Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1726 conjugacy classes of subgroups.
The subgroup lattice has 768 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86215 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #85803 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×C3×#475 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83207 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C4×#942 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #81043 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #81040 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #81039 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #81008 | C2 | 1 | 4 | yes | maximal, complemented |
| 10 | #81007 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #81006 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #79130 | C2 | 1 | 2 | yes | maximal |
| 13 | #79110 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #79025 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #79008 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #78779 | C2 | 1 | 2 | yes | maximal, complemented |
| 17 | #78774 | C2 | 1 | 2 | yes | maximal |
| 18 | #61383 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C2×C3×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C3×C4×Q8 | C22 | 1 | 1 | yes | characteristic |
| 21 | Q8×#67 | — | 2 | 2 | no | — |
| 22 | #5812 | C22 | 1 | 2 | yes | — |
| 23 | C2×#942 | C22 | 1 | 1 | yes | characteristic |
| 24 | #5730 | C22 | 1 | 2 | yes | — |
| 25 | #5729 | — | 2 | 2 | no | — |
| 26 | #5728 | — | 2 | 1 | no | — |
| 27 | #5727 | C22 | 1 | 2 | yes | — |
| 28 | D3×C4⋊Q8 | — | 2 | 1 | no | — |
| 29 | #5722 | C22 | 1 | 2 | yes | — |
| 30 | #5721 | C22 | 1 | 2 | yes | — |
| 31 | #5570 | — | 2 | 1 | no | — |
| 32 | #5570 | C22 | 1 | 2 | yes | — |
| 33 | #5569 | — | 2 | 2 | no | — |
| 34 | #5569 | C22 | 1 | 4 | yes | — |
| 35 | Q8×Dic6 | — | 2 | 1 | no | — |
| 36 | Q8×Dic6 | C22 | 1 | 2 | yes | — |
| 37 | #5511 | — | 2 | 2 | no | — |
| 38 | #5504 | C22 | 1 | 2 | yes | — |
| 39 | #5500 | — | 2 | 2 | no | — |
| 40 | #5500 | C22 | 1 | 2 | yes | — |
| 41 | #5500 | C22 | 1 | 2 | yes | — |
| 42 | C4×#235 | C22 | 1 | 1 | yes | characteristic |
| 43 | #5470 | — | 2 | 2 | no | — |
| 44 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 45 | #5470 | C22 | 1 | 1 | yes | characteristic |
| 46 | C3×#475 | C22 | 1 | 2 | yes | — |
| 47 | C3×#475 | C22 | 1 | 4 | yes | — |
| 48 | C3×#475 | C22 | 1 | 2 | yes | — |
| 49 | C2×C3×#106 | C22 | 1 | 2 | yes | — |
| 50 | C2×C3×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 51 | C2×C3×#103 | C22 | 1 | 2 | yes | — |
| 52 | #5225 | C22 | 1 | 1 | yes | characteristic |
| 53 | #5113 | C22 | 1 | 2 | yes | — |
| 54 | #5106 | C22 | 1 | 2 | yes | — |
| 55 | #5102 | C22 | 1 | 2 | yes | — |
| 56 | #5101 | C22 | 1 | 2 | yes | — |
| 57 | #5081 | C22 | 1 | 4 | yes | — |
| 58 | #5080 | C22 | 1 | 2 | yes | — |
| 59 | #5078 | C22 | 1 | 2 | yes | — |
| 60 | #5030 | C22 | 1 | 2 | yes | — |
| 61 | C4×#216 | C22 | 1 | 2 | yes | — |
| 62 | #5026 | C22 | 1 | 2 | yes | — |
| 63 | C4×#215 | C22 | 1 | 2 | yes | — |
| 64 | #4966 | C22 | 1 | 1 | yes | characteristic |
| 65 | #4964 | C22 | 1 | 1 | yes | characteristic |
| 66 | #4964 | C22 | 1 | 2 | yes | — |
| 67 | #4964 | C22 | 1 | 2 | yes | — |
| 68 | C4×#208 | C22 | 1 | 1 | yes | characteristic |
| 69 | #4871 | C22 | 1 | 4 | yes | — |
| 70 | #4870 | C22 | 1 | 4 | yes | — |
| 71 | #4858 | C22 | 1 | 4 | yes | — |
| 72 | #4857 | C22 | 1 | 4 | yes | — |
| 73 | #4856 | C22 | 1 | 4 | yes | — |
| 74 | #4856 | C22 | 1 | 4 | yes | — |
| 75 | #4855 | C22 | 1 | 4 | yes | — |
| 76 | #4854 | C22 | 1 | 4 | yes | — |
| 77 | #4851 | C22 | 1 | 1 | yes | characteristic |
| 78 | #4850 | C22 | 1 | 1 | yes | characteristic |
| 79 | #4847 | C22 | 1 | 2 | yes | — |
| 80 | #4846 | C22 | 1 | 1 | yes | characteristic |
| 81 | #4842 | C22 | 1 | 1 | yes | characteristic |
| 82 | #4831 | C22 | 1 | 2 | yes | — |
| 83 | #4830 | C22 | 1 | 2 | yes | — |
| 84 | #4829 | C22 | 1 | 2 | yes | — |
| 85 | #4828 | C22 | 1 | 4 | yes | — |
| 86 | #4817 | C22 | 1 | 4 | yes | — |
| 87 | #4799 | C22 | 1 | 4 | yes | — |
| 88 | #4796 | C22 | 1 | 4 | yes | — |
