Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1494 conjugacy classes of subgroups.
The subgroup lattice has 744 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #86241 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #83297 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #79055 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | C2×#4822 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #73389 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | C3×#1963 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #70527 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #70392 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #70384 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #70362 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #69440 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #24226 | — | 3 | 1 | no | maximal, Sylow |
| 13 | C2×#1009 | C22 | 1 | 2 | yes | — |
| 14 | C3×#532 | C22 | 1 | 1 | yes | characteristic |
| 15 | #5833 | C22 | 1 | 2 | yes | — |
| 16 | C2×#949 | C22 | 1 | 2 | yes | complemented |
| 17 | C2×#908 | C22 | 1 | 2 | yes | complemented |
| 18 | #5726 | — | 2 | 1 | no | — |
| 19 | #5717 | — | 2 | 1 | no | — |
| 20 | #5676 | — | 2 | 2 | no | — |
| 21 | #5605 | — | 2 | 2 | no | — |
| 22 | D3×#121 | — | 2 | 2 | no | — |
| 23 | #5551 | — | 2 | 1 | no | — |
| 24 | #5550 | — | 2 | 2 | no | — |
| 25 | D4×D12 | — | 2 | 1 | no | — |
| 26 | #5477 | C22 | 1 | 1 | yes | characteristic |
| 27 | C2×#874 | C22 | 1 | 1 | yes | characteristic |
| 28 | C2×C4×D12 | C22 | 1 | 1 | yes | characteristic |
| 29 | C2×C4×D12 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C3×#423 | C22 | 1 | 1 | yes | characteristic, complemented |
| 31 | C2×C3×#104 | C22 | 1 | 2 | yes | complemented |
| 32 | C2×C3×#104 | C22 | 1 | 2 | yes | complemented |
| 33 | C3×#376 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #5232 | C22 | 1 | 2 | yes | complemented |
| 35 | #5133 | C22 | 1 | 2 | yes | complemented |
| 36 | C2×#823 | C22 | 1 | 2 | yes | — |
| 37 | #5083 | — | 2 | 1 | no | — |
| 38 | #5072 | — | 2 | 1 | no | — |
| 39 | #5057 | — | 2 | 2 | no | — |
| 40 | #4939 | C22 | 1 | 1 | yes | characteristic |
| 41 | #4939 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #4936 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#805 | C22 | 1 | 2 | yes | complemented |
| 44 | C2×#805 | C22 | 1 | 2 | yes | complemented |
| 45 | #4924 | C22 | 1 | 1 | yes | characteristic, complemented |
| 46 | #4844 | — | 2 | 2 | no | — |
| 47 | #4843 | — | 2 | 1 | no | — |
| 48 | #4841 | — | 2 | 1 | no | — |
| 49 | #4822 | — | 2 | 8 | no | — |
| 50 | #4665 | — | 2 | 2 | no | — |
| 51 | #4665 | — | 2 | 2 | no | — |
| 52 | #4554 | C22 | 1 | 2 | yes | complemented |
| 53 | #3496 | — | 3 | 1 | no | — |
| 54 | #3036 | — | 3 | 1 | no | — |
| 55 | #3036 | — | 3 | 1 | no | — |
| 56 | C2×#453 | — | 3 | 2 | no | — |
| 57 | #2328 | — | 3 | 1 | no | — |
| 58 | #2040 | — | 3 | 2 | no | — |
| 59 | #2006 | — | 3 | 2 | no | — |
| 60 | #1963 | — | 3 | 1 | no | — |
| 61 | #1963 | D3 | 1 | 1 | yes | characteristic, complemented |
| 62 | #1800 | — | 3 | 1 | no | — |
| 63 | #1792 | — | 3 | 2 | no | — |
| 64 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 65 | #1009 | — | 2 | 4 | no | — |
| 66 | #1009 | — | 2 | 4 | no | — |
| 67 | #1009 | — | 4 | 2 | no | — |
| 68 | #1009 | — | 4 | 2 | no | — |
| 69 | C2×#239 | — | 2 | 2 | no | — |
| 70 | C2×D3×D4 | — | 2 | 4 | no | — |
| 71 | C2×D3×D4 | — | 2 | 2 | no | — |
| 72 | C2×D3×D4 | — | 2 | 2 | no | — |
| 73 | C2×#235 | — | 2 | 2 | no | — |
| 74 | C2×#235 | C23 | 1 | 2 | yes | — |
| 75 | C22×D12 | — | 2 | 2 | no | — |
| 76 | C22×D12 | — | 2 | 2 | no | — |
| 77 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 78 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 79 | C22×C4×D3 | — | 2 | 1 | no | — |
| 80 | C22×C4×D3 | D4 | 1 | 2 | yes | — |
| 81 | C2×C3×M16 | C23 | 1 | 2 | yes | — |
| 82 | C3×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 83 | C3×#127 | D4 | 1 | 1 | yes | characteristic, complemented |
