Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
3114 conjugacy classes of subgroups.
The subgroup lattice has 800 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#5779 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#5771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#5766 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #86340 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | C3×#3156 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83972 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #83903 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | C2×#5183 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #83403 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #81873 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #81870 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #81824 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #81820 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #81801 | C2 | 1 | 2 | yes | maximal, complemented |
| 15 | D3×#494 | C2 | 1 | 2 | yes | maximal, complemented |
| 16 | #78576 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #78549 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #60648 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C2×#1010 | C22 | 1 | 2 | yes | — |
| 20 | C2×#1007 | C22 | 1 | 2 | yes | — |
| 21 | C2×C3×#137 | C22 | 1 | 2 | yes | — |
| 22 | C2×C3×#135 | C22 | 1 | 1 | yes | characteristic |
| 23 | C22×C3×Q16 | C22 | 1 | 1 | yes | characteristic |
| 24 | C3×#536 | C22 | 1 | 2 | yes | — |
| 25 | #5832 | C22 | 1 | 2 | yes | — |
| 26 | C2×#951 | C22 | 1 | 2 | yes | — |
| 27 | C2×#950 | C22 | 1 | 2 | yes | — |
| 28 | C2×#944 | C22 | 1 | 2 | yes | — |
| 29 | C22×#216 | C22 | 1 | 2 | yes | — |
| 30 | C2×#942 | C22 | 1 | 2 | yes | — |
| 31 | #5779 | — | 2 | 16 | no | — |
| 32 | #5771 | — | 2 | 8 | no | — |
| 33 | #5766 | — | 2 | 8 | no | — |
| 34 | C2×#919 | C22 | 1 | 2 | yes | — |
| 35 | C2×#918 | C22 | 1 | 4 | yes | — |
| 36 | C2×#918 | C22 | 1 | 4 | yes | — |
| 37 | C2×D3×Q16 | C22 | 1 | 2 | yes | — |
| 38 | C2×D3×Q16 | C22 | 1 | 2 | yes | — |
| 39 | C2×D3×Q16 | C22 | 1 | 4 | yes | — |
| 40 | C2×#916 | C22 | 1 | 4 | yes | — |
| 41 | C2×#915 | C22 | 1 | 4 | yes | — |
| 42 | C2×#915 | C22 | 1 | 4 | yes | — |
| 43 | C2×#912 | C22 | 1 | 2 | yes | — |
| 44 | C2×#909 | C22 | 1 | 2 | yes | — |
| 45 | C2×#907 | C22 | 1 | 1 | yes | characteristic |
| 46 | C22×Dic12 | C22 | 1 | 1 | yes | characteristic |
| 47 | C2×#904 | C22 | 1 | 1 | yes | characteristic |
| 48 | C2×#901 | C22 | 1 | 1 | yes | characteristic |
| 49 | #5724 | C22 | 1 | 4 | yes | — |
| 50 | D3×C4⋊Q8 | C22 | 1 | 4 | yes | — |
| 51 | #5675 | C22 | 1 | 4 | yes | — |
| 52 | #5668 | C22 | 1 | 4 | yes | — |
| 53 | #5655 | — | 2 | 8 | no | — |
| 54 | #5632 | — | 2 | 4 | no | — |
| 55 | #5631 | — | 2 | 4 | no | — |
| 56 | #5526 | C22 | 1 | 2 | yes | — |
| 57 | #5522 | C22 | 1 | 1 | yes | characteristic |
| 58 | C3×#497 | C22 | 1 | 4 | yes | — |
| 59 | C3×#495 | C22 | 1 | 2 | yes | — |
| 60 | C3×#494 | C22 | 1 | 2 | yes | — |
| 61 | C3×#405 | C22 | 1 | 1 | yes | characteristic |
| 62 | #5191 | C22 | 1 | 1 | yes | characteristic |
| 63 | #5190 | C22 | 1 | 4 | yes | — |
| 64 | #5183 | C22 | 1 | 4 | yes | — |
| 65 | #5183 | C22 | 1 | 1 | yes | characteristic |
| 66 | #5183 | C22 | 1 | 2 | yes | — |
| 67 | #5183 | C22 | 1 | 2 | yes | — |
| 68 | #5183 | C22 | 1 | 2 | yes | — |
| 69 | #5183 | C22 | 1 | 2 | yes | — |
| 70 | #5175 | C22 | 1 | 4 | yes | — |
| 71 | #5175 | C22 | 1 | 2 | yes | — |
| 72 | #5168 | C22 | 1 | 2 | yes | — |
| 73 | #5167 | C22 | 1 | 4 | yes | — |
| 74 | #5155 | C22 | 1 | 1 | yes | characteristic |
| 75 | #5151 | C22 | 1 | 1 | yes | characteristic |
| 76 | Dic3×M16 | C22 | 1 | 1 | yes | characteristic |
| 77 | C2×C8×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 78 | #5092 | C22 | 1 | 4 | yes | — |
| 79 | #5086 | C22 | 1 | 4 | yes | — |
| 80 | #5060 | C22 | 1 | 4 | yes | — |
| 81 | #5059 | C22 | 1 | 4 | yes | — |
| 82 | #4997 | C22 | 1 | 1 | yes | characteristic |
| 83 | #4715 | C22 | 1 | 4 | yes | — |
| 84 | #4708 | C22 | 1 | 2 | yes | — |
| 85 | #4707 | C22 | 1 | 2 | yes | — |
| 86 | #4699 | C22 | 1 | 2 | yes | — |
| 87 | #4696 | C22 | 1 | 2 | yes | — |
| 88 | #4689 | C22 | 1 | 2 | yes | — |
