Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
2626 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 | #87197 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #87192 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | C3×#3153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83998 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #83963 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #83322 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | C2×#5062 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#5061 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #81885 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #81860 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #81835 | C2 | 1 | 8 | yes | maximal, complemented |
| 12 | #78541 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #61109 | — | 3 | 1 | no | maximal, Sylow |
| 14 | #5964 | C22 | 1 | 2 | yes | complemented |
| 15 | C2×#1007 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C2×#1004 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C3×#137 | C22 | 1 | 2 | yes | complemented |
| 18 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 19 | C3×#532 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C2×C3×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #5822 | C22 | 1 | 2 | yes | — |
| 22 | #5822 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×#942 | C22 | 1 | 2 | yes | complemented |
| 24 | C2×#932 | C22 | 1 | 2 | yes | complemented |
| 25 | #5779 | — | 2 | 4 | no | — |
| 26 | #5778 | — | 2 | 4 | no | — |
| 27 | #5777 | — | 2 | 4 | no | — |
| 28 | D3×#137 | — | 2 | 4 | no | — |
| 29 | #5775 | — | 2 | 4 | no | — |
| 30 | #5774 | — | 2 | 4 | no | — |
| 31 | #5773 | — | 2 | 4 | no | — |
| 32 | D3×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 33 | #5766 | C22 | 1 | 8 | yes | complemented |
| 34 | #5762 | C22 | 1 | 8 | yes | complemented |
| 35 | #5762 | C22 | 1 | 8 | yes | complemented |
| 36 | #5757 | C22 | 1 | 8 | yes | complemented |
| 37 | #5748 | C22 | 1 | 2 | yes | — |
| 38 | #5745 | C22 | 1 | 2 | yes | complemented |
| 39 | #5745 | C22 | 1 | 2 | yes | complemented |
| 40 | C3×#497 | C22 | 1 | 2 | yes | complemented |
| 41 | C3×#496 | C22 | 1 | 2 | yes | complemented |
| 42 | C3×#495 | C22 | 1 | 4 | yes | complemented |
| 43 | C3×C4×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #5237 | C22 | 1 | 2 | yes | complemented |
| 45 | C2×#836 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | C2×#833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #5192 | C22 | 1 | 8 | yes | complemented |
| 48 | #5177 | C22 | 1 | 8 | yes | complemented |
| 49 | #5177 | C22 | 1 | 8 | yes | complemented |
| 50 | #5160 | C22 | 1 | 8 | yes | complemented |
| 51 | #5125 | C22 | 1 | 2 | yes | complemented |
| 52 | #5095 | C22 | 1 | 4 | yes | complemented |
| 53 | #5077 | C22 | 1 | 4 | yes | complemented |
| 54 | #5062 | C22 | 1 | 4 | yes | complemented |
| 55 | #5062 | C22 | 1 | 4 | yes | complemented |
| 56 | #5062 | C22 | 1 | 4 | yes | complemented |
| 57 | #5061 | C22 | 1 | 4 | yes | complemented |
| 58 | #5061 | C22 | 1 | 4 | yes | complemented |
| 59 | #5061 | C22 | 1 | 4 | yes | complemented |
| 60 | C2×#805 | C22 | 1 | 2 | yes | complemented |
| 61 | C2×#805 | C22 | 1 | 2 | yes | complemented |
| 62 | #4717 | C22 | 1 | 8 | yes | complemented |
| 63 | #4700 | C22 | 1 | 8 | yes | complemented |
| 64 | #3586 | — | 3 | 2 | no | — |
| 65 | #3585 | — | 3 | 2 | no | — |
| 66 | #3290 | — | 3 | 8 | no | — |
| 67 | #3289 | — | 3 | 4 | no | — |
| 68 | #3288 | — | 3 | 4 | no | — |
| 69 | #3153 | D3 | 1 | 1 | yes | characteristic, complemented |
| 70 | #3069 | — | 3 | 2 | no | — |
| 71 | #3068 | — | 3 | 2 | no | — |
| 72 | #3018 | — | 3 | 2 | no | — |
| 73 | C2×#454 | — | 3 | 1 | no | — |
| 74 | C2×#455 | — | 3 | 1 | no | — |
| 75 | #2956 | — | 3 | 2 | no | — |
| 76 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 77 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 79 | C22×#67 | — | 4 | 1 | no | — |
| 80 | #1010 | — | 2 | 2 | no | — |
| 81 | #1010 | — | 2 | 2 | no | — |
| 82 | #1009 | — | 2 | 2 | no | — |
| 83 | #1009 | — | 2 | 2 | no | — |
| 84 | D3×#41 | — | 2 | 4 | no | — |
| 85 | D3×#41 | — | 2 | 4 | no | — |
| 86 | #1007 | — | 2 | 4 | no | — |
| 87 | #1007 | — | 4 | 1 | no | — |
| 88 | #1007 | C23 | 1 | 4 | yes | — |
| 89 | #1007 | C23 | 1 | 4 | yes | complemented |