| 84 | C3×#124 | D4 | 1 | 2 | yes | complemented |
| 85 | C3×#121 | — | 2 | 1 | no | — |
| 86 | C3×#121 | — | 2 | 1 | no | — |
| 87 | C3×C4×D4 | — | 2 | 1 | no | — |
| 88 | C3×C4×D4 | — | 2 | 1 | no | — |
| 89 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 90 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 91 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 92 | #949 | — | 2 | 4 | no | — |
| 93 | #949 | — | 4 | 2 | no | — |
| 94 | #946 | — | 2 | 2 | no | — |
| 95 | C2×#215 | — | 2 | 2 | no | — |
| 96 | #939 | — | 2 | 4 | no | — |
| 97 | #938 | — | 2 | 2 | no | — |
| 98 | #938 | — | 2 | 2 | no | — |
| 99 | #937 | — | 2 | 4 | no | — |
| 100 | C2×#213 | — | 2 | 2 | no | — |
| 101 | #930 | — | 2 | 1 | no | — |
| 102 | #930 | — | 2 | 1 | no | — |
| 103 | #930 | — | 2 | 2 | no | — |
| 104 | C2×(C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 105 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 106 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 107 | C2×(C2×D3)⋊C4 | D4 | 1 | 2 | yes | — |
| 108 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 110 | #924 | — | 2 | 2 | no | — |
| 111 | C2×#208 | C23 | 1 | 2 | yes | — |
| 112 | #908 | — | 2 | 4 | no | — |
| 113 | #908 | — | 4 | 2 | no | — |
| 114 | C2×D24 | — | 2 | 2 | no | — |
| 115 | C2×#204 | — | 2 | 2 | no | — |
| 116 | #895 | — | 2 | 2 | no | — |
| 117 | #894 | — | 2 | 4 | no | — |
| 118 | D3×C4⋊C4 | — | 2 | 2 | no | — |
| 119 | #884 | — | 2 | 4 | no | — |
| 120 | #883 | — | 2 | 4 | no | — |
| 121 | #882 | — | 2 | 4 | no | — |
| 122 | D3×C22⋊C4 | — | 2 | 4 | no | — |
| 123 | #875 | D4 | 1 | 2 | yes | complemented |
| 124 | #874 | — | 2 | 2 | no | — |
| 125 | #874 | D4 | 1 | 1 | yes | characteristic, complemented |
| 126 | #874 | D4 | 1 | 4 | yes | complemented |
| 127 | C4×D12 | — | 2 | 1 | no | — |
| 128 | C4×D12 | — | 2 | 1 | no | — |
| 129 | C4×D12 | — | 2 | 1 | no | — |
| 130 | C4×D12 | — | 2 | 1 | no | — |
| 131 | C4×D12 | — | 2 | 1 | no | — |
| 132 | C4×D12 | — | 2 | 1 | no | — |
| 133 | C4×D12 | — | 2 | 1 | no | — |
| 134 | C4×D12 | — | 2 | 1 | no | — |
| 135 | C4×D12 | — | 2 | 1 | no | — |
| 136 | C4×D12 | — | 2 | 1 | no | — |
| 137 | #869 | D4 | 1 | 1 | yes | characteristic, complemented |
| 138 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 139 | C3×C4⋊C8 | — | 2 | 1 | no | — |
| 140 | C3×#104 | — | 2 | 4 | no | — |
| 141 | C3×#104 | — | 4 | 2 | no | — |
| 142 | C3×#95 | — | 2 | 1 | no | — |
| 143 | C3×#95 | — | 2 | 1 | no | — |
| 144 | #835 | — | 2 | 2 | no | — |
| 145 | #832 | — | 2 | 2 | no | — |
| 146 | C3⋊#95 | — | 2 | 2 | no | — |
| 147 | #823 | — | 2 | 4 | no | — |
| 148 | #821 | — | 2 | 2 | no | — |
| 149 | #816 | — | 2 | 2 | no | — |
| 150 | #805 | — | 2 | 4 | no | — |
| 151 | #805 | — | 4 | 2 | no | — |
| 152 | C4⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 153 | C4⋊(C3⋊C8) | — | 2 | 1 | no | — |
| 154 | C2×H(5,𝔽2) | — | 3 | 2 | no | — |
| 155 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 156 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 157 | #547 | — | 6 | 1 | no | — |
| 158 | #547 | — | 6 | 1 | no | — |
| 159 | #546 | — | 6 | 2 | no | — |
| 160 | #546 | — | 6 | 2 | no | — |
| 161 | D42 | — | 6 | 1 | no | — |
| 162 | D42 | — | 6 | 1 | no | — |
| 163 | #537 | — | 3 | 2 | no | — |
| 164 | #534 | — | 6 | 2 | no | — |
| 165 | #532 | — | 3 | 1 | no | — |
| 166 | #532 | C2×D3 | 1 | 1 | yes | characteristic |
| 167 | C2×#127 | — | 3 | 1 | no | — |
| 168 | C2×#121 | — | 6 | 2 | no | — |
| 169 | C2×C4×D4 | — | 3 | 1 | no | — |
| 170 | C2×C4×D4 | — | 3 | 1 | no | — |
| 171 | #463 | — | 6 | 2 | no | — |
| 172 | #463 | — | 6 | 2 | no | — |
| 173 | #461 | — | 6 | 1 | no | — |
| 174 | #461 | — | 6 | 1 | no | — |
| 175 | #459 | — | 6 | 1 | no | — |
| 176 | #459 | — | 6 | 1 | no | — |
| 177 | #453 | — | 6 | 8 | no | — |
| 178 | #423 | — | 3 | 1 | no | — |
| 179 | #423 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 180 | C2×#104 | — | 3 | 2 | no | — |
| 181 | C2×#104 | — | 3 | 2 | no | — |
| 182 | C2×#104 | C2×D3 | 1 | 2 | yes | complemented |