| 89 | C4×D3×C8 | C22 | 1 | 2 | yes | — |
| 90 | C2×#578 | — | 3 | 2 | no | — |
| 91 | C2×#578 | — | 3 | 1 | no | — |
| 92 | C2×#578 | — | 3 | 1 | no | — |
| 93 | #3499 | — | 3 | 2 | no | — |
| 94 | #3156 | — | 3 | 4 | no | — |
| 95 | #3156 | — | 3 | 2 | no | — |
| 96 | #3156 | — | 3 | 2 | no | — |
| 97 | #3156 | — | 3 | 1 | no | — |
| 98 | #3156 | — | 3 | 2 | no | — |
| 99 | #3156 | D3 | 1 | 1 | yes | characteristic, complemented |
| 100 | #3152 | — | 3 | 4 | no | — |
| 101 | #3152 | — | 3 | 2 | no | — |
| 102 | #3147 | — | 3 | 2 | no | — |
| 103 | #3147 | — | 3 | 1 | no | — |
| 104 | C2×#494 | — | 3 | 2 | no | — |
| 105 | C2×#494 | — | 3 | 1 | no | — |
| 106 | C4×#131 | — | 3 | 1 | no | — |
| 107 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 108 | C22×C3×Q8 | C23 | 1 | 2 | yes | — |
| 109 | #1010 | — | 2 | 8 | no | — |
| 110 | #1010 | — | 2 | 8 | no | — |
| 111 | #1007 | — | 2 | 8 | no | — |
| 112 | #1007 | — | 2 | 8 | no | — |
| 113 | C2×#239 | — | 2 | 2 | no | — |
| 114 | C2×#239 | C23 | 1 | 4 | yes | — |
| 115 | C2×D3×Q8 | — | 2 | 2 | no | — |
| 116 | C2×D3×Q8 | C23 | 1 | 4 | yes | — |
| 117 | C2×D3×Q8 | C23 | 1 | 4 | yes | — |
| 118 | C2×#237 | — | 2 | 4 | no | — |
| 119 | C2×#237 | C23 | 1 | 4 | yes | — |
| 120 | C2×#235 | — | 2 | 4 | no | — |
| 121 | C2×#235 | — | 2 | 2 | no | — |
| 122 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 123 | C2×#235 | C23 | 1 | 2 | yes | — |
| 124 | C22×Dic6 | — | 2 | 2 | no | — |
| 125 | C22×Dic6 | C23 | 1 | 2 | yes | — |
| 126 | C3×#137 | — | 2 | 8 | no | — |
| 127 | C3×#135 | — | 2 | 4 | no | — |
| 128 | C2×C3×Q16 | — | 2 | 4 | no | — |
| 129 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 130 | C2×C3×Q16 | C23 | 1 | 2 | yes | — |
| 131 | C2×C3×Q16 | C23 | 1 | 1 | yes | characteristic |
| 132 | C2×C3×Q16 | C23 | 1 | 4 | yes | — |
| 133 | C2×C3×SD16 | C23 | 1 | 2 | yes | — |
| 134 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 135 | C2×C3×D8 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 137 | C22×C3×C8 | C23 | 1 | 1 | yes | characteristic |
| 138 | C3×C4⋊Q8 | C23 | 1 | 4 | yes | — |
| 139 | C3×#124 | C23 | 1 | 4 | yes | — |
| 140 | C3×#123 | — | 2 | 4 | no | — |
| 141 | C3×C22⋊Q8 | — | 2 | 4 | no | — |
| 142 | C3×#117 | C23 | 1 | 1 | yes | characteristic |
| 143 | #951 | — | 2 | 8 | no | — |
| 144 | #950 | — | 2 | 8 | no | — |
| 145 | #947 | C23 | 1 | 2 | yes | — |
| 146 | #944 | — | 2 | 4 | no | — |
| 147 | #944 | C23 | 1 | 4 | yes | — |
| 148 | #944 | C23 | 1 | 4 | yes | — |
| 149 | #944 | C23 | 1 | 2 | yes | — |
| 150 | C2×#216 | — | 2 | 8 | no | — |
| 151 | C2×#216 | C23 | 1 | 4 | yes | — |
| 152 | C2×#216 | C23 | 1 | 2 | yes | — |
| 153 | C2×#216 | C23 | 1 | 4 | yes | — |
| 154 | C2×#216 | C23 | 1 | 4 | yes | — |
| 155 | C2×#216 | C23 | 1 | 4 | yes | — |
| 156 | #942 | — | 2 | 8 | no | — |
| 157 | C2×#215 | C23 | 1 | 4 | yes | — |
| 158 | C2×#215 | C23 | 1 | 2 | yes | — |
| 159 | #940 | C23 | 1 | 2 | yes | — |
| 160 | #939 | — | 2 | 4 | no | — |
| 161 | #936 | C23 | 1 | 2 | yes | — |
| 162 | C2×#214 | C23 | 1 | 2 | yes | — |
| 163 | C2×#214 | C23 | 1 | 4 | yes | — |
| 164 | C2×#213 | C23 | 1 | 2 | yes | — |
| 165 | C4×#67 | — | 2 | 4 | no | — |
| 166 | C2×Dic3⋊C4 | — | 2 | 4 | no | — |
| 167 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 168 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 169 | C22×C3⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 170 | #919 | — | 2 | 8 | no | — |
| 171 | #918 | — | 2 | 16 | no | — |
| 172 | #918 | — | 2 | 16 | no | — |
| 173 | D3×Q16 | — | 2 | 8 | no | — |
| 174 | D3×Q16 | — | 2 | 8 | no | — |
| 175 | D3×Q16 | — | 2 | 16 | no | — |
| 176 | #916 | — | 2 | 16 | no | — |
| 177 | #915 | — | 2 | 16 | no | — |
| 178 | #915 | — | 2 | 16 | no | — |
| 179 | #912 | — | 2 | 8 | no | — |
| 180 | #909 | — | 2 | 8 | no | — |
| 181 | #907 | D4 | 1 | 8 | yes | complemented |
| 182 | C2×Dic12 | — | 2 | 4 | no | — |
| 183 | C2×Dic12 | C23 | 1 | 1 | yes | characteristic |
| 184 | C2×Dic12 | C23 | 1 | 4 | yes | — |
| 185 | C2×Dic12 | C23 | 1 | 2 | yes | — |
| 186 | C2×Dic12 | C23 | 1 | 2 | yes | — |
| 187 | #904 | — | 2 | 4 | no | — |
| 188 | C2×D24 | C23 | 1 | 1 | yes | characteristic |
| 189 | C2×#204 | C23 | 1 | 2 | yes | — |
