Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
3314 conjugacy classes of subgroups.
The subgroup lattice has 976 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C2×#5777 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | C2×#5773 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | D3×#532 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#5668 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C3×#3153 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83972 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #83937 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #83289 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #82943 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #81870 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #81869 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #81845 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | #81844 | C2 | 1 | 2 | yes | maximal, complemented |
| 14 | #81821 | C2 | 1 | 4 | yes | maximal, complemented |
| 15 | #81820 | C2 | 1 | 4 | yes | maximal, complemented |
| 16 | #78531 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | C4×D3×M16 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #60639 | — | 3 | 1 | no | maximal, Sylow |
| 19 | C2×D3×#41 | C22 | 1 | 2 | yes | — |
| 20 | C22×#239 | C22 | 1 | 1 | yes | characteristic |
| 21 | C22×#237 | C22 | 1 | 1 | yes | characteristic |
| 22 | C2×C3×#137 | C22 | 1 | 2 | yes | complemented |
| 23 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 24 | C3×#532 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×C3×#124 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #5832 | C22 | 1 | 2 | yes | — |
| 27 | C2×#951 | C22 | 1 | 2 | yes | complemented |
| 28 | C2×#949 | C22 | 1 | 2 | yes | complemented |
| 29 | C2×#944 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C2×#942 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×#940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C2×#932 | C22 | 1 | 2 | yes | complemented |
| 33 | #5777 | — | 2 | 16 | no | — |
| 34 | #5773 | — | 2 | 16 | no | — |
| 35 | C2×#919 | C22 | 1 | 4 | yes | complemented |
| 36 | C2×#918 | C22 | 1 | 4 | yes | complemented |
| 37 | C2×#916 | C22 | 1 | 4 | yes | complemented |
| 38 | C2×#916 | C22 | 1 | 4 | yes | complemented |
| 39 | C2×#915 | C22 | 1 | 4 | yes | complemented |
| 40 | C2×#914 | C22 | 1 | 4 | yes | complemented |
| 41 | C2×#912 | C22 | 1 | 4 | yes | complemented |
| 42 | C2×#911 | C22 | 1 | 4 | yes | complemented |
| 43 | C2×#909 | C22 | 1 | 2 | yes | complemented |
| 44 | C2×#908 | C22 | 1 | 2 | yes | complemented |
| 45 | C2×D3×M16 | C22 | 1 | 2 | yes | — |
| 46 | #5725 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | D3×C4⋊Q8 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #5716 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | D3×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | D3×#124 | C22 | 1 | 2 | yes | complemented |
| 51 | #5668 | — | 2 | 2 | no | — |
| 52 | #5668 | — | 2 | 2 | no | — |
| 53 | #5668 | C22 | 1 | 2 | yes | — |
| 54 | #5668 | C22 | 1 | 2 | yes | — |
| 55 | #5668 | C22 | 1 | 2 | yes | complemented |
| 56 | #5668 | C22 | 1 | 2 | yes | complemented |
| 57 | #5668 | C22 | 1 | 2 | yes | complemented |
| 58 | D3×#121 | — | 2 | 2 | no | — |
| 59 | #5596 | — | 2 | 2 | no | — |
| 60 | #5548 | — | 2 | 2 | no | — |
| 61 | C4×D3×D4 | — | 2 | 2 | no | — |
| 62 | C2×#884 | — | 2 | 2 | no | — |
| 63 | C2×#67⋊C4 | — | 2 | 2 | no | — |
| 64 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 65 | C2×#875 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | C2×C42×D3 | C22 | 1 | 1 | yes | characteristic |
| 67 | C3×#497 | C22 | 1 | 2 | yes | complemented |
| 68 | C3×#496 | C22 | 1 | 2 | yes | complemented |
| 69 | C3×#495 | C22 | 1 | 4 | yes | complemented |
| 70 | C3×C4×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #5190 | C22 | 1 | 4 | yes | complemented |
| 72 | #5183 | C22 | 1 | 4 | yes | complemented |
| 73 | #5176 | C22 | 1 | 4 | yes | complemented |
| 74 | #5175 | C22 | 1 | 4 | yes | complemented |
| 75 | #5175 | C22 | 1 | 4 | yes | complemented |
| 76 | #5167 | C22 | 1 | 4 | yes | complemented |
| 77 | #5154 | C22 | 1 | 4 | yes | complemented |
| 78 | #5151 | C22 | 1 | 4 | yes | complemented |
| 79 | Dic3×M16 | C22 | 1 | 2 | yes | complemented |
| 80 | #5086 | C22 | 1 | 2 | yes | complemented |
| 81 | #5074 | C22 | 1 | 2 | yes | complemented |
| 82 | #5060 | C22 | 1 | 2 | yes | complemented |
| 83 | #5059 | C22 | 1 | 4 | yes | complemented |
| 84 | #5059 | C22 | 1 | 4 | yes | complemented |
| 85 | #5058 | C22 | 1 | 2 | yes | complemented |
| 86 | C4×#208 | C22 | 1 | 1 | yes | characteristic, complemented |
| 87 | #4715 | C22 | 1 | 2 | yes | complemented |
| 88 | #4712 | C22 | 1 | 2 | yes | complemented |
| 89 | #4707 | C22 | 1 | 2 | yes | complemented |
| 90 | D3×#97 | C22 | 1 | 2 | yes | complemented |
| 91 | #4696 | C22 | 1 | 4 | yes | complemented |
| 92 | C4×ΓL(1,𝔽25) | C22 | 1 | 2 | yes | complemented |
| 93 | C4×D3×C8 | C22 | 1 | 2 | yes | complemented |
| 94 | C2×#575 | — | 3 | 2 | no | — |
| 95 | C2×#575 | — | 3 | 2 | no | — |
| 96 | C2×#532 | — | 3 | 1 | no | — |
| 97 | C2×#532 | — | 3 | 1 | no | — |
| 98 | #3153 | — | 3 | 4 | no | — |
| 99 | #3153 | — | 3 | 1 | no | — |
| 100 | #3153 | — | 3 | 1 | no | — |
| 101 | #3153 | — | 3 | 1 | no | — |
| 102 | #3153 | D3 | 1 | 1 | yes | characteristic, complemented |
| 103 | #3152 | — | 3 | 2 | no | — |
| 104 | #3152 | — | 3 | 2 | no | — |