| 183 | C2×#104 | C2×D3 | 1 | 2 | yes | complemented |
| 184 | #417 | — | 3 | 2 | no | — |
| 185 | #417 | — | 3 | 2 | no | — |
| 186 | C2×#100 | — | 3 | 2 | no | — |
| 187 | #390 | — | 3 | 1 | no | — |
| 188 | #390 | — | 3 | 1 | no | — |
| 189 | #386 | — | 6 | 2 | no | — |
| 190 | #386 | — | 6 | 2 | no | — |
| 191 | #382 | — | 3 | 1 | no | — |
| 192 | #376 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 193 | #343 | — | 3 | 2 | no | — |
| 194 | C23×D3 | — | 2 | 1 | no | — |
| 195 | C23×D3 | — | 2 | 4 | no | — |
| 196 | C23×D3 | C2×D4 | 1 | 2 | yes | — |
| 197 | C3×#41 | — | 2 | 2 | no | — |
| 198 | C3×#41 | — | 2 | 2 | no | — |
| 199 | C3×#41 | — | 2 | 2 | no | — |
| 200 | C3×#41 | — | 2 | 2 | no | — |
| 201 | C2×C3×Q8 | C2×D4 | 1 | 2 | yes | — |
| 202 | C2×C3×D4 | — | 2 | 2 | no | — |
| 203 | C2×C3×D4 | — | 2 | 1 | no | — |
| 204 | C2×C3×D4 | — | 2 | 1 | no | — |
| 205 | C2×C3×D4 | C2×D4 | 1 | 2 | yes | — |
| 206 | C22×C3×C4 | — | 2 | 1 | no | — |
| 207 | C22×C3×C4 | — | 2 | 2 | no | — |
| 208 | C22×C3×C4 | — | 2 | 1 | no | — |
| 209 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 212 | C2×#67 | — | 2 | 4 | no | — |
| 213 | C2×#67 | — | 2 | 2 | no | — |
| 214 | C2×#67 | — | 2 | 4 | no | — |
| 215 | C22×Dic3 | — | 2 | 1 | no | — |
| 216 | C22×Dic3 | C2×D4 | 1 | 2 | yes | — |
| 217 | #239 | — | 4 | 4 | no | — |
| 218 | #239 | — | 4 | 4 | no | — |
| 219 | D3×D4 | — | 4 | 4 | no | — |
| 220 | D3×D4 | — | 4 | 4 | no | — |
| 221 | D3×D4 | — | 4 | 8 | no | — |
| 222 | D3×D4 | — | 4 | 8 | no | — |
| 223 | D3×D4 | — | 8 | 4 | no | — |
| 224 | #235 | — | 2 | 2 | no | — |
| 225 | #235 | — | 2 | 2 | no | — |
| 226 | #235 | — | 2 | 2 | no | — |
| 227 | #235 | — | 2 | 2 | no | — |
| 228 | #235 | — | 4 | 4 | no | — |
| 229 | #235 | — | 4 | 4 | no | — |
| 230 | C2×D12 | — | 2 | 1 | no | — |
| 231 | C2×D12 | — | 2 | 1 | no | — |
| 232 | C2×D12 | — | 2 | 1 | no | — |
| 233 | C2×D12 | — | 2 | 1 | no | — |
| 234 | C2×D12 | — | 2 | 1 | no | — |
| 235 | C2×D12 | — | 2 | 1 | no | — |
| 236 | C2×D12 | — | 2 | 1 | no | — |
| 237 | C2×D12 | — | 2 | 1 | no | — |
| 238 | C2×D12 | — | 2 | 4 | no | — |
| 239 | C2×D12 | — | 2 | 1 | no | — |
| 240 | C2×D12 | — | 2 | 1 | no | — |
| 241 | C2×D12 | — | 2 | 8 | no | — |
| 242 | C2×D12 | — | 2 | 1 | no | — |
| 243 | C2×D12 | — | 4 | 4 | no | — |
| 244 | C2×D12 | — | 4 | 4 | no | — |
| 245 | C2×D12 | — | 8 | 2 | no | — |
| 246 | C2×D12 | — | 8 | 2 | no | — |
| 247 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 248 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 249 | C2×D12 | C2×D4 | 1 | 2 | yes | complemented |
| 250 | C2×D12 | #41 | 1 | 2 | yes | — |
| 251 | C2×C4×D3 | — | 2 | 4 | no | — |
| 252 | C2×C4×D3 | — | 2 | 2 | no | — |
| 253 | C2×C4×D3 | — | 2 | 2 | no | — |
| 254 | C2×C4×D3 | — | 2 | 2 | no | — |
| 255 | C2×C4×D3 | — | 4 | 1 | no | — |
| 256 | C2×C4×D3 | — | 4 | 1 | no | — |
| 257 | C2×C4×D3 | — | 8 | 2 | no | — |
| 258 | C2×C4×D3 | — | 8 | 2 | no | — |
| 259 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 260 | C3×M16 | — | 2 | 2 | no | — |
| 261 | C3×M16 | — | 2 | 2 | no | — |
| 262 | C2×C3×C8 | — | 2 | 2 | no | — |
| 263 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 264 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 265 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 266 | C3×C22⋊C4 | — | 2 | 2 | no | — |
| 267 | C3×C42 | — | 2 | 1 | no | — |
| 268 | C3×C42 | — | 2 | 1 | no | — |
| 269 | C3×C42 | — | 2 | 1 | no | — |
| 270 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 271 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C3×C42 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C3×C42 | C2×D4 | 1 | 2 | yes | complemented |
| 275 | #217 | — | 2 | 4 | no | — |
| 276 | #215 | — | 4 | 4 | no | — |
| 277 | #213 | — | 4 | 4 | no | — |
| 278 | (C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 279 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 280 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 281 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 282 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 283 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 284 | (C2×D3)⋊C4 | — | 4 | 1 | no | — |