| 190 | C2×#204 | C23 | 1 | 4 | yes | — |
| 191 | #901 | D4 | 1 | 8 | yes | complemented |
| 192 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 193 | C2×ΓL(1,𝔽25) | C23 | 1 | 2 | yes | — |
| 194 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 195 | C2×D3×C8 | C23 | 1 | 2 | yes | — |
| 196 | #897 | — | 2 | 4 | no | — |
| 197 | #896 | — | 2 | 8 | no | — |
| 198 | #894 | — | 2 | 8 | no | — |
| 199 | #893 | D4 | 1 | 2 | yes | — |
| 200 | D3×C4⋊C4 | — | 2 | 8 | no | — |
| 201 | #888 | — | 2 | 8 | no | — |
| 202 | #887 | D4 | 1 | 2 | yes | — |
| 203 | #886 | — | 2 | 4 | no | — |
| 204 | #884 | — | 2 | 8 | no | — |
| 205 | #883 | — | 2 | 8 | no | — |
| 206 | #67⋊C4 | — | 2 | 8 | no | — |
| 207 | #67⋊C4 | D4 | 1 | 4 | yes | — |
| 208 | #878 | — | 2 | 8 | no | — |
| 209 | #875 | C23 | 1 | 4 | yes | — |
| 210 | #872 | C23 | 1 | 2 | yes | — |
| 211 | C42×D3 | C23 | 1 | 2 | yes | — |
| 212 | #869 | C23 | 1 | 4 | yes | — |
| 213 | C3×#97 | C23 | 1 | 2 | yes | — |
| 214 | C3×C4×C8 | C23 | 1 | 2 | yes | — |
| 215 | #815 | C23 | 1 | 2 | yes | — |
| 216 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 217 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 218 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 219 | C8×Dic3 | C23 | 1 | 2 | yes | — |
| 220 | C8×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 221 | #803 | C23 | 1 | 2 | yes | — |
| 222 | C4×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 223 | C2×2−1+4 | — | 3 | 2 | no | — |
| 224 | C2×2−1+4 | — | 3 | 2 | no | — |
| 225 | #578 | — | 6 | 8 | no | — |
| 226 | #578 | — | 6 | 8 | no | — |
| 227 | #578 | — | 6 | 16 | no | — |
| 228 | C2×#137 | — | 3 | 2 | no | — |
| 229 | C2×#137 | — | 3 | 2 | no | — |
| 230 | C2×#137 | — | 3 | 4 | no | — |
| 231 | C2×#137 | — | 3 | 4 | no | — |
| 232 | C2×#137 | — | 3 | 4 | no | — |
| 233 | C2×#137 | — | 3 | 4 | no | — |
| 234 | C2×#137 | — | 3 | 2 | no | — |
| 235 | C2×#137 | C2×D3 | 1 | 2 | yes | — |
| 236 | C2×#135 | — | 3 | 2 | no | — |
| 237 | C2×#135 | — | 3 | 2 | no | — |
| 238 | C2×#135 | — | 3 | 4 | no | — |
| 239 | C2×#135 | — | 3 | 2 | no | — |
| 240 | C2×#135 | — | 3 | 1 | no | — |
| 241 | C2×#135 | C2×D3 | 1 | 1 | yes | characteristic |
| 242 | C22×Q16 | — | 3 | 2 | no | — |
| 243 | C22×Q16 | — | 3 | 4 | no | — |
| 244 | C22×Q16 | — | 3 | 2 | no | — |
| 245 | C22×Q16 | — | 3 | 2 | no | — |
| 246 | C22×Q16 | — | 3 | 1 | no | — |
| 247 | C22×Q16 | C2×D3 | 1 | 1 | yes | characteristic |
| 248 | C2×#131 | — | 3 | 1 | no | — |
| 249 | C2×#131 | — | 3 | 1 | no | — |
| 250 | D4×Q8 | — | 6 | 4 | no | — |
| 251 | #547 | — | 6 | 4 | no | — |
| 252 | #547 | — | 6 | 8 | no | — |
| 253 | #536 | — | 3 | 4 | no | — |
| 254 | #536 | — | 3 | 4 | no | — |
| 255 | #536 | — | 3 | 2 | no | — |
| 256 | #536 | C2×D3 | 1 | 2 | yes | — |
| 257 | #532 | — | 3 | 2 | no | — |
| 258 | #532 | — | 3 | 4 | no | — |
| 259 | C2×C4⋊Q8 | — | 3 | 2 | no | — |
| 260 | C2×C4⋊Q8 | — | 3 | 4 | no | — |
| 261 | C4×#41 | — | 3 | 1 | no | — |
| 262 | #497 | — | 3 | 4 | no | — |
| 263 | #497 | — | 3 | 4 | no | — |
| 264 | #497 | — | 3 | 4 | no | — |
| 265 | #497 | — | 3 | 4 | no | — |
| 266 | #497 | — | 3 | 4 | no | — |
| 267 | #497 | C2×D3 | 1 | 4 | yes | — |
| 268 | #495 | — | 3 | 1 | no | — |
| 269 | #495 | — | 3 | 2 | no | — |
| 270 | #495 | — | 3 | 1 | no | — |
| 271 | #495 | — | 3 | 4 | no | — |
| 272 | #495 | — | 3 | 2 | no | — |
| 273 | #495 | C2×D3 | 1 | 2 | yes | — |
| 274 | #494 | — | 3 | 1 | no | — |
| 275 | #494 | — | 3 | 2 | no | — |
| 276 | #494 | — | 3 | 4 | no | — |
| 277 | #494 | — | 3 | 2 | no | — |
| 278 | #494 | — | 3 | 2 | no | — |
| 279 | #494 | — | 3 | 2 | no | — |
| 280 | #494 | — | 3 | 4 | no | — |
| 281 | #494 | — | 3 | 2 | no | — |
| 282 | #494 | C2×D3 | 1 | 2 | yes | — |
| 283 | #493 | — | 3 | 1 | no | — |
| 284 | #492 | — | 3 | 4 | no | — |
| 285 | #492 | — | 3 | 2 | no | — |
| 286 | #405 | — | 3 | 1 | no | — |
| 287 | #405 | — | 3 | 2 | no | — |
| 288 | #405 | — | 3 | 2 | no | — |
| 289 | #405 | C2×D3 | 1 | 1 | yes | characteristic |
| 290 | C4×M16 | — | 3 | 1 | no | — |
| 291 | C4×M16 | — | 3 | 2 | no | — |
| 292 | C2×C4×C8 | — | 3 | 1 | no | — |
| 293 | C2×C4×C8 | — | 3 | 2 | no | — |
| 294 | C3×#41 | — | 2 | 4 | no | — |
| 295 | C3×#41 | — | 2 | 4 | no | — |
