Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2824 conjugacy classes of subgroups.
The subgroup lattice has 766 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #87285 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×#5835 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×D3×#131 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #85900 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#2897 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83797 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #82562 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #78932 | C2 | 1 | 3 | yes | maximal, complemented |
| 9 | #78930 | C2 | 1 | 3 | yes | maximal, complemented |
| 10 | #78891 | C2 | 1 | 3 | yes | maximal, complemented |
| 11 | #78888 | C2 | 1 | 3 | yes | maximal, complemented |
| 12 | #78840 | C2 | 1 | 3 | yes | maximal, complemented |
| 13 | #78838 | C2 | 1 | 3 | yes | maximal, complemented |
| 14 | #78752 | C2 | 1 | 3 | yes | maximal, complemented |
| 15 | C2×#4775 | C2 | 1 | 3 | yes | maximal, complemented |
| 16 | #60458 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×C3×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#1009 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×D3×#41 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C3×#131 | C22 | 1 | 1 | yes | characteristic |
| 21 | C3×#520 | C22 | 1 | 1 | yes | characteristic |
| 22 | #5835 | — | 2 | 8 | no | — |
| 23 | #5834 | — | 2 | 1 | no | — |
| 24 | #5833 | C22 | 1 | 3 | yes | complemented |
| 25 | #5831 | — | 2 | 1 | no | — |
| 26 | #5828 | C22 | 1 | 3 | yes | complemented |
| 27 | #5827 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×#950 | C22 | 1 | 3 | yes | complemented |
| 29 | C2×#949 | C22 | 1 | 3 | yes | complemented |
| 30 | C2×#948 | C22 | 1 | 1 | yes | characteristic |
| 31 | #5806 | — | 2 | 3 | no | — |
| 32 | #5805 | C22 | 1 | 3 | yes | complemented |
| 33 | D4×#67 | — | 2 | 3 | no | — |
| 34 | C2×#938 | C22 | 1 | 3 | yes | complemented |
| 35 | C2×#932 | C22 | 1 | 3 | yes | complemented |
| 36 | C22×#213 | C22 | 1 | 3 | yes | complemented |
| 37 | D3×#131 | — | 2 | 8 | no | — |
| 38 | C2×#907 | C22 | 1 | 3 | yes | complemented |
| 39 | C2×D3×M16 | C22 | 1 | 3 | yes | complemented |
| 40 | C2×#901 | C22 | 1 | 3 | yes | complemented |
| 41 | C22×D3×C8 | C22 | 1 | 3 | yes | complemented |
| 42 | #5577 | — | 2 | 1 | no | — |
| 43 | #5576 | — | 2 | 1 | no | — |
| 44 | #5554 | — | 2 | 3 | no | — |
| 45 | D4×D12 | — | 2 | 3 | no | — |
| 46 | #5525 | C22 | 1 | 3 | yes | complemented |
| 47 | #5524 | C22 | 1 | 3 | yes | complemented |
| 48 | #5510 | C22 | 1 | 3 | yes | complemented |
| 49 | C2×#895 | C22 | 1 | 3 | yes | complemented |
| 50 | C3×#418 | C22 | 1 | 3 | yes | complemented |
| 51 | C3×#417 | C22 | 1 | 3 | yes | complemented |
| 52 | C3×#416 | C22 | 1 | 3 | yes | complemented |
| 53 | C2×C3×#102 | C22 | 1 | 3 | yes | complemented |
| 54 | #5133 | C22 | 1 | 3 | yes | complemented |
| 55 | #5131 | C22 | 1 | 3 | yes | complemented |
| 56 | #5113 | C22 | 1 | 3 | yes | complemented |
| 57 | C2×#821 | C22 | 1 | 3 | yes | complemented |
| 58 | #4998 | C22 | 1 | 3 | yes | complemented |
| 59 | #4995 | C22 | 1 | 3 | yes | complemented |
| 60 | #4964 | C22 | 1 | 3 | yes | complemented |
| 61 | C2×#807 | C22 | 1 | 3 | yes | complemented |
| 62 | #4813 | C22 | 1 | 3 | yes | complemented |
| 63 | #4813 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #4812 | C22 | 1 | 6 | yes | complemented |
| 65 | #4807 | C22 | 1 | 3 | yes | complemented |
| 66 | #4807 | C22 | 1 | 3 | yes | complemented |
| 67 | #4782 | C22 | 1 | 6 | yes | complemented |
| 68 | #4782 | C22 | 1 | 6 | yes | complemented |
| 69 | #4780 | C22 | 1 | 6 | yes | complemented |
| 70 | #4778 | C22 | 1 | 3 | yes | complemented |
| 71 | #4778 | C22 | 1 | 3 | yes | complemented |
| 72 | #4775 | C22 | 1 | 6 | yes | complemented |
| 73 | #4775 | C22 | 1 | 6 | yes | complemented |
| 74 | #4775 | C22 | 1 | 3 | yes | complemented |
| 75 | #4775 | C22 | 1 | 3 | yes | complemented |
| 76 | #4775 | C22 | 1 | 6 | yes | complemented |
| 77 | C2×#576 | — | 3 | 1 | no | — |
| 78 | C22×#131 | — | 3 | 1 | no | — |
| 79 | #3488 | — | 3 | 1 | no | — |
| 80 | #3488 | — | 3 | 1 | no | — |
| 81 | #3062 | — | 3 | 3 | no | — |
