Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
4070 conjugacy classes of subgroups.
The subgroup lattice has 776 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | C22×#1009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C3×#3006 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#5198 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #82653 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #82624 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #72138 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #70305 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #69991 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #69988 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #32888 | — | 3 | 1 | no | maximal, Sylow |
| 11 | C22×C3×#41 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#1009 | — | 2 | 2 | no | — |
| 13 | C2×#1009 | — | 2 | 16 | no | — |
| 14 | C2×#1009 | — | 2 | 2 | no | — |
| 15 | C2×#1009 | — | 2 | 2 | no | — |
| 16 | C2×#1009 | C22 | 1 | 4 | yes | — |
| 17 | C22×#239 | — | 2 | 1 | no | — |
| 18 | C22×D3×D4 | — | 2 | 2 | no | — |
| 19 | C22×D3×D4 | — | 2 | 1 | no | — |
| 20 | C22×#235 | — | 2 | 1 | no | — |
| 21 | C22×#235 | C22 | 1 | 1 | yes | characteristic |
| 22 | C23×D12 | — | 2 | 1 | no | — |
| 23 | C23×D12 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | complemented |
| 25 | C2×C3×#121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#940 | C22 | 1 | 2 | yes | complemented |
| 27 | C2×#937 | — | 2 | 2 | no | — |
| 28 | C2×#932 | C22 | 1 | 2 | yes | complemented |
| 29 | C3×#449 | — | 2 | 2 | no | — |
| 30 | C3×#448 | — | 2 | 1 | no | — |
| 31 | C3×#447 | — | 2 | 1 | no | — |
| 32 | C3×#417 | C22 | 1 | 2 | yes | complemented |
| 33 | C3×#407 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#837 | C22 | 1 | 4 | yes | complemented |
| 35 | C4×#217 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | #5207 | C22 | 1 | 1 | yes | characteristic, complemented |
| 37 | #5198 | — | 2 | 16 | no | — |
| 38 | C2×#825 | C22 | 1 | 4 | yes | complemented |
| 39 | C2×#823 | C22 | 1 | 4 | yes | complemented |
| 40 | #5040 | — | 2 | 1 | no | — |
| 41 | #5037 | — | 2 | 2 | no | — |
| 42 | #5036 | — | 2 | 1 | no | — |
| 43 | #4988 | C22 | 1 | 2 | yes | complemented |
| 44 | #4966 | C22 | 1 | 2 | yes | complemented |
| 45 | #4960 | — | 2 | 2 | no | — |
| 46 | C22×H(5,𝔽2) | — | 3 | 1 | no | — |
| 47 | C2×#453 | — | 3 | 4 | no | — |
| 48 | #3006 | — | 3 | 1 | no | — |
| 49 | #3006 | D3 | 1 | 1 | yes | characteristic, complemented |
| 50 | #2433 | — | 3 | 1 | no | — |
| 51 | #1792 | — | 3 | 4 | no | — |
| 52 | #1789 | — | 3 | 1 | no | — |
| 53 | #1789 | — | 3 | 1 | no | — |
| 54 | #1783 | — | 3 | 1 | no | — |
| 55 | C24×D3 | — | 2 | 2 | no | — |
| 56 | C24×D3 | D4 | 1 | 2 | yes | — |
| 57 | C2×C3×#41 | — | 2 | 8 | no | — |
| 58 | C2×C3×#41 | — | 2 | 1 | no | — |
| 59 | C2×C3×#41 | — | 2 | 1 | no | — |
| 60 | C2×C3×#41 | D4 | 1 | 2 | yes | complemented |
| 61 | C2×C3×#41 | C23 | 1 | 2 | yes | — |
| 62 | C22×C3×Q8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 63 | C22×C3×D4 | — | 2 | 1 | no | — |
| 64 | C22×C3×D4 | — | 2 | 1 | no | — |
| 65 | C22×C3×D4 | D4 | 1 | 1 | yes | characteristic, complemented |
| 66 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 67 | C23×C3×C4 | — | 2 | 1 | no | — |
| 68 | C23×C3×C4 | C23 | 1 | 1 | yes | characteristic |
| 69 | C22×#67 | — | 2 | 2 | no | — |
| 70 | C22×#67 | — | 2 | 1 | no | — |
| 71 | C22×#67 | — | 2 | 4 | no | — |
| 72 | #1009 | — | 2 | 16 | no | — |
| 73 | #1009 | — | 2 | 16 | no | — |
| 74 | #1009 | — | 2 | 16 | no | — |
| 75 | #1009 | — | 2 | 32 | no | — |
| 76 | #1009 | — | 2 | 16 | no | — |
| 77 | #1009 | — | 2 | 8 | no | — |
| 78 | #1009 | — | 2 | 8 | no | — |