| 296 | C2×C3×Q8 | — | 2 | 2 | no | — |
| 297 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 298 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 299 | C2×C3×Q8 | C24 | 1 | 4 | yes | — |
| 300 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 301 | C2×C3×D4 | — | 2 | 2 | no | — |
| 302 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 303 | C22×C3×C4 | — | 2 | 2 | no | — |
| 304 | C22×C3×C4 | — | 2 | 2 | no | — |
| 305 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 306 | C2×#67 | — | 2 | 2 | no | — |
| 307 | C2×#67 | — | 2 | 4 | no | — |
| 308 | C2×#67 | — | 2 | 4 | no | — |
| 309 | C2×#67 | C2×D4 | 1 | 2 | yes | — |
| 310 | C22×Dic3 | — | 2 | 2 | no | — |
| 311 | C22×Dic3 | — | 2 | 4 | no | — |
| 312 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 313 | #239 | — | 2 | 8 | no | — |
| 314 | #239 | — | 2 | 8 | no | — |
| 315 | #239 | — | 4 | 8 | no | — |
| 316 | D3×Q8 | — | 2 | 8 | no | — |
| 317 | D3×Q8 | — | 2 | 8 | no | — |
| 318 | D3×Q8 | — | 2 | 8 | no | — |
| 319 | D3×Q8 | — | 2 | 8 | no | — |
| 320 | D3×Q8 | — | 4 | 8 | no | — |
| 321 | #237 | — | 2 | 8 | no | — |
| 322 | #237 | — | 2 | 8 | no | — |
| 323 | #237 | — | 4 | 16 | no | — |
| 324 | #235 | — | 2 | 4 | no | — |
| 325 | #235 | — | 2 | 4 | no | — |
| 326 | #235 | — | 4 | 16 | no | — |
| 327 | #235 | — | 4 | 8 | no | — |
| 328 | #235 | C2×D4 | 1 | 4 | yes | — |
| 329 | #235 | C2×D4 | 1 | 4 | yes | — |
| 330 | C2×D12 | — | 2 | 4 | no | — |
| 331 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 332 | C2×D12 | C24 | 1 | 2 | yes | — |
| 333 | C2×C4×D3 | — | 2 | 4 | no | — |
| 334 | C2×C4×D3 | — | 2 | 4 | no | — |
| 335 | C2×C4×D3 | — | 2 | 2 | no | — |
| 336 | C2×C4×D3 | — | 2 | 4 | no | — |
| 337 | C2×C4×D3 | C2×D4 | 1 | 4 | yes | — |
| 338 | C2×C4×D3 | C24 | 1 | 2 | yes | — |
| 339 | C2×Dic6 | — | 2 | 4 | no | — |
| 340 | C2×Dic6 | — | 2 | 4 | no | — |
| 341 | C2×Dic6 | — | 2 | 2 | no | — |
| 342 | C2×Dic6 | — | 2 | 4 | no | — |
| 343 | C2×Dic6 | — | 2 | 4 | no | — |
| 344 | C2×Dic6 | — | 4 | 8 | no | — |
| 345 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 346 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 347 | C2×Dic6 | C24 | 1 | 4 | yes | — |
| 348 | C3×Q16 | — | 2 | 2 | no | — |
| 349 | C3×Q16 | — | 2 | 8 | no | — |
| 350 | C3×Q16 | — | 2 | 4 | no | — |
| 351 | C3×Q16 | — | 2 | 4 | no | — |
| 352 | C3×SD16 | — | 2 | 4 | no | — |
| 353 | C3×SD16 | — | 2 | 8 | no | — |
| 354 | C3×D8 | — | 2 | 2 | no | — |
| 355 | C3×M16 | C2×D4 | 1 | 4 | yes | — |
| 356 | C2×C3×C8 | C2×D4 | 1 | 4 | yes | — |
| 357 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 358 | C2×C3×C8 | C24 | 1 | 1 | yes | characteristic |
| 359 | C2×C3×C8 | C24 | 1 | 2 | yes | — |
| 360 | C3×C4⋊C4 | — | 2 | 8 | no | — |
| 361 | C3×C4⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 362 | C3×C22⋊C4 | — | 2 | 8 | no | — |
| 363 | C3×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 364 | C3×C42 | C24 | 1 | 2 | yes | — |
| 365 | #217 | — | 2 | 4 | no | — |
| 366 | #216 | — | 2 | 8 | no | — |
| 367 | #216 | — | 2 | 8 | no | — |
| 368 | #216 | — | 2 | 8 | no | — |
| 369 | #216 | — | 2 | 4 | no | — |
| 370 | #216 | — | 2 | 8 | no | — |
| 371 | #215 | — | 2 | 4 | no | — |
| 372 | #215 | — | 2 | 8 | no | — |
| 373 | #214 | — | 2 | 8 | no | — |
| 374 | #214 | — | 2 | 4 | no | — |
| 375 | #213 | — | 2 | 4 | no | — |
| 376 | (C2×D3)⋊C4 | — | 2 | 8 | no | — |
| 377 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 378 | (C2×D3)⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 379 | C4⋊Dic3 | — | 2 | 8 | no | — |
| 380 | Dic3⋊C4 | — | 2 | 8 | no | — |
| 381 | Dic3⋊C4 | — | 2 | 8 | no | — |
| 382 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 383 | Dic3⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 384 | C4×Dic3 | C2×D4 | 1 | 4 | yes | — |
| 385 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 386 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 387 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 388 | #208 | C2×D4 | 1 | 4 | yes | — |
| 389 | C2×C3⋊C8 | C2×D4 | 1 | 4 | yes | — |
| 390 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 391 | C2×C3⋊C8 | C24 | 1 | 2 | yes | — |
| 392 | C2×C3⋊C8 | C24 | 1 | 1 | yes | characteristic |
| 393 | Dic12 | — | 2 | 2 | no | — |