| 89 | #4793 | C22 | 1 | 4 | yes | — |
| 90 | #4791 | C22 | 1 | 4 | yes | — |
| 91 | #4790 | C22 | 1 | 4 | yes | — |
| 92 | #4789 | C22 | 1 | 4 | yes | — |
| 93 | #4788 | C22 | 1 | 4 | yes | — |
| 94 | #3503 | — | 3 | 1 | no | — |
| 95 | #3502 | — | 3 | 1 | no | — |
| 96 | #3388 | — | 3 | 4 | no | — |
| 97 | #3387 | — | 3 | 4 | no | — |
| 98 | #3387 | — | 3 | 2 | no | — |
| 99 | #3386 | — | 3 | 2 | no | — |
| 100 | #3383 | — | 3 | 2 | no | — |
| 101 | Q8×SD16 | — | 3 | 2 | no | — |
| 102 | #3165 | — | 3 | 1 | no | — |
| 103 | #3163 | — | 3 | 2 | no | — |
| 104 | #3084 | — | 3 | 2 | no | — |
| 105 | #3082 | — | 3 | 2 | no | — |
| 106 | #3076 | — | 3 | 1 | no | — |
| 107 | C2×#475 | D3 | 1 | 1 | yes | characteristic, complemented |
| 108 | #2962 | — | 3 | 1 | no | — |
| 109 | #2947 | — | 3 | 2 | no | — |
| 110 | C4×#137 | — | 3 | 1 | no | — |
| 111 | C22×C3×Q8 | — | 2 | 1 | no | — |
| 112 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 113 | C2×D3×Q8 | — | 2 | 2 | no | — |
| 114 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 115 | C22×C3×C8 | C23 | 1 | 2 | yes | — |
| 116 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 117 | C3×C4⋊Q8 | — | 2 | 1 | no | — |
| 118 | C3×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 119 | C3×C4⋊Q8 | C23 | 1 | 2 | yes | — |
| 120 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 121 | C3×C4×Q8 | — | 2 | 1 | no | — |
| 122 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 123 | C3×C4×Q8 | C23 | 1 | 2 | yes | — |
| 124 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 125 | C2×C3×C4⋊C4 | — | 2 | 1 | no | — |
| 126 | C2×C3×C4⋊C4 | C23 | 1 | 2 | yes | — |
| 127 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 128 | C2×C3×C42 | — | 2 | 1 | no | — |
| 129 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 130 | #946 | — | 2 | 2 | no | — |
| 131 | #946 | — | 2 | 4 | no | — |
| 132 | Q8×Dic3 | — | 2 | 2 | no | — |
| 133 | Q8×Dic3 | — | 2 | 2 | no | — |
| 134 | Q8×Dic3 | — | 2 | 2 | no | — |
| 135 | Q8×Dic3 | C23 | 1 | 4 | yes | — |
| 136 | Q8×Dic3 | C23 | 1 | 4 | yes | — |
| 137 | #944 | — | 2 | 2 | no | — |
| 138 | #944 | — | 2 | 4 | no | — |
| 139 | C2×#216 | C23 | 1 | 2 | yes | — |
| 140 | #942 | Q8 | 1 | 8 | yes | complemented |
| 141 | C2×#215 | C23 | 1 | 2 | yes | — |
| 142 | C4×#67 | — | 2 | 1 | no | — |
| 143 | C4×#67 | — | 2 | 1 | no | — |
| 144 | C4×#67 | — | 2 | 4 | no | — |
| 145 | #926 | — | 2 | 4 | no | — |
| 146 | #926 | C23 | 1 | 2 | yes | — |
| 147 | #926 | C23 | 1 | 1 | yes | characteristic |
| 148 | #926 | C23 | 1 | 2 | yes | — |
| 149 | #924 | — | 2 | 1 | no | — |
| 150 | #924 | — | 2 | 1 | no | — |
| 151 | #924 | — | 2 | 4 | no | — |
| 152 | #924 | — | 2 | 4 | no | — |
| 153 | #924 | D4 | 1 | 2 | yes | — |
| 154 | #924 | D4 | 1 | 2 | yes | — |
| 155 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 156 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 157 | #897 | — | 2 | 2 | no | — |
| 158 | #896 | — | 2 | 4 | no | — |
| 159 | #893 | C23 | 1 | 4 | yes | — |
| 160 | #892 | — | 2 | 2 | no | — |
| 161 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 162 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 163 | #890 | — | 2 | 2 | no | — |
| 164 | #890 | — | 2 | 4 | no | — |
| 165 | #890 | — | 2 | 2 | no | — |
| 166 | #890 | — | 2 | 4 | no | — |
| 167 | #890 | C23 | 1 | 4 | yes | — |
| 168 | #890 | C23 | 1 | 4 | yes | — |
| 169 | #889 | — | 2 | 4 | no | — |
| 170 | #888 | — | 2 | 4 | no | — |
| 171 | #888 | — | 2 | 2 | no | — |
| 172 | #888 | — | 2 | 2 | no | — |
| 173 | #888 | — | 2 | 2 | no | — |
| 174 | #888 | — | 2 | 4 | no | — |
| 175 | #888 | C23 | 1 | 4 | yes | — |
| 176 | #888 | C23 | 1 | 4 | yes | — |
| 177 | #887 | — | 2 | 2 | no | — |
| 178 | #887 | C23 | 1 | 4 | yes | — |
| 179 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 180 | C4×D12 | C23 | 1 | 1 | yes | characteristic |
| 181 | #872 | — | 2 | 1 | no | — |
| 182 | C42×D3 | — | 2 | 1 | no | — |
| 183 | #870 | — | 2 | 4 | no | — |
| 184 | #870 | D4 | 1 | 2 | yes | — |
| 185 | #870 | C23 | 1 | 2 | yes | — |
| 186 | #869 | — | 2 | 2 | no | — |
| 187 | #869 | — | 2 | 2 | no | — |
| 188 | #869 | D4 | 1 | 1 | yes | characteristic |
