Finite Group DatabasebetaFinite Group DatabasebetaOrder 1536.
1674 conjugacy classes of subgroups.
The subgroup lattice has 868 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #11665122 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #10948636 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #10801981 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #10714584 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #10714449 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #10714302 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #10714113 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #10713916 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #10710470 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #10710244 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | C3×#13459 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #499261 | — | 3 | 1 | no | maximal, Sylow |
| 13 | #86257 | — | 2 | 1 | no | — |
| 14 | C3×#3162 | C22 | 1 | 1 | yes | characteristic |
| 15 | #83335 | — | 2 | 1 | no | — |
| 16 | #82009 | C22 | 1 | 2 | yes | — |
| 17 | #81963 | — | 2 | 4 | no | — |
| 18 | #81962 | — | 2 | 4 | no | — |
| 19 | C2×#4894 | C22 | 1 | 1 | yes | characteristic |
| 20 | #79180 | — | 2 | 1 | no | — |
| 21 | #79180 | C22 | 1 | 1 | yes | characteristic |
| 22 | #79180 | C22 | 1 | 2 | yes | — |
| 23 | #79166 | — | 2 | 1 | no | — |
| 24 | #79166 | C22 | 1 | 2 | yes | — |
| 25 | #79073 | — | 2 | 1 | no | — |
| 26 | #78499 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×D3×#97 | C22 | 1 | 1 | yes | characteristic |
| 28 | C3×#2155 | C22 | 1 | 2 | yes | — |
| 29 | C3×#1946 | C22 | 1 | 1 | yes | characteristic |
| 30 | #71448 | C22 | 1 | 2 | yes | — |
| 31 | #71431 | C22 | 1 | 2 | yes | — |
| 32 | C2×#4512 | C22 | 1 | 2 | yes | — |
| 33 | #70711 | C22 | 1 | 1 | yes | characteristic |
| 34 | #70687 | C22 | 1 | 2 | yes | — |
| 35 | #70660 | C22 | 1 | 1 | yes | characteristic |
| 36 | #70656 | C22 | 1 | 2 | yes | — |
| 37 | #70656 | C22 | 1 | 2 | yes | — |
| 38 | #70536 | — | 2 | 1 | no | — |
| 39 | #69845 | C22 | 1 | 1 | yes | characteristic |
| 40 | #69310 | — | 2 | 4 | no | — |
| 41 | #69309 | — | 2 | 4 | no | — |
| 42 | #68756 | — | 2 | 1 | no | — |
| 43 | #68740 | — | 2 | 1 | no | — |
| 44 | C3×#1384 | C22 | 1 | 2 | yes | — |
| 45 | C3×#1375 | C22 | 1 | 1 | yes | characteristic |
| 46 | #67727 | C22 | 1 | 2 | yes | — |
| 47 | #67663 | C22 | 1 | 1 | yes | characteristic |
| 48 | #60688 | — | 3 | 1 | no | — |
| 49 | #33468 | — | 3 | 2 | no | — |
| 50 | #21546 | — | 3 | 1 | no | — |
| 51 | #13459 | D3 | 1 | 1 | yes | characteristic, complemented |
| 52 | #13416 | — | 3 | 1 | no | — |
| 53 | #13395 | — | 3 | 2 | no | — |
| 54 | #13373 | — | 3 | 1 | no | — |
| 55 | #13340 | — | 3 | 1 | no | — |
| 56 | #13309 | — | 3 | 2 | no | — |
| 57 | #12649 | — | 3 | 2 | no | — |
| 58 | #12605 | — | 3 | 1 | no | — |
| 59 | C3×#533 | — | 2 | 1 | no | — |
| 60 | C2×#907 | — | 2 | 1 | no | — |
| 61 | C2×#904 | — | 2 | 1 | no | — |
| 62 | C2×#904 | C23 | 1 | 2 | yes | — |
| 63 | C2×#904 | C23 | 1 | 1 | yes | characteristic |
| 64 | C22×D3×C8 | D4 | 1 | 1 | yes | characteristic |
| 65 | C22×D3×C8 | C23 | 1 | 1 | yes | characteristic |
| 66 | #5728 | — | 2 | 2 | no | — |
| 67 | #5725 | — | 2 | 2 | no | — |
| 68 | #5691 | — | 2 | 4 | no | — |
| 69 | #5627 | — | 4 | 2 | no | — |
| 70 | #5624 | — | 4 | 2 | no | — |
| 71 | #5580 | — | 4 | 2 | no | — |
| 72 | C4×#239 | — | 4 | 2 | no | — |
| 73 | #5524 | — | 2 | 2 | no | — |
| 74 | #5524 | — | 2 | 1 | no | — |
| 75 | #5522 | — | 2 | 2 | no | — |
| 76 | #5477 | — | 2 | 1 | no | — |
| 77 | C2×C42×D3 | D4 | 1 | 1 | yes | characteristic |
| 78 | C2×C3×M32 | C23 | 1 | 2 | yes | — |
| 79 | C3×#501 | — | 2 | 4 | no | — |
| 80 | C2×C3×#108 | C23 | 1 | 1 | yes | characteristic |
| 81 | C3×#427 | — | 2 | 1 | no | — |
| 82 | C3×#427 | C23 | 1 | 2 | yes | — |
| 83 | C3×#427 | C23 | 1 | 1 | yes | characteristic |
| 84 | C3×#424 | — | 2 | 1 | no | — |
| 85 | C2×C3×#97 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#825 | — | 2 | 1 | no | — |
| 87 | #5126 | — | 2 | 1 | no | — |
| 88 | #5110 | — | 2 | 1 | no | — |
| 89 | C2×#819 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×#815 | D4 | 1 | 1 | yes | characteristic |
| 91 | C2×#815 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×#812 | C23 | 1 | 2 | yes | — |
| 93 | #5089 | — | 2 | 4 | no | — |
| 94 | #5069 | — | 2 | 2 | no | — |
| 95 | #5067 | — | 2 | 2 | no | — |
| 96 | #5002 | — | 2 | 2 | no | — |