| 105 | #3151 | — | 3 | 2 | no | — |
| 106 | #3151 | — | 3 | 2 | no | — |
| 107 | #3150 | — | 3 | 2 | no | — |
| 108 | #3150 | — | 3 | 2 | no | — |
| 109 | #3147 | — | 3 | 4 | no | — |
| 110 | C2×C4×M16 | — | 3 | 1 | no | — |
| 111 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 112 | C22×C3×Q8 | C23 | 1 | 1 | yes | characteristic |
| 113 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 114 | C22×#67 | — | 2 | 1 | no | — |
| 115 | C22×#67 | — | 2 | 2 | no | — |
| 116 | C23×Dic3 | — | 2 | 1 | no | — |
| 117 | D3×#41 | — | 2 | 8 | no | — |
| 118 | D3×#41 | — | 2 | 8 | no | — |
| 119 | C2×#239 | — | 2 | 1 | no | — |
| 120 | C2×#239 | — | 2 | 1 | no | — |
| 121 | C2×#239 | — | 2 | 8 | no | — |
| 122 | C2×#239 | C23 | 1 | 2 | yes | — |
| 123 | C2×#239 | C23 | 1 | 2 | yes | — |
| 124 | C2×#239 | C23 | 1 | 2 | yes | — |
| 125 | C2×D3×Q8 | C23 | 1 | 2 | yes | — |
| 126 | C2×#237 | — | 2 | 2 | no | — |
| 127 | C2×#237 | — | 2 | 8 | no | — |
| 128 | C2×#237 | — | 2 | 1 | no | — |
| 129 | C2×#237 | — | 2 | 1 | no | — |
| 130 | C2×#237 | C23 | 1 | 2 | yes | — |
| 131 | C2×#237 | C23 | 1 | 2 | yes | — |
| 132 | C2×#237 | C23 | 1 | 2 | yes | — |
| 133 | C2×D3×D4 | — | 2 | 2 | no | — |
| 134 | C2×D3×D4 | — | 2 | 2 | no | — |
| 135 | C2×D3×D4 | C23 | 1 | 2 | yes | — |
| 136 | C2×#235 | — | 2 | 2 | no | — |
| 137 | C2×#235 | C23 | 1 | 2 | yes | — |
| 138 | C22×D12 | — | 2 | 1 | no | — |
| 139 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 140 | C22×C4×D3 | — | 2 | 1 | no | — |
| 141 | C22×C4×D3 | — | 2 | 2 | no | — |
| 142 | C22×C4×D3 | D4 | 1 | 2 | yes | — |
| 143 | C22×C4×D3 | C23 | 1 | 1 | yes | characteristic |
| 144 | C22×Dic6 | C23 | 1 | 1 | yes | characteristic |
| 145 | C3×#137 | — | 2 | 8 | no | — |
| 146 | C3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 147 | C2×C3×Q16 | C23 | 1 | 4 | yes | — |
| 148 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 149 | C2×C3×SD16 | C23 | 1 | 4 | yes | — |
| 150 | C2×C3×D8 | C23 | 1 | 4 | yes | — |
| 151 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 152 | C3×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 153 | C3×#127 | C23 | 1 | 1 | yes | characteristic |
| 154 | C3×#124 | — | 2 | 2 | no | — |
| 155 | C3×#124 | C23 | 1 | 2 | yes | — |
| 156 | C3×#124 | C23 | 1 | 2 | yes | — |
| 157 | C3×#124 | C23 | 1 | 2 | yes | — |
| 158 | C3×#121 | — | 2 | 2 | no | — |
| 159 | C3×C4×D4 | — | 2 | 2 | no | — |
| 160 | C2×C3×C22⋊C4 | — | 2 | 2 | no | — |
| 161 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 162 | #951 | — | 2 | 8 | no | — |
| 163 | #949 | — | 2 | 8 | no | — |
| 164 | #947 | C23 | 1 | 2 | yes | — |
| 165 | #944 | — | 2 | 2 | no | — |
| 166 | #944 | C23 | 1 | 2 | yes | — |
| 167 | #944 | C23 | 1 | 2 | yes | — |
| 168 | #944 | C23 | 1 | 2 | yes | — |
| 169 | C2×#216 | C23 | 1 | 4 | yes | — |
| 170 | C2×#216 | C23 | 1 | 4 | yes | — |
| 171 | #942 | — | 2 | 8 | no | — |
| 172 | C2×#215 | C23 | 1 | 4 | yes | — |
| 173 | C2×#215 | C23 | 1 | 4 | yes | — |
| 174 | #940 | — | 2 | 2 | no | — |
| 175 | #940 | — | 2 | 2 | no | — |
| 176 | #940 | C23 | 1 | 2 | yes | — |
| 177 | #940 | C23 | 1 | 2 | yes | — |
| 178 | #940 | C23 | 1 | 2 | yes | — |
| 179 | #939 | — | 2 | 4 | no | — |
| 180 | #938 | — | 2 | 2 | no | — |
| 181 | #936 | C23 | 1 | 2 | yes | — |
| 182 | D4×Dic3 | — | 2 | 2 | no | — |
| 183 | C2×#214 | C23 | 1 | 4 | yes | — |
| 184 | C2×#214 | C23 | 1 | 4 | yes | — |
| 185 | #932 | — | 2 | 8 | no | — |
| 186 | C2×#213 | C23 | 1 | 4 | yes | — |
| 187 | C2×#213 | C23 | 1 | 4 | yes | — |
| 188 | #930 | — | 2 | 2 | no | — |
| 189 | C4×#67 | — | 2 | 4 | no | — |
| 190 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 191 | C2×Dic3⋊C4 | — | 2 | 2 | no | — |
| 192 | C2×C4×Dic3 | D4 | 1 | 2 | yes | — |
| 193 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 194 | C2×#208 | C23 | 1 | 2 | yes | — |
| 195 | #919 | — | 2 | 16 | no | — |
| 196 | #918 | — | 2 | 16 | no | — |
| 197 | #916 | — | 2 | 16 | no | — |
| 198 | #916 | — | 2 | 16 | no | — |
| 199 | #915 | — | 2 | 16 | no | — |
| 200 | #914 | — | 2 | 16 | no | — |
| 201 | #912 | — | 2 | 16 | no | — |
| 202 | #911 | — | 2 | 16 | no | — |
| 203 | #909 | — | 2 | 8 | no | — |
| 204 | #908 | — | 2 | 8 | no | — |
| 205 | D3×M16 | D4 | 1 | 16 | yes | complemented |
| 206 | C2×Dic12 | C23 | 1 | 4 | yes | — |
| 207 | C2×D24 | C23 | 1 | 4 | yes | — |
| 208 | C2×#204 | C23 | 1 | 4 | yes | — |
| 209 | C2×#204 | C23 | 1 | 4 | yes | — |
| 210 | C2×ΓL(1,𝔽25) | C23 | 1 | 4 | yes | — |
| 211 | C2×D3×C8 | C23 | 1 | 4 | yes | — |
| 212 | #895 | — | 2 | 2 | no | — |
| 213 | #893 | — | 2 | 2 | no | — |
| 214 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 215 | #888 | — | 2 | 2 | no | — |
| 216 | #885 | — | 2 | 4 | no | — |
| 217 | #884 | — | 2 | 4 | no | — |
| 218 | #884 | — | 2 | 4 | no | — |
| 219 | #884 | — | 2 | 4 | no | — |
| 220 | #884 | — | 2 | 4 | no | — |
| 221 | #884 | — | 2 | 4 | no | — |
| 222 | #67⋊C4 | — | 2 | 4 | no | — |
| 223 | #67⋊C4 | — | 2 | 4 | no | — |
| 224 | #67⋊C4 | — | 2 | 4 | no | — |
| 225 | #67⋊C4 | — | 2 | 4 | no | — |
| 226 | #67⋊C4 | — | 2 | 4 | no | — |
| 227 | D3×C22⋊C4 | — | 2 | 4 | no | — |
| 228 | #875 | — | 2 | 2 | no | — |
| 229 | #875 | C23 | 1 | 2 | yes | — |
| 230 | #875 | C23 | 1 | 2 | yes | — |
| 231 | #875 | C23 | 1 | 2 | yes | — |
| 232 | #874 | C23 | 1 | 1 | yes | characteristic |
| 233 | C4×D12 | — | 2 | 2 | no | — |
| 234 | C42×D3 | D4 | 1 | 2 | yes | — |
| 235 | C42×D3 | D4 | 1 | 2 | yes | — |