| 189 | #869 | D4 | 1 | 1 | yes | characteristic |
| 190 | #869 | C23 | 1 | 1 | yes | characteristic |
| 191 | #869 | C23 | 1 | 1 | yes | characteristic |
| 192 | C4×Dic6 | — | 2 | 2 | no | — |
| 193 | C4×Dic6 | — | 2 | 1 | no | — |
| 194 | C4×Dic6 | — | 2 | 1 | no | — |
| 195 | C4×Dic6 | — | 2 | 2 | no | — |
| 196 | C4×Dic6 | — | 2 | 4 | no | — |
| 197 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 198 | C4×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 199 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 200 | C4×Dic6 | C23 | 1 | 2 | yes | — |
| 201 | C3×#106 | C23 | 1 | 4 | yes | — |
| 202 | C3×#106 | C23 | 1 | 4 | yes | — |
| 203 | C3×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 204 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 205 | C3×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 206 | C3×#103 | C23 | 1 | 4 | yes | — |
| 207 | C3×#103 | C23 | 1 | 4 | yes | — |
| 208 | #835 | C23 | 1 | 2 | yes | — |
| 209 | #835 | C23 | 1 | 2 | yes | — |
| 210 | #821 | C23 | 1 | 2 | yes | — |
| 211 | #821 | C23 | 1 | 2 | yes | — |
| 212 | #818 | C23 | 1 | 2 | yes | — |
| 213 | #818 | C23 | 1 | 2 | yes | — |
| 214 | #817 | C23 | 1 | 2 | yes | — |
| 215 | #817 | C23 | 1 | 2 | yes | — |
| 216 | #816 | C23 | 1 | 2 | yes | — |
| 217 | #816 | C23 | 1 | 2 | yes | — |
| 218 | #815 | C23 | 1 | 4 | yes | — |
| 219 | Dic3⋊C8 | C23 | 1 | 4 | yes | — |
| 220 | Dic3⋊C8 | C23 | 1 | 4 | yes | — |
| 221 | C8×Dic3 | C23 | 1 | 4 | yes | — |
| 222 | #810 | C23 | 1 | 2 | yes | — |
| 223 | #809 | C23 | 1 | 2 | yes | — |
| 224 | #808 | C23 | 1 | 4 | yes | — |
| 225 | #808 | C23 | 1 | 2 | yes | — |
| 226 | #808 | C23 | 1 | 4 | yes | — |
| 227 | #807 | C23 | 1 | 4 | yes | — |
| 228 | #807 | C23 | 1 | 2 | yes | — |
| 229 | #807 | C23 | 1 | 4 | yes | — |
| 230 | #803 | C23 | 1 | 2 | yes | — |
| 231 | C4×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 232 | C2×#137 | — | 3 | 1 | no | — |
| 233 | Q82 | — | 3 | 2 | no | — |
| 234 | Q82 | — | 3 | 2 | no | — |
| 235 | Q82 | — | 6 | 1 | no | — |
| 236 | #557 | — | 3 | 2 | no | — |
| 237 | #557 | — | 3 | 2 | no | — |
| 238 | #557 | — | 3 | 4 | no | — |
| 239 | #557 | — | 6 | 2 | no | — |
| 240 | #557 | — | 6 | 1 | no | — |
| 241 | #554 | — | 3 | 2 | no | — |
| 242 | #554 | — | 6 | 2 | no | — |
| 243 | D4×Q8 | — | 3 | 2 | no | — |
| 244 | D4×Q8 | — | 6 | 2 | no | — |
| 245 | #544 | — | 3 | 2 | no | — |
| 246 | #544 | — | 3 | 2 | no | — |
| 247 | #544 | — | 6 | 2 | no | — |
| 248 | #544 | — | 6 | 2 | no | — |
| 249 | #533 | — | 3 | 1 | no | — |
| 250 | #533 | — | 3 | 1 | no | — |
| 251 | #533 | — | 6 | 2 | no | — |
| 252 | #533 | — | 6 | 1 | no | — |
| 253 | C2×C4⋊Q8 | — | 6 | 1 | no | — |
| 254 | C2×C4⋊Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 255 | #520 | — | 3 | 2 | no | — |
| 256 | #519 | — | 3 | 2 | no | — |
| 257 | C4×#41 | — | 3 | 1 | no | — |
| 258 | C2×C4×Q8 | C2×D3 | 1 | 1 | yes | characteristic |
| 259 | #501 | — | 3 | 4 | no | — |
| 260 | #501 | — | 3 | 4 | no | — |
| 261 | #501 | — | 3 | 4 | no | — |
| 262 | #500 | — | 3 | 2 | no | — |
| 263 | #499 | — | 3 | 4 | no | — |
| 264 | #498 | — | 3 | 2 | no | — |
| 265 | #498 | — | 3 | 4 | no | — |
| 266 | #479 | — | 3 | 4 | no | — |
| 267 | #479 | — | 3 | 2 | no | — |
| 268 | #479 | — | 3 | 4 | no | — |
| 269 | #479 | — | 3 | 4 | no | — |
| 270 | #478 | — | 3 | 4 | no | — |
| 271 | #478 | — | 3 | 2 | no | — |
| 272 | #477 | — | 3 | 1 | no | — |
| 273 | #477 | — | 3 | 4 | no | — |
| 274 | #476 | — | 3 | 4 | no | — |
| 275 | #476 | — | 3 | 1 | no | — |
| 276 | #475 | — | 3 | 4 | no | — |
| 277 | #475 | — | 3 | 1 | no | — |
| 278 | #475 | — | 3 | 4 | no | — |
| 279 | #475 | C2×D3 | 1 | 2 | yes | — |
| 280 | #475 | C2×D3 | 1 | 2 | yes | — |
| 281 | #475 | C2×D3 | 1 | 4 | yes | — |
| 282 | #474 | — | 3 | 1 | no | — |
| 283 | #446 | — | 3 | 2 | no | — |
| 284 | #446 | — | 3 | 4 | no | — |
| 285 | C8×Q8 | — | 3 | 2 | no | — |
| 286 | #441 | — | 3 | 2 | no | — |
| 287 | #441 | — | 3 | 4 | no | — |
| 288 | #440 | — | 3 | 2 | no | — |
| 289 | #440 | — | 3 | 4 | no | — |
| 290 | C4×Q16 | — | 3 | 2 | no | — |
| 291 | C4×Q16 | — | 3 | 4 | no | — |
| 292 | C4×SD16 | — | 3 | 2 | no | — |