| 79 | #1009 | — | 2 | 8 | no | — |
| 80 | #1009 | D4 | 1 | 16 | yes | complemented |
| 81 | C2×#239 | — | 2 | 16 | no | — |
| 82 | C2×#239 | — | 2 | 4 | no | — |
| 83 | C2×#239 | — | 2 | 4 | no | — |
| 84 | C2×D3×D4 | — | 2 | 8 | no | — |
| 85 | C2×D3×D4 | — | 2 | 32 | no | — |
| 86 | C2×D3×D4 | — | 2 | 16 | no | — |
| 87 | C2×D3×D4 | — | 2 | 4 | no | — |
| 88 | C2×D3×D4 | — | 2 | 8 | no | — |
| 89 | C2×D3×D4 | — | 2 | 4 | no | — |
| 90 | C2×#235 | — | 2 | 4 | no | — |
| 91 | C2×#235 | — | 2 | 16 | no | — |
| 92 | C2×#235 | — | 2 | 1 | no | — |
| 93 | C2×#235 | — | 2 | 1 | no | — |
| 94 | C2×#235 | — | 2 | 8 | no | — |
| 95 | C2×#235 | — | 2 | 4 | no | — |
| 96 | C2×#235 | D4 | 1 | 2 | yes | complemented |
| 97 | C2×#235 | C23 | 1 | 2 | yes | — |
| 98 | C22×D12 | — | 2 | 2 | no | — |
| 99 | C22×D12 | — | 2 | 16 | no | — |
| 100 | C22×D12 | — | 2 | 4 | no | — |
| 101 | C22×D12 | — | 2 | 1 | no | — |
| 102 | C22×D12 | — | 2 | 1 | no | — |
| 103 | C22×D12 | — | 2 | 1 | no | — |
| 104 | C22×D12 | — | 2 | 1 | no | — |
| 105 | C22×D12 | — | 2 | 4 | no | — |
| 106 | C22×D12 | — | 2 | 8 | no | — |
| 107 | C22×D12 | D4 | 1 | 2 | yes | — |
| 108 | C22×D12 | D4 | 1 | 1 | yes | characteristic, complemented |
| 109 | C22×D12 | C23 | 1 | 2 | yes | — |
| 110 | C22×C4×D3 | — | 2 | 2 | no | — |
| 111 | C22×C4×D3 | — | 2 | 1 | no | — |
| 112 | C22×Dic6 | D4 | 1 | 1 | yes | characteristic, complemented |
| 113 | C3×AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 114 | C2×C3×SD16 | — | 2 | 2 | no | — |
| 115 | C2×C3×D8 | — | 2 | 2 | no | — |
| 116 | C2×C3×M16 | C23 | 1 | 2 | yes | complemented |
| 117 | C3×#121 | — | 2 | 1 | no | — |
| 118 | C3×#121 | — | 2 | 1 | no | — |
| 119 | C3×#121 | — | 2 | 1 | no | — |
| 120 | C3×#121 | — | 2 | 1 | no | — |
| 121 | C2×C3×C4⋊C4 | C23 | 1 | 1 | yes | characteristic, complemented |
| 122 | C2×C3×C22⋊C4 | — | 2 | 1 | no | — |
| 123 | C2×#217 | — | 2 | 1 | no | — |
| 124 | #940 | — | 2 | 8 | no | — |
| 125 | #937 | — | 4 | 8 | no | — |
| 126 | C2×#214 | — | 2 | 2 | no | — |
| 127 | #932 | — | 2 | 8 | no | — |
| 128 | C2×#213 | — | 2 | 2 | no | — |
| 129 | C2×(C2×D3)⋊C4 | — | 2 | 4 | no | — |
| 130 | C2×C4×Dic3 | C23 | 1 | 2 | yes | complemented |
| 131 | C2×#208 | C23 | 1 | 2 | yes | complemented |
| 132 | C3×#103 | — | 2 | 2 | no | — |
| 133 | C3×#102 | — | 2 | 2 | no | — |
| 134 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 135 | C3×C22⋊C8 | — | 2 | 1 | no | — |
| 136 | #837 | — | 2 | 8 | no | — |
| 137 | C3⋊#95 | — | 2 | 1 | no | — |
| 138 | #830 | — | 2 | 1 | no | — |
| 139 | #830 | — | 2 | 1 | no | — |
| 140 | #825 | — | 2 | 8 | no | — |
| 141 | #823 | — | 2 | 8 | no | — |
| 142 | #810 | — | 2 | 2 | no | — |
| 143 | #809 | — | 2 | 2 | no | — |
| 144 | C2×H(5,𝔽2) | — | 3 | 4 | no | — |
| 145 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 146 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 147 | C2×H(5,𝔽2) | — | 6 | 16 | no | — |
| 148 | C2×H(5,𝔽2) | — | 6 | 2 | no | — |
| 149 | C22×#41 | — | 3 | 1 | no | — |
| 150 | C22×#41 | — | 6 | 1 | no | — |
| 151 | C22×#41 | — | 6 | 1 | no | — |
| 152 | C22×#41 | C2×D3 | 1 | 1 | yes | characteristic |
| 153 | C23×D4 | — | 3 | 1 | no | — |
| 154 | C23×D4 | — | 6 | 1 | no | — |
| 155 | C23×D4 | — | 6 | 2 | no | — |
| 156 | C23×D4 | — | 6 | 1 | no | — |
| 157 | C2×AGL(1,ℤ/8) | — | 3 | 2 | no | — |
| 158 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 2 | yes | complemented |
| 159 | C2×#127 | — | 3 | 2 | no | — |
| 160 | C2×#121 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 161 | C2×#120 | — | 6 | 2 | no | — |
| 162 | #453 | — | 6 | 16 | no | — |
| 163 | #449 | — | 2 | 2 | no | — |
| 164 | #449 | — | 6 | 2 | no | — |
| 165 | #448 | — | 2 | 1 | no | — |