| 82 | #3062 | — | 3 | 3 | no | — |
| 83 | #3061 | — | 3 | 3 | no | — |
| 84 | #3058 | — | 3 | 3 | no | — |
| 85 | #3055 | — | 3 | 3 | no | — |
| 86 | #3055 | — | 3 | 3 | no | — |
| 87 | #3050 | — | 3 | 3 | no | — |
| 88 | C2×#466 | — | 3 | 3 | no | — |
| 89 | #2913 | — | 3 | 1 | no | — |
| 90 | #2897 | — | 3 | 1 | no | — |
| 91 | #2897 | D3 | 1 | 1 | yes | characteristic, complemented |
| 92 | C3×H(5,𝔽2) | — | 2 | 4 | no | — |
| 93 | C3×H(5,𝔽2) | — | 2 | 4 | no | — |
| 94 | C2×C3×#41 | — | 2 | 1 | no | — |
| 95 | C2×C3×#41 | C23 | 1 | 3 | yes | — |
| 96 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×C3×D4 | — | 2 | 3 | no | — |
| 98 | C22×C3×D4 | C23 | 1 | 3 | yes | — |
| 99 | C22×#67 | — | 2 | 3 | no | — |
| 100 | #1009 | — | 2 | 4 | no | — |
| 101 | #1009 | — | 2 | 4 | no | — |
| 102 | D3×#41 | — | 2 | 4 | no | — |
| 103 | D3×#41 | — | 2 | 4 | no | — |
| 104 | C2×#239 | — | 2 | 1 | no | — |
| 105 | C2×#239 | D4 | 1 | 1 | yes | characteristic |
| 106 | C2×D3×Q8 | D4 | 1 | 1 | yes | characteristic |
| 107 | C2×#237 | D4 | 1 | 3 | yes | — |
| 108 | C2×D3×D4 | — | 2 | 3 | no | — |
| 109 | C2×D3×D4 | D4 | 1 | 3 | yes | — |
| 110 | C2×#235 | C23 | 1 | 3 | yes | — |
| 111 | C2×#235 | C23 | 1 | 3 | yes | — |
| 112 | C22×D12 | — | 2 | 3 | no | — |
| 113 | C22×D12 | C23 | 1 | 3 | yes | — |
| 114 | C22×C4×D3 | C23 | 1 | 3 | yes | — |
| 115 | C3×#131 | — | 2 | 4 | no | — |
| 116 | C2×C3×M16 | C23 | 1 | 3 | yes | — |
| 117 | C22×C3×C8 | C23 | 1 | 3 | yes | — |
| 118 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 119 | C3×C4×D4 | — | 2 | 3 | no | — |
| 120 | C3×#117 | C23 | 1 | 3 | yes | — |
| 121 | C2×C3×C4⋊C4 | C23 | 1 | 3 | yes | — |
| 122 | #953 | — | 2 | 6 | no | — |
| 123 | C2×#217 | — | 2 | 3 | no | — |
| 124 | #950 | — | 2 | 12 | no | — |
| 125 | #949 | — | 2 | 12 | no | — |
| 126 | #948 | D4 | 1 | 8 | yes | complemented |
| 127 | #946 | C23 | 1 | 1 | yes | characteristic |
| 128 | #946 | C23 | 1 | 3 | yes | — |
| 129 | Q8×Dic3 | — | 2 | 1 | no | — |
| 130 | C2×#216 | C23 | 1 | 1 | yes | characteristic |
| 131 | C2×#215 | C23 | 1 | 3 | yes | — |
| 132 | #940 | — | 2 | 3 | no | — |
| 133 | #939 | — | 2 | 6 | no | — |
| 134 | #938 | — | 2 | 3 | no | — |
| 135 | #938 | — | 2 | 3 | no | — |
| 136 | #938 | C23 | 1 | 3 | yes | — |
| 137 | #938 | C23 | 1 | 6 | yes | — |
| 138 | #938 | C23 | 1 | 3 | yes | — |
| 139 | #937 | — | 2 | 3 | no | — |
| 140 | #936 | — | 2 | 3 | no | — |
| 141 | #935 | — | 2 | 3 | no | — |
| 142 | D4×Dic3 | — | 2 | 3 | no | — |
| 143 | C2×#214 | C23 | 1 | 3 | yes | — |
| 144 | #932 | — | 2 | 12 | no | — |
| 145 | C2×#213 | — | 2 | 12 | no | — |
| 146 | C2×#213 | C23 | 1 | 3 | yes | — |
| 147 | C2×#213 | C23 | 1 | 6 | yes | — |
| 148 | #930 | — | 2 | 6 | no | — |
| 149 | #930 | — | 2 | 3 | no | — |
| 150 | C4×#67 | — | 2 | 3 | no | — |
| 151 | C4×#67 | — | 2 | 3 | no | — |
| 152 | C2×(C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 153 | #926 | C23 | 1 | 3 | yes | — |
| 154 | C2×C4⋊Dic3 | C23 | 1 | 3 | yes | — |
| 155 | #924 | — | 2 | 3 | no | — |
| 156 | C2×#208 | C23 | 1 | 3 | yes | — |
| 157 | C22×C3⋊C8 | C23 | 1 | 3 | yes | — |
| 158 | #907 | — | 2 | 12 | no | — |
| 159 | D3×M16 | — | 2 | 12 | no | — |
| 160 | #901 | — | 2 | 12 | no | — |
| 161 | C2×ΓL(1,𝔽25) | C23 | 1 | 6 | yes | — |
| 162 | C2×D3×C8 | — | 2 | 12 | no | — |
| 163 | C2×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 164 | C2×D3×C8 | C23 | 1 | 3 | yes | — |
| 165 | C2×D3×C8 | C23 | 1 | 3 | yes | — |
| 166 | C2×D3×C8 | C23 | 1 | 3 | yes | — |
| 167 | #897 | — | 2 | 3 | no | — |
| 168 | #897 | C23 | 1 | 3 | yes | — |
| 169 | #897 | C23 | 1 | 1 | yes | characteristic |
| 170 | #895 | — | 2 | 3 | no | — |
| 171 | #895 | — | 2 | 3 | no | — |
| 172 | #895 | — | 2 | 3 | no | — |
| 173 | #895 | C23 | 1 | 3 | yes | — |
| 174 | #895 | C23 | 1 | 6 | yes | — |
| 175 | #895 | C23 | 1 | 3 | yes | — |
| 176 | #886 | — | 2 | 3 | no | — |
| 177 | #882 | — | 2 | 3 | no | — |
| 178 | #882 | — | 2 | 6 | no | — |
| 179 | #875 | — | 2 | 3 | no | — |
| 180 | #874 | — | 2 | 3 | no | — |
| 181 | C4×D12 | — | 2 | 3 | no | — |
| 182 | C4×D12 | — | 2 | 3 | no | — |
| 183 | C3×#103 | C23 | 1 | 1 | yes | characteristic |
| 184 | C3×#103 | C23 | 1 | 3 | yes | — |
| 185 | C3×#102 | C23 | 1 | 3 | yes | — |