| 236 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 237 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 238 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 239 | C42×D3 | C23 | 1 | 1 | yes | characteristic |
| 240 | #869 | C23 | 1 | 1 | yes | characteristic |
| 241 | C3×#97 | C23 | 1 | 2 | yes | — |
| 242 | C3×C4×C8 | C23 | 1 | 2 | yes | — |
| 243 | #815 | C23 | 1 | 4 | yes | — |
| 244 | C8×Dic3 | C23 | 1 | 4 | yes | — |
| 245 | #803 | C23 | 1 | 2 | yes | — |
| 246 | C4×C3⋊C8 | C23 | 1 | 2 | yes | — |
| 247 | C22×#41 | — | 3 | 2 | no | — |
| 248 | C22×#41 | — | 3 | 1 | no | — |
| 249 | C22×#41 | — | 3 | 1 | no | — |
| 250 | #575 | — | 6 | 16 | no | — |
| 251 | #575 | — | 6 | 16 | no | — |
| 252 | C2×#137 | — | 3 | 2 | no | — |
| 253 | C2×#137 | — | 3 | 2 | no | — |
| 254 | C2×#137 | — | 3 | 4 | no | — |
| 255 | C2×#137 | — | 3 | 4 | no | — |
| 256 | C2×#137 | — | 3 | 2 | no | — |
| 257 | C2×#137 | C2×D3 | 1 | 2 | yes | complemented |
| 258 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 259 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 260 | C2×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 261 | C2×AGL(1,ℤ/8) | — | 3 | 4 | no | — |
| 262 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 263 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 264 | C2×#135 | — | 3 | 4 | no | — |
| 265 | C2×#135 | — | 3 | 4 | no | — |
| 266 | C2×#135 | — | 3 | 4 | no | — |
| 267 | C2×#135 | — | 3 | 4 | no | — |
| 268 | C22×M16 | — | 3 | 2 | no | — |
| 269 | #532 | — | 3 | 2 | no | — |
| 270 | #532 | — | 3 | 1 | no | — |
| 271 | #532 | — | 3 | 1 | no | — |
| 272 | #532 | — | 3 | 2 | no | — |
| 273 | #532 | — | 3 | 2 | no | — |
| 274 | #532 | — | 3 | 2 | no | — |
| 275 | #532 | — | 3 | 2 | no | — |
| 276 | #532 | — | 3 | 2 | no | — |
| 277 | #532 | — | 3 | 1 | no | — |
| 278 | #532 | — | 6 | 2 | no | — |
| 279 | #532 | — | 6 | 2 | no | — |
| 280 | #532 | — | 6 | 2 | no | — |
| 281 | #532 | — | 6 | 2 | no | — |
| 282 | #532 | C2×D3 | 1 | 1 | yes | characteristic |
| 283 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 284 | C2×C4⋊Q8 | — | 3 | 1 | no | — |
| 285 | C2×#127 | — | 3 | 1 | no | — |
| 286 | C2×#127 | — | 3 | 1 | no | — |
| 287 | C2×#124 | — | 3 | 2 | no | — |
| 288 | C2×#124 | — | 3 | 1 | no | — |
| 289 | C2×#124 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 290 | C2×#121 | — | 6 | 2 | no | — |
| 291 | C2×#121 | — | 6 | 2 | no | — |
| 292 | C2×C4×D4 | — | 6 | 2 | no | — |
| 293 | C2×C4×D4 | — | 6 | 2 | no | — |
| 294 | C22×C42 | — | 3 | 1 | no | — |
| 295 | #497 | — | 3 | 4 | no | — |
| 296 | #497 | — | 3 | 4 | no | — |
| 297 | #497 | — | 3 | 2 | no | — |
| 298 | #497 | — | 3 | 2 | no | — |
| 299 | #497 | — | 3 | 2 | no | — |
| 300 | #497 | C2×D3 | 1 | 2 | yes | complemented |
| 301 | #496 | — | 3 | 4 | no | — |
| 302 | #496 | — | 3 | 4 | no | — |
| 303 | #496 | — | 3 | 2 | no | — |
| 304 | #496 | — | 3 | 2 | no | — |
| 305 | #496 | — | 3 | 2 | no | — |
| 306 | #496 | C2×D3 | 1 | 2 | yes | complemented |
| 307 | #495 | — | 3 | 4 | no | — |
| 308 | #495 | — | 3 | 4 | no | — |
| 309 | #495 | — | 3 | 4 | no | — |
| 310 | #495 | C2×D3 | 1 | 4 | yes | complemented |
| 311 | #494 | — | 3 | 4 | no | — |
| 312 | #493 | — | 3 | 4 | no | — |
| 313 | #492 | — | 3 | 4 | no | — |
| 314 | #492 | — | 3 | 4 | no | — |
| 315 | C4×M16 | — | 3 | 2 | no | — |
| 316 | C4×M16 | — | 3 | 1 | no | — |
| 317 | C4×M16 | — | 3 | 2 | no | — |
| 318 | C4×M16 | — | 3 | 2 | no | — |
| 319 | C4×M16 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 320 | C2×#97 | — | 3 | 2 | no | — |
| 321 | C2×C4×C8 | — | 3 | 2 | no | — |
| 322 | C24×C3 | — | 2 | 1 | no | — |
| 323 | C23×D3 | — | 2 | 1 | no | — |
| 324 | C23×D3 | — | 2 | 2 | no | — |
| 325 | C23×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 326 | C3×#41 | — | 2 | 4 | no | — |
| 327 | C3×#41 | — | 2 | 4 | no | — |
| 328 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 329 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 330 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 331 | C2×C3×Q8 | C24 | 1 | 2 | yes | — |
| 332 | C2×C3×D4 | — | 2 | 2 | no | — |
| 333 | C2×C3×D4 | — | 2 | 4 | no | — |
| 334 | C2×C3×D4 | — | 2 | 2 | no | — |
| 335 | C2×C3×D4 | — | 2 | 1 | no | — |
| 336 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 337 | C2×C3×D4 | C24 | 1 | 2 | yes | — |
| 338 | C22×C3×C4 | — | 2 | 1 | no | — |
| 339 | C22×C3×C4 | — | 2 | 2 | no | — |
| 340 | C22×C3×C4 | C2×D4 | 1 | 2 | yes | — |
| 341 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 342 | C2×#67 | — | 2 | 2 | no | — |
| 343 | C2×#67 | — | 2 | 2 | no | — |
| 344 | C2×#67 | — | 2 | 2 | no | — |
| 345 | C2×#67 | — | 2 | 2 | no | — |
| 346 | C2×#67 | — | 2 | 4 | no | — |
| 347 | C2×#67 | — | 2 | 4 | no | — |
| 348 | C2×#67 | — | 2 | 4 | no | — |
| 349 | C2×#67 | — | 2 | 2 | no | — |
| 350 | C2×#67 | — | 4 | 8 | no | — |
| 351 | C2×#67 | — | 4 | 4 | no | — |
| 352 | C22×Dic3 | — | 2 | 1 | no | — |
| 353 | C22×Dic3 | — | 2 | 2 | no | — |
| 354 | C22×Dic3 | — | 2 | 2 | no | — |
| 355 | C22×Dic3 | — | 2 | 2 | no | — |
| 356 | C22×Dic3 | — | 4 | 4 | no | — |
| 357 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 358 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 359 | #239 | — | 2 | 8 | no | — |
| 360 | #239 | — | 2 | 4 | no | — |
| 361 | #239 | — | 2 | 8 | no | — |
| 362 | #239 | — | 2 | 4 | no | — |
| 363 | #239 | — | 4 | 4 | no | — |
| 364 | #239 | — | 4 | 4 | no | — |
| 365 | D3×Q8 | — | 2 | 4 | no | — |
| 366 | D3×Q8 | — | 2 | 4 | no | — |
| 367 | #237 | — | 2 | 8 | no | — |