| 90 | C2×#239 | — | 2 | 2 | no | — |
| 91 | C2×D3×Q8 | — | 2 | 2 | no | — |
| 92 | #1004 | — | 2 | 4 | no | — |
| 93 | #1004 | — | 4 | 1 | no | — |
| 94 | #1004 | — | 4 | 2 | no | — |
| 95 | #1004 | C23 | 1 | 4 | yes | — |
| 96 | #1004 | C23 | 1 | 4 | yes | — |
| 97 | C2×#237 | — | 2 | 2 | no | — |
| 98 | C2×D3×D4 | — | 2 | 2 | no | — |
| 99 | C2×#235 | — | 4 | 2 | no | — |
| 100 | C2×#235 | — | 4 | 1 | no | — |
| 101 | C2×#235 | C23 | 1 | 2 | yes | — |
| 102 | C2×#235 | C23 | 1 | 2 | yes | — |
| 103 | C3×#137 | — | 2 | 4 | no | — |
| 104 | C3×#137 | — | 2 | 4 | no | — |
| 105 | C3×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 106 | C3×AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 107 | C2×C3×Q16 | C23 | 1 | 4 | yes | complemented |
| 108 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 109 | C2×C3×SD16 | C23 | 1 | 4 | yes | complemented |
| 110 | C2×C3×D8 | C23 | 1 | 4 | yes | — |
| 111 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 112 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic, complemented |
| 113 | C3×#127 | C23 | 1 | 1 | yes | characteristic, complemented |
| 114 | C3×#124 | — | 4 | 1 | no | — |
| 115 | C3×#124 | C23 | 1 | 2 | yes | — |
| 116 | C3×#124 | C23 | 1 | 2 | yes | — |
| 117 | C3×#124 | C23 | 1 | 2 | yes | complemented |
| 118 | C3×#121 | — | 4 | 1 | no | — |
| 119 | C3×C4×D4 | — | 4 | 1 | no | — |
| 120 | C2×C3×C22⋊C4 | — | 4 | 1 | no | — |
| 121 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 122 | #951 | — | 2 | 2 | no | — |
| 123 | #951 | — | 2 | 2 | no | — |
| 124 | #950 | — | 2 | 4 | no | — |
| 125 | #950 | — | 2 | 4 | no | — |
| 126 | #949 | — | 2 | 2 | no | — |
| 127 | #949 | — | 2 | 2 | no | — |
| 128 | C2×#216 | — | 2 | 2 | no | — |
| 129 | #942 | — | 2 | 4 | no | — |
| 130 | #942 | C23 | 1 | 8 | yes | — |
| 131 | #942 | C23 | 1 | 4 | yes | — |
| 132 | #942 | C23 | 1 | 4 | yes | complemented |
| 133 | C2×#215 | — | 2 | 2 | no | — |
| 134 | C2×#214 | — | 2 | 2 | no | — |
| 135 | #932 | — | 2 | 4 | no | — |
| 136 | #932 | C23 | 1 | 8 | yes | — |
| 137 | #932 | C23 | 1 | 4 | yes | — |
| 138 | #932 | C23 | 1 | 4 | yes | complemented |
| 139 | C2×#213 | — | 2 | 2 | no | — |
| 140 | C2×#208 | C23 | 1 | 2 | yes | — |
| 141 | C2×#208 | C23 | 1 | 2 | yes | — |
| 142 | #919 | — | 2 | 8 | no | — |
| 143 | #918 | — | 2 | 8 | no | — |
| 144 | #918 | — | 2 | 8 | no | — |
| 145 | D3×Q16 | — | 2 | 8 | no | — |
| 146 | #916 | — | 2 | 8 | no | — |
| 147 | #916 | — | 2 | 8 | no | — |
| 148 | #915 | — | 2 | 8 | no | — |
| 149 | #915 | — | 2 | 8 | no | — |
| 150 | #914 | — | 2 | 8 | no | — |
| 151 | #914 | — | 2 | 8 | no | — |
| 152 | D3×SD16 | — | 2 | 8 | no | — |
| 153 | D3×SD16 | — | 2 | 8 | no | — |
| 154 | #912 | — | 2 | 8 | no | — |
| 155 | #911 | — | 2 | 8 | no | — |
| 156 | #911 | — | 2 | 8 | no | — |
| 157 | D3×D8 | — | 2 | 8 | no | — |
| 158 | #909 | D4 | 1 | 4 | yes | complemented |
| 159 | #909 | D4 | 1 | 4 | yes | complemented |
| 160 | #908 | D4 | 1 | 4 | yes | complemented |
| 161 | #908 | D4 | 1 | 4 | yes | complemented |
| 162 | #907 | — | 2 | 4 | no | — |
| 163 | #907 | — | 2 | 4 | no | — |
| 164 | D3×M16 | — | 2 | 4 | no | — |
| 165 | D3×M16 | — | 2 | 4 | no | — |
| 166 | #904 | C23 | 1 | 8 | yes | — |
| 167 | #901 | C23 | 1 | 8 | yes | — |
| 168 | #901 | C23 | 1 | 8 | yes | complemented |
| 169 | C3×#97 | C23 | 1 | 2 | yes | complemented |
| 170 | C3×C4×C8 | C23 | 1 | 2 | yes | complemented |
| 171 | #836 | C23 | 1 | 4 | yes | complemented |
| 172 | #836 | C23 | 1 | 4 | yes | complemented |
| 173 | #833 | C23 | 1 | 4 | yes | — |
| 174 | #833 | C23 | 1 | 4 | yes | complemented |
| 175 | #819 | C23 | 1 | 8 | yes | complemented |
| 176 | #805 | C23 | 1 | 4 | yes | — |
| 177 | #805 | C23 | 1 | 4 | yes | — |
| 178 | #805 | C23 | 1 | 4 | yes | complemented |
| 179 | #805 | C23 | 1 | 4 | yes | complemented |
| 180 | #585 | — | 3 | 2 | no | — |
| 181 | C2×2−1+4 | — | 3 | 1 | no | — |
| 182 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 183 | #578 | — | 3 | 8 | no | — |
| 184 | #578 | — | 6 | 4 | no | — |
| 185 | #577 | — | 3 | 8 | no | — |
| 186 | #577 | — | 3 | 8 | no | — |
| 187 | #577 | — | 6 | 4 | no | — |
| 188 | #577 | — | 6 | 4 | no | — |
| 189 | #576 | — | 3 | 8 | no | — |
| 190 | #576 | — | 6 | 4 | no | — |
| 191 | #575 | — | 3 | 2 | no | — |
| 192 | #575 | — | 3 | 2 | no | — |
| 193 | #575 | — | 3 | 2 | no | — |