| 293 | C4×SD16 | — | 3 | 4 | no | — |
| 294 | #428 | — | 3 | 2 | no | — |
| 295 | #428 | — | 3 | 1 | no | — |
| 296 | #428 | — | 3 | 2 | no | — |
| 297 | #427 | — | 3 | 2 | no | — |
| 298 | C2×#106 | C2×D3 | 1 | 2 | yes | — |
| 299 | #424 | — | 3 | 2 | no | — |
| 300 | C2×C4⋊C8 | C2×D3 | 1 | 1 | yes | characteristic |
| 301 | #419 | — | 3 | 1 | no | — |
| 302 | #417 | — | 3 | 1 | no | — |
| 303 | #416 | — | 3 | 2 | no | — |
| 304 | C2×#103 | C2×D3 | 1 | 2 | yes | — |
| 305 | #405 | — | 3 | 2 | no | — |
| 306 | C4×M16 | — | 3 | 1 | no | — |
| 307 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 308 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 309 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 310 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 311 | C2×C3×Q8 | — | 8 | 2 | no | — |
| 312 | C2×C3×Q8 | C2×Q8 | 1 | 4 | yes | complemented |
| 313 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 314 | C22×C3×C4 | — | 2 | 1 | no | — |
| 315 | C22×C3×C4 | — | 2 | 1 | no | — |
| 316 | C22×C3×C4 | — | 2 | 2 | no | — |
| 317 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 318 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 319 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 320 | C2×#67 | — | 2 | 1 | no | — |
| 321 | D3×Q8 | — | 8 | 4 | no | — |
| 322 | #235 | — | 2 | 2 | no | — |
| 323 | #235 | C2×Q8 | 1 | 4 | yes | — |
| 324 | C2×D12 | C24 | 1 | 1 | yes | characteristic |
| 325 | C2×C4×D3 | — | 2 | 1 | no | — |
| 326 | C2×C4×D3 | — | 2 | 1 | no | — |
| 327 | C2×C4×D3 | — | 2 | 1 | no | — |
| 328 | C2×C4×D3 | — | 2 | 4 | no | — |
| 329 | C2×Dic6 | — | 2 | 1 | no | — |
| 330 | C2×Dic6 | — | 2 | 1 | no | — |
| 331 | C2×Dic6 | — | 2 | 4 | no | — |
| 332 | C2×Dic6 | — | 2 | 4 | no | — |
| 333 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 334 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 335 | C2×Dic6 | C24 | 1 | 1 | yes | characteristic |
| 336 | C2×C3×C8 | — | 2 | 4 | no | — |
| 337 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 338 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 339 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 340 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 341 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 342 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 343 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 344 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 345 | C3×C4⋊C4 | C24 | 1 | 4 | yes | — |
| 346 | C3×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 347 | C3×C42 | — | 2 | 2 | no | — |
| 348 | C3×C42 | — | 2 | 2 | no | — |
| 349 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 350 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 351 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 352 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 353 | #217 | — | 2 | 2 | no | — |
| 354 | #217 | — | 2 | 1 | no | — |
| 355 | #217 | C2×D4 | 1 | 4 | yes | — |
| 356 | #216 | C2×Q8 | 1 | 8 | yes | complemented |
| 357 | #215 | C2×Q8 | 1 | 8 | yes | complemented |
| 358 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 359 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 360 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 361 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 362 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 363 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 364 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 365 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 366 | C4⋊Dic3 | — | 2 | 4 | no | — |
| 367 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 368 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 369 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 370 | C4⋊Dic3 | C2×D4 | 1 | 2 | yes | — |
| 371 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 372 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 373 | C4⋊Dic3 | C24 | 1 | 2 | yes | — |
| 374 | C4⋊Dic3 | C24 | 1 | 1 | yes | characteristic |
| 375 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 376 | Dic3⋊C4 | — | 2 | 2 | no | — |