| 97 | #5002 | — | 2 | 2 | no | — |
| 98 | #5002 | — | 2 | 1 | no | — |
| 99 | #4997 | — | 2 | 1 | no | — |
| 100 | C2×#805 | — | 2 | 1 | no | — |
| 101 | C2×#803 | D4 | 1 | 1 | yes | characteristic |
| 102 | #4909 | — | 2 | 2 | no | — |
| 103 | #4909 | — | 2 | 2 | no | — |
| 104 | #4908 | — | 2 | 2 | no | — |
| 105 | #4908 | — | 2 | 2 | no | — |
| 106 | #4904 | — | 2 | 4 | no | — |
| 107 | #4894 | — | 2 | 4 | no | — |
| 108 | #4889 | — | 2 | 4 | no | — |
| 109 | #4889 | — | 2 | 4 | no | — |
| 110 | #4887 | — | 2 | 2 | no | — |
| 111 | #4887 | — | 2 | 2 | no | — |
| 112 | #4887 | — | 2 | 1 | no | — |
| 113 | #4883 | — | 2 | 2 | no | — |
| 114 | #4883 | — | 2 | 2 | no | — |
| 115 | #4883 | — | 2 | 1 | no | — |
| 116 | #4869 | — | 2 | 2 | no | — |
| 117 | #4869 | D4 | 1 | 4 | yes | complemented |
| 118 | #4864 | — | 2 | 4 | no | — |
| 119 | #4864 | — | 2 | 4 | no | — |
| 120 | #4864 | — | 2 | 2 | no | — |
| 121 | #4853 | — | 2 | 2 | no | — |
| 122 | #4853 | D4 | 1 | 4 | yes | complemented |
| 123 | #4836 | — | 4 | 2 | no | — |
| 124 | #4834 | — | 4 | 2 | no | — |
| 125 | #4715 | — | 2 | 2 | no | — |
| 126 | #4712 | — | 2 | 2 | no | — |
| 127 | D3×#97 | — | 2 | 4 | no | — |
| 128 | C3×#365 | — | 2 | 4 | no | — |
| 129 | C3×#339 | — | 2 | 1 | no | — |
| 130 | #4558 | — | 2 | 1 | no | — |
| 131 | #4532 | — | 2 | 1 | no | — |
| 132 | #4512 | — | 2 | 4 | no | — |
| 133 | #4510 | — | 2 | 4 | no | — |
| 134 | (C2×D3)⋊C16 | — | 2 | 4 | no | — |
| 135 | #4496 | — | 2 | 2 | no | — |
| 136 | #4495 | — | 2 | 2 | no | — |
| 137 | #4488 | — | 2 | 4 | no | — |
| 138 | #4488 | — | 2 | 4 | no | — |
| 139 | #3444 | — | 6 | 1 | no | — |
| 140 | #3414 | — | 3 | 2 | no | — |
| 141 | #3181 | — | 6 | 4 | no | — |
| 142 | #3180 | — | 6 | 4 | no | — |
| 143 | #3162 | C2×D3 | 1 | 1 | yes | characteristic |
| 144 | #3150 | — | 3 | 1 | no | — |
| 145 | #3135 | — | 6 | 1 | no | — |
| 146 | #3050 | — | 3 | 2 | no | — |
| 147 | #3050 | — | 3 | 1 | no | — |
| 148 | #3050 | — | 6 | 1 | no | — |
| 149 | C2×#444 | — | 3 | 1 | no | — |
| 150 | #2943 | — | 3 | 2 | no | — |
| 151 | #2943 | — | 6 | 1 | no | — |
| 152 | #2929 | — | 6 | 1 | no | — |
| 153 | C22×#97 | — | 3 | 1 | no | — |
| 154 | AGL(1,ℤ/16) | — | 6 | 4 | no | — |
| 155 | #2180 | — | 6 | 4 | no | — |
| 156 | #2155 | C2×D3 | 1 | 2 | yes | — |
| 157 | #2148 | — | 3 | 2 | no | — |
| 158 | #2145 | — | 3 | 2 | no | — |
| 159 | #2145 | — | 3 | 2 | no | — |
| 160 | #2143 | — | 3 | 2 | no | — |
| 161 | #2112 | — | 3 | 2 | no | — |
| 162 | C2×#347 | — | 3 | 2 | no | — |
| 163 | #1975 | — | 3 | 1 | no | — |
| 164 | #1946 | C2×D3 | 1 | 1 | yes | characteristic |
| 165 | #1938 | — | 6 | 1 | no | — |
| 166 | #1896 | — | 6 | 1 | no | — |
| 167 | #1810 | — | 3 | 1 | no | — |
| 168 | #1773 | — | 3 | 1 | no | — |
| 169 | #1765 | — | 6 | 1 | no | — |
| 170 | #1389 | — | 3 | 2 | no | — |
| 171 | #1384 | C2×D3 | 1 | 2 | yes | — |
| 172 | #1375 | — | 3 | 1 | no | — |
| 173 | #1375 | C2×D3 | 1 | 1 | yes | characteristic |
| 174 | C2×#239 | — | 4 | 2 | no | — |
| 175 | C2×#235 | — | 2 | 1 | no | — |
| 176 | C2×#235 | — | 2 | 2 | no | — |
| 177 | C22×C4×D3 | — | 2 | 1 | no | — |
| 178 | C22×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 179 | C2×C3×M16 | — | 2 | 1 | no | — |
| 180 | C22×C3×C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C22×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 182 | C3×C4⋊Q8 | — | 2 | 2 | no | — |
| 183 | C3×#125 | — | 2 | 2 | no | — |
| 184 | C3×C22⋊Q8 | — | 4 | 2 | no | — |
| 185 | C3×C4×Q8 | — | 4 | 2 | no | — |
| 186 | C3×#117 | — | 2 | 1 | no | — |
| 187 | C3×#117 | — | 2 | 2 | no | — |
| 188 | C2×C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | #947 | — | 4 | 2 | no | — |
| 190 | #946 | — | 4 | 2 | no | — |
| 191 | Q8×Dic3 | — | 4 | 2 | no | — |
| 192 | #930 | — | 4 | 2 | no | — |
| 193 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 194 | C2×C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C2×#208 | — | 2 | 1 | no | — |
| 196 | C22×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 197 | C22×C3⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 198 | #907 | — | 4 | 2 | no | — |
| 199 | #907 | — | 4 | 2 | no | — |
| 200 | C2×Dic12 | — | 2 | 1 | no | — |
| 201 | C2×Dic12 | C2×D4 | 1 | 2 | yes | — |
| 202 | C2×Dic12 | #41 | 1 | 1 | yes | characteristic, complemented |
| 203 | #904 | — | 2 | 2 | no | — |
| 204 | #904 | — | 2 | 2 | no | — |
| 205 | #904 | — | 2 | 2 | no | — |
| 206 | #904 | — | 2 | 2 | no | — |
| 207 | #904 | — | 2 | 2 | no | — |