| 166 | #448 | — | 6 | 1 | no | — |
| 167 | #447 | — | 2 | 1 | no | — |
| 168 | #447 | — | 6 | 1 | no | — |
| 169 | C2×#104 | — | 3 | 4 | no | — |
| 170 | C2×#104 | — | 3 | 4 | no | — |
| 171 | #417 | — | 3 | 2 | no | — |
| 172 | #417 | C2×D3 | 1 | 2 | yes | complemented |
| 173 | C2×#100 | — | 3 | 4 | no | — |
| 174 | #407 | — | 3 | 1 | no | — |
| 175 | #407 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 176 | #392 | — | 6 | 2 | no | — |
| 177 | #390 | — | 3 | 2 | no | — |
| 178 | C4×C22⋊C4 | — | 3 | 1 | no | — |
| 179 | C24×C3 | — | 2 | 1 | no | — |
| 180 | C24×C3 | — | 2 | 1 | no | — |
| 181 | C24×C3 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C23×D3 | — | 2 | 2 | no | — |
| 183 | C23×D3 | — | 2 | 1 | no | — |
| 184 | C23×D3 | — | 2 | 16 | no | — |
| 185 | C23×D3 | — | 2 | 8 | no | — |
| 186 | C23×D3 | — | 2 | 2 | no | — |
| 187 | C23×D3 | — | 2 | 8 | no | — |
| 188 | C23×D3 | — | 4 | 4 | no | — |
| 189 | C23×D3 | — | 8 | 2 | no | — |
| 190 | C23×D3 | — | 8 | 4 | no | — |
| 191 | C23×D3 | — | 8 | 4 | no | — |
| 192 | C23×D3 | C2×D4 | 1 | 4 | yes | — |
| 193 | C3×#41 | — | 2 | 8 | no | — |
| 194 | C3×#41 | — | 2 | 8 | no | — |
| 195 | C3×#41 | — | 2 | 4 | no | — |
| 196 | C3×#41 | — | 2 | 4 | no | — |
| 197 | C3×#41 | — | 2 | 4 | no | — |
| 198 | C3×#41 | C2×D4 | 1 | 8 | yes | — |
| 199 | C2×C3×Q8 | — | 2 | 4 | no | — |
| 200 | C2×C3×Q8 | — | 2 | 1 | no | — |
| 201 | C2×C3×Q8 | C2×D4 | 1 | 2 | yes | — |
| 202 | C2×C3×D4 | — | 2 | 8 | no | — |
| 203 | C2×C3×D4 | — | 2 | 2 | no | — |
| 204 | C2×C3×D4 | — | 2 | 2 | no | — |
| 205 | C2×C3×D4 | — | 2 | 4 | no | — |
| 206 | C2×C3×D4 | — | 2 | 1 | no | — |
| 207 | C2×C3×D4 | — | 2 | 1 | no | — |
| 208 | C2×C3×D4 | — | 2 | 4 | no | — |
| 209 | C2×C3×D4 | — | 2 | 1 | no | — |
| 210 | C2×C3×D4 | — | 4 | 4 | no | — |
| 211 | C2×C3×D4 | — | 4 | 1 | no | — |
| 212 | C2×C3×D4 | — | 4 | 1 | no | — |
| 213 | C2×C3×D4 | C2×D4 | 1 | 2 | yes | — |
| 214 | C22×C3×C4 | — | 2 | 8 | no | — |
| 215 | C22×C3×C4 | — | 2 | 1 | no | — |
| 216 | C22×C3×C4 | — | 2 | 2 | no | — |
| 217 | C22×C3×C4 | — | 2 | 2 | no | — |
| 218 | C22×C3×C4 | — | 2 | 4 | no | — |
| 219 | C22×C3×C4 | — | 2 | 1 | no | — |
| 220 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 221 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 222 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C22×C3×C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 226 | C2×#67 | — | 2 | 16 | no | — |
| 227 | C2×#67 | — | 2 | 8 | no | — |
| 228 | C2×#67 | — | 2 | 8 | no | — |
| 229 | C2×#67 | — | 2 | 2 | no | — |
| 230 | C2×#67 | — | 2 | 2 | no | — |
| 231 | C2×#67 | — | 4 | 8 | no | — |
| 232 | C2×#67 | — | 4 | 8 | no | — |
| 233 | C2×#67 | — | 8 | 4 | no | — |
| 234 | C22×Dic3 | — | 2 | 1 | no | — |
| 235 | C22×Dic3 | — | 2 | 2 | no | — |
| 236 | #239 | — | 2 | 32 | no | — |
| 237 | #239 | — | 2 | 16 | no | — |
| 238 | #239 | — | 2 | 16 | no | — |
| 239 | D3×D4 | — | 2 | 64 | no | — |
| 240 | D3×D4 | — | 2 | 32 | no | — |
| 241 | D3×D4 | — | 2 | 32 | no | — |
| 242 | D3×D4 | — | 2 | 16 | no | — |
| 243 | D3×D4 | — | 2 | 32 | no | — |
| 244 | D3×D4 | — | 2 | 16 | no | — |
| 245 | #235 | — | 2 | 32 | no | — |
| 246 | #235 | — | 2 | 8 | no | — |
| 247 | #235 | — | 2 | 8 | no | — |
| 248 | #235 | — | 2 | 16 | no | — |
| 249 | #235 | — | 2 | 4 | no | — |
| 250 | #235 | — | 2 | 4 | no | — |
| 251 | #235 | — | 2 | 16 | no | — |
| 252 | #235 | — | 2 | 4 | no | — |
| 253 | #235 | C2×D4 | 1 | 8 | yes | — |
| 254 | C2×D12 | — | 2 | 8 | no | — |
| 255 | C2×D12 | — | 2 | 16 | no | — |
| 256 | C2×D12 | — | 2 | 8 | no | — |
| 257 | C2×D12 | — | 2 | 8 | no | — |
| 258 | C2×D12 | — | 2 | 32 | no | — |
| 259 | C2×D12 | — | 2 | 8 | no | — |
| 260 | C2×D12 | — | 2 | 16 | no | — |