| 285 | (C2×D3)⋊C4 | — | 8 | 2 | no | — |
| 286 | (C2×D3)⋊C4 | — | 8 | 2 | no | — |
| 287 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 288 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 289 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 290 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 291 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 292 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 293 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 294 | #208 | — | 2 | 2 | no | — |
| 295 | #208 | — | 2 | 2 | no | — |
| 296 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 297 | D24 | — | 4 | 4 | no | — |
| 298 | #204 | — | 4 | 4 | no | — |
| 299 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 300 | H(5,𝔽2) | — | 6 | 4 | no | — |
| 301 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 302 | H(5,𝔽2) | — | 12 | 2 | no | — |
| 303 | C2×#41 | — | 3 | 2 | no | — |
| 304 | C2×#41 | — | 6 | 2 | no | — |
| 305 | C2×#41 | — | 6 | 2 | no | — |
| 306 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 307 | C22×D4 | — | 3 | 1 | no | — |
| 308 | C22×D4 | — | 3 | 1 | no | — |
| 309 | C22×D4 | — | 6 | 2 | no | — |
| 310 | C22×D4 | — | 6 | 2 | no | — |
| 311 | C22×D4 | — | 6 | 4 | no | — |
| 312 | C22×D4 | — | 6 | 2 | no | — |
| 313 | C22×D4 | — | 6 | 2 | no | — |
| 314 | C23×C4 | — | 3 | 2 | no | — |
| 315 | C23×C4 | — | 6 | 1 | no | — |
| 316 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 317 | AGL(1,ℤ/8) | — | 6 | 4 | no | — |
| 318 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 319 | AGL(1,ℤ/8) | — | 12 | 2 | no | — |
| 320 | C2×SD16 | — | 6 | 2 | no | — |
| 321 | C2×SD16 | — | 6 | 2 | no | — |
| 322 | C2×D8 | — | 6 | 2 | no | — |
| 323 | C2×D8 | — | 6 | 2 | no | — |
| 324 | C2×M16 | — | 3 | 2 | no | — |
| 325 | C2×M16 | C22×D3 | 1 | 2 | yes | — |
| 326 | C4⋊Q8 | — | 3 | 1 | no | — |
| 327 | C4⋊Q8 | D12 | 1 | 1 | yes | characteristic, complemented |
| 328 | #127 | — | 3 | 1 | no | — |
| 329 | #127 | — | 3 | 4 | no | — |
| 330 | #127 | — | 6 | 2 | no | — |
| 331 | #127 | D12 | 1 | 1 | yes | characteristic, complemented |
| 332 | #124 | — | 3 | 2 | no | — |
| 333 | #124 | D12 | 1 | 2 | yes | complemented |
| 334 | #123 | — | 6 | 4 | no | — |
| 335 | #123 | — | 6 | 4 | no | — |
| 336 | C22⋊Q8 | — | 6 | 2 | no | — |
| 337 | C22⋊Q8 | — | 6 | 2 | no | — |
| 338 | #121 | — | 2 | 1 | no | — |
| 339 | #121 | — | 2 | 1 | no | — |
| 340 | #121 | — | 6 | 4 | no | — |
| 341 | #121 | — | 6 | 2 | no | — |
| 342 | #121 | — | 6 | 2 | no | — |
| 343 | #121 | — | 6 | 4 | no | — |
| 344 | #121 | — | 6 | 2 | no | — |
| 345 | #121 | — | 6 | 2 | no | — |
| 346 | #121 | — | 6 | 1 | no | — |
| 347 | #121 | — | 6 | 1 | no | — |
| 348 | #120 | — | 6 | 4 | no | — |
| 349 | #120 | — | 6 | 4 | no | — |
| 350 | C4×D4 | — | 2 | 1 | no | — |
| 351 | C4×D4 | — | 2 | 1 | no | — |
| 352 | C4×D4 | — | 6 | 1 | no | — |
| 353 | C4×D4 | — | 6 | 1 | no | — |
| 354 | C4×D4 | — | 6 | 1 | no | — |
| 355 | C4×D4 | — | 6 | 1 | no | — |
| 356 | C4×D4 | — | 6 | 1 | no | — |
| 357 | C4×D4 | — | 6 | 1 | no | — |
| 358 | C4×D4 | — | 6 | 1 | no | — |
| 359 | C4×D4 | — | 6 | 1 | no | — |
| 360 | C4×D4 | — | 6 | 1 | no | — |
| 361 | C4×D4 | — | 6 | 1 | no | — |
| 362 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 363 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 364 | C2×C4⋊C4 | — | 6 | 2 | no | — |
| 365 | C2×C22⋊C4 | — | 3 | 2 | no | — |
| 366 | C2×C22⋊C4 | — | 6 | 4 | no | — |
| 367 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 368 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 369 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 370 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 371 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 372 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 373 | C4⋊C8 | — | 2 | 1 | no | — |
| 374 | C4⋊C8 | — | 2 | 1 | no | — |
| 375 | C4⋊C8 | — | 6 | 1 | no | — |