| 368 | #237 | — | 2 | 4 | no | — |
| 369 | #237 | — | 2 | 8 | no | — |
| 370 | #237 | — | 2 | 4 | no | — |
| 371 | #237 | — | 4 | 8 | no | — |
| 372 | #237 | — | 4 | 4 | no | — |
| 373 | #237 | — | 4 | 4 | no | — |
| 374 | D3×D4 | — | 2 | 4 | no | — |
| 375 | D3×D4 | — | 2 | 4 | no | — |
| 376 | D3×D4 | — | 4 | 8 | no | — |
| 377 | D3×D4 | — | 4 | 8 | no | — |
| 378 | #235 | — | 2 | 4 | no | — |
| 379 | #235 | — | 2 | 4 | no | — |
| 380 | #235 | — | 4 | 8 | no | — |
| 381 | C2×D12 | — | 2 | 4 | no | — |
| 382 | C2×D12 | — | 2 | 2 | no | — |
| 383 | C2×D12 | — | 2 | 2 | no | — |
| 384 | C2×D12 | — | 2 | 2 | no | — |
| 385 | C2×D12 | — | 2 | 2 | no | — |
| 386 | C2×D12 | — | 2 | 1 | no | — |
| 387 | C2×D12 | — | 4 | 4 | no | — |
| 388 | C2×D12 | C24 | 1 | 2 | yes | — |
| 389 | C2×D12 | C24 | 1 | 2 | yes | — |
| 390 | C2×C4×D3 | — | 2 | 2 | no | — |
| 391 | C2×C4×D3 | — | 2 | 2 | no | — |
| 392 | C2×C4×D3 | — | 2 | 2 | no | — |
| 393 | C2×C4×D3 | — | 2 | 2 | no | — |
| 394 | C2×C4×D3 | — | 2 | 2 | no | — |
| 395 | C2×C4×D3 | — | 4 | 4 | no | — |
| 396 | C2×C4×D3 | — | 4 | 4 | no | — |
| 397 | C2×C4×D3 | — | 4 | 8 | no | — |
| 398 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 399 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 400 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 401 | C2×C4×D3 | C2×D4 | 1 | 2 | yes | — |
| 402 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 403 | C2×C4×D3 | C2×D4 | 1 | 1 | yes | characteristic |
| 404 | C2×C4×D3 | C2×D4 | 1 | 8 | yes | — |
| 405 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 406 | C2×C4×D3 | C24 | 1 | 1 | yes | characteristic |
| 407 | C2×Dic6 | — | 2 | 4 | no | — |
| 408 | C2×Dic6 | — | 2 | 1 | no | — |
| 409 | C2×Dic6 | — | 2 | 2 | no | — |
| 410 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 411 | C2×Dic6 | C24 | 1 | 2 | yes | — |
| 412 | C3×Q16 | — | 2 | 8 | no | — |
| 413 | C3×SD16 | — | 2 | 8 | no | — |
| 414 | C3×SD16 | — | 2 | 8 | no | — |
| 415 | C3×D8 | — | 2 | 8 | no | — |
| 416 | C3×M16 | C2×D4 | 1 | 8 | yes | complemented |
| 417 | C2×C3×C8 | C24 | 1 | 4 | yes | — |
| 418 | C3×C4⋊C4 | — | 2 | 2 | no | — |
| 419 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 420 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 421 | C3×C22⋊C4 | — | 2 | 4 | no | — |
| 422 | C3×C42 | C2×D4 | 1 | 2 | yes | — |
| 423 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 424 | C3×C42 | C24 | 1 | 1 | yes | characteristic |
| 425 | #217 | — | 2 | 4 | no | — |
| 426 | #216 | — | 2 | 8 | no | — |
| 427 | #216 | — | 2 | 8 | no | — |
| 428 | #215 | — | 2 | 8 | no | — |
| 429 | #215 | — | 2 | 8 | no | — |
| 430 | #214 | — | 2 | 8 | no | — |
| 431 | #214 | — | 2 | 8 | no | — |
| 432 | #213 | — | 2 | 8 | no | — |
| 433 | #213 | — | 2 | 8 | no | — |
| 434 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 435 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 436 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 437 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 438 | C4⋊Dic3 | — | 2 | 2 | no | — |
| 439 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 440 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 441 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 442 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 443 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 444 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 445 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 446 | C4×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 447 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 448 | C4×Dic3 | C24 | 1 | 1 | yes | characteristic |
| 449 | #208 | C2×D4 | 1 | 8 | yes | complemented |
| 450 | C2×C3⋊C8 | C24 | 1 | 4 | yes | — |
| 451 | Dic12 | — | 2 | 8 | no | — |
| 452 | D24 | — | 2 | 8 | no | — |
| 453 | #204 | — | 2 | 8 | no | — |
| 454 | #204 | — | 2 | 8 | no | — |
| 455 | ΓL(1,𝔽25) | C2×D4 | 1 | 16 | yes | complemented |
| 456 | D3×C8 | C2×D4 | 1 | 16 | yes | complemented |
| 457 | C2×#41 | — | 3 | 2 | no | — |
| 458 | C2×#41 | — | 3 | 2 | no | — |
| 459 | C2×#41 | — | 3 | 2 | no | — |
| 460 | C2×#41 | — | 3 | 2 | no | — |
| 461 | C2×#41 | — | 3 | 2 | no | — |
| 462 | C2×#41 | — | 3 | 2 | no | — |
| 463 | C2×#41 | — | 3 | 2 | no | — |
| 464 | C2×#41 | — | 6 | 2 | no | — |
| 465 | C2×#41 | — | 6 | 2 | no | — |
| 466 | C2×#41 | — | 6 | 1 | no | — |
| 467 | C2×#41 | — | 6 | 1 | no | — |
| 468 | C2×#41 | — | 6 | 1 | no | — |
| 469 | C2×#41 | — | 6 | 1 | no | — |
| 470 | C2×#41 | — | 6 | 8 | no | — |
| 471 | C2×#41 | — | 6 | 8 | no | — |
| 472 | C2×#41 | — | 6 | 8 | no | — |
| 473 | C2×#41 | — | 6 | 8 | no | — |
| 474 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 475 | C22×Q8 | — | 3 | 2 | no | — |
| 476 | C22×Q8 | — | 3 | 1 | no | — |
| 477 | C22×Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 478 | C22×D4 | — | 3 | 2 | no | — |
| 479 | C22×D4 | — | 3 | 1 | no | — |
| 480 | C22×D4 | — | 6 | 1 | no | — |
| 481 | C22×D4 | — | 6 | 2 | no | — |
| 482 | C22×D4 | — | 6 | 2 | no | — |
| 483 | C22×D4 | — | 6 | 2 | no | — |
| 484 | C22×D4 | — | 6 | 1 | no | — |
| 485 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 486 | C23×C4 | — | 3 | 1 | no | — |
| 487 | C23×C4 | — | 3 | 2 | no | — |
| 488 | C23×C4 | — | 6 | 1 | no | — |
| 489 | C23×C4 | — | 6 | 2 | no | — |
| 490 | C23×C4 | — | 6 | 1 | no | — |
| 491 | #137 | — | 2 | 8 | no | — |
| 492 | #137 | — | 6 | 16 | no | — |
| 493 | #137 | — | 6 | 16 | no | — |
| 494 | #137 | — | 6 | 8 | no | — |