| 194 | #575 | — | 6 | 4 | no | — |
| 195 | #575 | — | 6 | 4 | no | — |
| 196 | C2×#137 | — | 3 | 2 | no | — |
| 197 | C2×#137 | — | 6 | 4 | no | — |
| 198 | C2×#137 | C2×D3 | 1 | 2 | yes | complemented |
| 199 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 200 | C2×AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 201 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 202 | #568 | — | 3 | 2 | no | — |
| 203 | #568 | — | 3 | 2 | no | — |
| 204 | #532 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 205 | C2×#124 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 206 | #497 | C2×D3 | 1 | 2 | yes | complemented |
| 207 | #496 | C2×D3 | 1 | 2 | yes | complemented |
| 208 | #495 | C2×D3 | 1 | 4 | yes | complemented |
| 209 | #473 | — | 3 | 8 | no | — |
| 210 | #472 | — | 3 | 8 | no | — |
| 211 | #471 | — | 3 | 8 | no | — |
| 212 | #471 | — | 3 | 8 | no | — |
| 213 | #456 | — | 3 | 4 | no | — |
| 214 | #455 | — | 3 | 4 | no | — |
| 215 | #455 | — | 3 | 4 | no | — |
| 216 | #455 | — | 3 | 4 | no | — |
| 217 | #454 | — | 3 | 4 | no | — |
| 218 | #454 | — | 3 | 4 | no | — |
| 219 | #454 | — | 3 | 4 | no | — |
| 220 | #453 | — | 3 | 4 | no | — |
| 221 | #444 | — | 3 | 8 | no | — |
| 222 | #443 | — | 3 | 8 | no | — |
| 223 | #430 | — | 3 | 2 | no | — |
| 224 | C2×#104 | — | 3 | 2 | no | — |
| 225 | C2×#104 | — | 3 | 2 | no | — |
| 226 | #413 | — | 3 | 2 | no | — |
| 227 | C2×#101 | — | 3 | 1 | no | — |
| 228 | C2×#100 | — | 3 | 1 | no | — |
| 229 | C4×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 230 | C24×C3 | — | 2 | 1 | no | — |
| 231 | C23×D3 | — | 4 | 1 | no | — |
| 232 | C3×#41 | — | 2 | 2 | no | — |
| 233 | C3×#41 | — | 2 | 2 | no | — |
| 234 | C3×#41 | — | 2 | 2 | no | — |
| 235 | C3×#41 | — | 2 | 2 | no | — |
| 236 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 237 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 238 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 239 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 240 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 241 | C2×C3×D4 | — | 2 | 2 | no | — |
| 242 | C2×C3×D4 | — | 2 | 2 | no | — |
| 243 | C2×C3×D4 | — | 2 | 2 | no | — |
| 244 | C2×C3×D4 | — | 2 | 1 | no | — |
| 245 | C2×C3×D4 | — | 4 | 1 | no | — |
| 246 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 247 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 248 | C22×C3×C4 | — | 2 | 1 | no | — |
| 249 | C22×C3×C4 | — | 2 | 1 | no | — |
| 250 | C22×C3×C4 | — | 2 | 2 | no | — |
| 251 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 252 | C2×#67 | — | 2 | 2 | no | — |
| 253 | C2×#67 | — | 2 | 2 | no | — |
| 254 | C2×#67 | — | 4 | 2 | no | — |
| 255 | C2×#67 | — | 4 | 4 | no | — |
| 256 | C2×#67 | — | 4 | 4 | no | — |
| 257 | C2×#67 | — | 4 | 4 | no | — |
| 258 | C22×Dic3 | — | 4 | 1 | no | — |
| 259 | #239 | — | 2 | 4 | no | — |
| 260 | #239 | — | 2 | 8 | no | — |
| 261 | #239 | — | 2 | 4 | no | — |
| 262 | #239 | — | 4 | 4 | no | — |
| 263 | D3×Q8 | — | 2 | 4 | no | — |
| 264 | D3×Q8 | — | 2 | 8 | no | — |
| 265 | D3×Q8 | — | 2 | 4 | no | — |
| 266 | D3×Q8 | — | 4 | 4 | no | — |
| 267 | #237 | — | 2 | 4 | no | — |
| 268 | #237 | — | 2 | 8 | no | — |
| 269 | #237 | — | 2 | 4 | no | — |
| 270 | #237 | — | 4 | 4 | no | — |
| 271 | #237 | — | 4 | 4 | no | — |
| 272 | #237 | — | 4 | 4 | no | — |
| 273 | D3×D4 | — | 2 | 4 | no | — |
| 274 | D3×D4 | — | 2 | 8 | no | — |
| 275 | D3×D4 | — | 2 | 4 | no | — |
| 276 | D3×D4 | — | 4 | 4 | no | — |
| 277 | D3×D4 | — | 4 | 4 | no | — |
| 278 | D3×D4 | — | 4 | 4 | no | — |
| 279 | #235 | — | 2 | 2 | no | — |
| 280 | #235 | — | 2 | 2 | no | — |
| 281 | #235 | — | 2 | 2 | no | — |
| 282 | #235 | — | 2 | 2 | no | — |
| 283 | #235 | — | 4 | 2 | no | — |
| 284 | #235 | — | 4 | 2 | no | — |
| 285 | #235 | — | 4 | 4 | no | — |
| 286 | #235 | — | 4 | 4 | no | — |
| 287 | #235 | — | 4 | 4 | no | — |
| 288 | #235 | — | 4 | 4 | no | — |
| 289 | #235 | C2×D4 | 1 | 4 | yes | — |
| 290 | #235 | C2×D4 | 1 | 4 | yes | — |
| 291 | #235 | C24 | 1 | 4 | yes | — |
| 292 | #235 | C24 | 1 | 4 | yes | — |
| 293 | C2×D12 | — | 4 | 2 | no | — |
| 294 | C2×D12 | — | 4 | 1 | no | — |
| 295 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 296 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 297 | C2×C4×D3 | — | 2 | 2 | no | — |
| 298 | C2×C4×D3 | — | 2 | 2 | no | — |
| 299 | C2×C4×D3 | — | 4 | 4 | no | — |