| 208 | #904 | — | 2 | 2 | no | — |
| 209 | #904 | — | 4 | 2 | no | — |
| 210 | #904 | — | 4 | 2 | no | — |
| 211 | C2×D24 | — | 2 | 1 | no | — |
| 212 | C2×D24 | C2×D4 | 1 | 2 | yes | — |
| 213 | C2×D24 | #41 | 1 | 1 | yes | characteristic, complemented |
| 214 | C2×#204 | — | 2 | 2 | no | — |
| 215 | C2×#204 | — | 2 | 2 | no | — |
| 216 | C2×#204 | — | 2 | 1 | no | — |
| 217 | C2×ΓL(1,𝔽25) | — | 4 | 1 | no | — |
| 218 | C2×D3×C8 | — | 2 | 2 | no | — |
| 219 | C2×D3×C8 | — | 2 | 2 | no | — |
| 220 | C2×D3×C8 | — | 2 | 1 | no | — |
| 221 | C2×D3×C8 | — | 2 | 1 | no | — |
| 222 | C2×D3×C8 | — | 2 | 2 | no | — |
| 223 | C2×D3×C8 | — | 2 | 2 | no | — |
| 224 | C2×D3×C8 | — | 4 | 1 | no | — |
| 225 | C2×D3×C8 | — | 4 | 1 | no | — |
| 226 | #898 | — | 4 | 4 | no | — |
| 227 | #897 | — | 2 | 4 | no | — |
| 228 | #897 | — | 2 | 2 | no | — |
| 229 | #895 | — | 2 | 4 | no | — |
| 230 | #895 | — | 2 | 2 | no | — |
| 231 | #895 | — | 4 | 2 | no | — |
| 232 | #894 | — | 4 | 4 | no | — |
| 233 | #893 | — | 2 | 4 | no | — |
| 234 | #893 | — | 4 | 2 | no | — |
| 235 | #893 | — | 4 | 4 | no | — |
| 236 | #892 | — | 4 | 4 | no | — |
| 237 | #892 | — | 4 | 2 | no | — |
| 238 | #890 | — | 4 | 2 | no | — |
| 239 | #887 | — | 2 | 4 | no | — |
| 240 | #886 | — | 4 | 1 | no | — |
| 241 | #886 | — | 4 | 2 | no | — |
| 242 | #882 | — | 4 | 1 | no | — |
| 243 | #882 | — | 4 | 2 | no | — |
| 244 | #67⋊C4 | — | 4 | 4 | no | — |
| 245 | #875 | — | 2 | 2 | no | — |
| 246 | #874 | — | 2 | 1 | no | — |
| 247 | C4×D12 | — | 4 | 4 | no | — |
| 248 | C4×D12 | — | 4 | 2 | no | — |
| 249 | C4×D12 | — | 4 | 2 | no | — |
| 250 | #872 | — | 4 | 2 | no | — |
| 251 | C42×D3 | — | 2 | 2 | no | — |
| 252 | C42×D3 | — | 2 | 2 | no | — |
| 253 | C42×D3 | — | 4 | 2 | no | — |
| 254 | #869 | — | 2 | 1 | no | — |
| 255 | C3×M32 | — | 2 | 2 | no | — |
| 256 | C3×M32 | — | 2 | 2 | no | — |
| 257 | C2×C3×C16 | #41 | 1 | 4 | yes | complemented |
| 258 | C3×#108 | — | 2 | 2 | no | — |
| 259 | C3×#107 | — | 2 | 2 | no | — |
| 260 | C3×#107 | — | 2 | 2 | no | — |
| 261 | C3×#107 | — | 2 | 1 | no | — |
| 262 | C3×#106 | — | 2 | 2 | no | — |
| 263 | C3×#106 | C2×D4 | 1 | 4 | yes | — |
| 264 | C3×#106 | #41 | 1 | 2 | yes | complemented |
| 265 | C3×C4⋊C8 | — | 4 | 2 | no | — |
| 266 | C3×#97 | — | 2 | 2 | no | — |
| 267 | #825 | — | 4 | 2 | no | — |
| 268 | (C2×D3)⋊C8 | — | 4 | 2 | no | — |
| 269 | (C2×D3)⋊C8 | — | 4 | 2 | no | — |
| 270 | #819 | — | 2 | 2 | no | — |
| 271 | #815 | — | 2 | 2 | no | — |
| 272 | #815 | C2×D4 | 1 | 4 | yes | — |
| 273 | #812 | — | 2 | 2 | no | — |
| 274 | #812 | — | 2 | 2 | no | — |
| 275 | C2×C3⋊C16 | — | 2 | 2 | no | — |
| 276 | #810 | — | 2 | 4 | no | — |
| 277 | #810 | — | 2 | 2 | no | — |
| 278 | #810 | — | 2 | 4 | no | — |
| 279 | #809 | — | 2 | 4 | no | — |
| 280 | #809 | — | 2 | 2 | no | — |
| 281 | #809 | — | 2 | 4 | no | — |
| 282 | #805 | — | 4 | 2 | no | — |
| 283 | #803 | — | 2 | 2 | no | — |
| 284 | #803 | — | 4 | 1 | no | — |
| 285 | C4×C3⋊C8 | — | 4 | 1 | no | — |
| 286 | Dic24 | — | 2 | 4 | no | — |
| 287 | #800 | — | 2 | 4 | no | — |
| 288 | #800 | — | 2 | 4 | no | — |
| 289 | D48 | — | 2 | 4 | no | — |
| 290 | C2×#135 | — | 3 | 2 | no | — |
| 291 | C2×#135 | — | 3 | 1 | no | — |
| 292 | C2×#135 | — | 6 | 1 | no | — |
| 293 | C2×#131 | — | 6 | 1 | no | — |
| 294 | C23×C8 | — | 3 | 1 | no | — |
| 295 | C23×C8 | — | 3 | 1 | no | — |
| 296 | #533 | — | 2 | 1 | no | — |
| 297 | #533 | — | 6 | 2 | no | — |
| 298 | #532 | — | 6 | 2 | no | — |
| 299 | #532 | — | 6 | 1 | no | — |
| 300 | #529 | — | 6 | 4 | no | — |
| 301 | #529 | — | 12 | 2 | no | — |
| 302 | #529 | — | 12 | 2 | no | — |
| 303 | #525 | — | 6 | 1 | no | — |
| 304 | #525 | — | 6 | 2 | no | — |
| 305 | #525 | — | 12 | 2 | no | — |
| 306 | C4×#41 | — | 6 | 2 | no | — |
| 307 | C4×#41 | — | 12 | 2 | no | — |
| 308 | C22×C42 | — | 3 | 1 | no | — |
| 309 | #510 | — | 6 | 2 | no | — |
| 310 | #510 | — | 6 | 2 | no | — |
| 311 | #509 | — | 6 | 2 | no | — |
| 312 | #509 | — | 6 | 2 | no | — |
| 313 | #508 | — | 6 | 4 | no | — |
| 314 | C2×M32 | — | 3 | 2 | no | — |
| 315 | C2×M32 | C22×D3 | 1 | 2 | yes | — |
| 316 | #501 | — | 2 | 4 | no | — |
| 317 | #497 | — | 6 | 2 | no | — |
| 318 | #496 | — | 6 | 2 | no | — |
| 319 | #491 | — | 6 | 2 | no | — |
| 320 | #490 | — | 6 | 2 | no | — |
| 321 | #489 | — | 6 | 4 | no | — |
| 322 | #467 | — | 6 | 2 | no | — |
| 323 | #467 | — | 6 | 1 | no | — |
| 324 | #467 | — | 6 | 2 | no | — |
| 325 | #466 | — | 6 | 2 | no | — |