| 261 | C2×D12 | — | 2 | 8 | no | — |
| 262 | C2×D12 | — | 2 | 8 | no | — |
| 263 | C2×D12 | — | 2 | 2 | no | — |
| 264 | C2×D12 | — | 2 | 1 | no | — |
| 265 | C2×D12 | — | 2 | 2 | no | — |
| 266 | C2×D12 | — | 2 | 2 | no | — |
| 267 | C2×D12 | — | 2 | 2 | no | — |
| 268 | C2×D12 | — | 2 | 4 | no | — |
| 269 | C2×D12 | — | 2 | 4 | no | — |
| 270 | C2×D12 | — | 2 | 16 | no | — |
| 271 | C2×D12 | C2×D4 | 1 | 8 | yes | — |
| 272 | C2×D12 | C2×D4 | 1 | 2 | yes | — |
| 273 | C2×C4×D3 | — | 2 | 16 | no | — |
| 274 | C2×C4×D3 | — | 2 | 8 | no | — |
| 275 | C2×C4×D3 | — | 2 | 8 | no | — |
| 276 | C2×C4×D3 | — | 2 | 2 | no | — |
| 277 | C2×C4×D3 | — | 2 | 2 | no | — |
| 278 | C2×Dic6 | — | 2 | 1 | no | — |
| 279 | C2×Dic6 | — | 2 | 4 | no | — |
| 280 | C2×Dic6 | C2×D4 | 1 | 2 | yes | — |
| 281 | C3×SD16 | — | 4 | 4 | no | — |
| 282 | C3×D8 | — | 4 | 4 | no | — |
| 283 | C3×M16 | — | 2 | 4 | no | — |
| 284 | C2×C3×C8 | — | 2 | 2 | no | — |
| 285 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 286 | C3×C4⋊C4 | — | 2 | 1 | no | — |
| 287 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 288 | C3×C22⋊C4 | — | 4 | 1 | no | — |
| 289 | #217 | — | 2 | 4 | no | — |
| 290 | #214 | — | 4 | 4 | no | — |
| 291 | #213 | — | 4 | 4 | no | — |
| 292 | (C2×D3)⋊C4 | — | 4 | 8 | no | — |
| 293 | C4×Dic3 | — | 2 | 4 | no | — |
| 294 | #208 | — | 2 | 4 | no | — |
| 295 | C2×C3⋊C8 | — | 2 | 2 | no | — |
| 296 | C25 | — | 3 | 2 | no | — |
| 297 | C25 | — | 6 | 2 | no | — |
| 298 | H(5,𝔽2) | — | 3 | 16 | no | — |
| 299 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 300 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 301 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 302 | H(5,𝔽2) | — | 6 | 32 | no | — |
| 303 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 304 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 305 | H(5,𝔽2) | — | 6 | 16 | no | — |
| 306 | H(5,𝔽2) | — | 6 | 8 | no | — |
| 307 | C2×#41 | — | 2 | 8 | no | — |
| 308 | C2×#41 | — | 2 | 1 | no | — |
| 309 | C2×#41 | — | 2 | 1 | no | — |
| 310 | C2×#41 | — | 3 | 2 | no | — |
| 311 | C2×#41 | — | 3 | 2 | no | — |
| 312 | C2×#41 | — | 6 | 4 | no | — |
| 313 | C2×#41 | — | 6 | 8 | no | — |
| 314 | C2×#41 | — | 6 | 16 | no | — |
| 315 | C2×#41 | — | 6 | 4 | no | — |
| 316 | C2×#41 | — | 6 | 16 | no | — |
| 317 | C2×#41 | — | 6 | 4 | no | — |
| 318 | C2×#41 | — | 6 | 4 | no | — |
| 319 | C2×#41 | — | 6 | 1 | no | — |
| 320 | C2×#41 | — | 6 | 1 | no | — |
| 321 | C2×#41 | #67 | 1 | 2 | yes | complemented |
| 322 | C2×#41 | C22×D3 | 1 | 2 | yes | — |
| 323 | C22×Q8 | — | 3 | 1 | no | — |
| 324 | C22×Q8 | #67 | 1 | 1 | yes | characteristic, complemented |
| 325 | C22×D4 | — | 2 | 1 | no | — |
| 326 | C22×D4 | — | 2 | 1 | no | — |
| 327 | C22×D4 | — | 3 | 1 | no | — |
| 328 | C22×D4 | — | 3 | 2 | no | — |
| 329 | C22×D4 | — | 3 | 2 | no | — |
| 330 | C22×D4 | — | 6 | 8 | no | — |
| 331 | C22×D4 | — | 6 | 4 | no | — |
| 332 | C22×D4 | — | 6 | 2 | no | — |
| 333 | C22×D4 | — | 6 | 16 | no | — |
| 334 | C22×D4 | — | 6 | 4 | no | — |
| 335 | C22×D4 | — | 6 | 8 | no | — |
| 336 | C22×D4 | — | 6 | 32 | no | — |
| 337 | C22×D4 | — | 6 | 8 | no | — |
| 338 | C22×D4 | — | 6 | 16 | no | — |
| 339 | C22×D4 | — | 6 | 4 | no | — |
| 340 | C22×D4 | — | 6 | 2 | no | — |
| 341 | C22×D4 | — | 6 | 1 | no | — |
| 342 | C22×D4 | — | 6 | 4 | no | — |
| 343 | C22×D4 | — | 6 | 4 | no | — |
| 344 | C22×D4 | — | 6 | 1 | no | — |
| 345 | C22×D4 | — | 6 | 1 | no | — |
| 346 | C22×D4 | — | 6 | 1 | no | — |
| 347 | C22×D4 | — | 6 | 1 | no | — |
| 348 | C22×D4 | #67 | 1 | 1 | yes | characteristic, complemented |
| 349 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 350 | C23×C4 | — | 2 | 1 | no | — |
