |
| 752 | C8 | #4776 | 1 | 1 | yes | characteristic |
| 753 | C8 | C2×#809 | 1 | 1 | yes | characteristic |
| 754 | C8 | #5001 | 1 | 1 | yes | characteristic |
| 755 | C8 | #5036 | 1 | 1 | yes | characteristic |
| 756 | C8 | #5046 | 1 | 1 | yes | characteristic |
| 757 | C2×C3 | — | 2 | 1 | no | — |
| 758 | C2×C3 | — | 2 | 1 | no | — |
| 759 | C2×C3 | — | 8 | 2 | no | — |
| 760 | C2×C3 | #8443 | 1 | 1 | yes | characteristic |
| 761 | C2×C3 | #12366 | 1 | 2 | yes | — |
| 762 | D3 | — | 8 | 2 | no | — |
| 763 | D3 | — | 16 | 4 | no | — |
| 764 | C22 | — | 2 | 2 | no | — |
| 765 | C22 | — | 4 | 2 | no | — |
| 766 | C22 | — | 8 | 2 | no | — |
| 767 | C22 | — | 12 | 2 | no | — |
| 768 | C22 | — | 24 | 2 | no | — |
| 769 | C22 | — | 24 | 4 | no | — |
| 770 | C22 | — | 48 | 4 | no | — |
| 771 | C22 | — | 48 | 2 | no | — |
| 772 | C22 | — | 48 | 2 | no | — |
| 773 | C22 | — | 96 | 2 | no | — |
| 774 | C22 | — | 96 | 8 | no | — |
| 775 | C22 | #70305 | 1 | 1 | yes | characteristic |
| 776 | C22 | #71015 | 1 | 1 | yes | characteristic |
| 777 | C22 | #71143 | 1 | 1 | yes | characteristic |
| 778 | C4 | — | 2 | 2 | no | — |
| 779 | C4 | — | 2 | 2 | no | — |
| 780 | C4 | — | 4 | 2 | no | — |
| 781 | C4 | — | 12 | 2 | no | — |
| 782 | C4 | — | 32 | 1 | no | — |
| 783 | C4 | #69521 | 1 | 1 | yes | characteristic |
| 784 | C4 | #70198 | 1 | 1 | yes | characteristic |
| 785 | C4 | #71044 | 1 | 1 | yes | characteristic |
| 786 | C4 | #71108 | 1 | 1 | yes | characteristic |
| 787 | C3 | #131837 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 788 | C2 | — | 2 | 1 | no | — |
| 789 | C2 | — | 2 | 1 | no | — |
| 790 | C2 | — | 8 | 2 | no | — |
| 791 | C2 | — | 24 | 2 | no | — |
| 792 | C2 | — | 48 | 4 | no | — |
| 793 | C2 | #10687253 | 1 | 1 | yes | characteristic |
| 794 | C2 | #10708955 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #10711285 | C2 | semidirect |
| 3. C2×#67571 | C2 | semidirect |
| 4. C2×#67767 | C2 | semidirect |
| 5. C2×#67569 | C2 | semidirect |
| 6. #10695024 | C2 | semidirect |
| 7. C3×#12823 | C2 | semidirect |
| 16. #79894 | C4 | semidirect |
| 21. C2×C3×#364 | C22 | semidirect |
| 23. C3×#1844 | C22 | semidirect |
| 25. C2×#4463 | C22 | semidirect |
| 26. C2×#4455 | C22 | semidirect |
| 35. #12823 | D3 | semidirect |
| 116. C2×#364 | C2×D3 | semidirect |
| 120. #1844 | C2×D3 | semidirect |
| 343. C3×Q16 | #102 | semidirect |
| 347. C3×D8 | #102 | semidirect |
| 381. Dic12 | #102 | semidirect |
| 392. D24 | #102 | semidirect |
| 617. Q16 | #809 | semidirect |
| 637. D8 | #809 | semidirect |
| 787. C3 | #131837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#79894 | 2 |
| #10711285 | 2 |
| C2×#67571 | 2 |
| C2×#67767 | 2 |
| C2×#67569 | 2 |
| #10695024 | 2 |
| C3×#12823 | 2 |
| #131837 | 3 |