| 186 | C3×#102 | C23 | 1 | 6 | yes | — |
| 187 | C3×#102 | C23 | 1 | 3 | yes | — |
| 188 | #821 | C23 | 1 | 3 | yes | — |
| 189 | #821 | C23 | 1 | 6 | yes | — |
| 190 | #821 | C23 | 1 | 3 | yes | — |
| 191 | #816 | C23 | 1 | 3 | yes | — |
| 192 | #816 | C23 | 1 | 1 | yes | characteristic |
| 193 | #808 | C23 | 1 | 3 | yes | — |
| 194 | #808 | C23 | 1 | 3 | yes | — |
| 195 | #807 | C23 | 1 | 3 | yes | — |
| 196 | #807 | C23 | 1 | 6 | yes | — |
| 197 | #807 | C23 | 1 | 1 | yes | characteristic |
| 198 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 199 | C2×H(5,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic |
| 200 | C22×#41 | — | 3 | 1 | no | — |
| 201 | #576 | — | 6 | 8 | no | — |
| 202 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 203 | C2×AGL(1,ℤ/8) | — | 3 | 3 | no | — |
| 204 | C2×#135 | — | 3 | 3 | no | — |
| 205 | C22×D8 | — | 3 | 3 | no | — |
| 206 | C2×#131 | — | 3 | 1 | no | — |
| 207 | C2×#131 | — | 3 | 3 | no | — |
| 208 | C2×#131 | — | 3 | 3 | no | — |
| 209 | C2×#131 | — | 6 | 8 | no | — |
| 210 | C2×#131 | C2×D3 | 1 | 1 | yes | characteristic |
| 211 | C22×M16 | — | 3 | 3 | no | — |
| 212 | C23×C8 | — | 3 | 3 | no | — |
| 213 | #550 | — | 6 | 1 | no | — |
| 214 | #550 | — | 6 | 1 | no | — |
| 215 | #548 | — | 6 | 1 | no | — |
| 216 | #548 | — | 6 | 1 | no | — |
| 217 | #546 | — | 6 | 3 | no | — |
| 218 | #546 | — | 6 | 3 | no | — |
| 219 | D42 | — | 6 | 3 | no | — |
| 220 | D42 | — | 6 | 3 | no | — |
| 221 | #537 | — | 3 | 3 | no | — |
| 222 | #537 | — | 3 | 3 | no | — |
| 223 | #535 | — | 3 | 3 | no | — |
| 224 | #535 | — | 3 | 3 | no | — |
| 225 | #525 | — | 3 | 3 | no | — |
| 226 | #525 | — | 3 | 3 | no | — |
| 227 | C2×#121 | — | 3 | 3 | no | — |
| 228 | C2×#121 | — | 3 | 3 | no | — |
| 229 | #520 | — | 3 | 1 | no | — |
| 230 | #520 | C2×D3 | 1 | 1 | yes | characteristic |
| 231 | #469 | — | 3 | 6 | no | — |
| 232 | #469 | — | 3 | 6 | no | — |
| 233 | #468 | — | 3 | 6 | no | — |
| 234 | #468 | — | 3 | 6 | no | — |
| 235 | #467 | — | 3 | 1 | no | — |
| 236 | #467 | — | 3 | 3 | no | — |
| 237 | #466 | — | 3 | 3 | no | — |
| 238 | #466 | — | 3 | 6 | no | — |
| 239 | #466 | — | 3 | 6 | no | — |
| 240 | #466 | — | 3 | 6 | no | — |
| 241 | #466 | — | 3 | 3 | no | — |
| 242 | #465 | — | 3 | 3 | no | — |
| 243 | #465 | — | 3 | 3 | no | — |
| 244 | #465 | — | 3 | 3 | no | — |
| 245 | #465 | — | 3 | 3 | no | — |
| 246 | #428 | — | 3 | 3 | no | — |
| 247 | #428 | — | 3 | 3 | no | — |
| 248 | #427 | — | 3 | 3 | no | — |
| 249 | C2×#107 | — | 3 | 3 | no | — |
| 250 | #418 | — | 3 | 3 | no | — |
| 251 | #418 | C2×D3 | 1 | 3 | yes | complemented |
| 252 | #417 | — | 3 | 3 | no | — |
| 253 | #417 | C2×D3 | 1 | 3 | yes | complemented |
| 254 | #416 | — | 3 | 3 | no | — |
| 255 | #416 | C2×D3 | 1 | 3 | yes | complemented |
| 256 | C2×#102 | — | 3 | 3 | no | — |
| 257 | C2×#102 | C2×D3 | 1 | 3 | yes | complemented |
| 258 | C24×C3 | — | 2 | 3 | no | — |
| 259 | C23×D3 | — | 2 | 3 | no | — |
| 260 | C23×D3 | C2×D4 | 1 | 3 | yes | — |
| 261 | C3×#41 | — | 2 | 6 | no | — |
| 262 | C3×#41 | — | 2 | 6 | no | — |
| 263 | C3×#41 | — | 4 | 4 | no | — |
| 264 | C3×#41 | C2×D4 | 1 | 4 | yes | — |
| 265 | C3×#41 | #41 | 1 | 4 | yes | — |
| 266 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 267 | C2×C3×Q8 | C24 | 1 | 1 | yes | characteristic |
| 268 | C2×C3×D4 | — | 2 | 3 | no | — |
| 269 | C2×C3×D4 | — | 2 | 6 | no | — |
| 270 | C2×C3×D4 | — | 2 | 3 | no | — |
| 271 | C2×C3×D4 | — | 2 | 6 | no | — |
| 272 | C2×C3×D4 | — | 4 | 12 | no | — |
| 273 | C2×C3×D4 | C2×D4 | 1 | 3 | yes | — |
| 274 | C2×C3×D4 | C24 | 1 | 3 | yes | — |
| 275 | C22×C3×C4 | — | 2 | 3 | no | — |
| 276 | C22×C3×C4 | — | 2 | 3 | no | — |
| 277 | C22×C3×C4 | C24 | 1 | 3 | yes | — |
| 278 | C2×#67 | — | 2 | 3 | no | — |
| 279 | C2×#67 | — | 2 | 3 | no | — |
| 280 | C2×#67 | — | 2 | 3 | no | — |
| 281 | C2×#67 | — | 2 | 6 | no | — |
| 282 | C2×#67 | — | 8 | 6 | no | — |
| 283 | C2×#67 | C2×D4 | 1 | 6 | yes | — |
| 284 | C22×Dic3 | — | 2 | 3 | no | — |
| 285 | C22×Dic3 | C2×D4 | 1 | 3 | yes | — |
| 286 | #239 | — | 2 | 4 | no | — |
| 287 | #239 | — | 4 | 4 | no | — |
| 288 | D3×Q8 | — | 2 | 4 | no | — |
| 289 | #237 | — | 2 | 12 | no | — |
| 290 | D3×D4 | — | 2 | 12 | no | — |