| 351 | C23×C4 | — | 6 | 2 | no | — |
| 352 | C23×C4 | — | 6 | 1 | no | — |
| 353 | C23×C4 | C22×D3 | 1 | 1 | yes | characteristic |
| 354 | AGL(1,ℤ/8) | — | 2 | 8 | no | — |
| 355 | AGL(1,ℤ/8) | — | 6 | 8 | no | — |
| 356 | C2×SD16 | — | 2 | 2 | no | — |
| 357 | C2×SD16 | — | 6 | 2 | no | — |
| 358 | C2×D8 | — | 2 | 2 | no | — |
| 359 | C2×D8 | — | 6 | 2 | no | — |
| 360 | C2×M16 | — | 3 | 2 | no | — |
| 361 | C2×M16 | C22×D3 | 1 | 2 | yes | complemented |
| 362 | #127 | — | 6 | 8 | no | — |
| 363 | #121 | — | 2 | 1 | no | — |
| 364 | #121 | — | 2 | 1 | no | — |
| 365 | #121 | — | 2 | 1 | no | — |
| 366 | #121 | — | 2 | 1 | no | — |
| 367 | #120 | — | 12 | 8 | no | — |
| 368 | C2×C4⋊C4 | C22×D3 | 1 | 1 | yes | characteristic, complemented |
| 369 | C2×C22⋊C4 | — | 2 | 1 | no | — |
| 370 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 371 | C2×C22⋊C4 | — | 6 | 4 | no | — |
| 372 | C2×C42 | — | 3 | 2 | no | — |
| 373 | #104 | — | 6 | 8 | no | — |
| 374 | #104 | — | 6 | 8 | no | — |
| 375 | #103 | — | 2 | 2 | no | — |
| 376 | #103 | — | 6 | 2 | no | — |
| 377 | #102 | — | 2 | 2 | no | — |
| 378 | #102 | — | 6 | 2 | no | — |
| 379 | #100 | — | 6 | 8 | no | — |
| 380 | C22⋊C8 | — | 2 | 1 | no | — |
| 381 | C22⋊C8 | — | 2 | 1 | no | — |
| 382 | C22⋊C8 | — | 6 | 1 | no | — |
| 383 | C22⋊C8 | — | 6 | 1 | no | — |
| 384 | #95 | — | 6 | 1 | no | — |
| 385 | C23×C3 | — | 2 | 4 | no | — |
| 386 | C23×C3 | — | 2 | 2 | no | — |
| 387 | C23×C3 | — | 2 | 2 | no | — |
| 388 | C23×C3 | — | 2 | 2 | no | — |
| 389 | C23×C3 | — | 4 | 1 | no | — |
| 390 | C23×C3 | — | 4 | 2 | no | — |
| 391 | C23×C3 | — | 4 | 2 | no | — |
| 392 | C23×C3 | — | 4 | 2 | no | — |
| 393 | C23×C3 | — | 4 | 2 | no | — |
| 394 | C23×C3 | — | 4 | 1 | no | — |
| 395 | C23×C3 | — | 4 | 2 | no | — |
| 396 | C23×C3 | #120 | 1 | 1 | yes | characteristic |
| 397 | C23×C3 | #120 | 1 | 1 | yes | characteristic |
| 398 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 399 | C22×D3 | — | 2 | 8 | no | — |
| 400 | C22×D3 | — | 2 | 4 | no | — |
| 401 | C22×D3 | — | 2 | 4 | no | — |
| 402 | C22×D3 | — | 2 | 2 | no | — |
| 403 | C22×D3 | — | 2 | 8 | no | — |
| 404 | C22×D3 | — | 2 | 32 | no | — |
| 405 | C22×D3 | — | 2 | 4 | no | — |
| 406 | C22×D3 | — | 4 | 4 | no | — |
| 407 | C22×D3 | — | 4 | 2 | no | — |
| 408 | C22×D3 | — | 4 | 4 | no | — |
| 409 | C22×D3 | — | 4 | 2 | no | — |
| 410 | C22×D3 | — | 4 | 4 | no | — |
| 411 | C22×D3 | — | 4 | 4 | no | — |
| 412 | C22×D3 | — | 8 | 16 | no | — |
| 413 | C22×D3 | — | 8 | 2 | no | — |
| 414 | C22×D3 | — | 8 | 2 | no | — |
| 415 | C22×D3 | — | 8 | 32 | no | — |
| 416 | C22×D3 | — | 8 | 8 | no | — |
| 417 | C22×D3 | — | 8 | 8 | no | — |
| 418 | C22×D3 | #120 | 1 | 8 | yes | — |
| 419 | C3×Q8 | — | 2 | 4 | no | — |
| 420 | C3×Q8 | — | 2 | 2 | no | — |
| 421 | C3×Q8 | #120 | 1 | 4 | yes | complemented |
| 422 | C3×D4 | — | 2 | 8 | no | — |
| 423 | C3×D4 | — | 2 | 4 | no | — |
| 424 | C3×D4 | — | 2 | 8 | no | — |
| 425 | C3×D4 | — | 2 | 2 | no | — |
| 426 | C3×D4 | — | 4 | 2 | no | — |
| 427 | C3×D4 | — | 4 | 2 | no | — |
| 428 | C3×D4 | — | 8 | 2 | no | — |
| 429 | C3×D4 | — | 8 | 2 | no | — |
| 430 | C3×D4 | #120 | 1 | 4 | yes | complemented |
| 431 | C2×C3×C4 | — | 2 | 4 | no | — |
| 432 | C2×C3×C4 | — | 2 | 8 | no | — |
| 433 | C2×C3×C4 | — | 2 | 2 | no | — |
| 434 | C2×C3×C4 | — | 2 | 2 | no | — |
| 435 | C2×C3×C4 | — | 2 | 2 | no | — |
| 436 | C2×C3×C4 | — | 2 | 2 | no | — |
| 437 | C2×C3×C4 | — | 2 | 8 | no | — |
| 438 | C2×C3×C4 | — | 2 | 2 | no | — |
| 439 | C2×C3×C4 | — | 2 | 2 | no | — |
| 440 | C2×C3×C4 | — | 4 | 2 | no | — |
| 441 | C2×C3×C4 | — | 4 | 1 | no | — |
| 442 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 443 | C2×C3×C4 | #120 | 1 | 1 | yes | characteristic |