| 300 | C2×C4×D3 | — | 4 | 2 | no | — |
| 301 | C2×Dic6 | — | 4 | 2 | no | — |
| 302 | C2×Dic6 | — | 4 | 1 | no | — |
| 303 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 304 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 305 | C3×Q16 | — | 2 | 8 | no | — |
| 306 | C3×SD16 | — | 2 | 8 | no | — |
| 307 | C3×SD16 | — | 2 | 8 | no | — |
| 308 | C3×D8 | — | 2 | 8 | no | — |
| 309 | C3×M16 | C2×D4 | 1 | 4 | yes | — |
| 310 | C3×M16 | C2×D4 | 1 | 4 | yes | — |
| 311 | C2×C3×C8 | C24 | 1 | 4 | yes | — |
| 312 | C3×C4⋊C4 | — | 4 | 1 | no | — |
| 313 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 314 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 315 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 316 | C3×C42 | — | 2 | 1 | no | — |
| 317 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 318 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 319 | #216 | — | 2 | 4 | no | — |
| 320 | #216 | — | 2 | 8 | no | — |
| 321 | #216 | — | 2 | 4 | no | — |
| 322 | #215 | — | 2 | 4 | no | — |
| 323 | #215 | — | 2 | 8 | no | — |
| 324 | #215 | — | 2 | 4 | no | — |
| 325 | #214 | — | 2 | 4 | no | — |
| 326 | #214 | — | 2 | 8 | no | — |
| 327 | #214 | — | 2 | 4 | no | — |
| 328 | #213 | — | 2 | 4 | no | — |
| 329 | #213 | — | 2 | 8 | no | — |
| 330 | #213 | — | 2 | 4 | no | — |
| 331 | #208 | — | 2 | 2 | no | — |
| 332 | #208 | — | 2 | 2 | no | — |
| 333 | #208 | C24 | 1 | 4 | yes | — |
| 334 | #208 | C24 | 1 | 4 | yes | — |
| 335 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 336 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 337 | Dic12 | C2×D4 | 1 | 8 | yes | — |
| 338 | D24 | C2×D4 | 1 | 8 | yes | — |
| 339 | #204 | C2×D4 | 1 | 8 | yes | — |
| 340 | #204 | C2×D4 | 1 | 8 | yes | — |
| 341 | ΓL(1,𝔽25) | — | 2 | 8 | no | — |
| 342 | ΓL(1,𝔽25) | — | 2 | 8 | no | — |
| 343 | D3×C8 | — | 2 | 8 | no | — |
| 344 | D3×C8 | — | 2 | 8 | no | — |
| 345 | 2−1+4 | — | 3 | 4 | no | — |
| 346 | 2−1+4 | — | 3 | 4 | no | — |
| 347 | 2−1+4 | — | 6 | 4 | no | — |
| 348 | 2−1+4 | — | 6 | 2 | no | — |
| 349 | 2−1+4 | — | 6 | 2 | no | — |
| 350 | 2−1+4 | — | 12 | 1 | no | — |
| 351 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 352 | H(5,𝔽2) | — | 3 | 4 | no | — |
| 353 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 354 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 355 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 356 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 357 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 358 | C2×#41 | — | 3 | 2 | no | — |
| 359 | C2×#41 | — | 3 | 2 | no | — |
| 360 | C2×#41 | — | 6 | 2 | no | — |
| 361 | C2×#41 | — | 6 | 2 | no | — |
| 362 | C2×#41 | — | 6 | 4 | no | — |
| 363 | C2×#41 | — | 6 | 4 | no | — |
| 364 | C2×#41 | — | 12 | 1 | no | — |
| 365 | C2×#41 | — | 12 | 2 | no | — |
| 366 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 367 | C22×Q8 | — | 6 | 2 | no | — |
| 368 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 369 | C22×D4 | — | 6 | 2 | no | — |
| 370 | C22×D4 | — | 12 | 1 | no | — |
| 371 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 372 | #137 | — | 2 | 4 | no | — |
| 373 | #137 | — | 2 | 4 | no | — |
| 374 | #137 | — | 3 | 8 | no | — |
| 375 | #137 | — | 3 | 4 | no | — |
| 376 | #137 | — | 3 | 4 | no | — |
| 377 | #137 | — | 3 | 4 | no | — |
| 378 | #137 | — | 3 | 4 | no | — |
| 379 | #137 | — | 6 | 8 | no | — |
| 380 | #137 | — | 6 | 8 | no | — |
| 381 | #137 | — | 6 | 8 | no | — |
| 382 | #137 | — | 6 | 8 | no | — |
| 383 | #137 | — | 6 | 4 | no | — |
| 384 | #137 | — | 6 | 2 | no | — |
| 385 | #137 | — | 6 | 2 | no | — |
| 386 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 387 | AGL(1,ℤ/8) | — | 2 | 4 | no | — |
| 388 | AGL(1,ℤ/8) | — | 3 | 8 | no | — |
| 389 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 390 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 391 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 392 | AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 393 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 394 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 395 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 396 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 397 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 398 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 399 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 400 | #135 | — | 3 | 8 | no | — |