| 377 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 378 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 379 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 380 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 381 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 382 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 383 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 384 | Dic3⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 385 | Dic3⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 386 | C4×Dic3 | — | 2 | 2 | no | — |
| 387 | C4×Dic3 | — | 2 | 1 | no | — |
| 388 | C4×Dic3 | — | 2 | 1 | no | — |
| 389 | C4×Dic3 | — | 2 | 1 | no | — |
| 390 | C4×Dic3 | — | 2 | 4 | no | — |
| 391 | C4×Dic3 | — | 2 | 4 | no | — |
| 392 | C4×Dic3 | — | 2 | 4 | no | — |
| 393 | C4×Dic3 | C24 | 1 | 4 | yes | — |
| 394 | #208 | — | 2 | 2 | no | — |
| 395 | #208 | C2×Q8 | 1 | 4 | yes | complemented |
| 396 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 397 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 398 | C2×#41 | — | 3 | 1 | no | — |
| 399 | C22×Q8 | — | 2 | 1 | no | — |
| 400 | C22×Q8 | — | 6 | 2 | no | — |
| 401 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 402 | #137 | — | 3 | 8 | no | — |
| 403 | C2×Q16 | — | 3 | 2 | no | — |
| 404 | C2×SD16 | — | 3 | 2 | no | — |
| 405 | C2×M16 | — | 3 | 1 | no | — |
| 406 | C2×M16 | — | 3 | 1 | no | — |
| 407 | C22×C8 | C22×D3 | 1 | 2 | yes | — |
| 408 | C4⋊Q8 | — | 2 | 1 | no | — |
| 409 | C4⋊Q8 | — | 2 | 1 | no | — |
| 410 | C4⋊Q8 | — | 3 | 4 | no | — |
| 411 | C4⋊Q8 | — | 3 | 4 | no | — |
| 412 | C4⋊Q8 | — | 3 | 1 | no | — |
| 413 | C4⋊Q8 | — | 3 | 1 | no | — |
| 414 | C4⋊Q8 | — | 3 | 1 | no | — |
| 415 | C4⋊Q8 | — | 3 | 1 | no | — |
| 416 | C4⋊Q8 | — | 6 | 2 | no | — |
| 417 | C4⋊Q8 | — | 6 | 2 | no | — |
| 418 | C4⋊Q8 | — | 6 | 2 | no | — |
| 419 | C4⋊Q8 | — | 6 | 2 | no | — |
| 420 | C4⋊Q8 | — | 6 | 2 | no | — |
| 421 | C4⋊Q8 | — | 6 | 4 | no | — |
| 422 | C4⋊Q8 | — | 6 | 4 | no | — |
| 423 | C4⋊Q8 | — | 6 | 4 | no | — |
| 424 | C4⋊Q8 | — | 6 | 2 | no | — |
| 425 | C4⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 426 | C4⋊Q8 | C22×D3 | 1 | 2 | yes | — |
| 427 | #125 | — | 3 | 4 | no | — |
| 428 | #125 | — | 3 | 4 | no | — |
| 429 | #125 | — | 3 | 2 | no | — |
| 430 | #125 | — | 3 | 2 | no | — |
| 431 | #125 | — | 6 | 4 | no | — |
| 432 | #125 | — | 6 | 2 | no | — |
| 433 | #125 | — | 6 | 2 | no | — |
| 434 | #125 | — | 6 | 4 | no | — |
| 435 | #125 | — | 6 | 4 | no | — |
| 436 | #125 | — | 6 | 4 | no | — |
| 437 | C22⋊Q8 | — | 3 | 2 | no | — |
| 438 | C22⋊Q8 | — | 3 | 2 | no | — |
| 439 | C22⋊Q8 | — | 6 | 4 | no | — |
| 440 | C22⋊Q8 | — | 6 | 4 | no | — |
| 441 | C22⋊Q8 | — | 6 | 4 | no | — |
| 442 | C22⋊Q8 | — | 6 | 2 | no | — |
| 443 | C22⋊Q8 | — | 6 | 2 | no | — |
| 444 | C22⋊Q8 | — | 6 | 4 | no | — |
| 445 | C22⋊Q8 | — | 6 | 1 | no | — |
| 446 | C22⋊Q8 | — | 6 | 1 | no | — |
| 447 | C4×Q8 | — | 2 | 1 | no | — |
| 448 | C4×Q8 | — | 2 | 1 | no | — |
| 449 | C4×Q8 | — | 3 | 2 | no | — |
| 450 | C4×Q8 | — | 3 | 2 | no | — |
| 451 | C4×Q8 | — | 3 | 4 | no | — |
| 452 | C4×Q8 | — | 3 | 4 | no | — |
| 453 | C4×Q8 | — | 3 | 4 | no | — |
| 454 | C4×Q8 | — | 3 | 1 | no | — |
| 455 | C4×Q8 | — | 3 | 1 | no | — |
| 456 | C4×Q8 | — | 6 | 4 | no | — |
| 457 | C4×Q8 | — | 6 | 2 | no | — |
| 458 | C4×Q8 | — | 6 | 2 | no | — |
| 459 | C4×Q8 | — | 6 | 2 | no | — |
| 460 | C4×Q8 | — | 6 | 2 | no | — |
| 461 | C4×Q8 | — | 6 | 2 | no | — |
| 462 | C4×Q8 | — | 6 | 2 | no | — |
| 463 | C4×Q8 | — | 6 | 1 | no | — |
| 464 | C4×Q8 | — | 6 | 1 | no | — |
| 465 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 466 | C4×Q8 | C22×D3 | 1 | 2 | yes | — |
| 467 | C4×D4 | — | 3 | 4 | no | — |
| 468 | C4×D4 | — | 3 | 1 | no | — |
| 469 | C4×D4 | — | 3 | 1 | no | — |
| 470 | C4×D4 | — | 6 | 4 | no | — |
| 471 | C4×D4 | — | 6 | 1 | no | — |
| 472 | C4×D4 | — | 6 | 1 | no | — |
| 473 | #117 | — | 3 | 2 | no | — |
| 474 | #117 | — | 3 | 1 | no | — |
| 475 | #117 | — | 3 | 2 | no | — |
| 476 | #117 | — | 6 | 4 | no | — |
| 477 | #117 | — | 6 | 2 | no | — |
| 478 | #117 | — | 6 | 1 | no | — |