| 291 | D3×D4 | — | 4 | 12 | no | — |
| 292 | #235 | — | 2 | 6 | no | — |
| 293 | #235 | — | 2 | 6 | no | — |
| 294 | #235 | — | 2 | 6 | no | — |
| 295 | #235 | — | 2 | 6 | no | — |
| 296 | C2×D12 | — | 2 | 6 | no | — |
| 297 | C2×D12 | — | 2 | 6 | no | — |
| 298 | C2×D12 | — | 2 | 3 | no | — |
| 299 | C2×D12 | — | 2 | 3 | no | — |
| 300 | C2×D12 | — | 2 | 3 | no | — |
| 301 | C2×D12 | — | 2 | 6 | no | — |
| 302 | C2×D12 | — | 8 | 6 | no | — |
| 303 | C2×D12 | C2×D4 | 1 | 3 | yes | — |
| 304 | C2×D12 | C24 | 1 | 3 | yes | — |
| 305 | C2×C4×D3 | — | 2 | 6 | no | — |
| 306 | C2×C4×D3 | — | 2 | 6 | no | — |
| 307 | C2×C4×D3 | — | 2 | 3 | no | — |
| 308 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 309 | C2×C4×D3 | C2×D4 | 1 | 3 | yes | — |
| 310 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 311 | C2×C4×D3 | C24 | 1 | 3 | yes | — |
| 312 | C2×Dic6 | C2×D4 | 1 | 3 | yes | — |
| 313 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 314 | C3×M16 | — | 2 | 6 | no | — |
| 315 | C2×C3×C8 | — | 2 | 6 | no | — |
| 316 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 317 | C2×C3×C8 | C24 | 1 | 3 | yes | — |
| 318 | C3×C4⋊C4 | — | 2 | 3 | no | — |
| 319 | C3×C4⋊C4 | C24 | 1 | 3 | yes | — |
| 320 | C3×C4⋊C4 | C24 | 1 | 1 | yes | characteristic |
| 321 | C3×C22⋊C4 | — | 2 | 3 | no | — |
| 322 | C3×C42 | — | 2 | 3 | no | — |
| 323 | #217 | — | 2 | 3 | no | — |
| 324 | #217 | — | 2 | 6 | no | — |
| 325 | #217 | — | 2 | 3 | no | — |
| 326 | #217 | — | 2 | 3 | no | — |
| 327 | #216 | — | 2 | 2 | no | — |
| 328 | #215 | — | 2 | 6 | no | — |
| 329 | #214 | — | 2 | 6 | no | — |
| 330 | #213 | — | 2 | 6 | no | — |
| 331 | #213 | — | 2 | 12 | no | — |
| 332 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 333 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 334 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 335 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 336 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 337 | (C2×D3)⋊C4 | — | 2 | 3 | no | — |
| 338 | (C2×D3)⋊C4 | — | 2 | 6 | no | — |
| 339 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 340 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 341 | C4⋊Dic3 | — | 2 | 3 | no | — |
| 342 | C4⋊Dic3 | C24 | 1 | 3 | yes | — |
| 343 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 344 | Dic3⋊C4 | — | 2 | 3 | no | — |
| 345 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 346 | C4×Dic3 | — | 2 | 3 | no | — |
| 347 | #208 | C2×D4 | 1 | 12 | yes | complemented |
| 348 | C2×C3⋊C8 | C2×D4 | 1 | 12 | yes | complemented |
| 349 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 350 | C2×C3⋊C8 | C24 | 1 | 3 | yes | — |
| 351 | ΓL(1,𝔽25) | — | 2 | 12 | no | — |
| 352 | D3×C8 | — | 2 | 2 | no | — |
| 353 | D3×C8 | — | 2 | 6 | no | — |
| 354 | D3×C8 | — | 2 | 6 | no | — |
| 355 | D3×C8 | — | 2 | 6 | no | — |
| 356 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 357 | H(5,𝔽2) | — | 2 | 4 | no | — |
| 358 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 359 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 360 | C2×#41 | — | 2 | 1 | no | — |
| 361 | C2×#41 | — | 3 | 1 | no | — |
| 362 | C2×#41 | — | 3 | 3 | no | — |
| 363 | C2×#41 | — | 3 | 3 | no | — |
| 364 | C2×#41 | — | 3 | 3 | no | — |
| 365 | C2×#41 | — | 6 | 4 | no | — |
| 366 | C2×#41 | — | 6 | 4 | no | — |
| 367 | C2×#41 | — | 6 | 1 | no | — |
| 368 | C2×#41 | C22×D3 | 1 | 3 | yes | — |
| 369 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 370 | C22×Q8 | — | 3 | 1 | no | — |
| 371 | C22×D4 | — | 2 | 3 | no | — |
| 372 | C22×D4 | — | 3 | 3 | no | — |
| 373 | C22×D4 | — | 3 | 3 | no | — |
| 374 | C22×D4 | — | 6 | 3 | no | — |
| 375 | C22×D4 | — | 6 | 3 | no | — |
| 376 | C22×D4 | — | 6 | 3 | no | — |
| 377 | C22×D4 | C22×D3 | 1 | 3 | yes | — |
| 378 | C23×C4 | — | 3 | 3 | no | — |
| 379 | AGL(1,ℤ/8) | — | 6 | 12 | no | — |
| 380 | AGL(1,ℤ/8) | — | 6 | 12 | no | — |
| 381 | #135 | — | 6 | 12 | no | — |
| 382 | C2×Q16 | — | 3 | 1 | no | — |
| 383 | C2×SD16 | — | 3 | 3 | no | — |
| 384 | C2×SD16 | — | 3 | 3 | no | — |
| 385 | C2×D8 | — | 3 | 3 | no | — |
| 386 | C2×D8 | — | 3 | 6 | no | — |
| 387 | C2×D8 | — | 6 | 12 | no | — |
| 388 | #131 | — | 2 | 4 | no | — |
| 389 | #131 | — | 3 | 8 | no | — |