| 326 | #466 | — | 6 | 1 | no | — |
| 327 | #466 | — | 6 | 2 | no | — |
| 328 | #465 | — | 6 | 4 | no | — |
| 329 | #465 | — | 6 | 4 | no | — |
| 330 | #465 | — | 6 | 2 | no | — |
| 331 | #444 | — | 6 | 4 | no | — |
| 332 | #442 | — | 3 | 4 | no | — |
| 333 | #442 | — | 6 | 2 | no | — |
| 334 | #441 | — | 3 | 4 | no | — |
| 335 | #441 | — | 6 | 2 | no | — |
| 336 | #440 | — | 6 | 4 | no | — |
| 337 | #440 | — | 6 | 4 | no | — |
| 338 | #435 | — | 12 | 2 | no | — |
| 339 | C8×D4 | — | 12 | 2 | no | — |
| 340 | C2×#108 | — | 3 | 1 | no | — |
| 341 | C2×#108 | C22×D3 | 1 | 1 | yes | characteristic |
| 342 | #427 | — | 2 | 1 | no | — |
| 343 | #427 | C22×D3 | 1 | 2 | yes | — |
| 344 | #427 | C22×D3 | 1 | 1 | yes | characteristic |
| 345 | #424 | — | 2 | 1 | no | — |
| 346 | C2×#104 | — | 6 | 1 | no | — |
| 347 | C2×#104 | — | 6 | 1 | no | — |
| 348 | #416 | — | 6 | 2 | no | — |
| 349 | #416 | — | 6 | 2 | no | — |
| 350 | #416 | — | 6 | 1 | no | — |
| 351 | #408 | — | 6 | 1 | no | — |
| 352 | #407 | — | 6 | 1 | no | — |
| 353 | #405 | — | 6 | 1 | no | — |
| 354 | C2×#97 | — | 3 | 1 | no | — |
| 355 | C2×#97 | — | 3 | 1 | no | — |
| 356 | C2×#97 | — | 3 | 1 | no | — |
| 357 | C2×#97 | — | 6 | 4 | no | — |
| 358 | C2×#97 | C22×D3 | 1 | 1 | yes | characteristic |
| 359 | #365 | — | 2 | 4 | no | — |
| 360 | #362 | — | 6 | 2 | no | — |
| 361 | #361 | — | 6 | 2 | no | — |
| 362 | #360 | — | 6 | 4 | no | — |
| 363 | #360 | — | 6 | 4 | no | — |
| 364 | #359 | — | 6 | 4 | no | — |
| 365 | C22⋊C16 | — | 6 | 4 | no | — |
| 366 | #347 | — | 6 | 4 | no | — |
| 367 | #341 | — | 6 | 1 | no | — |
| 368 | #339 | — | 2 | 1 | no | — |
| 369 | #339 | — | 6 | 1 | no | — |
| 370 | C23×D3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 371 | C2×C3×Q8 | — | 4 | 2 | no | — |
| 372 | C22×C3×C4 | — | 2 | 1 | no | — |
| 373 | C22×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 374 | C2×#67 | — | 4 | 2 | no | — |
| 375 | C2×#67 | — | 4 | 1 | no | — |
| 376 | C22×Dic3 | — | 2 | 1 | no | — |
| 377 | C22×Dic3 | AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 378 | #239 | — | 8 | 8 | no | — |
| 379 | #235 | — | 4 | 1 | no | — |
| 380 | #235 | — | 4 | 2 | no | — |
| 381 | #235 | — | 4 | 1 | no | — |
| 382 | #235 | — | 4 | 2 | no | — |
| 383 | #235 | — | 4 | 1 | no | — |
| 384 | #235 | — | 4 | 2 | no | — |
| 385 | #235 | — | 4 | 2 | no | — |
| 386 | #235 | — | 4 | 1 | no | — |
| 387 | C2×D12 | — | 2 | 2 | no | — |
| 388 | C2×D12 | — | 2 | 1 | no | — |
| 389 | C2×D12 | — | 4 | 2 | no | — |
| 390 | C2×D12 | — | 4 | 4 | no | — |
| 391 | C2×D12 | — | 4 | 2 | no | — |
| 392 | C2×C4×D3 | — | 2 | 2 | no | — |
| 393 | C2×C4×D3 | — | 2 | 1 | no | — |
| 394 | C2×C4×D3 | — | 2 | 1 | no | — |
| 395 | C2×C4×D3 | — | 2 | 1 | no | — |
| 396 | C2×C4×D3 | — | 2 | 1 | no | — |
| 397 | C2×C4×D3 | — | 2 | 1 | no | — |
| 398 | C2×C4×D3 | — | 2 | 1 | no | — |
| 399 | C2×C4×D3 | — | 2 | 2 | no | — |
| 400 | C2×C4×D3 | — | 4 | 4 | no | — |
| 401 | C2×C4×D3 | — | 4 | 1 | no | — |
| 402 | C2×C4×D3 | — | 4 | 2 | no | — |
| 403 | C2×C4×D3 | — | 8 | 2 | no | — |
| 404 | C2×Dic6 | — | 2 | 2 | no | — |
| 405 | C2×Dic6 | — | 2 | 1 | no | — |
| 406 | C3×M16 | — | 4 | 1 | no | — |
| 407 | C3×M16 | — | 4 | 1 | no | — |
| 408 | C2×C3×C8 | — | 2 | 1 | no | — |
| 409 | C2×C3×C8 | — | 2 | 1 | no | — |
| 410 | C2×C3×C8 | — | 4 | 1 | no | — |
| 411 | C2×C3×C8 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 412 | C2×C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 413 | C2×C3×C8 | C2×#41 | 1 | 2 | yes | — |
| 414 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 415 | C2×C3×C8 | C2×#41 | 1 | 1 | yes | characteristic |
| 416 | C3×C4⋊C4 | — | 2 | 4 | no | — |
| 417 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 418 | C3×C4⋊C4 | — | 4 | 2 | no | — |
| 419 | C3×C4⋊C4 | — | 4 | 4 | no | — |
| 420 | C3×C22⋊C4 | — | 4 | 2 | no | — |
| 421 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 422 | C3×C42 | — | 2 | 1 | no | — |
| 423 | C3×C42 | — | 4 | 1 | no | — |
| 424 | C3×C42 | — | 4 | 2 | no | — |
| 425 | C3×C42 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 426 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 427 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 428 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 429 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 430 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 431 | (C2×D3)⋊C4 | — | 4 | 2 | no | — |
| 432 | C4⋊Dic3 | — | 4 | 4 | no | — |