| 394 | Dic12 | — | 2 | 4 | no | — |
| 395 | Dic12 | — | 2 | 4 | no | — |
| 396 | Dic12 | — | 2 | 8 | no | — |
| 397 | D24 | — | 2 | 2 | no | — |
| 398 | #204 | — | 2 | 4 | no | — |
| 399 | #204 | — | 2 | 8 | no | — |
| 400 | ΓL(1,𝔽25) | C2×D4 | 1 | 8 | yes | — |
| 401 | ΓL(1,𝔽25) | C2×D4 | 1 | 8 | yes | — |
| 402 | D3×C8 | C2×D4 | 1 | 8 | yes | — |
| 403 | D3×C8 | C2×D4 | 1 | 8 | yes | — |
| 404 | 2−1+4 | — | 6 | 8 | no | — |
| 405 | 2−1+4 | — | 6 | 8 | no | — |
| 406 | 2−1+4 | — | 6 | 8 | no | — |
| 407 | 2−1+4 | — | 6 | 8 | no | — |
| 408 | C2×#41 | — | 3 | 1 | no | — |
| 409 | C2×#41 | — | 3 | 4 | no | — |
| 410 | C2×#41 | — | 3 | 4 | no | — |
| 411 | C2×#41 | — | 3 | 2 | no | — |
| 412 | C2×#41 | — | 6 | 4 | no | — |
| 413 | C2×#41 | — | 6 | 2 | no | — |
| 414 | C2×#41 | — | 6 | 4 | no | — |
| 415 | C2×#41 | — | 6 | 2 | no | — |
| 416 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 417 | C22×Q8 | — | 3 | 4 | no | — |
| 418 | C22×Q8 | — | 3 | 4 | no | — |
| 419 | C22×Q8 | — | 3 | 2 | no | — |
| 420 | C22×Q8 | — | 6 | 2 | no | — |
| 421 | C22×Q8 | — | 6 | 2 | no | — |
| 422 | C22×Q8 | C22×D3 | 1 | 2 | yes | — |
| 423 | #137 | — | 2 | 8 | no | — |
| 424 | #137 | — | 6 | 16 | no | — |
| 425 | #137 | — | 6 | 16 | no | — |
| 426 | #137 | — | 6 | 16 | no | — |
| 427 | #137 | — | 6 | 16 | no | — |
| 428 | #137 | — | 6 | 8 | no | — |
| 429 | #137 | — | 6 | 8 | no | — |
| 430 | #137 | — | 6 | 8 | no | — |
| 431 | #135 | — | 2 | 4 | no | — |
| 432 | #135 | — | 6 | 8 | no | — |
| 433 | #135 | — | 6 | 16 | no | — |
| 434 | #135 | — | 6 | 8 | no | — |
| 435 | #135 | — | 6 | 8 | no | — |
| 436 | #135 | — | 6 | 4 | no | — |
| 437 | C2×Q16 | — | 2 | 4 | no | — |
| 438 | C2×Q16 | — | 3 | 2 | no | — |
| 439 | C2×Q16 | — | 3 | 4 | no | — |
| 440 | C2×Q16 | — | 3 | 4 | no | — |
| 441 | C2×Q16 | — | 3 | 4 | no | — |
| 442 | C2×Q16 | — | 3 | 4 | no | — |
| 443 | C2×Q16 | — | 3 | 1 | no | — |
| 444 | C2×Q16 | — | 3 | 2 | no | — |
| 445 | C2×Q16 | — | 3 | 2 | no | — |
| 446 | C2×Q16 | — | 3 | 4 | no | — |
| 447 | C2×Q16 | — | 6 | 8 | no | — |
| 448 | C2×Q16 | — | 6 | 8 | no | — |
| 449 | C2×Q16 | — | 6 | 16 | no | — |
| 450 | C2×Q16 | — | 6 | 8 | no | — |
| 451 | C2×Q16 | — | 6 | 4 | no | — |
| 452 | C2×Q16 | C22×D3 | 1 | 1 | yes | characteristic |
| 453 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 454 | C2×Q16 | C22×D3 | 1 | 4 | yes | — |
| 455 | C2×Q16 | C22×D3 | 1 | 2 | yes | — |
| 456 | C2×SD16 | — | 3 | 2 | no | — |
| 457 | C2×SD16 | — | 3 | 4 | no | — |
| 458 | C2×SD16 | — | 3 | 2 | no | — |
| 459 | C2×SD16 | — | 3 | 4 | no | — |
| 460 | C2×SD16 | — | 3 | 2 | no | — |
| 461 | C2×SD16 | — | 3 | 4 | no | — |
| 462 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 463 | C2×SD16 | C22×D3 | 1 | 2 | yes | — |
| 464 | C2×D8 | — | 3 | 2 | no | — |
| 465 | C2×D8 | — | 3 | 1 | no | — |
| 466 | C2×D8 | C22×D3 | 1 | 1 | yes | characteristic |
| 467 | #131 | — | 3 | 8 | no | — |
| 468 | #131 | — | 3 | 8 | no | — |
| 469 | C2×M16 | — | 3 | 1 | no | — |
| 470 | C2×M16 | — | 3 | 2 | no | — |
| 471 | C2×M16 | — | 3 | 2 | no | — |
| 472 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 473 | C22×C8 | — | 3 | 1 | no | — |
| 474 | C22×C8 | — | 3 | 2 | no | — |
| 475 | C22×C8 | — | 3 | 2 | no | — |
| 476 | C22×C8 | C22×D3 | 1 | 1 | yes | characteristic |
| 477 | C4⋊Q8 | — | 3 | 2 | no | — |
| 478 | C4⋊Q8 | — | 3 | 4 | no | — |
| 479 | C4⋊Q8 | — | 3 | 4 | no | — |
| 480 | C4⋊Q8 | — | 3 | 4 | no | — |
| 481 | C4⋊Q8 | — | 6 | 8 | no | — |
| 482 | C4⋊Q8 | — | 6 | 4 | no | — |
| 483 | C4⋊Q8 | C22×D3 | 1 | 4 | yes | — |
| 484 | #127 | — | 3 | 2 | no | — |
| 485 | #124 | — | 3 | 2 | no | — |
| 486 | #124 | — | 3 | 2 | no | — |
| 487 | #124 | — | 3 | 4 | no | — |
| 488 | #124 | C22×D3 | 1 | 4 | yes | — |
| 489 | #123 | — | 2 | 4 | no | — |
| 490 | #123 | — | 6 | 8 | no | — |
| 491 | #123 | — | 6 | 8 | no | — |
| 492 | #123 | — | 6 | 4 | no | — |
| 493 | C22⋊Q8 | — | 2 | 4 | no | — |
| 494 | C22⋊Q8 | — | 6 | 8 | no | — |
| 495 | C22⋊Q8 | — | 6 | 8 | no | — |
| 496 | C22⋊Q8 | — | 6 | 4 | no | — |
| 497 | #121 | — | 6 | 8 | no | — |
| 498 | #121 | — | 6 | 4 | no | — |
| 499 | C4×Q8 | — | 3 | 2 | no | — |
| 500 | C4×D4 | — | 3 | 2 | no | — |
| 501 | C4×D4 | — | 3 | 4 | no | — |