| 390 | #131 | — | 6 | 12 | no | — |
| 391 | #131 | — | 6 | 12 | no | — |
| 392 | C2×M16 | — | 3 | 3 | no | — |
| 393 | C2×M16 | — | 3 | 6 | no | — |
| 394 | C2×M16 | — | 6 | 12 | no | — |
| 395 | C2×M16 | C22×D3 | 1 | 3 | yes | — |
| 396 | C22×C8 | — | 3 | 3 | no | — |
| 397 | C22×C8 | — | 3 | 1 | no | — |
| 398 | C22×C8 | — | 3 | 3 | no | — |
| 399 | C22×C8 | — | 3 | 3 | no | — |
| 400 | C22×C8 | — | 3 | 3 | no | — |
| 401 | C22×C8 | — | 6 | 12 | no | — |
| 402 | C22×C8 | C22×D3 | 1 | 3 | yes | — |
| 403 | #127 | — | 6 | 3 | no | — |
| 404 | #127 | — | 6 | 3 | no | — |
| 405 | #124 | — | 6 | 3 | no | — |
| 406 | #124 | — | 6 | 3 | no | — |
| 407 | #123 | — | 6 | 3 | no | — |
| 408 | #123 | — | 6 | 3 | no | — |
| 409 | C22⋊Q8 | — | 3 | 1 | no | — |
| 410 | C22⋊Q8 | — | 3 | 3 | no | — |
| 411 | C22⋊Q8 | — | 3 | 1 | no | — |
| 412 | C22⋊Q8 | — | 3 | 3 | no | — |
| 413 | C22⋊Q8 | — | 6 | 3 | no | — |
| 414 | C22⋊Q8 | — | 6 | 3 | no | — |
| 415 | #121 | — | 3 | 3 | no | — |
| 416 | #121 | — | 3 | 6 | no | — |
| 417 | #121 | — | 3 | 3 | no | — |
| 418 | #121 | — | 3 | 3 | no | — |
| 419 | #121 | — | 3 | 6 | no | — |
| 420 | #121 | — | 3 | 3 | no | — |
| 421 | #121 | — | 6 | 3 | no | — |
| 422 | #121 | — | 6 | 3 | no | — |
| 423 | #121 | — | 6 | 3 | no | — |
| 424 | #121 | — | 6 | 6 | no | — |
| 425 | #121 | — | 6 | 3 | no | — |
| 426 | #121 | — | 6 | 3 | no | — |
| 427 | #121 | — | 6 | 3 | no | — |
| 428 | #121 | — | 6 | 6 | no | — |
| 429 | #120 | — | 6 | 6 | no | — |
| 430 | #120 | — | 6 | 3 | no | — |
| 431 | #120 | — | 6 | 3 | no | — |
| 432 | #120 | — | 6 | 6 | no | — |
| 433 | C4×Q8 | — | 2 | 1 | no | — |
| 434 | C4×Q8 | — | 6 | 1 | no | — |
| 435 | C4×D4 | — | 2 | 3 | no | — |
| 436 | C4×D4 | — | 6 | 3 | no | — |
| 437 | C4×D4 | — | 6 | 3 | no | — |
| 438 | C4×D4 | — | 6 | 3 | no | — |
| 439 | C4×D4 | — | 6 | 3 | no | — |
| 440 | C4×D4 | — | 6 | 3 | no | — |
| 441 | #117 | — | 3 | 3 | no | — |
| 442 | #117 | C22×D3 | 1 | 3 | yes | — |
| 443 | C2×C4⋊C4 | — | 3 | 3 | no | — |
| 444 | C2×C4⋊C4 | C22×D3 | 1 | 3 | yes | — |
| 445 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 446 | C2×C22⋊C4 | — | 6 | 3 | no | — |
| 447 | #107 | — | 3 | 3 | no | — |
| 448 | #107 | — | 3 | 6 | no | — |
| 449 | #107 | — | 3 | 1 | no | — |
| 450 | #106 | — | 3 | 3 | no | — |
| 451 | #106 | — | 3 | 3 | no | — |
| 452 | #103 | — | 3 | 1 | no | — |
| 453 | #103 | — | 3 | 3 | no | — |
| 454 | #103 | C22×D3 | 1 | 1 | yes | characteristic |
| 455 | #103 | C22×D3 | 1 | 3 | yes | — |
| 456 | #102 | — | 3 | 3 | no | — |
| 457 | #102 | — | 3 | 6 | no | — |
| 458 | #102 | — | 3 | 3 | no | — |
| 459 | #102 | C22×D3 | 1 | 3 | yes | — |
| 460 | #102 | C22×D3 | 1 | 6 | yes | — |
| 461 | #102 | C22×D3 | 1 | 3 | yes | — |
| 462 | C23×C3 | — | 2 | 3 | no | — |
| 463 | C23×C3 | — | 4 | 6 | no | — |
| 464 | C23×C3 | — | 8 | 3 | no | — |
| 465 | C23×C3 | — | 8 | 3 | no | — |
| 466 | C23×C3 | C22×D4 | 1 | 3 | yes | — |
| 467 | C22×D3 | — | 2 | 6 | no | — |
| 468 | C22×D3 | — | 2 | 6 | no | — |
| 469 | C22×D3 | — | 2 | 3 | no | — |
| 470 | C22×D3 | — | 4 | 3 | no | — |
| 471 | C22×D3 | — | 4 | 6 | no | — |
| 472 | C22×D3 | — | 8 | 3 | no | — |
| 473 | C22×D3 | — | 8 | 3 | no | — |
| 474 | C22×D3 | C22×D4 | 1 | 3 | yes | — |
| 475 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 476 | C3×Q8 | — | 2 | 1 | no | — |
| 477 | C3×Q8 | — | 2 | 1 | no | — |
| 478 | C3×Q8 | #121 | 1 | 4 | yes | — |
| 479 | C3×D4 | — | 2 | 3 | no | — |
| 480 | C3×D4 | — | 2 | 3 | no | — |
| 481 | C3×D4 | — | 4 | 6 | no | — |
| 482 | C3×D4 | — | 4 | 6 | no | — |
| 483 | C3×D4 | #121 | 1 | 12 | yes | — |
| 484 | C2×C3×C4 | — | 2 | 1 | no | — |
| 485 | C2×C3×C4 | — | 2 | 1 | no | — |
| 486 | C2×C3×C4 | — | 2 | 3 | no | — |
| 487 | C2×C3×C4 | — | 4 | 6 | no | — |
| 488 | C2×C3×C4 | — | 8 | 3 | no | — |
| 489 | C2×C3×C4 | C22×D4 | 1 | 3 | yes | — |
| 490 | C2×C3×C4 | C22×D4 | 1 | 6 | yes | — |
| 491 | C2×C3×C4 | C2×#41 | 1 | 6 | yes | — |
| 492 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 493 | #67 | — | 2 | 12 | no | — |
| 494 | #67 | — | 4 | 6 | no | — |
| 495 | #67 | — | 4 | 6 | no | — |
| 496 | #67 | — | 8 | 3 | no | — |
| 497 | #67 | — | 8 | 6 | no | — |
| 498 | C2×Dic3 | — | 2 | 6 | no | — |
| 499 | C2×Dic3 | — | 2 | 1 | no | — |