| 401 | #135 | — | 6 | 8 | no | — |
| 402 | #135 | — | 6 | 8 | no | — |
| 403 | #135 | — | 6 | 8 | no | — |
| 404 | #135 | — | 6 | 8 | no | — |
| 405 | #135 | — | 6 | 4 | no | — |
| 406 | #135 | — | 6 | 4 | no | — |
| 407 | C2×Q16 | — | 6 | 8 | no | — |
| 408 | C2×Q16 | — | 6 | 2 | no | — |
| 409 | C2×Q16 | C22×D3 | 1 | 4 | yes | complemented |
| 410 | C2×SD16 | — | 6 | 8 | no | — |
| 411 | C2×SD16 | — | 6 | 8 | no | — |
| 412 | C2×SD16 | — | 6 | 2 | no | — |
| 413 | C2×SD16 | — | 6 | 2 | no | — |
| 414 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 415 | C2×SD16 | C22×D3 | 1 | 4 | yes | complemented |
| 416 | C2×D8 | — | 6 | 8 | no | — |
| 417 | C2×D8 | — | 6 | 2 | no | — |
| 418 | C2×D8 | C22×D3 | 1 | 4 | yes | — |
| 419 | #131 | — | 3 | 8 | no | — |
| 420 | #131 | — | 3 | 8 | no | — |
| 421 | #131 | — | 6 | 4 | no | — |
| 422 | #131 | — | 6 | 4 | no | — |
| 423 | C2×M16 | — | 3 | 2 | no | — |
| 424 | C2×M16 | — | 3 | 2 | no | — |
| 425 | C2×M16 | — | 6 | 4 | no | — |
| 426 | C2×M16 | — | 6 | 4 | no | — |
| 427 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 428 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 429 | #127 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 430 | #124 | — | 4 | 1 | no | — |
| 431 | #124 | C22×D3 | 1 | 2 | yes | — |
| 432 | #124 | C22×D3 | 1 | 2 | yes | — |
| 433 | #124 | C22×D3 | 1 | 2 | yes | complemented |
| 434 | #121 | — | 4 | 1 | no | — |
| 435 | C4×D4 | — | 4 | 1 | no | — |
| 436 | C2×C22⋊C4 | — | 4 | 1 | no | — |
| 437 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 438 | #108 | — | 3 | 8 | no | — |
| 439 | #104 | — | 3 | 4 | no | — |
| 440 | #104 | — | 3 | 4 | no | — |
| 441 | #104 | — | 3 | 4 | no | — |
| 442 | #104 | — | 3 | 4 | no | — |
| 443 | #101 | — | 3 | 4 | no | — |
| 444 | #101 | — | 3 | 4 | no | — |
| 445 | #100 | — | 3 | 4 | no | — |
| 446 | #100 | — | 3 | 4 | no | — |
| 447 | #97 | C22×D3 | 1 | 2 | yes | complemented |
| 448 | C4×C8 | C22×D3 | 1 | 2 | yes | complemented |
| 449 | C23×C3 | — | 2 | 2 | no | — |
| 450 | C23×C3 | — | 2 | 2 | no | — |
| 451 | C23×C3 | — | 4 | 1 | no | — |
| 452 | C23×C3 | — | 4 | 1 | no | — |
| 453 | C23×C3 | — | 8 | 2 | no | — |
| 454 | C23×C3 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 455 | C22×D3 | — | 2 | 2 | no | — |
| 456 | C22×D3 | — | 2 | 2 | no | — |
| 457 | C22×D3 | — | 4 | 4 | no | — |
| 458 | C22×D3 | — | 4 | 4 | no | — |
| 459 | C22×D3 | — | 16 | 2 | no | — |
| 460 | C3×Q8 | — | 2 | 2 | no | — |
| 461 | C3×Q8 | — | 2 | 4 | no | — |
| 462 | C3×Q8 | — | 2 | 2 | no | — |
| 463 | C3×Q8 | — | 4 | 2 | no | — |
| 464 | C3×D4 | — | 2 | 2 | no | — |
| 465 | C3×D4 | — | 2 | 4 | no | — |
| 466 | C3×D4 | — | 2 | 2 | no | — |
| 467 | C3×D4 | — | 4 | 2 | no | — |
| 468 | C3×D4 | — | 4 | 2 | no | — |
| 469 | C3×D4 | — | 4 | 2 | no | — |
| 470 | C3×D4 | — | 8 | 2 | no | — |
| 471 | C2×C3×C4 | — | 2 | 1 | no | — |
| 472 | C2×C3×C4 | — | 2 | 1 | no | — |
| 473 | C2×C3×C4 | — | 2 | 2 | no | — |
| 474 | C2×C3×C4 | — | 2 | 2 | no | — |
| 475 | C2×C3×C4 | — | 4 | 1 | no | — |
| 476 | C2×C3×C4 | — | 4 | 1 | no | — |
| 477 | C2×C3×C4 | — | 4 | 2 | no | — |
| 478 | C2×C3×C4 | — | 4 | 2 | no | — |
| 479 | C2×C3×C4 | — | 8 | 1 | no | — |
| 480 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 481 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 482 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 483 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 484 | #67 | — | 2 | 4 | no | — |
| 485 | #67 | — | 2 | 4 | no | — |
| 486 | #67 | — | 2 | 4 | no | — |
| 487 | #67 | — | 2 | 4 | no | — |
| 488 | #67 | — | 4 | 4 | no | — |
| 489 | #67 | — | 4 | 4 | no | — |
| 490 | #67 | — | 4 | 8 | no | — |
| 491 | C2×Dic3 | — | 2 | 2 | no | — |
| 492 | C2×Dic3 | — | 2 | 2 | no | — |
| 493 | C2×Dic3 | — | 4 | 4 | no | — |
| 494 | C2×Dic3 | — | 4 | 4 | no | — |
| 495 | D12 | — | 2 | 2 | no | — |
| 496 | D12 | — | 2 | 2 | no | — |
| 497 | D12 | — | 4 | 4 | no | — |
| 498 | D12 | — | 4 | 4 | no | — |
| 499 | D12 | C22×D4 | 1 | 4 | yes | — |
| 500 | D12 | C22×D4 | 1 | 4 | yes | — |
| 501 | C4×D3 | — | 2 | 4 | no | — |
| 502 | C4×D3 | — | 2 | 4 | no | — |
| 503 | C4×D3 | — | 2 | 4 | no | — |
| 504 | C4×D3 | — | 2 | 4 | no | — |
| 505 | C4×D3 | — | 4 | 4 | no | — |
| 506 | C4×D3 | — | 4 | 4 | no | — |
| 507 | C4×D3 | — | 4 | 8 | no | — |