| 444 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 445 | C2×C3×C4 | C22×D4 | 1 | 4 | yes | — |
| 446 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 447 | #67 | — | 2 | 32 | no | — |
| 448 | #67 | — | 2 | 8 | no | — |
| 449 | #67 | — | 2 | 8 | no | — |
| 450 | #67 | — | 8 | 16 | no | — |
| 451 | C2×Dic3 | — | 2 | 4 | no | — |
| 452 | C2×Dic3 | — | 2 | 2 | no | — |
| 453 | C2×Dic3 | — | 2 | 4 | no | — |
| 454 | C2×Dic3 | — | 4 | 2 | no | — |
| 455 | C2×Dic3 | — | 4 | 2 | no | — |
| 456 | D12 | — | 2 | 8 | no | — |
| 457 | D12 | — | 2 | 4 | no | — |
| 458 | D12 | — | 2 | 32 | no | — |
| 459 | D12 | — | 2 | 8 | no | — |
| 460 | D12 | — | 2 | 8 | no | — |
| 461 | D12 | — | 2 | 2 | no | — |
| 462 | D12 | — | 2 | 8 | no | — |
| 463 | D12 | #120 | 1 | 4 | yes | complemented |
| 464 | C4×D3 | — | 2 | 32 | no | — |
| 465 | C4×D3 | — | 2 | 8 | no | — |
| 466 | C4×D3 | — | 2 | 8 | no | — |
| 467 | Dic6 | — | 2 | 4 | no | — |
| 468 | Dic6 | — | 2 | 2 | no | — |
| 469 | Dic6 | #120 | 1 | 4 | yes | complemented |
| 470 | C3×C8 | — | 4 | 2 | no | — |
| 471 | C3⋊C8 | — | 4 | 2 | no | — |
| 472 | C24 | — | 2 | 1 | no | — |
| 473 | C24 | — | 2 | 1 | no | — |
| 474 | C24 | — | 3 | 4 | no | — |
| 475 | C24 | — | 6 | 8 | no | — |
| 476 | C24 | — | 6 | 16 | no | — |
| 477 | C24 | — | 6 | 8 | no | — |
| 478 | C24 | — | 6 | 1 | no | — |
| 479 | C24 | — | 6 | 2 | no | — |
| 480 | C24 | — | 6 | 2 | no | — |
| 481 | C24 | — | 12 | 4 | no | — |
| 482 | C24 | — | 24 | 2 | no | — |
| 483 | C24 | — | 24 | 4 | no | — |
| 484 | C24 | — | 24 | 4 | no | — |
| 485 | C24 | D3×D4 | 1 | 1 | yes | characteristic |
| 486 | #41 | — | 2 | 8 | no | — |
| 487 | #41 | — | 2 | 8 | no | — |
| 488 | #41 | — | 2 | 4 | no | — |
| 489 | #41 | — | 2 | 4 | no | — |
| 490 | #41 | — | 2 | 4 | no | — |
| 491 | #41 | — | 3 | 8 | no | — |
| 492 | #41 | — | 6 | 4 | no | — |
| 493 | #41 | — | 6 | 4 | no | — |
| 494 | #41 | — | 6 | 16 | no | — |
| 495 | #41 | — | 6 | 32 | no | — |
| 496 | #41 | — | 6 | 8 | no | — |
| 497 | #41 | — | 6 | 8 | no | — |
| 498 | #41 | — | 6 | 16 | no | — |
| 499 | #41 | — | 6 | 32 | no | — |
| 500 | #41 | — | 6 | 16 | no | — |
| 501 | #41 | — | 6 | 16 | no | — |
| 502 | #41 | — | 6 | 4 | no | — |
| 503 | #41 | D3×D4 | 1 | 8 | yes | — |
| 504 | C2×Q8 | — | 2 | 4 | no | — |
| 505 | C2×Q8 | — | 2 | 1 | no | — |
| 506 | C2×Q8 | — | 3 | 2 | no | — |
| 507 | C2×Q8 | — | 6 | 4 | no | — |
| 508 | C2×Q8 | — | 6 | 1 | no | — |
| 509 | C2×Q8 | C2×#67 | 1 | 2 | yes | — |
| 510 | C2×D4 | — | 2 | 8 | no | — |
| 511 | C2×D4 | — | 2 | 2 | no | — |
| 512 | C2×D4 | — | 2 | 2 | no | — |
| 513 | C2×D4 | — | 2 | 4 | no | — |
| 514 | C2×D4 | — | 2 | 1 | no | — |
| 515 | C2×D4 | — | 2 | 1 | no | — |
| 516 | C2×D4 | — | 2 | 4 | no | — |
| 517 | C2×D4 | — | 2 | 1 | no | — |
| 518 | C2×D4 | — | 3 | 2 | no | — |
| 519 | C2×D4 | — | 3 | 8 | no | — |
| 520 | C2×D4 | — | 4 | 4 | no | — |
| 521 | C2×D4 | — | 4 | 1 | no | — |
| 522 | C2×D4 | — | 4 | 1 | no | — |
| 523 | C2×D4 | — | 6 | 4 | no | — |
| 524 | C2×D4 | — | 6 | 16 | no | — |
| 525 | C2×D4 | — | 6 | 8 | no | — |
| 526 | C2×D4 | — | 6 | 16 | no | — |
| 527 | C2×D4 | — | 6 | 8 | no | — |
| 528 | C2×D4 | — | 6 | 8 | no | — |
| 529 | C2×D4 | — | 6 | 8 | no | — |
| 530 | C2×D4 | — | 6 | 32 | no | — |
| 531 | C2×D4 | — | 6 | 8 | no | — |
| 532 | C2×D4 | — | 6 | 16 | no | — |
| 533 | C2×D4 | — | 6 | 8 | no | — |
| 534 | C2×D4 | — | 6 | 32 | no | — |
| 535 | C2×D4 | — | 6 | 64 | no | — |
| 536 | C2×D4 | — | 6 | 32 | no | — |
| 537 | C2×D4 | — | 6 | 32 | no | — |
| 538 | C2×D4 | — | 6 | 16 | no | — |
| 539 | C2×D4 | — | 6 | 16 | no | — |
| 540 | C2×D4 | — | 6 | 8 | no | — |
| 541 | C2×D4 | — | 6 | 8 | no | — |
| 542 | C2×D4 | — | 6 | 2 | no | — |