| 500 | C2×Dic3 | — | 2 | 3 | no | — |
| 501 | C2×Dic3 | — | 2 | 1 | no | — |
| 502 | C2×Dic3 | — | 8 | 3 | no | — |
| 503 | C2×Dic3 | C22×D4 | 1 | 3 | yes | — |
| 504 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 505 | D12 | — | 2 | 6 | no | — |
| 506 | D12 | — | 2 | 3 | no | — |
| 507 | D12 | — | 2 | 3 | no | — |
| 508 | D12 | — | 4 | 6 | no | — |
| 509 | D12 | — | 4 | 6 | no | — |
| 510 | D12 | — | 8 | 3 | no | — |
| 511 | D12 | — | 8 | 6 | no | — |
| 512 | C4×D3 | — | 2 | 6 | no | — |
| 513 | C4×D3 | — | 2 | 6 | no | — |
| 514 | C4×D3 | — | 2 | 1 | no | — |
| 515 | C4×D3 | — | 2 | 3 | no | — |
| 516 | C4×D3 | — | 2 | 1 | no | — |
| 517 | C4×D3 | — | 2 | 3 | no | — |
| 518 | C4×D3 | — | 4 | 6 | no | — |
| 519 | Dic6 | — | 2 | 6 | no | — |
| 520 | Dic6 | — | 2 | 1 | no | — |
| 521 | Dic6 | — | 2 | 1 | no | — |
| 522 | C3×C8 | — | 2 | 1 | no | — |
| 523 | C3×C8 | — | 2 | 3 | no | — |
| 524 | C3⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 525 | C3⋊C8 | C22×D4 | 1 | 6 | yes | — |
| 526 | C24 | — | 2 | 3 | no | — |
| 527 | C24 | — | 3 | 3 | no | — |
| 528 | C24 | — | 6 | 3 | no | — |
| 529 | #41 | — | 2 | 6 | no | — |
| 530 | #41 | — | 2 | 6 | no | — |
| 531 | #41 | — | 4 | 4 | no | — |
| 532 | #41 | — | 6 | 4 | no | — |
| 533 | #41 | — | 6 | 12 | no | — |
| 534 | #41 | — | 6 | 6 | no | — |
| 535 | #41 | — | 6 | 6 | no | — |
| 536 | #41 | — | 6 | 6 | no | — |
| 537 | #41 | — | 6 | 6 | no | — |
| 538 | #41 | — | 12 | 4 | no | — |
| 539 | #41 | #235 | 1 | 4 | yes | — |
| 540 | #41 | D3×D4 | 1 | 4 | yes | — |
| 541 | C2×Q8 | — | 3 | 3 | no | — |
| 542 | C2×Q8 | — | 3 | 1 | no | — |
| 543 | C2×Q8 | — | 6 | 4 | no | — |
| 544 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 545 | C2×Q8 | C23×D3 | 1 | 1 | yes | characteristic |
| 546 | C2×D4 | — | 2 | 3 | no | — |
| 547 | C2×D4 | — | 2 | 6 | no | — |
| 548 | C2×D4 | — | 2 | 6 | no | — |
| 549 | C2×D4 | — | 2 | 3 | no | — |
| 550 | C2×D4 | — | 3 | 6 | no | — |
| 551 | C2×D4 | — | 3 | 3 | no | — |
| 552 | C2×D4 | — | 3 | 3 | no | — |
| 553 | C2×D4 | — | 4 | 12 | no | — |
| 554 | C2×D4 | — | 6 | 3 | no | — |
| 555 | C2×D4 | — | 6 | 3 | no | — |
| 556 | C2×D4 | — | 6 | 6 | no | — |
| 557 | C2×D4 | — | 6 | 12 | no | — |
| 558 | C2×D4 | — | 6 | 3 | no | — |
| 559 | C2×D4 | — | 6 | 3 | no | — |
| 560 | C2×D4 | — | 6 | 3 | no | — |
| 561 | C2×D4 | — | 6 | 6 | no | — |
| 562 | C2×D4 | — | 6 | 6 | no | — |
| 563 | C2×D4 | — | 6 | 6 | no | — |
| 564 | C2×D4 | — | 6 | 3 | no | — |
| 565 | C2×D4 | — | 12 | 12 | no | — |
| 566 | C2×D4 | — | 24 | 6 | no | — |
| 567 | C2×D4 | — | 24 | 6 | no | — |
| 568 | C2×D4 | D3×D4 | 1 | 3 | yes | — |
| 569 | C2×D4 | C23×D3 | 1 | 3 | yes | — |
| 570 | C22×C4 | — | 2 | 3 | no | — |
| 571 | C22×C4 | — | 2 | 3 | no | — |
| 572 | C22×C4 | — | 3 | 3 | no | — |
| 573 | C22×C4 | — | 3 | 3 | no | — |
| 574 | C22×C4 | — | 3 | 3 | no | — |
| 575 | C22×C4 | — | 3 | 1 | no | — |
| 576 | C22×C4 | — | 3 | 3 | no | — |
| 577 | C22×C4 | — | 6 | 6 | no | — |
| 578 | C22×C4 | — | 6 | 6 | no | — |
| 579 | C22×C4 | — | 6 | 3 | no | — |
| 580 | C22×C4 | — | 6 | 3 | no | — |
| 581 | C22×C4 | C23×D3 | 1 | 3 | yes | — |
| 582 | Q16 | — | 6 | 2 | no | — |
| 583 | SD16 | — | 6 | 6 | no | — |
| 584 | SD16 | — | 6 | 6 | no | — |
| 585 | D8 | — | 6 | 6 | no | — |
| 586 | D8 | — | 6 | 12 | no | — |
| 587 | M16 | — | 2 | 6 | no | — |
| 588 | M16 | — | 3 | 12 | no | — |
| 589 | M16 | — | 6 | 12 | no | — |
| 590 | C2×C8 | — | 2 | 6 | no | — |
| 591 | C2×C8 | — | 3 | 12 | no | — |
| 592 | C2×C8 | — | 3 | 3 | no | — |
| 593 | C2×C8 | — | 3 | 1 | no | — |
| 594 | C2×C8 | — | 6 | 2 | no | — |
| 595 | C2×C8 | — | 6 | 6 | no | — |
| 596 | C2×C8 | — | 6 | 6 | no | — |
| 597 | C2×C8 | — | 6 | 6 | no | — |
| 598 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 599 | C2×C8 | C23×D3 | 1 | 3 | yes | — |
| 600 | C4⋊C4 | — | 2 | 3 | no | — |
| 601 | C4⋊C4 | — | 3 | 1 | no | — |
| 602 | C4⋊C4 | — | 3 | 3 | no | — |
| 603 | C4⋊C4 | — | 6 | 1 | no | — |
| 604 | C4⋊C4 | — | 6 | 1 | no | — |
| 605 | C4⋊C4 | — | 6 | 3 | no | — |
| 606 | C4⋊C4 | — | 6 | 3 | no | — |
| 607 | C4⋊C4 | — | 6 | 3 | no | — |
| 608 | C4⋊C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 609 | C4⋊C4 | C23×D3 | 1 | 3 | yes | — |
| 610 | C22⋊C4 | — | 2 | 3 | no | — |