| 502 | C4×D4 | — | 6 | 8 | no | — |
| 503 | C4×D4 | — | 6 | 4 | no | — |
| 504 | #117 | — | 3 | 2 | no | — |
| 505 | #117 | C22×D3 | 1 | 1 | yes | characteristic |
| 506 | C2×C4⋊C4 | — | 6 | 8 | no | — |
| 507 | C2×C4⋊C4 | — | 6 | 4 | no | — |
| 508 | C2×C42 | — | 3 | 1 | no | — |
| 509 | C2×C42 | — | 3 | 2 | no | — |
| 510 | #97 | — | 3 | 2 | no | — |
| 511 | #97 | — | 3 | 2 | no | — |
| 512 | #97 | C22×D3 | 1 | 2 | yes | — |
| 513 | C4×C8 | — | 3 | 1 | no | — |
| 514 | C4×C8 | — | 3 | 1 | no | — |
| 515 | C4×C8 | — | 3 | 2 | no | — |
| 516 | C4×C8 | — | 3 | 1 | no | — |
| 517 | C4×C8 | — | 3 | 1 | no | — |
| 518 | C4×C8 | — | 3 | 2 | no | — |
| 519 | C4×C8 | C22×D3 | 1 | 2 | yes | — |
| 520 | C23×C3 | — | 2 | 2 | no | — |
| 521 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 522 | C22×D3 | — | 2 | 2 | no | — |
| 523 | C22×D3 | C22×D4 | 1 | 2 | yes | — |
| 524 | C3×Q8 | — | 2 | 2 | no | — |
| 525 | C3×Q8 | — | 2 | 4 | no | — |
| 526 | C3×Q8 | — | 2 | 2 | no | — |
| 527 | C3×Q8 | — | 2 | 4 | no | — |
| 528 | C3×Q8 | — | 4 | 4 | no | — |
| 529 | C3×D4 | — | 2 | 2 | no | — |
| 530 | C3×D4 | — | 2 | 2 | no | — |
| 531 | C3×D4 | — | 4 | 4 | no | — |
| 532 | C2×C3×C4 | — | 2 | 4 | no | — |
| 533 | C2×C3×C4 | — | 2 | 2 | no | — |
| 534 | C2×C3×C4 | — | 4 | 4 | no | — |
| 535 | C2×C3×C4 | — | 4 | 4 | no | — |
| 536 | C2×C3×C4 | C22×D4 | 1 | 4 | yes | — |
| 537 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 538 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 539 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 540 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 541 | #67 | — | 4 | 4 | no | — |
| 542 | #67 | — | 4 | 8 | no | — |
| 543 | #67 | — | 4 | 8 | no | — |
| 544 | #67 | #127 | 1 | 8 | yes | — |
| 545 | C2×Dic3 | — | 2 | 4 | no | — |
| 546 | C2×Dic3 | — | 2 | 4 | no | — |
| 547 | C2×Dic3 | — | 2 | 2 | no | — |
| 548 | C2×Dic3 | — | 4 | 4 | no | — |
| 549 | C2×Dic3 | — | 4 | 8 | no | — |
| 550 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 551 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 552 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 553 | D12 | — | 2 | 2 | no | — |
| 554 | D12 | — | 2 | 2 | no | — |
| 555 | D12 | — | 4 | 8 | no | — |
| 556 | D12 | #127 | 1 | 4 | yes | — |
| 557 | C4×D3 | — | 2 | 8 | no | — |
| 558 | C4×D3 | — | 4 | 8 | no | — |
| 559 | C4×D3 | — | 4 | 8 | no | — |
| 560 | C4×D3 | — | 4 | 4 | no | — |
| 561 | C4×D3 | — | 4 | 8 | no | — |
| 562 | C4×D3 | C22×D4 | 1 | 4 | yes | — |
| 563 | C4×D3 | C22×D4 | 1 | 4 | yes | — |
| 564 | Dic6 | — | 2 | 4 | no | — |
| 565 | Dic6 | — | 2 | 2 | no | — |
| 566 | Dic6 | — | 2 | 4 | no | — |
| 567 | Dic6 | — | 2 | 2 | no | — |
| 568 | Dic6 | — | 4 | 4 | no | — |
| 569 | Dic6 | — | 4 | 8 | no | — |
| 570 | Dic6 | — | 4 | 8 | no | — |
| 571 | Dic6 | #127 | 1 | 4 | yes | — |
| 572 | C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 573 | C3×C8 | C22×D4 | 1 | 4 | yes | — |
| 574 | C3×C8 | C22×D4 | 1 | 2 | yes | — |
| 575 | C3⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 576 | C3⋊C8 | C22×D4 | 1 | 4 | yes | — |
| 577 | C3⋊C8 | C22×D4 | 1 | 2 | yes | — |
| 578 | #41 | — | 2 | 4 | no | — |
| 579 | #41 | — | 2 | 4 | no | — |
| 580 | #41 | — | 3 | 4 | no | — |
| 581 | #41 | — | 3 | 4 | no | — |
| 582 | #41 | — | 6 | 8 | no | — |
| 583 | #41 | — | 6 | 8 | no | — |
| 584 | #41 | — | 6 | 8 | no | — |
| 585 | #41 | — | 6 | 8 | no | — |
| 586 | #41 | — | 6 | 4 | no | — |
| 587 | #41 | — | 6 | 4 | no | — |
| 588 | #41 | — | 12 | 16 | no | — |
| 589 | #41 | — | 12 | 8 | no | — |
| 590 | #41 | — | 12 | 16 | no | — |
| 591 | #41 | — | 12 | 8 | no | — |
| 592 | C2×Q8 | — | 2 | 2 | no | — |
| 593 | C2×Q8 | — | 2 | 4 | no | — |
| 594 | C2×Q8 | — | 2 | 4 | no | — |
| 595 | C2×Q8 | — | 3 | 1 | no | — |
| 596 | C2×Q8 | — | 3 | 2 | no | — |
| 597 | C2×Q8 | — | 3 | 4 | no | — |
| 598 | C2×Q8 | — | 6 | 4 | no | — |
| 599 | C2×Q8 | — | 6 | 4 | no | — |
| 600 | C2×Q8 | — | 6 | 8 | no | — |
| 601 | C2×Q8 | — | 6 | 8 | no | — |
| 602 | C2×Q8 | — | 6 | 8 | no | — |
| 603 | C2×Q8 | — | 6 | 8 | no | — |
| 604 | C2×Q8 | — | 6 | 2 | no | — |
| 605 | C2×Q8 | — | 6 | 4 | no | — |
| 606 | C2×Q8 | — | 6 | 4 | no | — |
| 607 | C2×Q8 | — | 12 | 8 | no | — |
| 608 | C2×Q8 | — | 12 | 8 | no | — |