| 508 | Dic6 | — | 2 | 2 | no | — |
| 509 | Dic6 | — | 2 | 2 | no | — |
| 510 | Dic6 | — | 4 | 4 | no | — |
| 511 | Dic6 | — | 4 | 4 | no | — |
| 512 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 513 | Dic6 | C22×D4 | 1 | 4 | yes | — |
| 514 | C3×C8 | C22×D4 | 1 | 8 | yes | — |
| 515 | C3⋊C8 | — | 2 | 4 | no | — |
| 516 | C3⋊C8 | — | 2 | 4 | no | — |
| 517 | C24 | — | 2 | 1 | no | — |
| 518 | C24 | — | 12 | 1 | no | — |
| 519 | #41 | — | 2 | 2 | no | — |
| 520 | #41 | — | 2 | 2 | no | — |
| 521 | #41 | — | 2 | 2 | no | — |
| 522 | #41 | — | 2 | 2 | no | — |
| 523 | #41 | — | 3 | 4 | no | — |
| 524 | #41 | — | 3 | 4 | no | — |
| 525 | #41 | — | 3 | 4 | no | — |
| 526 | #41 | — | 3 | 4 | no | — |
| 527 | #41 | — | 6 | 2 | no | — |
| 528 | #41 | — | 6 | 2 | no | — |
| 529 | #41 | — | 6 | 2 | no | — |
| 530 | #41 | — | 6 | 2 | no | — |
| 531 | #41 | — | 6 | 4 | no | — |
| 532 | #41 | — | 6 | 8 | no | — |
| 533 | #41 | — | 6 | 4 | no | — |
| 534 | #41 | — | 6 | 4 | no | — |
| 535 | #41 | — | 6 | 8 | no | — |
| 536 | #41 | — | 6 | 4 | no | — |
| 537 | #41 | — | 12 | 4 | no | — |
| 538 | #41 | — | 12 | 4 | no | — |
| 539 | #41 | — | 12 | 4 | no | — |
| 540 | #41 | — | 12 | 4 | no | — |
| 541 | #41 | — | 12 | 2 | no | — |
| 542 | #41 | — | 12 | 2 | no | — |
| 543 | #41 | — | 12 | 4 | no | — |
| 544 | #41 | — | 12 | 4 | no | — |
| 545 | #41 | — | 12 | 4 | no | — |
| 546 | #41 | — | 12 | 4 | no | — |
| 547 | C2×Q8 | — | 2 | 1 | no | — |
| 548 | C2×Q8 | — | 2 | 2 | no | — |
| 549 | C2×Q8 | — | 2 | 2 | no | — |
| 550 | C2×Q8 | — | 3 | 2 | no | — |
| 551 | C2×Q8 | — | 3 | 2 | no | — |
| 552 | C2×Q8 | — | 6 | 4 | no | — |
| 553 | C2×Q8 | — | 6 | 8 | no | — |
| 554 | C2×Q8 | — | 6 | 4 | no | — |
| 555 | C2×Q8 | — | 12 | 1 | no | — |
| 556 | C2×Q8 | — | 12 | 2 | no | — |
| 557 | C2×Q8 | — | 12 | 4 | no | — |
| 558 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 559 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 560 | C2×D4 | — | 2 | 2 | no | — |
| 561 | C2×D4 | — | 2 | 2 | no | — |
| 562 | C2×D4 | — | 2 | 2 | no | — |
| 563 | C2×D4 | — | 2 | 1 | no | — |
| 564 | C2×D4 | — | 3 | 2 | no | — |
| 565 | C2×D4 | — | 3 | 2 | no | — |
| 566 | C2×D4 | — | 4 | 1 | no | — |
| 567 | C2×D4 | — | 6 | 4 | no | — |
| 568 | C2×D4 | — | 6 | 8 | no | — |
| 569 | C2×D4 | — | 6 | 4 | no | — |
| 570 | C2×D4 | — | 6 | 2 | no | — |
| 571 | C2×D4 | — | 6 | 2 | no | — |
| 572 | C2×D4 | — | 12 | 2 | no | — |
| 573 | C2×D4 | — | 12 | 1 | no | — |
| 574 | C2×D4 | — | 12 | 4 | no | — |
| 575 | C2×D4 | — | 12 | 2 | no | — |
| 576 | C2×D4 | — | 12 | 4 | no | — |
| 577 | C2×D4 | — | 12 | 4 | no | — |
| 578 | C2×D4 | — | 12 | 4 | no | — |
| 579 | C2×D4 | — | 12 | 4 | no | — |
| 580 | C2×D4 | — | 12 | 4 | no | — |
| 581 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 582 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 583 | C22×C4 | — | 2 | 1 | no | — |
| 584 | C22×C4 | — | 2 | 1 | no | — |
| 585 | C22×C4 | — | 2 | 2 | no | — |
| 586 | C22×C4 | — | 6 | 2 | no | — |
| 587 | C22×C4 | — | 6 | 2 | no | — |
| 588 | C22×C4 | — | 12 | 4 | no | — |
| 589 | C22×C4 | — | 12 | 2 | no | — |
| 590 | C22×C4 | — | 12 | 1 | no | — |
| 591 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 592 | Q16 | — | 2 | 8 | no | — |
| 593 | Q16 | — | 3 | 8 | no | — |
| 594 | Q16 | — | 6 | 8 | no | — |
| 595 | Q16 | — | 6 | 4 | no | — |
| 596 | Q16 | — | 6 | 4 | no | — |
| 597 | SD16 | — | 2 | 8 | no | — |
| 598 | SD16 | — | 2 | 8 | no | — |
| 599 | SD16 | — | 3 | 8 | no | — |
| 600 | SD16 | — | 3 | 8 | no | — |
| 601 | SD16 | — | 6 | 8 | no | — |
| 602 | SD16 | — | 6 | 4 | no | — |
| 603 | SD16 | — | 6 | 4 | no | — |
| 604 | SD16 | — | 6 | 4 | no | — |
| 605 | SD16 | — | 6 | 8 | no | — |
| 606 | SD16 | — | 6 | 4 | no | — |
| 607 | D8 | — | 2 | 8 | no | — |
| 608 | D8 | — | 3 | 8 | no | — |
| 609 | D8 | — | 6 | 4 | no | — |
| 610 | D8 | — | 6 | 8 | no | — |
| 611 | D8 | — | 6 | 4 | no | — |
| 612 | M16 | — | 3 | 4 | no | — |
| 613 | M16 | — | 3 | 4 | no | — |
| 614 | M16 | — | 6 | 2 | no | — |
| 615 | M16 | — | 6 | 2 | no | — |
| 616 | M16 | — | 6 | 8 | no | — |
| 617 | M16 | — | 6 | 8 | no | — |
| 618 | M16 | D3×D4 | 1 | 4 | yes | — |
| 619 | M16 | D3×D4 | 1 | 4 | yes | — |
| 620 | C2×C8 | — | 6 | 2 | no | — |
| 621 | C2×C8 | — | 6 | 2 | no | — |
| 622 | C2×C8 | — | 6 | 8 | no | — |
| 623 | C2×C8 | — | 6 | 8 | no | — |