| 543 | C2×D4 | — | 6 | 2 | no | — |
| 544 | C2×D4 | — | 6 | 16 | no | — |
| 545 | C2×D4 | — | 6 | 1 | no | — |
| 546 | C2×D4 | — | 6 | 2 | no | — |
| 547 | C2×D4 | — | 6 | 2 | no | — |
| 548 | C2×D4 | — | 6 | 2 | no | — |
| 549 | C2×D4 | — | 6 | 4 | no | — |
| 550 | C2×D4 | — | 6 | 2 | no | — |
| 551 | C2×D4 | — | 12 | 8 | no | — |
| 552 | C2×D4 | — | 12 | 8 | no | — |
| 553 | C2×D4 | — | 24 | 4 | no | — |
| 554 | C2×D4 | C2×#67 | 1 | 2 | yes | — |
| 555 | C22×C4 | — | 2 | 8 | no | — |
| 556 | C22×C4 | — | 2 | 1 | no | — |
| 557 | C22×C4 | — | 2 | 2 | no | — |
| 558 | C22×C4 | — | 2 | 2 | no | — |
| 559 | C22×C4 | — | 2 | 4 | no | — |
| 560 | C22×C4 | — | 2 | 1 | no | — |
| 561 | C22×C4 | — | 6 | 16 | no | — |
| 562 | C22×C4 | — | 6 | 8 | no | — |
| 563 | C22×C4 | — | 6 | 8 | no | — |
| 564 | C22×C4 | — | 6 | 1 | no | — |
| 565 | C22×C4 | — | 6 | 2 | no | — |
| 566 | C22×C4 | — | 6 | 2 | no | — |
| 567 | C22×C4 | — | 6 | 2 | no | — |
| 568 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 569 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 570 | C22×C4 | D3×D4 | 1 | 1 | yes | characteristic |
| 571 | C22×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 572 | C22×C4 | C2×#67 | 1 | 1 | yes | characteristic |
| 573 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 574 | SD16 | — | 4 | 4 | no | — |
| 575 | SD16 | — | 12 | 4 | no | — |
| 576 | D8 | — | 4 | 4 | no | — |
| 577 | D8 | — | 12 | 4 | no | — |
| 578 | M16 | — | 2 | 4 | no | — |
| 579 | M16 | — | 6 | 4 | no | — |
| 580 | C2×C8 | — | 2 | 2 | no | — |
| 581 | C2×C8 | — | 6 | 2 | no | — |
| 582 | C4⋊C4 | — | 2 | 1 | no | — |
| 583 | C4⋊C4 | — | 2 | 1 | no | — |
| 584 | C22⋊C4 | — | 4 | 1 | no | — |
| 585 | C22⋊C4 | — | 4 | 1 | no | — |
| 586 | C22⋊C4 | — | 6 | 4 | no | — |
| 587 | C22⋊C4 | — | 12 | 8 | no | — |
| 588 | C42 | — | 6 | 4 | no | — |
| 589 | C22×C3 | — | 2 | 1 | no | — |
| 590 | C22×C3 | — | 2 | 1 | no | — |
| 591 | C22×C3 | — | 2 | 1 | no | — |
| 592 | C22×C3 | — | 2 | 1 | no | — |
| 593 | C22×C3 | — | 2 | 1 | no | — |
| 594 | C22×C3 | — | 2 | 4 | no | — |
| 595 | C22×C3 | — | 2 | 1 | no | — |
| 596 | C22×C3 | — | 2 | 1 | no | — |
| 597 | C22×C3 | — | 4 | 4 | no | — |
| 598 | C22×C3 | — | 4 | 8 | no | — |
| 599 | C22×C3 | — | 4 | 2 | no | — |
| 600 | C22×C3 | — | 4 | 2 | no | — |
| 601 | C22×C3 | — | 8 | 4 | no | — |
| 602 | C22×C3 | — | 8 | 1 | no | — |
| 603 | C22×C3 | — | 8 | 1 | no | — |
| 604 | C22×C3 | — | 8 | 1 | no | — |
| 605 | C22×C3 | #453 | 1 | 2 | yes | complemented |
| 606 | C22×C3 | C2×#120 | 1 | 1 | yes | characteristic |
| 607 | C22×C3 | C2×#120 | 1 | 2 | yes | — |
| 608 | C2×D3 | — | 2 | 8 | no | — |
| 609 | C2×D3 | — | 2 | 4 | no | — |
| 610 | C2×D3 | — | 4 | 16 | no | — |
| 611 | C2×D3 | — | 4 | 8 | no | — |
| 612 | C2×D3 | — | 4 | 4 | no | — |
| 613 | C2×D3 | — | 4 | 2 | no | — |
| 614 | C2×D3 | — | 4 | 4 | no | — |
| 615 | C2×D3 | — | 4 | 2 | no | — |
| 616 | C2×D3 | — | 4 | 8 | no | — |
| 617 | C2×D3 | — | 8 | 4 | no | — |
| 618 | C2×D3 | — | 8 | 8 | no | — |
| 619 | C2×D3 | — | 8 | 32 | no | — |
| 620 | C3×C4 | — | 2 | 1 | no | — |
| 621 | C3×C4 | — | 2 | 4 | no | — |
| 622 | C3×C4 | — | 2 | 1 | no | — |
| 623 | C3×C4 | — | 8 | 1 | no | — |
| 624 | C3×C4 | C2×#120 | 1 | 2 | yes | — |
| 625 | C3×C4 | C2×#120 | 1 | 2 | yes | — |
| 626 | Dic3 | — | 2 | 4 | no | — |
| 627 | Dic3 | — | 4 | 4 | no | — |
| 628 | C23 | — | 2 | 4 | no | — |
| 629 | C23 | — | 2 | 2 | no | — |
| 630 | C23 | — | 2 | 2 | no | — |
| 631 | C23 | — | 2 | 2 | no | — |
| 632 | C23 | — | 3 | 8 | no | — |
| 633 | C23 | — | 4 | 1 | no | — |
| 634 | C23 | — | 4 | 2 | no | — |
| 635 | C23 | — | 4 | 2 | no | — |
| 636 | C23 | — | 4 | 2 | no | — |
| 637 | C23 | — | 4 | 2 | no | — |