| 609 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 610 | C2×Q8 | C23×D3 | 1 | 4 | yes | — |
| 611 | C2×D4 | — | 2 | 2 | no | — |
| 612 | C2×D4 | — | 3 | 2 | no | — |
| 613 | C2×D4 | — | 3 | 1 | no | — |
| 614 | C2×D4 | — | 3 | 2 | no | — |
| 615 | C2×D4 | — | 6 | 4 | no | — |
| 616 | C2×D4 | — | 6 | 4 | no | — |
| 617 | C2×D4 | — | 6 | 4 | no | — |
| 618 | C2×D4 | — | 6 | 2 | no | — |
| 619 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 620 | C22×C4 | — | 2 | 2 | no | — |
| 621 | C22×C4 | — | 2 | 2 | no | — |
| 622 | C22×C4 | — | 3 | 2 | no | — |
| 623 | C22×C4 | — | 3 | 2 | no | — |
| 624 | C22×C4 | — | 3 | 4 | no | — |
| 625 | C22×C4 | — | 6 | 4 | no | — |
| 626 | C22×C4 | — | 6 | 4 | no | — |
| 627 | C22×C4 | — | 6 | 4 | no | — |
| 628 | C22×C4 | — | 6 | 4 | no | — |
| 629 | C22×C4 | — | 6 | 2 | no | — |
| 630 | C22×C4 | — | 6 | 2 | no | — |
| 631 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 632 | Q16 | — | 2 | 4 | no | — |
| 633 | Q16 | — | 2 | 4 | no | — |
| 634 | Q16 | — | 2 | 2 | no | — |
| 635 | Q16 | — | 2 | 8 | no | — |
| 636 | Q16 | — | 6 | 8 | no | — |
| 637 | Q16 | — | 6 | 4 | no | — |
| 638 | Q16 | — | 6 | 8 | no | — |
| 639 | Q16 | — | 6 | 8 | no | — |
| 640 | Q16 | — | 6 | 8 | no | — |
| 641 | Q16 | — | 6 | 2 | no | — |
| 642 | Q16 | — | 6 | 4 | no | — |
| 643 | Q16 | — | 6 | 8 | no | — |
| 644 | Q16 | — | 6 | 4 | no | — |
| 645 | SD16 | — | 2 | 4 | no | — |
| 646 | SD16 | — | 2 | 8 | no | — |
| 647 | SD16 | — | 6 | 8 | no | — |
| 648 | SD16 | — | 6 | 4 | no | — |
| 649 | SD16 | — | 6 | 8 | no | — |
| 650 | SD16 | — | 6 | 4 | no | — |
| 651 | SD16 | — | 6 | 8 | no | — |
| 652 | SD16 | — | 6 | 4 | no | — |
| 653 | D8 | — | 2 | 2 | no | — |
| 654 | D8 | — | 6 | 4 | no | — |
| 655 | D8 | — | 6 | 2 | no | — |
| 656 | M16 | — | 3 | 4 | no | — |
| 657 | M16 | — | 3 | 8 | no | — |
| 658 | M16 | — | 3 | 8 | no | — |
| 659 | M16 | D3×D4 | 1 | 4 | yes | — |
| 660 | C2×C8 | — | 3 | 4 | no | — |
| 661 | C2×C8 | — | 3 | 1 | no | — |
| 662 | C2×C8 | — | 3 | 1 | no | — |
| 663 | C2×C8 | — | 3 | 2 | no | — |
| 664 | C2×C8 | — | 3 | 8 | no | — |
| 665 | C2×C8 | — | 3 | 8 | no | — |
| 666 | C2×C8 | D3×D4 | 1 | 4 | yes | — |
| 667 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 668 | C2×C8 | C23×D3 | 1 | 1 | yes | characteristic |
| 669 | C2×C8 | C23×D3 | 1 | 2 | yes | — |
| 670 | C4⋊C4 | — | 2 | 8 | no | — |
| 671 | C4⋊C4 | — | 3 | 4 | no | — |
| 672 | C4⋊C4 | — | 6 | 8 | no | — |
| 673 | C4⋊C4 | — | 6 | 4 | no | — |
| 674 | C4⋊C4 | — | 6 | 8 | no | — |
| 675 | C4⋊C4 | — | 6 | 8 | no | — |
| 676 | C4⋊C4 | D3×D4 | 1 | 2 | yes | — |
| 677 | C22⋊C4 | — | 2 | 8 | no | — |
| 678 | C22⋊C4 | — | 3 | 4 | no | — |
| 679 | C22⋊C4 | — | 6 | 4 | no | — |
| 680 | C22⋊C4 | — | 6 | 4 | no | — |
| 681 | C22⋊C4 | — | 6 | 8 | no | — |
| 682 | C22⋊C4 | D3×D4 | 1 | 2 | yes | — |
| 683 | C42 | — | 3 | 4 | no | — |
| 684 | C42 | — | 3 | 2 | no | — |
| 685 | C42 | — | 3 | 1 | no | — |
| 686 | C42 | — | 3 | 1 | no | — |
| 687 | C42 | C23×D3 | 1 | 2 | yes | — |
| 688 | C22×C3 | — | 2 | 2 | no | — |
| 689 | C22×C3 | — | 4 | 2 | no | — |
| 690 | C22×C3 | — | 4 | 4 | no | — |
| 691 | C22×C3 | C2×#127 | 1 | 2 | yes | — |
| 692 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 693 | C2×D3 | — | 2 | 4 | no | — |
| 694 | C2×D3 | — | 4 | 2 | no | — |
| 695 | C2×D3 | — | 4 | 4 | no | — |
| 696 | C2×D3 | C2×#127 | 1 | 4 | yes | — |
| 697 | C3×C4 | — | 2 | 4 | no | — |
| 698 | C3×C4 | — | 4 | 2 | no | — |
| 699 | C3×C4 | — | 4 | 4 | no | — |
| 700 | C3×C4 | C2×#127 | 1 | 2 | yes | — |
| 701 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 702 | C3×C4 | C23×D4 | 1 | 1 | yes | characteristic |
| 703 | Dic3 | — | 2 | 2 | no | — |
| 704 | Dic3 | — | 4 | 2 | no | — |
| 705 | Dic3 | — | 4 | 4 | no | — |
| 706 | Dic3 | C2×#127 | 1 | 4 | yes | — |
| 707 | Dic3 | #578 | 1 | 4 | yes | complemented |
| 708 | C23 | — | 2 | 2 | no | — |
| 709 | C23 | — | 3 | 2 | no | — |
| 710 | C23 | — | 6 | 2 | no | — |
| 711 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 712 | Q8 | — | 2 | 4 | no | — |
| 713 | Q8 | — | 2 | 2 | no | — |
| 714 | Q8 | — | 2 | 4 | no | — |
| 715 | Q8 | — | 2 | 2 | no | — |
| 716 | Q8 | — | 3 | 4 | no | — |
| 717 | Q8 | — | 4 | 4 | no | — |
| 718 | Q8 | — | 6 | 2 | no | — |