| 624 | C2×C8 | C23×D3 | 1 | 4 | yes | — |
| 625 | C4⋊C4 | — | 4 | 1 | no | — |
| 626 | C22⋊C4 | — | 4 | 2 | no | — |
| 627 | C22⋊C4 | — | 4 | 2 | no | — |
| 628 | C22⋊C4 | — | 4 | 2 | no | — |
| 629 | C42 | — | 2 | 1 | no | — |
| 630 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 631 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 632 | C22×C3 | — | 4 | 1 | no | — |
| 633 | C22×C3 | — | 4 | 2 | no | — |
| 634 | C22×C3 | — | 4 | 2 | no | — |
| 635 | C22×C3 | — | 8 | 2 | no | — |
| 636 | C22×C3 | — | 8 | 2 | no | — |
| 637 | C22×C3 | — | 8 | 2 | no | — |
| 638 | C22×C3 | — | 16 | 1 | no | — |
| 639 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 640 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 641 | C22×C3 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 642 | C2×D3 | — | 2 | 4 | no | — |
| 643 | C2×D3 | — | 2 | 4 | no | — |
| 644 | C2×D3 | — | 8 | 2 | no | — |
| 645 | C2×D3 | — | 8 | 2 | no | — |
| 646 | C2×D3 | — | 16 | 4 | no | — |
| 647 | C2×D3 | — | 16 | 4 | no | — |
| 648 | C3×C4 | — | 4 | 1 | no | — |
| 649 | C3×C4 | — | 4 | 1 | no | — |
| 650 | C3×C4 | — | 4 | 2 | no | — |
| 651 | C3×C4 | — | 4 | 2 | no | — |
| 652 | C3×C4 | D42 | 1 | 2 | yes | — |
| 653 | C3×C4 | C23×D4 | 1 | 2 | yes | — |
| 654 | Dic3 | — | 2 | 4 | no | — |
| 655 | Dic3 | — | 2 | 4 | no | — |
| 656 | C23 | — | 2 | 2 | no | — |
| 657 | C23 | — | 2 | 2 | no | — |
| 658 | C23 | — | 4 | 1 | no | — |
| 659 | C23 | — | 4 | 1 | no | — |
| 660 | C23 | — | 6 | 2 | no | — |
| 661 | C23 | — | 6 | 2 | no | — |
| 662 | C23 | — | 8 | 2 | no | — |
| 663 | C23 | — | 12 | 4 | no | — |
| 664 | C23 | — | 12 | 4 | no | — |
| 665 | C23 | — | 48 | 2 | no | — |
| 666 | C23 | #1004 | 1 | 1 | yes | characteristic |
| 667 | Q8 | — | 2 | 2 | no | — |
| 668 | Q8 | — | 2 | 4 | no | — |
| 669 | Q8 | — | 2 | 2 | no | — |
| 670 | Q8 | — | 3 | 4 | no | — |
| 671 | Q8 | — | 3 | 4 | no | — |
| 672 | Q8 | — | 4 | 2 | no | — |
| 673 | Q8 | — | 6 | 2 | no | — |
| 674 | Q8 | — | 6 | 2 | no | — |
| 675 | Q8 | — | 12 | 4 | no | — |
| 676 | Q8 | — | 12 | 4 | no | — |
| 677 | D4 | — | 2 | 2 | no | — |
| 678 | D4 | — | 2 | 4 | no | — |
| 679 | D4 | — | 2 | 2 | no | — |
| 680 | D4 | — | 3 | 4 | no | — |
| 681 | D4 | — | 3 | 4 | no | — |
| 682 | D4 | — | 4 | 2 | no | — |
| 683 | D4 | — | 4 | 2 | no | — |
| 684 | D4 | — | 4 | 2 | no | — |
| 685 | D4 | — | 6 | 4 | no | — |
| 686 | D4 | — | 6 | 4 | no | — |
| 687 | D4 | — | 6 | 4 | no | — |
| 688 | D4 | — | 6 | 4 | no | — |
| 689 | D4 | — | 6 | 2 | no | — |
| 690 | D4 | — | 6 | 2 | no | — |
| 691 | D4 | — | 8 | 2 | no | — |
| 692 | D4 | — | 12 | 4 | no | — |
| 693 | D4 | — | 12 | 4 | no | — |
| 694 | D4 | — | 12 | 8 | no | — |
| 695 | D4 | — | 12 | 4 | no | — |
| 696 | D4 | — | 12 | 4 | no | — |
| 697 | C2×C4 | — | 2 | 1 | no | — |
| 698 | C2×C4 | — | 2 | 1 | no | — |
| 699 | C2×C4 | — | 2 | 2 | no | — |
| 700 | C2×C4 | — | 2 | 2 | no | — |
| 701 | C2×C4 | — | 4 | 1 | no | — |
| 702 | C2×C4 | — | 4 | 1 | no | — |
| 703 | C2×C4 | — | 4 | 2 | no | — |
| 704 | C2×C4 | — | 4 | 2 | no | — |
| 705 | C2×C4 | — | 6 | 2 | no | — |
| 706 | C2×C4 | — | 6 | 2 | no | — |
| 707 | C2×C4 | — | 6 | 4 | no | — |
| 708 | C2×C4 | — | 6 | 4 | no | — |
| 709 | C2×C4 | — | 6 | 4 | no | — |
| 710 | C2×C4 | — | 6 | 4 | no | — |
| 711 | C2×C4 | — | 8 | 1 | no | — |
| 712 | C2×C4 | — | 12 | 4 | no | — |
| 713 | C2×C4 | — | 12 | 4 | no | — |
| 714 | C2×C4 | — | 12 | 8 | no | — |
| 715 | C2×C4 | — | 12 | 4 | no | — |
| 716 | C2×C4 | — | 12 | 4 | no | — |
| 717 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 718 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 719 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 720 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 721 | C8 | — | 6 | 4 | no | — |
| 722 | C8 | — | 6 | 4 | no | — |
| 723 | C8 | C2×D3×D4 | 1 | 8 | yes | — |
| 724 | C2×C3 | — | 2 | 1 | no | — |
| 725 | C2×C3 | — | 2 | 1 | no | — |
| 726 | C2×C3 | — | 2 | 1 | no | — |
| 727 | C2×C3 | — | 8 | 2 | no | — |
| 728 | C2×C3 | — | 8 | 2 | no | — |
| 729 | C2×C3 | C2×D42 | 1 | 1 | yes | characteristic |
| 730 | D3 | — | 4 | 4 | no | — |
| 731 | D3 | — | 4 | 4 | no | — |
| 732 | C22 | — | 4 | 1 | no | — |
| 733 | C22 | — | 4 | 2 | no | — |
| 734 | C22 | — | 4 | 2 | no | — |
| 735 | C22 | — | 6 | 4 | no | — |
| 736 | C22 | — | 6 | 4 | no | — |
| 737 | C22 | — | 8 | 2 | no | — |
| 738 | C22 | — | 8 | 2 | no | — |