| 433 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 434 | C4⋊Dic3 | — | 4 | 2 | no | — |
| 435 | Dic3⋊C4 | — | 4 | 4 | no | — |
| 436 | C4×Dic3 | — | 2 | 2 | no | — |
| 437 | C4×Dic3 | — | 2 | 2 | no | — |
| 438 | C4×Dic3 | — | 2 | 1 | no | — |
| 439 | C4×Dic3 | — | 4 | 4 | no | — |
| 440 | C4×Dic3 | #120 | 1 | 2 | yes | — |
| 441 | #208 | — | 4 | 1 | no | — |
| 442 | #208 | — | 4 | 1 | no | — |
| 443 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 444 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 445 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 446 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 447 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 448 | C2×C3⋊C8 | — | 4 | 1 | no | — |
| 449 | C2×C3⋊C8 | #120 | 1 | 2 | yes | — |
| 450 | Dic12 | — | 2 | 2 | no | — |
| 451 | Dic12 | — | 2 | 2 | no | — |
| 452 | Dic12 | — | 2 | 2 | no | — |
| 453 | Dic12 | — | 4 | 2 | no | — |
| 454 | D24 | — | 2 | 2 | no | — |
| 455 | D24 | — | 2 | 2 | no | — |
| 456 | D24 | — | 2 | 2 | no | — |
| 457 | D24 | — | 4 | 2 | no | — |
| 458 | #204 | — | 4 | 4 | no | — |
| 459 | #204 | — | 4 | 2 | no | — |
| 460 | #204 | — | 4 | 2 | no | — |
| 461 | #204 | — | 4 | 2 | no | — |
| 462 | ΓL(1,𝔽25) | — | 8 | 2 | no | — |
| 463 | D3×C8 | — | 4 | 4 | no | — |
| 464 | D3×C8 | — | 4 | 2 | no | — |
| 465 | D3×C8 | — | 4 | 2 | no | — |
| 466 | D3×C8 | — | 8 | 2 | no | — |
| 467 | C3×C16 | — | 2 | 4 | no | — |
| 468 | C3⋊C16 | — | 4 | 2 | no | — |
| 469 | C2×#41 | — | 6 | 2 | no | — |
| 470 | C2×#41 | — | 6 | 1 | no | — |
| 471 | C2×#41 | — | 12 | 2 | no | — |
| 472 | C23×C4 | — | 3 | 1 | no | — |
| 473 | C23×C4 | — | 6 | 1 | no | — |
| 474 | #135 | — | 6 | 2 | no | — |
| 475 | #135 | — | 6 | 2 | no | — |
| 476 | #135 | — | 6 | 2 | no | — |
| 477 | #135 | — | 6 | 2 | no | — |
| 478 | #135 | — | 6 | 2 | no | — |
| 479 | #135 | — | 6 | 2 | no | — |
| 480 | #135 | — | 12 | 2 | no | — |
| 481 | #135 | — | 12 | 2 | no | — |
| 482 | C2×Q16 | — | 3 | 2 | no | — |
| 483 | C2×Q16 | — | 3 | 1 | no | — |
| 484 | C2×Q16 | — | 6 | 1 | no | — |
| 485 | C2×SD16 | — | 6 | 2 | no | — |
| 486 | C2×SD16 | — | 6 | 2 | no | — |
| 487 | C2×SD16 | — | 6 | 1 | no | — |
| 488 | C2×D8 | — | 3 | 2 | no | — |
| 489 | C2×D8 | — | 3 | 1 | no | — |
| 490 | C2×D8 | — | 6 | 1 | no | — |
| 491 | #131 | — | 12 | 2 | no | — |
| 492 | #131 | — | 12 | 2 | no | — |
| 493 | C2×M16 | — | 2 | 1 | no | — |
| 494 | C2×M16 | — | 6 | 1 | no | — |
| 495 | C2×M16 | — | 12 | 1 | no | — |
| 496 | C22×C8 | — | 3 | 1 | no | — |
| 497 | C22×C8 | — | 3 | 1 | no | — |
| 498 | C22×C8 | — | 6 | 2 | no | — |
| 499 | C22×C8 | — | 6 | 2 | no | — |
| 500 | C22×C8 | — | 6 | 2 | no | — |
| 501 | C22×C8 | — | 6 | 2 | no | — |
| 502 | C22×C8 | — | 6 | 1 | no | — |
| 503 | C22×C8 | — | 6 | 1 | no | — |
| 504 | C22×C8 | — | 12 | 1 | no | — |
| 505 | C22×C8 | — | 12 | 1 | no | — |
| 506 | C22×C8 | D3×D4 | 1 | 1 | yes | characteristic |
| 507 | C22×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 508 | C4⋊Q8 | — | 2 | 2 | no | — |
| 509 | C4⋊Q8 | — | 6 | 1 | no | — |
| 510 | #127 | — | 6 | 1 | no | — |
| 511 | #126 | — | 12 | 4 | no | — |
| 512 | #125 | — | 2 | 2 | no | — |
| 513 | #125 | — | 12 | 2 | no | — |
| 514 | #124 | — | 6 | 2 | no | — |
| 515 | #124 | — | 12 | 2 | no | — |
| 516 | #123 | — | 12 | 2 | no | — |
| 517 | #123 | — | 12 | 1 | no | — |
| 518 | #123 | — | 12 | 4 | no | — |
| 519 | C22⋊Q8 | — | 4 | 2 | no | — |
| 520 | C22⋊Q8 | — | 6 | 4 | no | — |
| 521 | C22⋊Q8 | — | 6 | 2 | no | — |
| 522 | C22⋊Q8 | — | 12 | 2 | no | — |
| 523 | #121 | — | 6 | 4 | no | — |
| 524 | #121 | — | 6 | 2 | no | — |
| 525 | #121 | — | 12 | 2 | no | — |
| 526 | #121 | — | 12 | 2 | no | — |
| 527 | #120 | — | 12 | 2 | no | — |
| 528 | #120 | — | 12 | 1 | no | — |
| 529 | C4×Q8 | — | 4 | 2 | no | — |
| 530 | C4×Q8 | — | 6 | 4 | no | — |
| 531 | C4×Q8 | — | 12 | 2 | no | — |
| 532 | C4×D4 | — | 6 | 4 | no | — |
| 533 | C4×D4 | — | 12 | 4 | no | — |
| 534 | C4×D4 | — | 12 | 2 | no | — |
| 535 | C4×D4 | — | 12 | 2 | no | — |
| 536 | C4×D4 | — | 12 | 4 | no | — |
| 537 | C4×D4 | — | 12 | 4 | no | — |
| 538 | C4×D4 | — | 12 | 2 | no | — |
| 539 | #117 | — | 2 | 2 | no | — |
| 540 | #117 | — | 2 | 1 | no | — |
| 541 | #117 | — | 12 | 2 | no | — |
| 542 | #117 | — | 12 | 4 | no | — |
| 543 | #117 | — | 12 | 2 | no | — |
| 544 | C2×C42 | — | 3 | 1 | no | — |
| 545 | C2×C42 | — | 6 | 2 | no | — |
| 546 | C2×C42 | — | 6 | 1 | no | — |
| 547 | C2×C42 | — | 6 | 2 | no | — |
| 548 | C2×C42 | — | 12 | 2 | no | — |