| 611 | C22⋊C4 | — | 6 | 3 | no | — |
| 612 | C22⋊C4 | — | 6 | 6 | no | — |
| 613 | C22⋊C4 | — | 6 | 3 | no | — |
| 614 | C22⋊C4 | — | 6 | 1 | no | — |
| 615 | C22⋊C4 | — | 6 | 1 | no | — |
| 616 | C22⋊C4 | — | 6 | 3 | no | — |
| 617 | C22⋊C4 | — | 6 | 3 | no | — |
| 618 | C22⋊C4 | — | 6 | 3 | no | — |
| 619 | C22⋊C4 | — | 6 | 6 | no | — |
| 620 | C22⋊C4 | — | 6 | 3 | no | — |
| 621 | C22⋊C4 | — | 6 | 3 | no | — |
| 622 | C42 | — | 2 | 3 | no | — |
| 623 | C42 | — | 6 | 3 | no | — |
| 624 | C22×C3 | — | 2 | 3 | no | — |
| 625 | C22×C3 | — | 2 | 3 | no | — |
| 626 | C22×C3 | — | 4 | 3 | no | — |
| 627 | C22×C3 | — | 4 | 3 | no | — |
| 628 | C22×C3 | — | 4 | 3 | no | — |
| 629 | C22×C3 | — | 16 | 6 | no | — |
| 630 | C22×C3 | C2×#121 | 1 | 6 | yes | — |
| 631 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 632 | C2×D3 | — | 2 | 1 | no | — |
| 633 | C2×D3 | — | 2 | 1 | no | — |
| 634 | C2×D3 | — | 2 | 3 | no | — |
| 635 | C2×D3 | — | 2 | 3 | no | — |
| 636 | C2×D3 | — | 2 | 3 | no | — |
| 637 | C2×D3 | — | 4 | 12 | no | — |
| 638 | C2×D3 | — | 4 | 3 | no | — |
| 639 | C2×D3 | — | 4 | 3 | no | — |
| 640 | C2×D3 | — | 4 | 3 | no | — |
| 641 | C2×D3 | — | 16 | 6 | no | — |
| 642 | C2×D3 | #576 | 1 | 2 | yes | complemented |
| 643 | C3×C4 | — | 4 | 1 | no | — |
| 644 | C3×C4 | — | 4 | 1 | no | — |
| 645 | C3×C4 | — | 4 | 3 | no | — |
| 646 | C3×C4 | C2×#121 | 1 | 6 | yes | — |
| 647 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 648 | C3×C4 | C22×#41 | 1 | 1 | yes | characteristic |
| 649 | Dic3 | — | 2 | 3 | no | — |
| 650 | Dic3 | — | 2 | 1 | no | — |
| 651 | Dic3 | — | 4 | 1 | no | — |
| 652 | Dic3 | — | 4 | 1 | no | — |
| 653 | Dic3 | — | 4 | 3 | no | — |
| 654 | C23 | — | 2 | 3 | no | — |
| 655 | C23 | — | 3 | 1 | no | — |
| 656 | C23 | — | 3 | 3 | no | — |
| 657 | C23 | — | 4 | 6 | no | — |
| 658 | C23 | — | 6 | 6 | no | — |
| 659 | C23 | — | 6 | 6 | no | — |
| 660 | C23 | — | 6 | 3 | no | — |
| 661 | C23 | — | 8 | 3 | no | — |
| 662 | C23 | — | 8 | 3 | no | — |
| 663 | C23 | — | 12 | 3 | no | — |
| 664 | C23 | — | 12 | 6 | no | — |
| 665 | C23 | — | 24 | 3 | no | — |
| 666 | C23 | — | 24 | 3 | no | — |
| 667 | C23 | C2×D3×D4 | 1 | 3 | yes | — |
| 668 | Q8 | — | 2 | 1 | no | — |
| 669 | Q8 | — | 2 | 1 | no | — |
| 670 | Q8 | — | 6 | 6 | no | — |
| 671 | Q8 | — | 6 | 1 | no | — |
| 672 | Q8 | — | 6 | 1 | no | — |
| 673 | Q8 | #884 | 1 | 4 | yes | — |
| 674 | D4 | — | 2 | 3 | no | — |
| 675 | D4 | — | 2 | 3 | no | — |
| 676 | D4 | — | 4 | 6 | no | — |
| 677 | D4 | — | 4 | 6 | no | — |
| 678 | D4 | — | 6 | 12 | no | — |
| 679 | D4 | — | 6 | 3 | no | — |
| 680 | D4 | — | 6 | 3 | no | — |
| 681 | D4 | — | 6 | 6 | no | — |
| 682 | D4 | — | 12 | 6 | no | — |
| 683 | D4 | — | 12 | 6 | no | — |
| 684 | D4 | — | 12 | 6 | no | — |
| 685 | D4 | — | 12 | 6 | no | — |
| 686 | D4 | — | 24 | 6 | no | — |
| 687 | D4 | — | 24 | 3 | no | — |
| 688 | D4 | — | 24 | 6 | no | — |
| 689 | D4 | — | 24 | 3 | no | — |
| 690 | D4 | #884 | 1 | 12 | yes | — |
| 691 | C2×C4 | — | 2 | 1 | no | — |
| 692 | C2×C4 | — | 2 | 3 | no | — |
| 693 | C2×C4 | — | 2 | 1 | no | — |
| 694 | C2×C4 | — | 3 | 1 | no | — |
| 695 | C2×C4 | — | 3 | 3 | no | — |
| 696 | C2×C4 | — | 4 | 6 | no | — |
| 697 | C2×C4 | — | 6 | 6 | no | — |
| 698 | C2×C4 | — | 6 | 1 | no | — |
| 699 | C2×C4 | — | 6 | 3 | no | — |
| 700 | C2×C4 | — | 6 | 1 | no | — |
| 701 | C2×C4 | — | 6 | 3 | no | — |
| 702 | C2×C4 | — | 6 | 6 | no | — |
| 703 | C2×C4 | — | 6 | 6 | no | — |
| 704 | C2×C4 | — | 6 | 1 | no | — |
| 705 | C2×C4 | — | 6 | 3 | no | — |
| 706 | C2×C4 | — | 6 | 1 | no | — |
| 707 | C2×C4 | — | 8 | 3 | no | — |
| 708 | C2×C4 | — | 12 | 6 | no | — |
| 709 | C2×C4 | — | 24 | 3 | no | — |
| 710 | C2×C4 | C2×#235 | 1 | 6 | yes | — |
| 711 | C2×C4 | C2×D3×D4 | 1 | 6 | yes | — |
| 712 | C2×C4 | C2×D3×D4 | 1 | 3 | yes | — |
| 713 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 714 | C8 | — | 2 | 1 | no | — |
| 715 | C8 | — | 2 | 3 | no | — |
| 716 | C8 | — | 3 | 2 | no | — |
| 717 | C8 | — | 3 | 6 | no | — |
| 718 | C2×C3 | — | 2 | 6 | no | — |
| 719 | C2×C3 | — | 8 | 3 | no | — |
| 720 | C2×C3 | C22×#121 | 1 | 1 | yes | characteristic |
| 721 | C2×C3 | C2×#576 | 1 | 1 | yes | characteristic |
| 722 | C2×C3 | #3584 | 1 | 1 | yes | characteristic |