| 376 | C4⋊C8 | — | 6 | 1 | no | — |
| 377 | #104 | — | 2 | 4 | no | — |
| 378 | #104 | — | 4 | 2 | no | — |
| 379 | #104 | — | 6 | 4 | no | — |
| 380 | #104 | — | 12 | 2 | no | — |
| 381 | #103 | — | 6 | 2 | no | — |
| 382 | #103 | — | 6 | 2 | no | — |
| 383 | #102 | — | 6 | 2 | no | — |
| 384 | #102 | — | 6 | 2 | no | — |
| 385 | #100 | — | 6 | 4 | no | — |
| 386 | #95 | — | 2 | 1 | no | — |
| 387 | #95 | — | 2 | 1 | no | — |
| 388 | #95 | — | 6 | 2 | no | — |
| 389 | C23×C3 | — | 2 | 2 | no | — |
| 390 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 391 | C22×D3 | — | 2 | 2 | no | — |
| 392 | C22×D3 | — | 2 | 2 | no | — |
| 393 | C22×D3 | — | 2 | 2 | no | — |
| 394 | C22×D3 | — | 2 | 2 | no | — |
| 395 | C22×D3 | — | 4 | 8 | no | — |
| 396 | C22×D3 | — | 4 | 2 | no | — |
| 397 | C22×D3 | — | 4 | 2 | no | — |
| 398 | C22×D3 | — | 4 | 2 | no | — |
| 399 | C22×D3 | — | 4 | 2 | no | — |
| 400 | C22×D3 | — | 4 | 1 | no | — |
| 401 | C22×D3 | — | 4 | 1 | no | — |
| 402 | C22×D3 | — | 8 | 4 | no | — |
| 403 | C22×D3 | — | 8 | 4 | no | — |
| 404 | C22×D3 | #121 | 1 | 4 | yes | — |
| 405 | C3×Q8 | — | 2 | 2 | no | — |
| 406 | C3×Q8 | — | 2 | 2 | no | — |
| 407 | C3×D4 | — | 2 | 2 | no | — |
| 408 | C3×D4 | — | 2 | 2 | no | — |
| 409 | C3×D4 | — | 4 | 2 | no | — |
| 410 | C3×D4 | — | 4 | 2 | no | — |
| 411 | C3×D4 | — | 4 | 2 | no | — |
| 412 | C3×D4 | — | 8 | 1 | no | — |
| 413 | C2×C3×C4 | — | 2 | 2 | no | — |
| 414 | C2×C3×C4 | — | 2 | 2 | no | — |
| 415 | C2×C3×C4 | — | 4 | 1 | no | — |
| 416 | C2×C3×C4 | — | 4 | 1 | no | — |
| 417 | C2×C3×C4 | — | 4 | 1 | no | — |
| 418 | C2×C3×C4 | — | 4 | 1 | no | — |
| 419 | C2×C3×C4 | — | 4 | 2 | no | — |
| 420 | C2×C3×C4 | — | 4 | 2 | no | — |
| 421 | C2×C3×C4 | — | 4 | 1 | no | — |
| 422 | C2×C3×C4 | — | 4 | 1 | no | — |
| 423 | C2×C3×C4 | — | 4 | 1 | no | — |
| 424 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 425 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 426 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 427 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 428 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 429 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 430 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 431 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 432 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 433 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 434 | #67 | — | 4 | 8 | no | — |
| 435 | #67 | — | 4 | 2 | no | — |
| 436 | #67 | — | 4 | 2 | no | — |
| 437 | #67 | — | 8 | 4 | no | — |
| 438 | C2×Dic3 | — | 2 | 2 | no | — |
| 439 | C2×Dic3 | — | 2 | 2 | no | — |
| 440 | C2×Dic3 | — | 4 | 2 | no | — |
| 441 | C2×Dic3 | — | 4 | 2 | no | — |
| 442 | C2×Dic3 | — | 4 | 1 | no | — |
| 443 | D12 | — | 2 | 2 | no | — |
| 444 | D12 | — | 2 | 2 | no | — |
| 445 | D12 | — | 2 | 2 | no | — |
| 446 | D12 | — | 2 | 2 | no | — |
| 447 | D12 | — | 2 | 2 | no | — |
| 448 | D12 | — | 2 | 2 | no | — |
| 449 | D12 | — | 2 | 2 | no | — |
| 450 | D12 | — | 2 | 2 | no | — |
| 451 | D12 | — | 4 | 2 | no | — |
| 452 | D12 | — | 4 | 8 | no | — |
| 453 | D12 | — | 4 | 1 | no | — |
| 454 | D12 | — | 4 | 1 | no | — |
| 455 | D12 | — | 8 | 1 | no | — |
| 456 | D12 | — | 8 | 8 | no | — |
| 457 | C4×D3 | — | 4 | 4 | no | — |
| 458 | C4×D3 | — | 4 | 8 | no | — |
| 459 | C4×D3 | — | 4 | 2 | no | — |
| 460 | C4×D3 | — | 4 | 2 | no | — |
| 461 | C4×D3 | — | 8 | 2 | no | — |
| 462 | C4×D3 | — | 8 | 2 | no | — |
| 463 | C4×D3 | — | 8 | 2 | no | — |
| 464 | Dic6 | — | 2 | 2 | no | — |
| 465 | Dic6 | — | 2 | 2 | no | — |
| 466 | C3×C8 | — | 4 | 2 | no | — |
| 467 | C3⋊C8 | — | 4 | 2 | no | — |
| 468 | C24 | — | 3 | 2 | no | — |
| 469 | C24 | — | 6 | 4 | no | — |
| 470 | C24 | — | 6 | 1 | no | — |
| 471 | #41 | — | 2 | 2 | no | — |
| 472 | #41 | — | 2 | 2 | no | — |
| 473 | #41 | — | 2 | 2 | no | — |
| 474 | #41 | — | 2 | 2 | no | — |
| 475 | #41 | — | 6 | 2 | no | — |
| 476 | #41 | — | 6 | 2 | no | — |
| 477 | #41 | — | 6 | 2 | no | — |
| 478 | #41 | — | 6 | 2 | no | — |