| 719 | Q8 | — | 6 | 4 | no | — |
| 720 | Q8 | — | 6 | 4 | no | — |
| 721 | Q8 | — | 6 | 2 | no | — |
| 722 | Q8 | — | 12 | 8 | no | — |
| 723 | Q8 | — | 12 | 8 | no | — |
| 724 | Q8 | — | 12 | 4 | no | — |
| 725 | D4 | — | 2 | 2 | no | — |
| 726 | D4 | — | 2 | 2 | no | — |
| 727 | D4 | — | 3 | 8 | no | — |
| 728 | D4 | — | 3 | 4 | no | — |
| 729 | D4 | — | 4 | 4 | no | — |
| 730 | D4 | — | 6 | 2 | no | — |
| 731 | D4 | — | 6 | 2 | no | — |
| 732 | D4 | — | 12 | 8 | no | — |
| 733 | D4 | — | 12 | 8 | no | — |
| 734 | D4 | — | 12 | 8 | no | — |
| 735 | D4 | — | 12 | 4 | no | — |
| 736 | C2×C4 | — | 2 | 4 | no | — |
| 737 | C2×C4 | — | 2 | 2 | no | — |
| 738 | C2×C4 | — | 3 | 2 | no | — |
| 739 | C2×C4 | — | 3 | 2 | no | — |
| 740 | C2×C4 | — | 3 | 4 | no | — |
| 741 | C2×C4 | — | 3 | 4 | no | — |
| 742 | C2×C4 | — | 3 | 2 | no | — |
| 743 | C2×C4 | — | 4 | 4 | no | — |
| 744 | C2×C4 | — | 4 | 4 | no | — |
| 745 | C2×C4 | — | 6 | 8 | no | — |
| 746 | C2×C4 | — | 6 | 4 | no | — |
| 747 | C2×C4 | — | 6 | 2 | no | — |
| 748 | C2×C4 | — | 6 | 4 | no | — |
| 749 | C2×C4 | — | 12 | 8 | no | — |
| 750 | C2×C4 | — | 12 | 8 | no | — |
| 751 | C2×C4 | — | 12 | 8 | no | — |
| 752 | C2×C4 | — | 12 | 8 | no | — |
| 753 | C2×C4 | — | 12 | 4 | no | — |
| 754 | C2×C4 | — | 12 | 4 | no | — |
| 755 | C2×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 756 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 757 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 758 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 759 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 760 | C8 | — | 3 | 2 | no | — |
| 761 | C8 | — | 3 | 2 | no | — |
| 762 | C8 | — | 3 | 4 | no | — |
| 763 | C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 764 | C8 | C2×D3×D4 | 1 | 4 | yes | — |
| 765 | C8 | C2×D3×D4 | 1 | 2 | yes | — |
| 766 | C2×C3 | — | 2 | 2 | no | — |
| 767 | C2×C3 | — | 8 | 2 | no | — |
| 768 | C2×C3 | C22×#127 | 1 | 1 | yes | characteristic |
| 769 | C2×C3 | C2×#578 | 1 | 2 | yes | — |
| 770 | D3 | — | 2 | 4 | no | — |
| 771 | D3 | — | 8 | 2 | no | — |
| 772 | C22 | — | 2 | 2 | no | — |
| 773 | C22 | — | 3 | 4 | no | — |
| 774 | C22 | — | 4 | 4 | no | — |
| 775 | C22 | — | 4 | 2 | no | — |
| 776 | C22 | — | 6 | 4 | no | — |
| 777 | C22 | — | 12 | 4 | no | — |
| 778 | C22 | — | 12 | 2 | no | — |
| 779 | C22 | D3×#127 | 1 | 2 | yes | — |
| 780 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 781 | C4 | — | 2 | 4 | no | — |
| 782 | C4 | — | 3 | 4 | no | — |
| 783 | C4 | — | 3 | 4 | no | — |
| 784 | C4 | — | 4 | 2 | no | — |
| 785 | C4 | — | 4 | 4 | no | — |
| 786 | C4 | — | 6 | 2 | no | — |
| 787 | C4 | — | 12 | 4 | no | — |
| 788 | C4 | — | 12 | 2 | no | — |
| 789 | C4 | D3×#127 | 1 | 2 | yes | — |
| 790 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 791 | C4 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 792 | C3 | #60648 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 793 | C2 | — | 2 | 2 | no | — |
| 794 | C2 | — | 6 | 4 | no | — |
| 795 | C2 | — | 8 | 2 | no | — |
| 796 | C2 | — | 24 | 2 | no | — |
| 797 | C2 | C2×D3×#127 | 1 | 1 | yes | characteristic |
| 798 | C2 | D3×#578 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#5779 | C2 | semidirect |
| 2. C2×#5771 | C2 | semidirect |
| 3. C2×#5766 | C2 | semidirect |
| 4. #86340 | C2 | semidirect |
| 5. C3×#3156 | C2 | semidirect |
| 6. #83972 | C2 | semidirect |
| 7. #83903 | C2 | semidirect |
| 8. C2×#5183 | C2 | semidirect |
| 9. #83403 | C2 | semidirect |
| 10. #81873 | C2 | semidirect |
| 11. #81870 | C2 | semidirect |
| 12. #81824 | C2 | semidirect |
| 13. #81820 | C2 | semidirect |
| 14. #81801 | C2 | semidirect |
| 15. D3×#494 | C2 | semidirect |
| 16. #78576 | C2 | semidirect |
| 17. #78549 | C2 | semidirect |
| 99. #3156 | D3 | semidirect |
| 181. #907 | D4 | semidirect |
| 191. #901 | D4 | semidirect |
| 707. Dic3 | #578 | semidirect |
| 792. C3 | #60648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#5779 | 2 |
| C2×#5771 | 2 |
| C2×#5766 | 2 |
| #86340 | 2 |
| C3×#3156 | 2 |
| #83972 | 2 |
| #83903 | 2 |
| C2×#5183 | 2 |
| #83403 | 2 |
| #81873 | 2 |
| #81870 | 2 |
| #81824 | 2 |
| #81820 | 2 |
| #81801 | 2 |
| D3×#494 | 2 |
| #78576 | 2 |
| #78549 | 2 |
| #60648 | 3 |