| 479 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 480 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 481 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 482 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 483 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 484 | C2×C4⋊C4 | C22×D3 | 1 | 2 | yes | — |
| 485 | C2×C42 | — | 2 | 1 | no | — |
| 486 | C2×C42 | — | 6 | 1 | no | — |
| 487 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 488 | #107 | — | 3 | 2 | no | — |
| 489 | #107 | — | 3 | 2 | no | — |
| 490 | #107 | — | 3 | 2 | no | — |
| 491 | #107 | — | 3 | 4 | no | — |
| 492 | #107 | — | 3 | 4 | no | — |
| 493 | #106 | — | 3 | 2 | no | — |
| 494 | #106 | — | 3 | 2 | no | — |
| 495 | #106 | — | 3 | 4 | no | — |
| 496 | #106 | — | 3 | 2 | no | — |
| 497 | #106 | — | 3 | 4 | no | — |
| 498 | #106 | C22×D3 | 1 | 4 | yes | — |
| 499 | #106 | C22×D3 | 1 | 4 | yes | — |
| 500 | C4⋊C8 | — | 3 | 4 | no | — |
| 501 | C4⋊C8 | — | 3 | 4 | no | — |
| 502 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 503 | C4⋊C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 504 | C4⋊C8 | C22×D3 | 1 | 2 | yes | — |
| 505 | #103 | — | 3 | 2 | no | — |
| 506 | #103 | — | 3 | 2 | no | — |
| 507 | #103 | — | 3 | 2 | no | — |
| 508 | #103 | — | 3 | 2 | no | — |
| 509 | #103 | — | 3 | 2 | no | — |
| 510 | #103 | C22×D3 | 1 | 4 | yes | — |
| 511 | #103 | C22×D3 | 1 | 4 | yes | — |
| 512 | #102 | — | 3 | 2 | no | — |
| 513 | #102 | — | 3 | 2 | no | — |
| 514 | #102 | — | 3 | 2 | no | — |
| 515 | #97 | — | 3 | 4 | no | — |
| 516 | #97 | — | 3 | 2 | no | — |
| 517 | C4×C8 | — | 3 | 4 | no | — |
| 518 | C4×C8 | — | 3 | 2 | no | — |
| 519 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 520 | C22×D3 | — | 2 | 1 | no | — |
| 521 | C3×Q8 | — | 2 | 4 | no | — |
| 522 | C3×Q8 | — | 2 | 2 | no | — |
| 523 | C3×Q8 | — | 4 | 4 | no | — |
| 524 | C3×Q8 | — | 8 | 2 | no | — |
| 525 | C3×Q8 | C22×Q8 | 1 | 4 | yes | — |
| 526 | C2×C3×C4 | — | 2 | 4 | no | — |
| 527 | C2×C3×C4 | — | 2 | 2 | no | — |
| 528 | C2×C3×C4 | — | 2 | 2 | no | — |
| 529 | C2×C3×C4 | — | 2 | 4 | no | — |
| 530 | C2×C3×C4 | — | 2 | 2 | no | — |
| 531 | C2×C3×C4 | — | 4 | 1 | no | — |
| 532 | C2×C3×C4 | — | 8 | 1 | no | — |
| 533 | C2×C3×C4 | — | 8 | 2 | no | — |
| 534 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 535 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 536 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 537 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 538 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 539 | C2×C3×C4 | C22×Q8 | 1 | 2 | yes | — |
| 540 | C2×C3×C4 | 2−1+4 | 1 | 2 | yes | — |
| 541 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 542 | #67 | — | 2 | 4 | no | — |
| 543 | C2×Dic3 | — | 2 | 1 | no | — |
| 544 | C2×Dic3 | — | 2 | 2 | no | — |
| 545 | C2×Dic3 | — | 2 | 2 | no | — |
| 546 | C2×Dic3 | — | 2 | 1 | no | — |
| 547 | C2×Dic3 | — | 2 | 1 | no | — |
| 548 | C2×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 549 | C2×Dic3 | C22×D4 | 1 | 4 | yes | — |
| 550 | D12 | — | 2 | 1 | no | — |
| 551 | D12 | C22×Q8 | 1 | 2 | yes | — |
| 552 | C4×D3 | — | 2 | 4 | no | — |
| 553 | C4×D3 | — | 4 | 2 | no | — |
| 554 | C4×D3 | — | 4 | 2 | no | — |
| 555 | C4×D3 | — | 8 | 4 | no | — |
| 556 | Dic6 | — | 2 | 4 | no | — |
| 557 | Dic6 | — | 2 | 1 | no | — |
| 558 | Dic6 | — | 4 | 2 | no | — |
| 559 | Dic6 | — | 4 | 2 | no | — |
| 560 | Dic6 | — | 8 | 4 | no | — |
| 561 | Dic6 | — | 8 | 4 | no | — |
| 562 | Dic6 | — | 8 | 1 | no | — |
| 563 | Dic6 | C22×Q8 | 1 | 2 | yes | — |
| 564 | C3×C8 | — | 2 | 2 | no | — |
| 565 | C3×C8 | — | 2 | 2 | no | — |
| 566 | C3⋊C8 | — | 2 | 2 | no | — |
| 567 | C3⋊C8 | C22×Q8 | 1 | 4 | yes | — |
| 568 | #41 | — | 3 | 4 | no | — |
| 569 | #41 | — | 6 | 2 | no | — |
| 570 | C2×Q8 | — | 2 | 1 | no | — |
| 571 | C2×Q8 | — | 2 | 2 | no | — |
| 572 | C2×Q8 | — | 2 | 2 | no | — |
| 573 | C2×Q8 | — | 2 | 2 | no | — |
| 574 | C2×Q8 | — | 3 | 2 | no | — |
| 575 | C2×Q8 | — | 3 | 2 | no | — |
| 576 | C2×Q8 | — | 3 | 1 | no | — |
| 577 | C2×Q8 | — | 6 | 4 | no | — |
| 578 | C2×Q8 | — | 6 | 4 | no | — |
| 579 | C2×Q8 | — | 6 | 1 | no | — |
| 580 | C2×Q8 | — | 6 | 1 | no | — |
| 581 | C2×Q8 | — | 8 | 2 | no | — |
| 582 | C2×Q8 | — | 24 | 4 | no | — |