| 495 | #137 | — | 6 | 8 | no | — |
| 496 | #137 | — | 6 | 8 | no | — |
| 497 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 498 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 499 | AGL(1,ℤ/8) | — | 6 | 16 | no | — |
| 500 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 501 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 502 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 503 | #135 | — | 6 | 16 | no | — |
| 504 | #135 | — | 6 | 16 | no | — |
| 505 | #135 | — | 6 | 16 | no | — |
| 506 | #135 | — | 6 | 16 | no | — |
| 507 | C2×Q16 | — | 3 | 4 | no | — |
| 508 | C2×Q16 | — | 3 | 4 | no | — |
| 509 | C2×Q16 | — | 3 | 4 | no | — |
| 510 | C2×Q16 | C22×D3 | 1 | 4 | yes | — |
| 511 | C2×SD16 | — | 3 | 4 | no | — |
| 512 | C2×SD16 | — | 3 | 4 | no | — |
| 513 | C2×SD16 | — | 3 | 4 | no | — |
| 514 | C2×SD16 | — | 3 | 4 | no | — |
| 515 | C2×SD16 | — | 3 | 4 | no | — |
| 516 | C2×SD16 | — | 3 | 4 | no | — |
| 517 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 518 | C2×SD16 | C22×D3 | 1 | 4 | yes | — |
| 519 | C2×D8 | — | 3 | 4 | no | — |
| 520 | C2×D8 | — | 3 | 4 | no | — |
| 521 | C2×D8 | — | 3 | 4 | no | — |
| 522 | C2×D8 | C22×D3 | 1 | 4 | yes | — |
| 523 | C2×M16 | — | 3 | 2 | no | — |
| 524 | C2×M16 | — | 3 | 16 | no | — |
| 525 | C2×M16 | — | 3 | 4 | no | — |
| 526 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 527 | C22×C8 | — | 3 | 4 | no | — |
| 528 | C4⋊Q8 | — | 3 | 2 | no | — |
| 529 | C4⋊Q8 | — | 3 | 2 | no | — |
| 530 | C4⋊Q8 | — | 3 | 2 | no | — |
| 531 | C4⋊Q8 | — | 3 | 1 | no | — |
| 532 | C4⋊Q8 | — | 6 | 2 | no | — |
| 533 | C4⋊Q8 | — | 6 | 2 | no | — |
| 534 | C4⋊Q8 | C22×D3 | 1 | 1 | yes | characteristic |
| 535 | #127 | — | 3 | 2 | no | — |
| 536 | #127 | — | 3 | 2 | no | — |
| 537 | #127 | — | 3 | 2 | no | — |
| 538 | #127 | — | 3 | 1 | no | — |
| 539 | #127 | — | 6 | 2 | no | — |
| 540 | #127 | — | 6 | 2 | no | — |
| 541 | #127 | C22×D3 | 1 | 1 | yes | characteristic |
| 542 | #124 | — | 2 | 2 | no | — |
| 543 | #124 | — | 3 | 2 | no | — |
| 544 | #124 | — | 3 | 2 | no | — |
| 545 | #124 | — | 3 | 2 | no | — |
| 546 | #124 | — | 3 | 2 | no | — |
| 547 | #124 | — | 3 | 2 | no | — |
| 548 | #124 | — | 6 | 4 | no | — |
| 549 | #124 | — | 6 | 2 | no | — |
| 550 | #124 | C22×D3 | 1 | 2 | yes | — |
| 551 | #124 | C22×D3 | 1 | 2 | yes | — |
| 552 | #124 | C22×D3 | 1 | 2 | yes | — |
| 553 | #121 | — | 2 | 2 | no | — |
| 554 | #121 | — | 6 | 4 | no | — |
| 555 | #121 | — | 6 | 4 | no | — |
| 556 | #121 | — | 6 | 4 | no | — |
| 557 | #121 | — | 6 | 4 | no | — |
| 558 | #121 | — | 6 | 4 | no | — |
| 559 | #121 | — | 6 | 2 | no | — |
| 560 | #121 | — | 6 | 2 | no | — |
| 561 | #121 | — | 6 | 4 | no | — |
| 562 | #121 | — | 6 | 2 | no | — |
| 563 | C4×D4 | — | 2 | 2 | no | — |
| 564 | C4×D4 | — | 6 | 4 | no | — |
| 565 | C4×D4 | — | 6 | 4 | no | — |
| 566 | C4×D4 | — | 6 | 4 | no | — |
| 567 | C4×D4 | — | 6 | 4 | no | — |
| 568 | C4×D4 | — | 6 | 4 | no | — |
| 569 | C4×D4 | — | 6 | 2 | no | — |
| 570 | C4×D4 | — | 6 | 4 | no | — |
| 571 | C4×D4 | — | 6 | 2 | no | — |
| 572 | C4×D4 | — | 6 | 2 | no | — |
| 573 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 574 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 575 | C2×C22⋊C4 | — | 2 | 2 | no | — |
| 576 | C2×C22⋊C4 | — | 6 | 4 | no | — |
| 577 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 578 | C2×C42 | — | 3 | 2 | no | — |
| 579 | C2×C42 | — | 3 | 1 | no | — |
| 580 | C2×C42 | — | 3 | 2 | no | — |
| 581 | C2×C42 | — | 3 | 2 | no | — |
| 582 | C2×C42 | — | 3 | 1 | no | — |
| 583 | C2×C42 | — | 3 | 1 | no | — |
| 584 | C2×C42 | — | 3 | 1 | no | — |
| 585 | C2×C42 | — | 3 | 1 | no | — |
| 586 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 587 | #97 | — | 3 | 4 | no | — |
| 588 | #97 | — | 3 | 2 | no | — |
| 589 | #97 | C22×D3 | 1 | 2 | yes | — |
| 590 | C4×C8 | — | 3 | 4 | no | — |
| 591 | C4×C8 | — | 3 | 2 | no | — |
| 592 | C4×C8 | C22×D3 | 1 | 2 | yes | — |
| 593 | C23×C3 | — | 2 | 2 | no | — |
| 594 | C23×C3 | — | 2 | 2 | no | — |
| 595 | C23×C3 | — | 4 | 4 | no | — |
| 596 | C23×C3 | — | 4 | 2 | no | — |
| 597 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 598 | C22×D3 | — | 2 | 2 | no | — |
| 599 | C22×D3 | — | 2 | 2 | no | — |
| 600 | C22×D3 | — | 4 | 2 | no | — |
| 601 | C22×D3 | — | 4 | 8 | no | — |
| 602 | C22×D3 | — | 4 | 4 | no | — |
| 603 | C22×D3 | — | 4 | 2 | no | — |
| 604 | C22×D3 | — | 4 | 4 | no | — |
| 605 | C22×D3 | #127 | 1 | 4 | yes | — |
| 606 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 607 | C22×D3 | C22×D4 | 1 | 1 | yes | characteristic |
| 608 | C3×Q8 | — | 2 | 2 | no | — |
| 609 | C3×Q8 | — | 2 | 4 | no | — |
| 610 | C3×Q8 | — | 2 | 2 | no | — |
| 611 | C3×Q8 | — | 4 | 2 | no | — |
| 612 | C3×D4 | — | 2 | 2 | no | — |
| 613 | C3×D4 | — | 2 | 4 | no | — |
| 614 | C3×D4 | — | 2 | 2 | no | — |
| 615 | C3×D4 | — | 4 | 4 | no | — |
| 616 | C3×D4 | — | 4 | 4 | no | — |
| 617 | C3×D4 | — | 4 | 2 | no | — |
| 618 | C2×C3×C4 | — | 2 | 2 | no | — |
| 619 | C2×C3×C4 | — | 2 | 2 | no | — |
| 620 | C2×C3×C4 | — | 4 | 2 | no | — |
| 621 | C2×C3×C4 | — | 4 | 2 | no | — |
| 622 | C2×C3×C4 | — | 4 | 4 | no | — |
| 623 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 624 | C2×C3×C4 | C22×D4 | 1 | 2 | yes | — |
| 625 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 626 | C2×C3×C4 | C22×D4 | 1 | 4 | yes | — |
| 627 | C2×C3×C4 | C25 | 1 | 1 | yes | characteristic |
| 628 | #67 | — | 4 | 8 | no | — |
| 629 | #67 | — | 4 | 4 | no | — |
| 630 | #67 | — | 4 | 4 | no | — |