| 549 | C2×C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 550 | Q32 | — | 6 | 4 | no | — |
| 551 | SD32 | — | 6 | 4 | no | — |
| 552 | SD32 | — | 6 | 4 | no | — |
| 553 | D16 | — | 6 | 4 | no | — |
| 554 | M32 | — | 2 | 2 | no | — |
| 555 | M32 | — | 2 | 2 | no | — |
| 556 | M32 | — | 6 | 2 | no | — |
| 557 | M32 | — | 6 | 2 | no | — |
| 558 | C2×C16 | — | 6 | 2 | no | — |
| 559 | C2×C16 | #239 | 1 | 4 | yes | complemented |
| 560 | #108 | — | 2 | 2 | no | — |
| 561 | #108 | — | 6 | 2 | no | — |
| 562 | #107 | — | 2 | 2 | no | — |
| 563 | #107 | — | 2 | 2 | no | — |
| 564 | #107 | — | 2 | 1 | no | — |
| 565 | #106 | — | 2 | 2 | no | — |
| 566 | #106 | D3×D4 | 1 | 4 | yes | — |
| 567 | #106 | #239 | 1 | 2 | yes | complemented |
| 568 | C4⋊C8 | — | 4 | 2 | no | — |
| 569 | #104 | — | 12 | 2 | no | — |
| 570 | #104 | — | 12 | 2 | no | — |
| 571 | #103 | — | 6 | 4 | no | — |
| 572 | #103 | — | 6 | 4 | no | — |
| 573 | #103 | — | 6 | 2 | no | — |
| 574 | #102 | — | 6 | 4 | no | — |
| 575 | #102 | — | 6 | 4 | no | — |
| 576 | #102 | — | 6 | 2 | no | — |
| 577 | C22⋊C8 | — | 12 | 2 | no | — |
| 578 | C22⋊C8 | — | 12 | 2 | no | — |
| 579 | #97 | — | 2 | 2 | no | — |
| 580 | #97 | — | 3 | 4 | no | — |
| 581 | #97 | — | 6 | 2 | no | — |
| 582 | #97 | — | 6 | 2 | no | — |
| 583 | #97 | — | 12 | 1 | no | — |
| 584 | C4×C8 | — | 12 | 1 | no | — |
| 585 | C23×C3 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 586 | C22×D3 | — | 2 | 1 | no | — |
| 587 | C22×D3 | — | 2 | 1 | no | — |
| 588 | C22×D3 | — | 2 | 1 | no | — |
| 589 | C22×D3 | — | 4 | 2 | no | — |
| 590 | C22×D3 | — | 4 | 1 | no | — |
| 591 | C22×D3 | — | 4 | 2 | no | — |
| 592 | C3×Q8 | — | 8 | 4 | no | — |
| 593 | C2×C3×C4 | — | 2 | 2 | no | — |
| 594 | C2×C3×C4 | — | 4 | 2 | no | — |
| 595 | C2×C3×C4 | — | 4 | 4 | no | — |
| 596 | C2×C3×C4 | — | 8 | 1 | no | — |
| 597 | C2×C3×C4 | C2×#120 | 1 | 1 | yes | characteristic |
| 598 | C2×C3×C4 | #525 | 1 | 1 | yes | characteristic |
| 599 | C2×C3×C4 | #532 | 1 | 1 | yes | characteristic |
| 600 | C2×C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 601 | C2×C3×C4 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 602 | C2×C3×C4 | #575 | 1 | 1 | yes | characteristic |
| 603 | #67 | — | 8 | 2 | no | — |
| 604 | #67 | — | 8 | 2 | no | — |
| 605 | #67 | — | 8 | 1 | no | — |
| 606 | #67 | — | 8 | 1 | no | — |
| 607 | C2×Dic3 | — | 2 | 1 | no | — |
| 608 | C2×Dic3 | — | 2 | 1 | no | — |
| 609 | C2×Dic3 | — | 2 | 1 | no | — |
| 610 | C2×Dic3 | — | 2 | 2 | no | — |
| 611 | C2×Dic3 | — | 4 | 1 | no | — |
| 612 | C2×Dic3 | — | 4 | 2 | no | — |
| 613 | C2×Dic3 | — | 8 | 1 | no | — |
| 614 | D12 | — | 4 | 1 | no | — |
| 615 | D12 | — | 4 | 2 | no | — |
| 616 | D12 | — | 4 | 1 | no | — |
| 617 | D12 | — | 4 | 2 | no | — |
| 618 | D12 | — | 8 | 4 | no | — |
| 619 | D12 | — | 8 | 4 | no | — |
| 620 | D12 | — | 8 | 8 | no | — |
| 621 | C4×D3 | — | 4 | 4 | no | — |
| 622 | C4×D3 | — | 4 | 1 | no | — |
| 623 | C4×D3 | — | 4 | 1 | no | — |
| 624 | C4×D3 | — | 4 | 1 | no | — |
| 625 | C4×D3 | — | 4 | 1 | no | — |
| 626 | C4×D3 | — | 8 | 2 | no | — |
| 627 | C4×D3 | — | 8 | 8 | no | — |
| 628 | C4×D3 | — | 8 | 2 | no | — |
| 629 | C4×D3 | — | 8 | 1 | no | — |
| 630 | C4×D3 | — | 8 | 2 | no | — |
| 631 | C4×D3 | — | 8 | 1 | no | — |
| 632 | Dic6 | — | 4 | 1 | no | — |
| 633 | Dic6 | — | 4 | 2 | no | — |
| 634 | Dic6 | — | 4 | 1 | no | — |
| 635 | Dic6 | — | 4 | 2 | no | — |
| 636 | C3×C8 | — | 2 | 2 | no | — |
| 637 | C3×C8 | — | 8 | 1 | no | — |
| 638 | C3×C8 | #525 | 1 | 2 | yes | — |
| 639 | C3×C8 | #532 | 1 | 2 | yes | — |
| 640 | C3⋊C8 | — | 2 | 2 | no | — |
| 641 | C3⋊C8 | — | 4 | 1 | no | — |
| 642 | C3⋊C8 | — | 8 | 1 | no | — |
| 643 | C24 | — | 3 | 1 | no | — |
| 644 | #41 | — | 12 | 2 | no | — |
| 645 | #41 | — | 12 | 1 | no | — |
| 646 | #41 | — | 12 | 1 | no | — |
| 647 | #41 | — | 12 | 2 | no | — |
| 648 | #41 | — | 12 | 1 | no | — |
| 649 | #41 | — | 12 | 2 | no | — |
| 650 | #41 | — | 12 | 1 | no | — |
| 651 | #41 | — | 12 | 2 | no | — |
| 652 | #41 | — | 24 | 8 | no | — |
| 653 | C2×Q8 | — | 4 | 2 | no | — |
| 654 | C2×Q8 | — | 6 | 2 | no | — |
| 655 | C2×Q8 | — | 6 | 1 | no | — |
| 656 | C2×D4 | — | 6 | 2 | no | — |
| 657 | C2×D4 | — | 6 | 1 | no | — |
| 658 | C2×D4 | — | 12 | 2 | no | — |
| 659 | C2×D4 | — | 12 | 4 | no | — |
| 660 | C2×D4 | — | 12 | 2 | no | — |
| 661 | C2×D4 | — | 12 | 2 | no | — |
| 662 | C2×D4 | — | 12 | 1 | no | — |
| 663 | C22×C4 | — | 2 | 1 | no | — |