| 583 | C2×Q8 | D3×Q8 | 1 | 4 | yes | complemented |
| 584 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 585 | C2×D4 | — | 3 | 1 | no | — |
| 586 | C2×D4 | — | 6 | 1 | no | — |
| 587 | C22×C4 | — | 2 | 1 | no | — |
| 588 | C22×C4 | — | 2 | 1 | no | — |
| 589 | C22×C4 | — | 2 | 2 | no | — |
| 590 | C22×C4 | — | 6 | 4 | no | — |
| 591 | C22×C4 | — | 6 | 1 | no | — |
| 592 | C22×C4 | — | 6 | 1 | no | — |
| 593 | C22×C4 | — | 6 | 1 | no | — |
| 594 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 595 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 596 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 597 | Q16 | — | 3 | 8 | no | — |
| 598 | SD16 | — | 3 | 8 | no | — |
| 599 | M16 | — | 3 | 4 | no | — |
| 600 | M16 | — | 6 | 2 | no | — |
| 601 | C2×C8 | — | 2 | 4 | no | — |
| 602 | C2×C8 | — | 3 | 2 | no | — |
| 603 | C2×C8 | — | 3 | 2 | no | — |
| 604 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 605 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 606 | C4⋊C4 | — | 2 | 2 | no | — |
| 607 | C4⋊C4 | — | 2 | 2 | no | — |
| 608 | C4⋊C4 | — | 2 | 2 | no | — |
| 609 | C4⋊C4 | — | 2 | 2 | no | — |
| 610 | C4⋊C4 | — | 2 | 2 | no | — |
| 611 | C4⋊C4 | — | 2 | 1 | no | — |
| 612 | C4⋊C4 | — | 3 | 2 | no | — |
| 613 | C4⋊C4 | — | 3 | 2 | no | — |
| 614 | C4⋊C4 | — | 3 | 2 | no | — |
| 615 | C4⋊C4 | — | 3 | 2 | no | — |
| 616 | C4⋊C4 | — | 3 | 4 | no | — |
| 617 | C4⋊C4 | — | 3 | 4 | no | — |
| 618 | C4⋊C4 | — | 3 | 2 | no | — |
| 619 | C4⋊C4 | — | 3 | 2 | no | — |
| 620 | C4⋊C4 | — | 3 | 1 | no | — |
| 621 | C4⋊C4 | — | 3 | 1 | no | — |
| 622 | C4⋊C4 | — | 6 | 4 | no | — |
| 623 | C4⋊C4 | — | 6 | 4 | no | — |
| 624 | C4⋊C4 | — | 6 | 4 | no | — |
| 625 | C4⋊C4 | — | 6 | 4 | no | — |
| 626 | C4⋊C4 | — | 6 | 4 | no | — |
| 627 | C4⋊C4 | — | 6 | 4 | no | — |
| 628 | C4⋊C4 | — | 6 | 4 | no | — |
| 629 | C4⋊C4 | — | 6 | 4 | no | — |
| 630 | C4⋊C4 | — | 6 | 4 | no | — |
| 631 | C4⋊C4 | — | 6 | 1 | no | — |
| 632 | C4⋊C4 | — | 6 | 1 | no | — |
| 633 | C4⋊C4 | — | 6 | 2 | no | — |
| 634 | C4⋊C4 | — | 6 | 1 | no | — |
| 635 | C4⋊C4 | — | 6 | 2 | no | — |
| 636 | C4⋊C4 | — | 6 | 1 | no | — |
| 637 | C4⋊C4 | C23×D3 | 1 | 2 | yes | — |
| 638 | C4⋊C4 | C23×D3 | 1 | 4 | yes | — |
| 639 | C22⋊C4 | — | 3 | 4 | no | — |
| 640 | C22⋊C4 | — | 6 | 4 | no | — |
| 641 | C22⋊C4 | — | 6 | 2 | no | — |
| 642 | C22⋊C4 | — | 6 | 1 | no | — |
| 643 | C22⋊C4 | — | 6 | 1 | no | — |
| 644 | C22⋊C4 | — | 6 | 1 | no | — |
| 645 | C42 | — | 2 | 2 | no | — |
| 646 | C42 | — | 2 | 2 | no | — |
| 647 | C42 | — | 3 | 4 | no | — |
| 648 | C42 | — | 6 | 4 | no | — |
| 649 | C42 | — | 6 | 4 | no | — |
| 650 | C42 | — | 6 | 4 | no | — |
| 651 | C42 | — | 6 | 1 | no | — |
| 652 | C42 | — | 6 | 1 | no | — |
| 653 | C42 | — | 6 | 1 | no | — |
| 654 | C42 | — | 6 | 2 | no | — |
| 655 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 656 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 657 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 658 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 659 | C22×C3 | — | 2 | 1 | no | — |
| 660 | C22×C3 | — | 2 | 1 | no | — |
| 661 | C22×C3 | D4×Q8 | 1 | 2 | yes | — |
| 662 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 663 | C2×D3 | — | 2 | 2 | no | — |
| 664 | C2×D3 | — | 4 | 1 | no | — |
| 665 | C2×D3 | — | 4 | 1 | no | — |
| 666 | C3×C4 | — | 2 | 1 | no | — |
| 667 | C3×C4 | — | 2 | 1 | no | — |
| 668 | C3×C4 | — | 2 | 4 | no | — |
| 669 | C3×C4 | — | 2 | 1 | no | — |
| 670 | C3×C4 | — | 4 | 2 | no | — |
| 671 | C3×C4 | — | 4 | 4 | no | — |
| 672 | C3×C4 | D4×Q8 | 1 | 2 | yes | — |
| 673 | C3×C4 | #577 | 1 | 2 | yes | — |
| 674 | C3×C4 | C23×Q8 | 1 | 1 | yes | characteristic |
| 675 | C3×C4 | C2×2−1+4 | 1 | 1 | yes | characteristic |
| 676 | Dic3 | — | 2 | 4 | no | — |
| 677 | Dic3 | — | 2 | 2 | no | — |
| 678 | Dic3 | — | 2 | 4 | no | — |
| 679 | Dic3 | — | 4 | 2 | no | — |
| 680 | Dic3 | — | 4 | 1 | no | — |
| 681 | Dic3 | — | 4 | 2 | no | — |
| 682 | Dic3 | — | 4 | 1 | no | — |
| 683 | C23 | — | 6 | 1 | no | — |
| 684 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 685 | Q8 | — | 2 | 4 | no | — |
| 686 | Q8 | — | 2 | 2 | no | — |
| 687 | Q8 | — | 3 | 2 | no | — |