| 479 | #41 | — | 12 | 4 | no | — |
| 480 | #41 | — | 12 | 4 | no | — |
| 481 | #41 | — | 12 | 4 | no | — |
| 482 | #41 | — | 12 | 4 | no | — |
| 483 | C2×Q8 | — | 3 | 2 | no | — |
| 484 | C2×Q8 | C2×D12 | 1 | 2 | yes | — |
| 485 | C2×D4 | — | 2 | 2 | no | — |
| 486 | C2×D4 | — | 2 | 1 | no | — |
| 487 | C2×D4 | — | 2 | 1 | no | — |
| 488 | C2×D4 | — | 3 | 2 | no | — |
| 489 | C2×D4 | — | 3 | 2 | no | — |
| 490 | C2×D4 | — | 3 | 2 | no | — |
| 491 | C2×D4 | — | 3 | 2 | no | — |
| 492 | C2×D4 | — | 6 | 4 | no | — |
| 493 | C2×D4 | — | 6 | 8 | no | — |
| 494 | C2×D4 | — | 6 | 4 | no | — |
| 495 | C2×D4 | — | 6 | 2 | no | — |
| 496 | C2×D4 | — | 6 | 4 | no | — |
| 497 | C2×D4 | — | 6 | 1 | no | — |
| 498 | C2×D4 | — | 6 | 1 | no | — |
| 499 | C2×D4 | — | 6 | 1 | no | — |
| 500 | C2×D4 | — | 6 | 1 | no | — |
| 501 | C2×D4 | — | 6 | 1 | no | — |
| 502 | C2×D4 | — | 6 | 1 | no | — |
| 503 | C2×D4 | — | 6 | 1 | no | — |
| 504 | C2×D4 | — | 6 | 1 | no | — |
| 505 | C2×D4 | — | 6 | 1 | no | — |
| 506 | C2×D4 | — | 6 | 1 | no | — |
| 507 | C2×D4 | — | 6 | 1 | no | — |
| 508 | C2×D4 | — | 12 | 4 | no | — |
| 509 | C2×D4 | — | 12 | 4 | no | — |
| 510 | C2×D4 | — | 12 | 4 | no | — |
| 511 | C2×D4 | — | 12 | 4 | no | — |
| 512 | C2×D4 | — | 12 | 8 | no | — |
| 513 | C2×D4 | — | 12 | 8 | no | — |
| 514 | C2×D4 | — | 24 | 2 | no | — |
| 515 | C2×D4 | — | 24 | 2 | no | — |
| 516 | C2×D4 | — | 24 | 4 | no | — |
| 517 | C2×D4 | C2×D12 | 1 | 2 | yes | — |
| 518 | C22×C4 | — | 2 | 1 | no | — |
| 519 | C22×C4 | — | 2 | 2 | no | — |
| 520 | C22×C4 | — | 2 | 1 | no | — |
| 521 | C22×C4 | — | 3 | 2 | no | — |
| 522 | C22×C4 | — | 6 | 4 | no | — |
| 523 | C22×C4 | — | 6 | 2 | no | — |
| 524 | C22×C4 | — | 6 | 2 | no | — |
| 525 | C22×C4 | — | 6 | 2 | no | — |
| 526 | C22×C4 | — | 6 | 1 | no | — |
| 527 | C22×C4 | — | 12 | 1 | no | — |
| 528 | C22×C4 | — | 12 | 1 | no | — |
| 529 | C22×C4 | — | 24 | 2 | no | — |
| 530 | C22×C4 | — | 24 | 2 | no | — |
| 531 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 532 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 533 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 534 | SD16 | — | 12 | 4 | no | — |
| 535 | SD16 | — | 12 | 4 | no | — |
| 536 | D8 | — | 12 | 4 | no | — |
| 537 | D8 | — | 12 | 4 | no | — |
| 538 | M16 | — | 2 | 2 | no | — |
| 539 | M16 | — | 2 | 2 | no | — |
| 540 | M16 | — | 6 | 2 | no | — |
| 541 | M16 | — | 6 | 2 | no | — |
| 542 | C2×C8 | — | 2 | 2 | no | — |
| 543 | C2×C8 | — | 6 | 2 | no | — |
| 544 | C4⋊C4 | — | 2 | 1 | no | — |
| 545 | C4⋊C4 | — | 2 | 1 | no | — |
| 546 | C4⋊C4 | — | 6 | 4 | no | — |
| 547 | C4⋊C4 | — | 6 | 1 | no | — |
| 548 | C4⋊C4 | — | 6 | 1 | no | — |
| 549 | C4⋊C4 | — | 6 | 1 | no | — |
| 550 | C4⋊C4 | — | 6 | 1 | no | — |
| 551 | C4⋊C4 | — | 6 | 1 | no | — |
| 552 | C4⋊C4 | — | 6 | 1 | no | — |
| 553 | C22⋊C4 | — | 2 | 2 | no | — |
| 554 | C22⋊C4 | — | 2 | 2 | no | — |
| 555 | C22⋊C4 | — | 6 | 4 | no | — |
| 556 | C22⋊C4 | — | 6 | 4 | no | — |
| 557 | C22⋊C4 | — | 6 | 2 | no | — |
| 558 | C22⋊C4 | — | 6 | 2 | no | — |
| 559 | C22⋊C4 | — | 6 | 2 | no | — |
| 560 | C22⋊C4 | — | 6 | 2 | no | — |
| 561 | C22⋊C4 | — | 12 | 1 | no | — |
| 562 | C22⋊C4 | — | 12 | 1 | no | — |
| 563 | C22⋊C4 | — | 24 | 2 | no | — |
| 564 | C22⋊C4 | — | 24 | 2 | no | — |
| 565 | C42 | — | 2 | 1 | no | — |
| 566 | C42 | — | 2 | 1 | no | — |
| 567 | C42 | — | 2 | 1 | no | — |
| 568 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 569 | C42 | C2×D12 | 1 | 1 | yes | characteristic |
| 570 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 571 | C42 | D3×D4 | 1 | 1 | yes | characteristic |
| 572 | C42 | D3×D4 | 1 | 2 | yes | complemented |
| 573 | C22×C3 | — | 2 | 1 | no | — |
| 574 | C22×C3 | — | 2 | 1 | no | — |
| 575 | C22×C3 | — | 4 | 2 | no | — |
| 576 | C22×C3 | — | 4 | 2 | no | — |
| 577 | C22×C3 | — | 4 | 2 | no | — |
| 578 | C22×C3 | C2×#120 | 1 | 1 | yes | characteristic |
| 579 | C22×C3 | C2×#121 | 1 | 1 | yes | characteristic |
| 580 | C22×C3 | #535 | 1 | 1 | yes | characteristic |
| 581 | C2×D3 | — | 2 | 4 | no | — |