| 631 | #67 | — | 4 | 4 | no | — |
| 632 | #67 | — | 4 | 4 | no | — |
| 633 | #67 | — | 4 | 4 | no | — |
| 634 | #67 | — | 4 | 8 | no | — |
| 635 | #67 | — | 4 | 8 | no | — |
| 636 | C2×Dic3 | — | 2 | 4 | no | — |
| 637 | C2×Dic3 | — | 2 | 2 | no | — |
| 638 | C2×Dic3 | — | 2 | 2 | no | — |
| 639 | C2×Dic3 | — | 4 | 2 | no | — |
| 640 | C2×Dic3 | — | 4 | 4 | no | — |
| 641 | C2×Dic3 | — | 4 | 4 | no | — |
| 642 | C2×Dic3 | — | 4 | 4 | no | — |
| 643 | C2×Dic3 | #127 | 1 | 4 | yes | — |
| 644 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 645 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 646 | C2×Dic3 | C22×D4 | 1 | 1 | yes | characteristic |
| 647 | C2×Dic3 | C22×D4 | 1 | 2 | yes | — |
| 648 | D12 | — | 2 | 2 | no | — |
| 649 | D12 | — | 2 | 4 | no | — |
| 650 | D12 | — | 2 | 2 | no | — |
| 651 | D12 | — | 4 | 4 | no | — |
| 652 | D12 | — | 4 | 4 | no | — |
| 653 | D12 | — | 4 | 4 | no | — |
| 654 | D12 | — | 4 | 4 | no | — |
| 655 | D12 | — | 4 | 2 | no | — |
| 656 | C4×D3 | — | 2 | 4 | no | — |
| 657 | C4×D3 | — | 2 | 4 | no | — |
| 658 | C4×D3 | — | 4 | 2 | no | — |
| 659 | C4×D3 | — | 4 | 2 | no | — |
| 660 | C4×D3 | — | 4 | 4 | no | — |
| 661 | C4×D3 | — | 4 | 4 | no | — |
| 662 | C4×D3 | — | 4 | 4 | no | — |
| 663 | C4×D3 | — | 4 | 4 | no | — |
| 664 | C4×D3 | — | 4 | 4 | no | — |
| 665 | C4×D3 | #127 | 1 | 4 | yes | — |
| 666 | C4×D3 | #127 | 1 | 4 | yes | — |
| 667 | C4×D3 | C22×D4 | 1 | 4 | yes | — |
| 668 | C4×D3 | C22×D4 | 1 | 4 | yes | — |
| 669 | Dic6 | — | 2 | 2 | no | — |
| 670 | Dic6 | — | 2 | 4 | no | — |
| 671 | Dic6 | — | 2 | 2 | no | — |
| 672 | Dic6 | — | 4 | 2 | no | — |
| 673 | Dic6 | — | 4 | 4 | no | — |
| 674 | C3×C8 | C22×D4 | 1 | 8 | yes | — |
| 675 | C3⋊C8 | C22×D4 | 1 | 8 | yes | — |
| 676 | C24 | — | 2 | 1 | no | — |
| 677 | C24 | — | 3 | 1 | no | — |
| 678 | C24 | — | 6 | 2 | no | — |
| 679 | C24 | — | 6 | 1 | no | — |
| 680 | #41 | — | 2 | 4 | no | — |
| 681 | #41 | — | 2 | 4 | no | — |
| 682 | #41 | — | 6 | 4 | no | — |
| 683 | #41 | — | 6 | 8 | no | — |
| 684 | #41 | — | 6 | 4 | no | — |
| 685 | #41 | — | 6 | 8 | no | — |
| 686 | #41 | — | 6 | 4 | no | — |
| 687 | #41 | — | 6 | 8 | no | — |
| 688 | #41 | — | 6 | 4 | no | — |
| 689 | #41 | — | 6 | 8 | no | — |
| 690 | #41 | — | 6 | 4 | no | — |
| 691 | #41 | — | 6 | 4 | no | — |
| 692 | #41 | — | 12 | 8 | no | — |
| 693 | #41 | — | 12 | 8 | no | — |
| 694 | #41 | — | 12 | 4 | no | — |
| 695 | #41 | — | 12 | 4 | no | — |
| 696 | #41 | — | 12 | 4 | no | — |
| 697 | #41 | — | 12 | 4 | no | — |
| 698 | C2×Q8 | — | 2 | 1 | no | — |
| 699 | C2×Q8 | — | 2 | 4 | no | — |
| 700 | C2×Q8 | — | 3 | 2 | no | — |
| 701 | C2×Q8 | — | 3 | 2 | no | — |
| 702 | C2×Q8 | — | 6 | 2 | no | — |
| 703 | C2×Q8 | — | 6 | 4 | no | — |
| 704 | C2×Q8 | — | 6 | 4 | no | — |
| 705 | C2×Q8 | — | 6 | 1 | no | — |
| 706 | C2×Q8 | — | 6 | 4 | no | — |
| 707 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 708 | C2×Q8 | C23×D3 | 1 | 2 | yes | — |
| 709 | C2×D4 | — | 2 | 2 | no | — |
| 710 | C2×D4 | — | 2 | 4 | no | — |
| 711 | C2×D4 | — | 2 | 2 | no | — |
| 712 | C2×D4 | — | 2 | 1 | no | — |
| 713 | C2×D4 | — | 3 | 2 | no | — |
| 714 | C2×D4 | — | 3 | 2 | no | — |
| 715 | C2×D4 | — | 6 | 2 | no | — |
| 716 | C2×D4 | — | 6 | 2 | no | — |
| 717 | C2×D4 | — | 6 | 2 | no | — |
| 718 | C2×D4 | — | 6 | 4 | no | — |
| 719 | C2×D4 | — | 6 | 4 | no | — |
| 720 | C2×D4 | — | 6 | 4 | no | — |
| 721 | C2×D4 | — | 6 | 4 | no | — |
| 722 | C2×D4 | — | 6 | 4 | no | — |
| 723 | C2×D4 | — | 6 | 2 | no | — |
| 724 | C2×D4 | — | 6 | 2 | no | — |
| 725 | C2×D4 | — | 6 | 2 | no | — |
| 726 | C2×D4 | — | 6 | 2 | no | — |
| 727 | C2×D4 | — | 6 | 2 | no | — |
| 728 | C2×D4 | — | 6 | 4 | no | — |
| 729 | C2×D4 | — | 6 | 2 | no | — |
| 730 | C2×D4 | — | 6 | 1 | no | — |
| 731 | C2×D4 | — | 12 | 4 | no | — |
| 732 | C2×D4 | — | 12 | 8 | no | — |
| 733 | C2×D4 | — | 12 | 8 | no | — |
| 734 | C2×D4 | — | 12 | 8 | no | — |
| 735 | C2×D4 | — | 12 | 4 | no | — |
| 736 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 737 | C2×D4 | C23×D3 | 1 | 2 | yes | — |
| 738 | C22×C4 | — | 2 | 1 | no | — |
| 739 | C22×C4 | — | 2 | 2 | no | — |
| 740 | C22×C4 | — | 3 | 1 | no | — |
| 741 | C22×C4 | — | 3 | 1 | no | — |
| 742 | C22×C4 | — | 3 | 1 | no | — |
| 743 | C22×C4 | — | 3 | 8 | no | — |
| 744 | C22×C4 | — | 3 | 1 | no | — |
| 745 | C22×C4 | — | 3 | 1 | no | — |
| 746 | C22×C4 | — | 3 | 2 | no | — |
| 747 | C22×C4 | — | 3 | 2 | no | — |
| 748 | C22×C4 | — | 3 | 2 | no | — |
| 749 | C22×C4 | — | 3 | 2 | no | — |
| 750 | C22×C4 | — | 3 | 2 | no | — |
| 751 | C22×C4 | — | 6 | 2 | no | — |
| 752 | C22×C4 | — | 6 | 2 | no | — |
| 753 | C22×C4 | — | 6 | 2 | no | — |
| 754 | C22×C4 | — | 6 | 2 | no | — |
| 755 | C22×C4 | — | 6 | 2 | no | — |
| 756 | C22×C4 | — | 6 | 2 | no | — |
| 757 | C22×C4 | — | 6 | 2 | no | — |
| 758 | C22×C4 | — | 6 | 1 | no | — |
| 759 | C22×C4 | — | 6 | 2 | no | — |
| 760 | C22×C4 | — | 12 | 4 | no | — |
| 761 | C22×C4 | — | 12 | 8 | no | — |
| 762 | C22×C4 | — | 12 | 4 | no | — |
| 763 | C22×C4 | — | 12 | 4 | no | — |
| 764 | C22×C4 | D3×D4 | 1 | 2 | yes | — |
| 765 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 766 | Q16 | — | 2 | 8 | no | — |
| 767 | Q16 | — | 6 | 8 | no | — |
| 768 | Q16 | — | 6 | 8 | no | — |
| 769 | Q16 | — | 6 | 8 | no | — |
| 770 | SD16 | — | 2 | 8 | no | — |
| 771 | SD16 | — | 2 | 8 | no | — |
| 772 | SD16 | — | 6 | 8 | no | — |
| 773 | SD16 | — | 6 | 8 | no | — |
| 774 | SD16 | — | 6 | 8 | no | — |