| 664 | C22×C4 | — | 3 | 1 | no | — |
| 665 | C22×C4 | — | 6 | 2 | no | — |
| 666 | C22×C4 | — | 6 | 2 | no | — |
| 667 | C22×C4 | — | 6 | 1 | no | — |
| 668 | C22×C4 | — | 6 | 1 | no | — |
| 669 | C22×C4 | — | 6 | 1 | no | — |
| 670 | C22×C4 | — | 6 | 1 | no | — |
| 671 | C22×C4 | — | 6 | 1 | no | — |
| 672 | C22×C4 | — | 6 | 1 | no | — |
| 673 | C22×C4 | — | 6 | 1 | no | — |
| 674 | C22×C4 | — | 12 | 4 | no | — |
| 675 | C22×C4 | — | 12 | 1 | no | — |
| 676 | C22×C4 | — | 12 | 2 | no | — |
| 677 | C22×C4 | — | 24 | 2 | no | — |
| 678 | C22×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 679 | Q16 | — | 6 | 2 | no | — |
| 680 | Q16 | — | 6 | 2 | no | — |
| 681 | Q16 | — | 6 | 2 | no | — |
| 682 | Q16 | — | 12 | 2 | no | — |
| 683 | SD16 | — | 12 | 4 | no | — |
| 684 | SD16 | — | 12 | 2 | no | — |
| 685 | SD16 | — | 12 | 2 | no | — |
| 686 | SD16 | — | 12 | 2 | no | — |
| 687 | D8 | — | 6 | 2 | no | — |
| 688 | D8 | — | 6 | 2 | no | — |
| 689 | D8 | — | 6 | 2 | no | — |
| 690 | D8 | — | 12 | 2 | no | — |
| 691 | M16 | — | 4 | 1 | no | — |
| 692 | M16 | — | 4 | 1 | no | — |
| 693 | M16 | — | 12 | 1 | no | — |
| 694 | M16 | — | 12 | 1 | no | — |
| 695 | M16 | — | 24 | 2 | no | — |
| 696 | C2×C8 | — | 2 | 1 | no | — |
| 697 | C2×C8 | — | 2 | 1 | no | — |
| 698 | C2×C8 | — | 3 | 2 | no | — |
| 699 | C2×C8 | — | 4 | 1 | no | — |
| 700 | C2×C8 | — | 6 | 1 | no | — |
| 701 | C2×C8 | — | 6 | 1 | no | — |
| 702 | C2×C8 | — | 6 | 1 | no | — |
| 703 | C2×C8 | — | 6 | 1 | no | — |
| 704 | C2×C8 | — | 6 | 1 | no | — |
| 705 | C2×C8 | — | 12 | 4 | no | — |
| 706 | C2×C8 | — | 12 | 2 | no | — |
| 707 | C2×C8 | — | 12 | 2 | no | — |
| 708 | C2×C8 | — | 12 | 1 | no | — |
| 709 | C2×C8 | — | 24 | 2 | no | — |
| 710 | C2×C8 | #914 | 1 | 2 | yes | — |
| 711 | C2×C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 712 | C2×C8 | C2×#239 | 1 | 1 | yes | characteristic |
| 713 | C2×C8 | C2×#239 | 1 | 2 | yes | — |
| 714 | C2×C8 | D3×#41 | 1 | 1 | yes | characteristic |
| 715 | C4⋊C4 | — | 2 | 4 | no | — |
| 716 | C4⋊C4 | — | 2 | 2 | no | — |
| 717 | C4⋊C4 | — | 4 | 2 | no | — |
| 718 | C4⋊C4 | — | 4 | 4 | no | — |
| 719 | C4⋊C4 | — | 12 | 2 | no | — |
| 720 | C4⋊C4 | — | 12 | 4 | no | — |
| 721 | C4⋊C4 | — | 12 | 4 | no | — |
| 722 | C4⋊C4 | — | 12 | 2 | no | — |
| 723 | C22⋊C4 | — | 4 | 2 | no | — |
| 724 | C22⋊C4 | — | 4 | 1 | no | — |
| 725 | C22⋊C4 | — | 12 | 4 | no | — |
| 726 | C22⋊C4 | — | 12 | 4 | no | — |
| 727 | C22⋊C4 | — | 12 | 4 | no | — |
| 728 | C22⋊C4 | — | 12 | 2 | no | — |
| 729 | C22⋊C4 | — | 12 | 4 | no | — |
| 730 | C22⋊C4 | — | 12 | 2 | no | — |
| 731 | C42 | — | 2 | 1 | no | — |
| 732 | C42 | — | 3 | 2 | no | — |
| 733 | C42 | — | 4 | 1 | no | — |
| 734 | C42 | — | 4 | 2 | no | — |
| 735 | C42 | — | 6 | 2 | no | — |
| 736 | C42 | — | 6 | 2 | no | — |
| 737 | C42 | — | 6 | 1 | no | — |
| 738 | C42 | — | 12 | 4 | no | — |
| 739 | C42 | #914 | 1 | 2 | yes | — |
| 740 | C16 | — | 2 | 4 | no | — |
| 741 | C16 | — | 12 | 2 | no | — |
| 742 | C22×C3 | — | 4 | 1 | no | — |
| 743 | C22×C3 | #3003 | 1 | 1 | yes | characteristic |
| 744 | C22×C3 | #3109 | 1 | 1 | yes | characteristic |
| 745 | C22×C3 | #3180 | 1 | 1 | yes | characteristic |
| 746 | C2×D3 | — | 2 | 2 | no | — |
| 747 | C2×D3 | — | 2 | 2 | no | — |
| 748 | C2×D3 | — | 2 | 2 | no | — |
| 749 | C2×D3 | — | 4 | 1 | no | — |
| 750 | C2×D3 | — | 4 | 1 | no | — |
| 751 | C2×D3 | — | 4 | 1 | no | — |
| 752 | C2×D3 | — | 4 | 1 | no | — |
| 753 | C2×D3 | — | 8 | 4 | no | — |
| 754 | C2×D3 | — | 8 | 2 | no | — |
| 755 | C2×D3 | — | 8 | 2 | no | — |
| 756 | C2×D3 | — | 8 | 1 | no | — |
| 757 | C3×C4 | — | 4 | 2 | no | — |
| 758 | C3×C4 | — | 8 | 4 | no | — |
| 759 | C3×C4 | — | 8 | 2 | no | — |
| 760 | C3×C4 | #2388 | 1 | 1 | yes | characteristic |
| 761 | C3×C4 | #3006 | 1 | 1 | yes | characteristic |
| 762 | C3×C4 | #3115 | 1 | 1 | yes | characteristic |
| 763 | C3×C4 | #3184 | 1 | 1 | yes | characteristic |
| 764 | Dic3 | — | 4 | 2 | no | — |
| 765 | Dic3 | — | 4 | 1 | no | — |
| 766 | Dic3 | — | 8 | 1 | no | — |
| 767 | Dic3 | — | 8 | 2 | no | — |
| 768 | C23 | — | 6 | 1 | no | — |
| 769 | C23 | — | 6 | 1 | no | — |
| 770 | C23 | — | 6 | 1 | no | — |
| 771 | C23 | — | 12 | 2 | no | — |
| 772 | C23 | — | 12 | 2 | no | — |
| 773 | C23 | — | 12 | 1 | no | — |
| 774 | C23 | D3×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 775 | Q8 | — | 8 | 4 | no | — |
| 776 | Q8 | — | 12 | 1 | no | — |
| 777 | Q8 | — | 12 | 1 | no | — |
| 778 | Q8 | — | 12 | 2 | no | — |