| 582 | C2×D3 | — | 4 | 2 | no | — |
| 583 | C2×D3 | — | 4 | 2 | no | — |
| 584 | C2×D3 | — | 4 | 4 | no | — |
| 585 | C2×D3 | — | 4 | 4 | no | — |
| 586 | C2×D3 | — | 4 | 2 | no | — |
| 587 | C2×D3 | — | 4 | 2 | no | — |
| 588 | C2×D3 | — | 4 | 2 | no | — |
| 589 | C2×D3 | — | 4 | 2 | no | — |
| 590 | C2×D3 | — | 8 | 2 | no | — |
| 591 | C2×D3 | — | 8 | 2 | no | — |
| 592 | C2×D3 | — | 8 | 1 | no | — |
| 593 | C2×D3 | — | 8 | 1 | no | — |
| 594 | C2×D3 | — | 16 | 8 | no | — |
| 595 | C3×C4 | — | 2 | 1 | no | — |
| 596 | C3×C4 | — | 2 | 1 | no | — |
| 597 | C3×C4 | — | 2 | 1 | no | — |
| 598 | C3×C4 | — | 2 | 1 | no | — |
| 599 | C3×C4 | — | 4 | 2 | no | — |
| 600 | C3×C4 | — | 4 | 2 | no | — |
| 601 | C3×C4 | — | 8 | 1 | no | — |
| 602 | C3×C4 | D42 | 1 | 1 | yes | characteristic |
| 603 | C3×C4 | D42 | 1 | 1 | yes | characteristic |
| 604 | C3×C4 | #546 | 1 | 1 | yes | characteristic |
| 605 | C3×C4 | #546 | 1 | 1 | yes | characteristic |
| 606 | Dic3 | — | 4 | 2 | no | — |
| 607 | Dic3 | — | 4 | 2 | no | — |
| 608 | Dic3 | — | 8 | 1 | no | — |
| 609 | C23 | — | 2 | 2 | no | — |
| 610 | C23 | — | 3 | 4 | no | — |
| 611 | C23 | — | 6 | 2 | no | — |
| 612 | C23 | — | 6 | 2 | no | — |
| 613 | C23 | — | 6 | 2 | no | — |
| 614 | C23 | — | 6 | 2 | no | — |
| 615 | C23 | — | 12 | 2 | no | — |
| 616 | C23 | — | 12 | 2 | no | — |
| 617 | C23 | — | 12 | 2 | no | — |
| 618 | C23 | — | 12 | 2 | no | — |
| 619 | C23 | — | 12 | 8 | no | — |
| 620 | C23 | — | 12 | 1 | no | — |
| 621 | C23 | — | 12 | 1 | no | — |
| 622 | C23 | — | 24 | 4 | no | — |
| 623 | C23 | — | 24 | 4 | no | — |
| 624 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 625 | Q8 | — | 2 | 2 | no | — |
| 626 | Q8 | — | 2 | 2 | no | — |
| 627 | Q8 | — | 6 | 2 | no | — |
| 628 | Q8 | — | 6 | 2 | no | — |
| 629 | D4 | — | 2 | 2 | no | — |
| 630 | D4 | — | 2 | 2 | no | — |
| 631 | D4 | — | 4 | 2 | no | — |
| 632 | D4 | — | 4 | 2 | no | — |
| 633 | D4 | — | 4 | 2 | no | — |
| 634 | D4 | — | 6 | 2 | no | — |
| 635 | D4 | — | 6 | 2 | no | — |
| 636 | D4 | — | 6 | 2 | no | — |
| 637 | D4 | — | 6 | 2 | no | — |
| 638 | D4 | — | 6 | 2 | no | — |
| 639 | D4 | — | 6 | 2 | no | — |
| 640 | D4 | — | 6 | 2 | no | — |
| 641 | D4 | — | 6 | 2 | no | — |
| 642 | D4 | — | 8 | 1 | no | — |
| 643 | D4 | — | 12 | 2 | no | — |
| 644 | D4 | — | 12 | 8 | no | — |
| 645 | D4 | — | 12 | 8 | no | — |
| 646 | D4 | — | 12 | 2 | no | — |
| 647 | D4 | — | 12 | 2 | no | — |
| 648 | D4 | — | 12 | 1 | no | — |
| 649 | D4 | — | 12 | 1 | no | — |
| 650 | D4 | — | 24 | 1 | no | — |
| 651 | D4 | — | 24 | 8 | no | — |
| 652 | D4 | — | 24 | 4 | no | — |
| 653 | C2×C4 | — | 2 | 2 | no | — |
| 654 | C2×C4 | — | 2 | 2 | no | — |
| 655 | C2×C4 | — | 4 | 1 | no | — |
| 656 | C2×C4 | — | 4 | 1 | no | — |
| 657 | C2×C4 | — | 4 | 1 | no | — |
| 658 | C2×C4 | — | 4 | 1 | no | — |
| 659 | C2×C4 | — | 4 | 2 | no | — |
| 660 | C2×C4 | — | 4 | 2 | no | — |
| 661 | C2×C4 | — | 4 | 1 | no | — |
| 662 | C2×C4 | — | 4 | 1 | no | — |
| 663 | C2×C4 | — | 4 | 1 | no | — |
| 664 | C2×C4 | — | 6 | 2 | no | — |
| 665 | C2×C4 | — | 6 | 2 | no | — |
| 666 | C2×C4 | — | 12 | 4 | no | — |
| 667 | C2×C4 | — | 12 | 8 | no | — |
| 668 | C2×C4 | — | 12 | 2 | no | — |
| 669 | C2×C4 | — | 12 | 2 | no | — |
| 670 | C2×C4 | — | 12 | 2 | no | — |
| 671 | C2×C4 | — | 12 | 2 | no | — |
| 672 | C2×C4 | — | 12 | 1 | no | — |
| 673 | C2×C4 | — | 24 | 2 | no | — |
| 674 | C2×C4 | — | 24 | 2 | no | — |
| 675 | C2×C4 | — | 24 | 2 | no | — |
| 676 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 677 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 678 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 679 | C2×C4 | #882 | 1 | 1 | yes | characteristic |
| 680 | C2×C4 | C22×D12 | 1 | 1 | yes | characteristic |
| 681 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 682 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 683 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 684 | C2×C4 | D3×#41 | 1 | 1 | yes | characteristic |
| 685 | C2×C4 | #1009 | 1 | 1 | yes | characteristic |