| 775 | SD16 | — | 6 | 8 | no | — |
| 776 | SD16 | — | 6 | 8 | no | — |
| 777 | SD16 | — | 6 | 8 | no | — |
| 778 | D8 | — | 2 | 8 | no | — |
| 779 | D8 | — | 6 | 8 | no | — |
| 780 | D8 | — | 6 | 8 | no | — |
| 781 | D8 | — | 6 | 8 | no | — |
| 782 | M16 | — | 3 | 8 | no | — |
| 783 | M16 | — | 3 | 16 | no | — |
| 784 | M16 | D3×D4 | 1 | 8 | yes | complemented |
| 785 | C2×C8 | — | 3 | 4 | no | — |
| 786 | C2×C8 | — | 3 | 16 | no | — |
| 787 | C2×C8 | C23×D3 | 1 | 4 | yes | — |
| 788 | C4⋊C4 | — | 2 | 2 | no | — |
| 789 | C4⋊C4 | — | 6 | 4 | no | — |
| 790 | C4⋊C4 | — | 6 | 4 | no | — |
| 791 | C4⋊C4 | — | 6 | 4 | no | — |
| 792 | C4⋊C4 | — | 6 | 2 | no | — |
| 793 | C22⋊C4 | — | 2 | 4 | no | — |
| 794 | C22⋊C4 | — | 2 | 4 | no | — |
| 795 | C22⋊C4 | — | 2 | 4 | no | — |
| 796 | C22⋊C4 | — | 6 | 4 | no | — |
| 797 | C22⋊C4 | — | 6 | 4 | no | — |
| 798 | C22⋊C4 | — | 6 | 4 | no | — |
| 799 | C22⋊C4 | — | 6 | 4 | no | — |
| 800 | C22⋊C4 | — | 6 | 4 | no | — |
| 801 | C42 | — | 3 | 2 | no | — |
| 802 | C42 | — | 3 | 2 | no | — |
| 803 | C42 | — | 3 | 2 | no | — |
| 804 | C42 | — | 3 | 2 | no | — |
| 805 | C42 | — | 3 | 2 | no | — |
| 806 | C42 | — | 3 | 1 | no | — |
| 807 | C42 | — | 3 | 1 | no | — |
| 808 | C42 | D3×D4 | 1 | 2 | yes | — |
| 809 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 810 | C42 | C23×D3 | 1 | 1 | yes | characteristic |
| 811 | C22×C3 | — | 2 | 2 | no | — |
| 812 | C22×C3 | — | 4 | 2 | no | — |
| 813 | C22×C3 | — | 4 | 2 | no | — |
| 814 | C22×C3 | — | 4 | 4 | no | — |
| 815 | C22×C3 | — | 4 | 4 | no | — |
| 816 | C22×C3 | — | 8 | 4 | no | — |
| 817 | C22×C3 | C2×#127 | 1 | 2 | yes | — |
| 818 | C22×C3 | C23×D4 | 1 | 1 | yes | characteristic |
| 819 | C2×D3 | — | 2 | 2 | no | — |
| 820 | C2×D3 | — | 2 | 2 | no | — |
| 821 | C2×D3 | — | 4 | 4 | no | — |
| 822 | C2×D3 | — | 4 | 2 | no | — |
| 823 | C2×D3 | — | 4 | 2 | no | — |
| 824 | C2×D3 | — | 4 | 4 | no | — |
| 825 | C2×D3 | — | 4 | 4 | no | — |
| 826 | C2×D3 | — | 8 | 8 | no | — |
| 827 | C2×D3 | — | 8 | 4 | no | — |
| 828 | C2×D3 | C2×#127 | 1 | 2 | yes | — |
| 829 | C2×D3 | C2×#127 | 1 | 2 | yes | — |
| 830 | C3×C4 | — | 2 | 2 | no | — |
| 831 | C3×C4 | — | 2 | 2 | no | — |
| 832 | C3×C4 | — | 4 | 2 | no | — |
| 833 | C3×C4 | — | 4 | 2 | no | — |
| 834 | C3×C4 | C2×#127 | 1 | 2 | yes | — |
| 835 | C3×C4 | C23×D4 | 1 | 2 | yes | — |
| 836 | Dic3 | — | 2 | 2 | no | — |
| 837 | Dic3 | — | 4 | 2 | no | — |
| 838 | Dic3 | — | 4 | 2 | no | — |
| 839 | Dic3 | C2×#127 | 1 | 2 | yes | — |
| 840 | Dic3 | C2×#127 | 1 | 2 | yes | — |
| 841 | Dic3 | #575 | 1 | 4 | yes | complemented |
| 842 | C23 | — | 2 | 2 | no | — |
| 843 | C23 | — | 2 | 2 | no | — |
| 844 | C23 | — | 3 | 1 | no | — |
| 845 | C23 | — | 3 | 1 | no | — |
| 846 | C23 | — | 3 | 4 | no | — |
| 847 | C23 | — | 4 | 4 | no | — |
| 848 | C23 | — | 4 | 2 | no | — |
| 849 | C23 | — | 6 | 2 | no | — |
| 850 | C23 | — | 6 | 2 | no | — |
| 851 | C23 | — | 12 | 2 | no | — |
| 852 | C23 | — | 12 | 4 | no | — |
| 853 | C23 | — | 12 | 4 | no | — |
| 854 | C23 | — | 12 | 8 | no | — |
| 855 | C23 | — | 12 | 2 | no | — |
| 856 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 857 | Q8 | — | 2 | 2 | no | — |
| 858 | Q8 | — | 2 | 4 | no | — |
| 859 | Q8 | — | 2 | 2 | no | — |
| 860 | Q8 | — | 4 | 2 | no | — |
| 861 | Q8 | — | 6 | 2 | no | — |
| 862 | Q8 | — | 6 | 4 | no | — |
| 863 | Q8 | — | 6 | 2 | no | — |
| 864 | Q8 | — | 12 | 4 | no | — |
| 865 | Q8 | — | 12 | 2 | no | — |
| 866 | D4 | — | 2 | 2 | no | — |
| 867 | D4 | — | 2 | 4 | no | — |
| 868 | D4 | — | 2 | 2 | no | — |
| 869 | D4 | — | 4 | 4 | no | — |
| 870 | D4 | — | 4 | 4 | no | — |
| 871 | D4 | — | 4 | 2 | no | — |
| 872 | D4 | — | 6 | 2 | no | — |
| 873 | D4 | — | 6 | 4 | no | — |
| 874 | D4 | — | 6 | 2 | no | — |
| 875 | D4 | — | 12 | 4 | no | — |
| 876 | D4 | — | 12 | 4 | no | — |
| 877 | D4 | — | 12 | 8 | no | — |
| 878 | D4 | — | 12 | 8 | no | — |
| 879 | D4 | — | 12 | 4 | no | — |
| 880 | D4 | — | 12 | 4 | no | — |
| 881 | D4 | — | 12 | 4 | no | — |
| 882 | D4 | — | 12 | 8 | no | — |
| 883 | D4 | — | 12 | 4 | no | — |
| 884 | D4 | — | 12 | 4 | no | — |
| 885 | D4 | — | 12 | 4 | no | — |
| 886 | D4 | — | 12 | 4 | no | — |
| 887 | D4 | — | 12 | 2 | no | — |
| 888 | C2×C4 | — | 2 | 2 | no | — |
| 889 | C2×C4 | — | 2 | 2 | no | — |
| 890 | C2×C4 | — | 3 | 2 | no | — |
| 891 | C2×C4 | — | 3 | 1 | no | — |
| 892 | C2×C4 | — | 3 | 1 | no | — |
| 893 | C2×C4 | — | 3 | 4 | no | — |
| 894 | C2×C4 | — | 3 | 4 | no | — |
| 895 | C2×C4 | — | 3 | 4 | no | — |
| 896 | C2×C4 | — | 3 | 4 | no | — |
| 897 | C2×C4 | — | 3 | 4 | no | — |
| 898 | C2×C4 | — | 3 | 2 | no | — |
| 899 | C2×C4 | — | 4 | 2 | no | — |
| 900 | C2×C4 | — | 4 | 2 | no | — |
| 901 | C2×C4 | — | 4 | 4 | no | — |
| 902 | C2×C4 | — | 6 | 4 | no | — |
| 903 | C2×C4 | — | 6 | 4 | no | — |
| 904 | C2×C4 | — | 6 | 4 | no | — |
| 905 | C2×C4 | — | 6 | 2 | no | — |
| 906 | C2×C4 | — | 6 | 2 | no | — |
| 907 | C2×C4 | — | 12 | 2 | no | — |
| 908 | C2×C4 | — | 12 | 2 | no | — |
| 909 | C2×C4 | — | 12 | 4 | no | — |
| 910 | C2×C4 | — | 12 | 4 | no | — |
| 911 | C2×C4 | — | 12 | 4 | no | — |
| 912 | C2×C4 | — | 12 | 4 | no | — |
| 913 | C2×C4 | — | 12 | 4 | no | — |
| 914 | C2×C4 | — | 12 | 4 | no | — |
| 915 | C2×C4 | — | 12 | 4 | no | — |
| 916 | C2×C4 | — | 12 | 2 | no | — |
| 917 | C2×C4 | — | 12 | 4 | no | — |
| 918 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 919 | C2×C4 | C2×D3×D4 | 1 | 2 | yes | — |