| 739 | C22 | — | 8 | 2 | no | — |
| 740 | C22 | — | 16 | 1 | no | — |
| 741 | C22 | — | 24 | 2 | no | — |
| 742 | C22 | — | 24 | 2 | no | — |
| 743 | C22 | — | 48 | 4 | no | — |
| 744 | C22 | — | 48 | 4 | no | — |
| 745 | C22 | #5717 | 1 | 1 | yes | characteristic |
| 746 | C22 | #5717 | 1 | 1 | yes | characteristic |
| 747 | C22 | C2×#1004 | 1 | 1 | yes | characteristic |
| 748 | C4 | — | 4 | 1 | no | — |
| 749 | C4 | — | 4 | 1 | no | — |
| 750 | C4 | — | 4 | 2 | no | — |
| 751 | C4 | — | 4 | 2 | no | — |
| 752 | C4 | — | 6 | 4 | no | — |
| 753 | C4 | — | 6 | 4 | no | — |
| 754 | C4 | #5717 | 1 | 2 | yes | — |
| 755 | C4 | C22×D3×D4 | 1 | 2 | yes | — |
| 756 | C3 | #61109 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 757 | C2 | — | 2 | 1 | no | — |
| 758 | C2 | — | 2 | 1 | no | — |
| 759 | C2 | — | 2 | 1 | no | — |
| 760 | C2 | — | 8 | 2 | no | — |
| 761 | C2 | — | 8 | 2 | no | — |
| 762 | C2 | — | 12 | 4 | no | — |
| 763 | C2 | — | 12 | 4 | no | — |
| 764 | C2 | C2×#5717 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #87197 | C2 | semidirect |
| 2. #87192 | C2 | semidirect |
| 3. C3×#3153 | C2 | semidirect |
| 4. #83998 | C2 | semidirect |
| 5. #83963 | C2 | semidirect |
| 6. #83322 | C2 | semidirect |
| 7. C2×#5062 | C2 | semidirect |
| 8. C2×#5061 | C2 | semidirect |
| 9. #81885 | C2 | semidirect |
| 10. #81860 | C2 | semidirect |
| 11. #81835 | C2 | semidirect |
| 12. #78541 | C2 | semidirect |
| 14. #5964 | C22 | semidirect |
| 15. C2×#1007 | C22 | semidirect |
| 17. C2×C3×#137 | C22 | semidirect |
| 18. C2×C3×AGL(1,ℤ/8) | C22 | semidirect |
| 19. C3×#532 | C22 | semidirect |
| 20. C2×C3×#124 | C22 | semidirect |
| 22. #5822 | C22 | semidirect |
| 23. C2×#942 | C22 | semidirect |
| 24. C2×#932 | C22 | semidirect |
| 33. #5766 | C22 | semidirect |
| 34. #5762 | C22 | semidirect |
| 35. #5762 | C22 | semidirect |
| 36. #5757 | C22 | semidirect |
| 38. #5745 | C22 | semidirect |
| 39. #5745 | C22 | semidirect |
| 40. C3×#497 | C22 | semidirect |
| 41. C3×#496 | C22 | semidirect |
| 42. C3×#495 | C22 | semidirect |
| 43. C3×C4×M16 | C22 | semidirect |
| 44. #5237 | C22 | semidirect |
| 45. C2×#836 | C22 | semidirect |
| 46. C2×#833 | C22 | semidirect |
| 47. #5192 | C22 | semidirect |
| 48. #5177 | C22 | semidirect |
| 49. #5177 | C22 | semidirect |
| 50. #5160 | C22 | semidirect |
| 51. #5125 | C22 | semidirect |
| 52. #5095 | C22 | semidirect |
| 53. #5077 | C22 | semidirect |
| 54. #5062 | C22 | semidirect |
| 55. #5062 | C22 | semidirect |
| 56. #5062 | C22 | semidirect |
| 57. #5061 | C22 | semidirect |
| 58. #5061 | C22 | semidirect |
| 59. #5061 | C22 | semidirect |
| 60. C2×#805 | C22 | semidirect |
| 61. C2×#805 | C22 | semidirect |
| 62. #4717 | C22 | semidirect |
| 63. #4700 | C22 | semidirect |
| 69. #3153 | D3 | semidirect |
| 89. #1007 | C23 | semidirect |
| 107. C2×C3×Q16 | C23 | semidirect |
| 109. C2×C3×SD16 | C23 | semidirect |
| 112. C3×C4⋊Q8 | C23 | semidirect |
| 113. C3×#127 | C23 | semidirect |
| 117. C3×#124 | C23 | semidirect |
| 132. #942 | C23 | semidirect |
| 138. #932 | C23 | semidirect |
| 158. #909 | D4 | semidirect |
| 159. #909 | D4 | semidirect |
| 160. #908 | D4 | semidirect |
| 161. #908 | D4 | semidirect |
| 168. #901 | C23 | semidirect |
| 169. C3×#97 | C23 | semidirect |
| 170. C3×C4×C8 | C23 | semidirect |
| 171. #836 | C23 | semidirect |
| 172. #836 | C23 | semidirect |
| 174. #833 | C23 | semidirect |
| 175. #819 | C23 | semidirect |
| 178. #805 | C23 | semidirect |
| 179. #805 | C23 | semidirect |
| 198. C2×#137 | C2×D3 | semidirect |
| 201. C2×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 204. #532 | C2×D3 | semidirect |
| 205. C2×#124 | C2×D3 | semidirect |
| 206. #497 | C2×D3 | semidirect |
| 207. #496 | C2×D3 | semidirect |
| 208. #495 | C2×D3 | semidirect |
| 229. C4×M16 | C2×D3 | semidirect |
| 409. C2×Q16 | C22×D3 | semidirect |
| 415. C2×SD16 | C22×D3 | semidirect |
| 428. C4⋊Q8 | C22×D3 | semidirect |
| 429. #127 | C22×D3 | semidirect |
| 433. #124 | C22×D3 | semidirect |
| 447. #97 | C22×D3 | semidirect |
| 448. C4×C8 | C22×D3 | semidirect |
| 756. C3 | #61109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87197 | 2 |
| #87192 | 2 |
| C3×#3153 | 2 |
| #83998 | 2 |
| #83963 | 2 |
| #83322 | 2 |
| C2×#5062 | 2 |
| C2×#5061 | 2 |
| #81885 | 2 |
| #81860 | 2 |
| #81835 | 2 |
| #78541 | 2 |
| #61109 | 3 |