| 688 | Q8 | — | 4 | 4 | no | — |
| 689 | Q8 | — | 6 | 1 | no | — |
| 690 | Q8 | — | 6 | 4 | no | — |
| 691 | Q8 | — | 8 | 2 | no | — |
| 692 | Q8 | — | 12 | 2 | no | — |
| 693 | Q8 | — | 12 | 2 | no | — |
| 694 | Q8 | — | 24 | 1 | no | — |
| 695 | Q8 | — | 24 | 4 | no | — |
| 696 | Q8 | — | 24 | 4 | no | — |
| 697 | Q8 | C2×D3×Q8 | 1 | 4 | yes | — |
| 698 | D4 | — | 3 | 2 | no | — |
| 699 | D4 | — | 6 | 4 | no | — |
| 700 | D4 | — | 6 | 1 | no | — |
| 701 | C2×C4 | — | 2 | 4 | no | — |
| 702 | C2×C4 | — | 2 | 2 | no | — |
| 703 | C2×C4 | — | 2 | 2 | no | — |
| 704 | C2×C4 | — | 2 | 2 | no | — |
| 705 | C2×C4 | — | 2 | 4 | no | — |
| 706 | C2×C4 | — | 3 | 4 | no | — |
| 707 | C2×C4 | — | 3 | 4 | no | — |
| 708 | C2×C4 | — | 4 | 1 | no | — |
| 709 | C2×C4 | — | 6 | 1 | no | — |
| 710 | C2×C4 | — | 6 | 4 | no | — |
| 711 | C2×C4 | — | 6 | 2 | no | — |
| 712 | C2×C4 | — | 6 | 2 | no | — |
| 713 | C2×C4 | — | 6 | 1 | no | — |
| 714 | C2×C4 | — | 6 | 1 | no | — |
| 715 | C2×C4 | — | 8 | 2 | no | — |
| 716 | C2×C4 | — | 8 | 1 | no | — |
| 717 | C2×C4 | — | 12 | 2 | no | — |
| 718 | C2×C4 | — | 12 | 2 | no | — |
| 719 | C2×C4 | — | 24 | 4 | no | — |
| 720 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 721 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 722 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 723 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 724 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 725 | C2×C4 | C2×D3×Q8 | 1 | 2 | yes | — |
| 726 | C2×C4 | #1010 | 1 | 2 | yes | — |
| 727 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 728 | C8 | — | 2 | 2 | no | — |
| 729 | C8 | — | 2 | 2 | no | — |
| 730 | C8 | — | 3 | 4 | no | — |
| 731 | C8 | — | 6 | 2 | no | — |
| 732 | C2×C3 | — | 2 | 2 | no | — |
| 733 | C2×C3 | C2×D4×Q8 | 1 | 1 | yes | characteristic |
| 734 | C2×C3 | C2×#577 | 1 | 1 | yes | characteristic |
| 735 | C2×C3 | #3586 | 1 | 1 | yes | characteristic |
| 736 | D3 | — | 4 | 2 | no | — |
| 737 | C22 | — | 2 | 1 | no | — |
| 738 | C22 | — | 2 | 1 | no | — |
| 739 | C22 | — | 6 | 2 | no | — |
| 740 | C22 | — | 12 | 1 | no | — |
| 741 | C22 | — | 12 | 1 | no | — |
| 742 | C22 | #5632 | 1 | 2 | yes | — |
| 743 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 744 | C4 | — | 2 | 1 | no | — |
| 745 | C4 | — | 2 | 1 | no | — |
| 746 | C4 | — | 2 | 1 | no | — |
| 747 | C4 | — | 2 | 4 | no | — |
| 748 | C4 | — | 4 | 4 | no | — |
| 749 | C4 | — | 4 | 2 | no | — |
| 750 | C4 | — | 6 | 4 | no | — |
| 751 | C4 | — | 6 | 4 | no | — |
| 752 | C4 | — | 6 | 2 | no | — |
| 753 | C4 | — | 12 | 1 | no | — |
| 754 | C4 | — | 12 | 2 | no | — |
| 755 | C4 | — | 12 | 1 | no | — |
| 756 | C4 | — | 12 | 2 | no | — |
| 757 | C4 | #5632 | 1 | 2 | yes | — |
| 758 | C4 | #5762 | 1 | 2 | yes | — |
| 759 | C4 | C22×D3×Q8 | 1 | 1 | yes | characteristic |
| 760 | C4 | C2×#1010 | 1 | 1 | yes | characteristic |
| 761 | C3 | #61383 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 762 | C2 | — | 2 | 2 | no | — |
| 763 | C2 | — | 12 | 2 | no | — |
| 764 | C2 | C2×#5632 | 1 | 1 | yes | characteristic |
| 765 | C2 | C2×#5762 | 1 | 1 | yes | characteristic |
| 766 | C2 | #87197 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #85803 | C2 | semidirect |
| 3. C2×C3×#475 | C2 | semidirect |
| 4. #83207 | C2 | semidirect |
| 6. #81043 | C2 | semidirect |
| 7. #81040 | C2 | semidirect |
| 8. #81039 | C2 | semidirect |
| 9. #81008 | C2 | semidirect |
| 10. #81007 | C2 | semidirect |
| 11. #81006 | C2 | semidirect |
| 13. #79110 | C2 | semidirect |
| 15. #79008 | C2 | semidirect |
| 16. #78779 | C2 | semidirect |
| 107. C2×#475 | D3 | semidirect |
| 140. #942 | Q8 | semidirect |
| 312. C2×C3×Q8 | C2×Q8 | semidirect |
| 356. #216 | C2×Q8 | semidirect |
| 357. #215 | C2×Q8 | semidirect |
| 395. #208 | C2×Q8 | semidirect |
| 583. C2×Q8 | D3×Q8 | semidirect |
| 761. C3 | #61383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86215 | 2 |
| #85803 | 2 |
| C2×C3×#475 | 2 |
| #83207 | 2 |
| C4×#942 | 2 |
| #81043 | 2 |
| #81040 | 2 |
| #81039 | 2 |
| #81008 | 2 |
| #81007 | 2 |
| #81006 | 2 |
| #79130 | 2 |
| #79110 | 2 |
| #79025 | 2 |
| #79008 | 2 |
| #78779 | 2 |
| #78774 | 2 |
| #61383 | 3 |