| 920 | C2×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 921 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 922 | C2×C4 | C24×D3 | 1 | 1 | yes | characteristic |
| 923 | C8 | — | 3 | 8 | no | — |
| 924 | C8 | C2×D3×D4 | 1 | 8 | yes | — |
| 925 | C2×C3 | — | 2 | 2 | no | — |
| 926 | C2×C3 | — | 8 | 2 | no | — |
| 927 | C2×C3 | — | 8 | 2 | no | — |
| 928 | C2×C3 | C22×#127 | 1 | 1 | yes | characteristic |
| 929 | C2×C3 | C2×#575 | 1 | 2 | yes | — |
| 930 | D3 | — | 2 | 2 | no | — |
| 931 | D3 | — | 2 | 2 | no | — |
| 932 | D3 | — | 8 | 2 | no | — |
| 933 | D3 | — | 8 | 2 | no | — |
| 934 | C22 | — | 2 | 2 | no | — |
| 935 | C22 | — | 3 | 2 | no | — |
| 936 | C22 | — | 3 | 2 | no | — |
| 937 | C22 | — | 4 | 4 | no | — |
| 938 | C22 | — | 4 | 4 | no | — |
| 939 | C22 | — | 4 | 2 | no | — |
| 940 | C22 | — | 4 | 2 | no | — |
| 941 | C22 | — | 6 | 2 | no | — |
| 942 | C22 | — | 6 | 2 | no | — |
| 943 | C22 | — | 8 | 4 | no | — |
| 944 | C22 | — | 12 | 4 | no | — |
| 945 | C22 | — | 12 | 4 | no | — |
| 946 | C22 | — | 12 | 4 | no | — |
| 947 | C22 | — | 12 | 2 | no | — |
| 948 | C22 | — | 12 | 2 | no | — |
| 949 | C22 | — | 24 | 4 | no | — |
| 950 | C22 | — | 24 | 8 | no | — |
| 951 | C22 | D3×#127 | 1 | 2 | yes | — |
| 952 | C22 | C22×D3×D4 | 1 | 1 | yes | characteristic |
| 953 | C4 | — | 2 | 2 | no | — |
| 954 | C4 | — | 2 | 2 | no | — |
| 955 | C4 | — | 3 | 4 | no | — |
| 956 | C4 | — | 3 | 2 | no | — |
| 957 | C4 | — | 3 | 2 | no | — |
| 958 | C4 | — | 4 | 2 | no | — |
| 959 | C4 | — | 4 | 2 | no | — |
| 960 | C4 | — | 6 | 2 | no | — |
| 961 | C4 | — | 12 | 2 | no | — |
| 962 | C4 | — | 12 | 2 | no | — |
| 963 | C4 | D3×#127 | 1 | 2 | yes | — |
| 964 | C4 | C22×D3×D4 | 1 | 2 | yes | — |
| 965 | C3 | #60639 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 966 | C2 | — | 2 | 2 | no | — |
| 967 | C2 | — | 6 | 2 | no | — |
| 968 | C2 | — | 6 | 2 | no | — |
| 969 | C2 | — | 8 | 2 | no | — |
| 970 | C2 | — | 8 | 2 | no | — |
| 971 | C2 | — | 24 | 2 | no | — |
| 972 | C2 | — | 24 | 2 | no | — |
| 973 | C2 | C2×D3×#127 | 1 | 1 | yes | characteristic |
| 974 | C2 | D3×#575 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#5777 | C2 | semidirect |
| 2. C2×#5773 | C2 | semidirect |
| 3. D3×#532 | C2 | semidirect |
| 4. C2×#5668 | C2 | semidirect |
| 5. C3×#3153 | C2 | semidirect |
| 6. #83972 | C2 | semidirect |
| 7. #83937 | C2 | semidirect |
| 8. #83289 | C2 | semidirect |
| 9. #82943 | C2 | semidirect |
| 10. #81870 | C2 | semidirect |
| 11. #81869 | C2 | semidirect |
| 12. #81845 | C2 | semidirect |
| 13. #81844 | C2 | semidirect |
| 14. #81821 | C2 | semidirect |
| 15. #81820 | C2 | semidirect |
| 16. #78531 | C2 | semidirect |
| 17. C4×D3×M16 | C2 | semidirect |
| 22. C2×C3×#137 | C22 | semidirect |
| 23. C2×C3×AGL(1,ℤ/8) | C22 | semidirect |
| 25. C2×C3×#124 | C22 | semidirect |
| 27. C2×#951 | C22 | semidirect |
| 28. C2×#949 | C22 | semidirect |
| 29. C2×#944 | C22 | semidirect |
| 30. C2×#942 | C22 | semidirect |
| 31. C2×#940 | C22 | semidirect |
| 32. C2×#932 | C22 | semidirect |
| 35. C2×#919 | C22 | semidirect |
| 36. C2×#918 | C22 | semidirect |
| 37. C2×#916 | C22 | semidirect |
| 38. C2×#916 | C22 | semidirect |
| 39. C2×#915 | C22 | semidirect |
| 40. C2×#914 | C22 | semidirect |
| 41. C2×#912 | C22 | semidirect |
| 42. C2×#911 | C22 | semidirect |
| 43. C2×#909 | C22 | semidirect |
| 44. C2×#908 | C22 | semidirect |
| 46. #5725 | C22 | semidirect |
| 47. D3×C4⋊Q8 | C22 | semidirect |
| 48. #5716 | C22 | semidirect |
| 49. D3×#127 | C22 | semidirect |
| 50. D3×#124 | C22 | semidirect |
| 55. #5668 | C22 | semidirect |
| 56. #5668 | C22 | semidirect |
| 57. #5668 | C22 | semidirect |
| 65. C2×#875 | C22 | semidirect |
| 67. C3×#497 | C22 | semidirect |
| 68. C3×#496 | C22 | semidirect |
| 69. C3×#495 | C22 | semidirect |
| 70. C3×C4×M16 | C22 | semidirect |
| 71. #5190 | C22 | semidirect |
| 72. #5183 | C22 | semidirect |
| 73. #5176 | C22 | semidirect |
| 74. #5175 | C22 | semidirect |
| 75. #5175 | C22 | semidirect |
| 76. #5167 | C22 | semidirect |
| 77. #5154 | C22 | semidirect |
| 78. #5151 | C22 | semidirect |
| 79. Dic3×M16 | C22 | semidirect |
| 80. #5086 | C22 | semidirect |
| 81. #5074 | C22 | semidirect |
| 82. #5060 | C22 | semidirect |
| 83. #5059 | C22 | semidirect |
| 84. #5059 | C22 | semidirect |
| 85. #5058 | C22 | semidirect |
| 86. C4×#208 | C22 | semidirect |
| 87. #4715 | C22 | semidirect |
| 88. #4712 | C22 | semidirect |
| 89. #4707 | C22 | semidirect |
| 90. D3×#97 | C22 | semidirect |
| 91. #4696 | C22 | semidirect |
| 92. C4×ΓL(1,𝔽25) | C22 | semidirect |
| 93. C4×D3×C8 | C22 | semidirect |
| 102. #3153 | D3 | semidirect |
| 205. D3×M16 | D4 | semidirect |
| 257. C2×#137 | C2×D3 | semidirect |
| 263. C2×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 289. C2×#124 | C2×D3 | semidirect |
| 300. #497 | C2×D3 | semidirect |
| 306. #496 | C2×D3 | semidirect |
| 310. #495 | C2×D3 | semidirect |
| 319. C4×M16 | C2×D3 | semidirect |
| 416. C3×M16 | C2×D4 | semidirect |
| 449. #208 | C2×D4 | semidirect |
| 455. ΓL(1,𝔽25) | C2×D4 | semidirect |
| 456. D3×C8 | C2×D4 | semidirect |
| 784. M16 | D3×D4 | semidirect |
| 841. Dic3 | #575 | semidirect |
| 965. C3 | #60639 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#5777 | 2 |
| C2×#5773 | 2 |
| D3×#532 | 2 |
| C2×#5668 | 2 |
| C3×#3153 | 2 |
| #83972 | 2 |
| #83937 | 2 |
| #83289 | 2 |
| #82943 | 2 |
| #81870 | 2 |
| #81869 | 2 |
| #81845 | 2 |
| #81844 | 2 |
| #81821 | 2 |
| #81820 | 2 |
| #78531 | 2 |
| C4×D3×M16 | 2 |
| #60639 | 3 |