| 779 | Q8 | — | 12 | 2 | no | — |
| 780 | D4 | — | 12 | 1 | no | — |
| 781 | D4 | — | 12 | 2 | no | — |
| 782 | D4 | — | 12 | 1 | no | — |
| 783 | D4 | — | 12 | 2 | no | — |
| 784 | D4 | — | 24 | 4 | no | — |
| 785 | D4 | — | 24 | 8 | no | — |
| 786 | D4 | — | 24 | 4 | no | — |
| 787 | D4 | — | 24 | 1 | no | — |
| 788 | D4 | — | 24 | 2 | no | — |
| 789 | D4 | — | 24 | 1 | no | — |
| 790 | D4 | — | 24 | 2 | no | — |
| 791 | C2×C4 | — | 2 | 2 | no | — |
| 792 | C2×C4 | — | 4 | 4 | no | — |
| 793 | C2×C4 | — | 4 | 2 | no | — |
| 794 | C2×C4 | — | 6 | 2 | no | — |
| 795 | C2×C4 | — | 6 | 1 | no | — |
| 796 | C2×C4 | — | 6 | 1 | no | — |
| 797 | C2×C4 | — | 6 | 1 | no | — |
| 798 | C2×C4 | — | 8 | 1 | no | — |
| 799 | C2×C4 | — | 12 | 4 | no | — |
| 800 | C2×C4 | — | 12 | 1 | no | — |
| 801 | C2×C4 | — | 12 | 1 | no | — |
| 802 | C2×C4 | — | 12 | 1 | no | — |
| 803 | C2×C4 | — | 12 | 1 | no | — |
| 804 | C2×C4 | — | 12 | 2 | no | — |
| 805 | C2×C4 | — | 12 | 1 | no | — |
| 806 | C2×C4 | — | 24 | 2 | no | — |
| 807 | C2×C4 | — | 24 | 8 | no | — |
| 808 | C2×C4 | — | 24 | 1 | no | — |
| 809 | C2×C4 | — | 24 | 2 | no | — |
| 810 | C2×C4 | — | 24 | 1 | no | — |
| 811 | C2×C4 | — | 24 | 1 | no | — |
| 812 | C2×C4 | — | 24 | 2 | no | — |
| 813 | C2×C4 | D3×#120 | 1 | 1 | yes | characteristic |
| 814 | C2×C4 | #5627 | 1 | 1 | yes | characteristic |
| 815 | C2×C4 | #5725 | 1 | 1 | yes | characteristic |
| 816 | C2×C4 | C2×#914 | 1 | 1 | yes | characteristic |
| 817 | C2×C4 | C2×#914 | 1 | 1 | yes | characteristic |
| 818 | C2×C4 | #5777 | 1 | 1 | yes | characteristic |
| 819 | C8 | — | 2 | 2 | no | — |
| 820 | C8 | — | 6 | 2 | no | — |
| 821 | C8 | — | 8 | 1 | no | — |
| 822 | C8 | — | 12 | 1 | no | — |
| 823 | C8 | — | 24 | 1 | no | — |
| 824 | C8 | #5627 | 1 | 2 | yes | — |
| 825 | C8 | #5725 | 1 | 2 | yes | — |
| 826 | C2×C3 | — | 2 | 1 | no | — |
| 827 | C2×C3 | — | 2 | 1 | no | — |
| 828 | C2×C3 | — | 2 | 1 | no | — |
| 829 | C2×C3 | #23573 | 1 | 1 | yes | characteristic |
| 830 | D3 | — | 4 | 2 | no | — |
| 831 | D3 | — | 16 | 2 | no | — |
| 832 | D3 | — | 16 | 1 | no | — |
| 833 | C22 | — | 4 | 1 | no | — |
| 834 | C22 | — | 6 | 2 | no | — |
| 835 | C22 | — | 6 | 2 | no | — |
| 836 | C22 | — | 6 | 2 | no | — |
| 837 | C22 | — | 12 | 1 | no | — |
| 838 | C22 | — | 12 | 1 | no | — |
| 839 | C22 | — | 12 | 1 | no | — |
| 840 | C22 | — | 12 | 1 | no | — |
| 841 | C22 | — | 24 | 4 | no | — |
| 842 | C22 | — | 24 | 2 | no | — |
| 843 | C22 | — | 24 | 2 | no | — |
| 844 | C22 | — | 24 | 1 | no | — |
| 845 | C22 | #80146 | 1 | 1 | yes | characteristic |
| 846 | C22 | #81046 | 1 | 1 | yes | characteristic |
| 847 | C22 | #81962 | 1 | 1 | yes | characteristic |
| 848 | C4 | — | 4 | 2 | no | — |
| 849 | C4 | — | 8 | 4 | no | — |
| 850 | C4 | — | 8 | 2 | no | — |
| 851 | C4 | — | 12 | 2 | no | — |
| 852 | C4 | — | 12 | 1 | no | — |
| 853 | C4 | — | 24 | 2 | no | — |
| 854 | C4 | — | 24 | 1 | no | — |
| 855 | C4 | #77169 | 1 | 1 | yes | characteristic |
| 856 | C4 | #80040 | 1 | 1 | yes | characteristic |
| 857 | C4 | #80999 | 1 | 1 | yes | characteristic |
| 858 | C4 | #81888 | 1 | 1 | yes | characteristic |
| 859 | C3 | #499261 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 860 | C2 | — | 2 | 1 | no | — |
| 861 | C2 | — | 2 | 1 | no | — |
| 862 | C2 | — | 2 | 1 | no | — |
| 863 | C2 | — | 12 | 2 | no | — |
| 864 | C2 | — | 48 | 2 | no | — |
| 865 | C2 | — | 48 | 1 | no | — |
| 866 | C2 | #10823415 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #11665122 | C2 | semidirect |
| 2. #10948636 | C2 | semidirect |
| 3. #10801981 | C2 | semidirect |
| 4. #10714584 | C2 | semidirect |
| 5. #10714449 | C2 | semidirect |
| 6. #10714302 | C2 | semidirect |
| 7. #10714113 | C2 | semidirect |
| 8. #10713916 | C2 | semidirect |
| 9. #10710470 | C2 | semidirect |
| 10. #10710244 | C2 | semidirect |
| 11. C3×#13459 | C2 | semidirect |
| 51. #13459 | D3 | semidirect |
| 117. #4869 | D4 | semidirect |
| 122. #4853 | D4 | semidirect |
| 202. C2×Dic12 | #41 | semidirect |
| 213. C2×D24 | #41 | semidirect |
| 257. C2×C3×C16 | #41 | semidirect |
| 264. C3×#106 | #41 | semidirect |
| 559. C2×C16 | #239 | semidirect |
| 567. #106 | #239 | semidirect |
| 859. C3 | #499261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11665122 | 2 |
| #10948636 | 2 |
| #10801981 | 2 |
| #10714584 | 2 |
| #10714449 | 2 |
| #10714302 | 2 |
| #10714113 | 2 |
| #10713916 | 2 |
| #10710470 | 2 |
| #10710244 | 2 |
| C3×#13459 | 2 |
| #499261 | 3 |