| 686 | C8 | — | 4 | 2 | no | — |
| 687 | C8 | — | 12 | 2 | no | — |
| 688 | C2×C3 | — | 2 | 1 | no | — |
| 689 | C2×C3 | — | 2 | 1 | no | — |
| 690 | C2×C3 | — | 8 | 2 | no | — |
| 691 | C2×C3 | #2408 | 1 | 1 | yes | characteristic |
| 692 | C2×C3 | #3019 | 1 | 1 | yes | characteristic |
| 693 | C2×C3 | #3021 | 1 | 1 | yes | characteristic |
| 694 | D3 | — | 4 | 4 | no | — |
| 695 | D3 | — | 8 | 2 | no | — |
| 696 | D3 | — | 8 | 2 | no | — |
| 697 | C22 | — | 2 | 1 | no | — |
| 698 | C22 | — | 2 | 1 | no | — |
| 699 | C22 | — | 4 | 2 | no | — |
| 700 | C22 | — | 4 | 2 | no | — |
| 701 | C22 | — | 4 | 2 | no | — |
| 702 | C22 | — | 6 | 4 | no | — |
| 703 | C22 | — | 12 | 4 | no | — |
| 704 | C22 | — | 12 | 4 | no | — |
| 705 | C22 | — | 12 | 2 | no | — |
| 706 | C22 | — | 12 | 2 | no | — |
| 707 | C22 | — | 12 | 2 | no | — |
| 708 | C22 | — | 12 | 2 | no | — |
| 709 | C22 | — | 12 | 2 | no | — |
| 710 | C22 | — | 12 | 2 | no | — |
| 711 | C22 | — | 24 | 2 | no | — |
| 712 | C22 | — | 24 | 2 | no | — |
| 713 | C22 | — | 24 | 1 | no | — |
| 714 | C22 | — | 24 | 1 | no | — |
| 715 | C22 | — | 48 | 8 | no | — |
| 716 | C22 | C2×#882 | 1 | 1 | yes | characteristic |
| 717 | C22 | D3×#121 | 1 | 1 | yes | characteristic |
| 718 | C22 | #5607 | 1 | 1 | yes | characteristic |
| 719 | C4 | — | 2 | 1 | no | — |
| 720 | C4 | — | 2 | 1 | no | — |
| 721 | C4 | — | 2 | 1 | no | — |
| 722 | C4 | — | 2 | 1 | no | — |
| 723 | C4 | — | 4 | 2 | no | — |
| 724 | C4 | — | 4 | 2 | no | — |
| 725 | C4 | — | 8 | 1 | no | — |
| 726 | C4 | — | 12 | 2 | no | — |
| 727 | C4 | — | 12 | 2 | no | — |
| 728 | C4 | — | 24 | 1 | no | — |
| 729 | C4 | D4×D12 | 1 | 1 | yes | characteristic |
| 730 | C4 | #5554 | 1 | 1 | yes | characteristic |
| 731 | C4 | #5676 | 1 | 1 | yes | characteristic |
| 732 | C4 | #5717 | 1 | 1 | yes | characteristic |
| 733 | C3 | #24226 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 734 | C2 | — | 2 | 1 | no | — |
| 735 | C2 | — | 2 | 1 | no | — |
| 736 | C2 | — | 8 | 2 | no | — |
| 737 | C2 | — | 12 | 4 | no | — |
| 738 | C2 | — | 24 | 2 | no | — |
| 739 | C2 | — | 24 | 2 | no | — |
| 740 | C2 | #76436 | 1 | 1 | yes | characteristic |
| 741 | C2 | #78993 | 1 | 1 | yes | characteristic |
| 742 | C2 | #78994 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #86241 | C2 | semidirect |
| 2. #83297 | C2 | semidirect |
| 3. #79055 | C2 | semidirect |
| 4. C2×#4822 | C2 | semidirect |
| 5. #73389 | C2 | semidirect |
| 6. C3×#1963 | C2 | semidirect |
| 7. #70527 | C2 | semidirect |
| 8. #70392 | C2 | semidirect |
| 9. #70384 | C2 | semidirect |
| 10. #70362 | C2 | semidirect |
| 11. #69440 | C2 | semidirect |
| 16. C2×#949 | C22 | semidirect |
| 17. C2×#908 | C22 | semidirect |
| 29. C2×C4×D12 | C22 | semidirect |
| 30. C3×#423 | C22 | semidirect |
| 31. C2×C3×#104 | C22 | semidirect |
| 32. C2×C3×#104 | C22 | semidirect |
| 33. C3×#376 | C22 | semidirect |
| 34. #5232 | C22 | semidirect |
| 35. #5133 | C22 | semidirect |
| 41. #4939 | C22 | semidirect |
| 42. #4936 | C22 | semidirect |
| 43. C2×#805 | C22 | semidirect |
| 44. C2×#805 | C22 | semidirect |
| 45. #4924 | C22 | semidirect |
| 52. #4554 | C22 | semidirect |
| 61. #1963 | D3 | semidirect |
| 82. C3×C4⋊Q8 | D4 | semidirect |
| 83. C3×#127 | D4 | semidirect |
| 84. C3×#124 | D4 | semidirect |
| 123. #875 | D4 | semidirect |
| 125. #874 | D4 | semidirect |
| 126. #874 | D4 | semidirect |
| 137. #869 | D4 | semidirect |
| 179. #423 | C2×D3 | semidirect |
| 182. C2×#104 | C2×D3 | semidirect |
| 183. C2×#104 | C2×D3 | semidirect |
| 192. #376 | C2×D3 | semidirect |
| 249. C2×D12 | C2×D4 | semidirect |
| 274. C3×C42 | C2×D4 | semidirect |
| 327. C4⋊Q8 | D12 | semidirect |
| 331. #127 | D12 | semidirect |
| 333. #124 | D12 | semidirect |
| 572. C42 | D3×D4 | semidirect |
| 733. C3 | #24226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #86241 | 2 |
| #83297 | 2 |
| #79055 | 2 |
| C2×#4822 | 2 |
| #73389 | 2 |
| C3×#1963 | 2 |
| #70527 | 2 |
| #70392 | 2 |
| #70384 | 2 |
| #70362 | 2 |
| #69440 | 2 |
| #24226 | 3 |