| 723 | D3 | — | 2 | 2 | no | — |
| 724 | D3 | — | 4 | 3 | no | — |
| 725 | D3 | — | 8 | 3 | no | — |
| 726 | C22 | — | 2 | 3 | no | — |
| 727 | C22 | — | 2 | 3 | no | — |
| 728 | C22 | — | 3 | 2 | no | — |
| 729 | C22 | — | 4 | 3 | no | — |
| 730 | C22 | — | 4 | 3 | no | — |
| 731 | C22 | — | 4 | 3 | no | — |
| 732 | C22 | — | 6 | 1 | no | — |
| 733 | C22 | — | 6 | 1 | no | — |
| 734 | C22 | — | 6 | 3 | no | — |
| 735 | C22 | — | 6 | 3 | no | — |
| 736 | C22 | — | 6 | 3 | no | — |
| 737 | C22 | — | 12 | 12 | no | — |
| 738 | C22 | — | 12 | 3 | no | — |
| 739 | C22 | — | 12 | 3 | no | — |
| 740 | C22 | — | 12 | 3 | no | — |
| 741 | C22 | — | 16 | 6 | no | — |
| 742 | C22 | — | 48 | 6 | no | — |
| 743 | C22 | C2×#884 | 1 | 6 | yes | — |
| 744 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 745 | C4 | — | 4 | 3 | no | — |
| 746 | C4 | — | 4 | 1 | no | — |
| 747 | C4 | — | 4 | 1 | no | — |
| 748 | C4 | — | 6 | 1 | no | — |
| 749 | C4 | — | 6 | 3 | no | — |
| 750 | C4 | — | 12 | 3 | no | — |
| 751 | C4 | — | 12 | 1 | no | — |
| 752 | C4 | — | 12 | 1 | no | — |
| 753 | C4 | C2×#884 | 1 | 6 | yes | — |
| 754 | C4 | C22×#235 | 1 | 1 | yes | characteristic |
| 755 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 756 | C3 | #60458 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 757 | C2 | — | 2 | 6 | no | — |
| 758 | C2 | — | 6 | 2 | no | — |
| 759 | C2 | — | 8 | 3 | no | — |
| 760 | C2 | — | 12 | 3 | no | — |
| 761 | C2 | — | 24 | 3 | no | — |
| 762 | C2 | C22×#884 | 1 | 1 | yes | characteristic |
| 763 | C2 | D3×#576 | 1 | 1 | yes | characteristic |
| 764 | C2 | #87206 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #87285 | C2 | semidirect |
| 2. C2×#5835 | C2 | semidirect |
| 3. C2×D3×#131 | C2 | semidirect |
| 4. #85900 | C2 | semidirect |
| 5. C3×#2897 | C2 | semidirect |
| 6. #83797 | C2 | semidirect |
| 7. #82562 | C2 | semidirect |
| 8. #78932 | C2 | semidirect |
| 9. #78930 | C2 | semidirect |
| 10. #78891 | C2 | semidirect |
| 11. #78888 | C2 | semidirect |
| 12. #78840 | C2 | semidirect |
| 13. #78838 | C2 | semidirect |
| 14. #78752 | C2 | semidirect |
| 15. C2×#4775 | C2 | semidirect |
| 24. #5833 | C22 | semidirect |
| 26. #5828 | C22 | semidirect |
| 28. C2×#950 | C22 | semidirect |
| 29. C2×#949 | C22 | semidirect |
| 32. #5805 | C22 | semidirect |
| 34. C2×#938 | C22 | semidirect |
| 35. C2×#932 | C22 | semidirect |
| 36. C22×#213 | C22 | semidirect |
| 38. C2×#907 | C22 | semidirect |
| 39. C2×D3×M16 | C22 | semidirect |
| 40. C2×#901 | C22 | semidirect |
| 41. C22×D3×C8 | C22 | semidirect |
| 46. #5525 | C22 | semidirect |
| 47. #5524 | C22 | semidirect |
| 48. #5510 | C22 | semidirect |
| 49. C2×#895 | C22 | semidirect |
| 50. C3×#418 | C22 | semidirect |
| 51. C3×#417 | C22 | semidirect |
| 52. C3×#416 | C22 | semidirect |
| 53. C2×C3×#102 | C22 | semidirect |
| 54. #5133 | C22 | semidirect |
| 55. #5131 | C22 | semidirect |
| 56. #5113 | C22 | semidirect |
| 57. C2×#821 | C22 | semidirect |
| 58. #4998 | C22 | semidirect |
| 59. #4995 | C22 | semidirect |
| 60. #4964 | C22 | semidirect |
| 61. C2×#807 | C22 | semidirect |
| 62. #4813 | C22 | semidirect |
| 63. #4813 | C22 | semidirect |
| 64. #4812 | C22 | semidirect |
| 65. #4807 | C22 | semidirect |
| 66. #4807 | C22 | semidirect |
| 67. #4782 | C22 | semidirect |
| 68. #4782 | C22 | semidirect |
| 69. #4780 | C22 | semidirect |
| 70. #4778 | C22 | semidirect |
| 71. #4778 | C22 | semidirect |
| 72. #4775 | C22 | semidirect |
| 73. #4775 | C22 | semidirect |
| 74. #4775 | C22 | semidirect |
| 75. #4775 | C22 | semidirect |
| 76. #4775 | C22 | semidirect |
| 91. #2897 | D3 | semidirect |
| 126. #948 | D4 | semidirect |
| 251. #418 | C2×D3 | semidirect |
| 253. #417 | C2×D3 | semidirect |
| 255. #416 | C2×D3 | semidirect |
| 257. C2×#102 | C2×D3 | semidirect |
| 347. #208 | C2×D4 | semidirect |
| 348. C2×C3⋊C8 | C2×D4 | semidirect |
| 642. C2×D3 | #576 | semidirect |
| 756. C3 | #60458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87285 | 2 |
| C2×#5835 | 2 |
| C2×D3×#131 | 2 |
| #85900 | 2 |
| C3×#2897 | 2 |
| #83797 | 2 |
| #82562 | 2 |
| #78932 | 2 |
| #78930 | 2 |
| #78891 | 2 |
| #78888 | 2 |
| #78840 | 2 |
| #78838 | 2 |
| #78752 | 2 |
| C2×#4775 | 2 |
| #60458 | 3 |