| 638 | C23 | — | 4 | 1 | no | — |
| 639 | C23 | — | 4 | 2 | no | — |
| 640 | C23 | — | 6 | 4 | no | — |
| 641 | C23 | — | 6 | 8 | no | — |
| 642 | C23 | — | 6 | 8 | no | — |
| 643 | C23 | — | 6 | 32 | no | — |
| 644 | C23 | — | 6 | 2 | no | — |
| 645 | C23 | — | 6 | 4 | no | — |
| 646 | C23 | — | 6 | 4 | no | — |
| 647 | C23 | — | 12 | 4 | no | — |
| 648 | C23 | — | 12 | 2 | no | — |
| 649 | C23 | — | 12 | 4 | no | — |
| 650 | C23 | — | 12 | 4 | no | — |
| 651 | C23 | — | 12 | 4 | no | — |
| 652 | C23 | — | 12 | 2 | no | — |
| 653 | C23 | — | 24 | 2 | no | — |
| 654 | C23 | — | 24 | 2 | no | — |
| 655 | C23 | — | 24 | 16 | no | — |
| 656 | C23 | — | 24 | 32 | no | — |
| 657 | C23 | — | 24 | 8 | no | — |
| 658 | C23 | — | 24 | 8 | no | — |
| 659 | C23 | #937 | 1 | 1 | yes | characteristic |
| 660 | C23 | #937 | 1 | 1 | yes | characteristic |
| 661 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 662 | Q8 | — | 2 | 4 | no | — |
| 663 | Q8 | — | 2 | 2 | no | — |
| 664 | Q8 | — | 3 | 4 | no | — |
| 665 | Q8 | — | 6 | 4 | no | — |
| 666 | Q8 | — | 6 | 2 | no | — |
| 667 | Q8 | #937 | 1 | 4 | yes | complemented |
| 668 | D4 | — | 2 | 8 | no | — |
| 669 | D4 | — | 2 | 4 | no | — |
| 670 | D4 | — | 2 | 8 | no | — |
| 671 | D4 | — | 2 | 2 | no | — |
| 672 | D4 | — | 3 | 4 | no | — |
| 673 | D4 | — | 4 | 2 | no | — |
| 674 | D4 | — | 4 | 2 | no | — |
| 675 | D4 | — | 6 | 4 | no | — |
| 676 | D4 | — | 6 | 8 | no | — |
| 677 | D4 | — | 6 | 32 | no | — |
| 678 | D4 | — | 6 | 8 | no | — |
| 679 | D4 | — | 6 | 8 | no | — |
| 680 | D4 | — | 6 | 32 | no | — |
| 681 | D4 | — | 6 | 8 | no | — |
| 682 | D4 | — | 6 | 8 | no | — |
| 683 | D4 | — | 6 | 2 | no | — |
| 684 | D4 | — | 6 | 8 | no | — |
| 685 | D4 | — | 8 | 2 | no | — |
| 686 | D4 | — | 8 | 2 | no | — |
| 687 | D4 | — | 24 | 16 | no | — |
| 688 | D4 | #937 | 1 | 4 | yes | complemented |
| 689 | C2×C4 | — | 2 | 4 | no | — |
| 690 | C2×C4 | — | 2 | 8 | no | — |
| 691 | C2×C4 | — | 2 | 2 | no | — |
| 692 | C2×C4 | — | 2 | 2 | no | — |
| 693 | C2×C4 | — | 2 | 2 | no | — |
| 694 | C2×C4 | — | 2 | 2 | no | — |
| 695 | C2×C4 | — | 2 | 2 | no | — |
| 696 | C2×C4 | — | 2 | 8 | no | — |
| 697 | C2×C4 | — | 2 | 2 | no | — |
| 698 | C2×C4 | — | 4 | 2 | no | — |
| 699 | C2×C4 | — | 4 | 1 | no | — |
| 700 | C2×C4 | — | 6 | 32 | no | — |
| 701 | C2×C4 | — | 6 | 8 | no | — |
| 702 | C2×C4 | — | 6 | 4 | no | — |
| 703 | C2×C4 | — | 6 | 2 | no | — |
| 704 | C2×C4 | — | 6 | 8 | no | — |
| 705 | C2×C4 | — | 6 | 4 | no | — |
| 706 | C2×C4 | — | 12 | 2 | no | — |
| 707 | C2×C4 | — | 12 | 2 | no | — |
| 708 | C2×C4 | #937 | 1 | 1 | yes | characteristic |
| 709 | C2×C4 | #937 | 1 | 1 | yes | characteristic |
| 710 | C2×C4 | C2×D3×D4 | 1 | 4 | yes | — |
| 711 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 712 | C2×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 713 | C8 | — | 4 | 2 | no | — |
| 714 | C8 | — | 12 | 2 | no | — |
| 715 | C2×C3 | — | 2 | 2 | no | — |
| 716 | C2×C3 | — | 2 | 2 | no | — |
| 717 | C2×C3 | — | 4 | 1 | no | — |
| 718 | C2×C3 | — | 4 | 4 | no | — |
| 719 | C2×C3 | — | 16 | 1 | no | — |
| 720 | C2×C3 | #2846 | 1 | 1 | yes | characteristic |
| 721 | C2×C3 | C2×#453 | 1 | 1 | yes | characteristic |
| 722 | C2×C3 | #3019 | 1 | 1 | yes | characteristic |
| 723 | D3 | — | 4 | 8 | no | — |
| 724 | D3 | — | 4 | 4 | no | — |
| 725 | C22 | — | 2 | 1 | no | — |
| 726 | C22 | — | 2 | 1 | no | — |
| 727 | C22 | — | 2 | 1 | no | — |
| 728 | C22 | — | 2 | 1 | no | — |
| 729 | C22 | — | 2 | 1 | no | — |
| 730 | C22 | — | 2 | 1 | no | — |
| 731 | C22 | — | 2 | 4 | no | — |
| 732 | C22 | — | 2 | 1 | no | — |
| 733 | C22 | — | 4 | 4 | no | — |
| 734 | C22 | — | 4 | 8 | no | — |
| 735 | C22 | — | 4 | 2 | no | — |
| 736 | C22 | — | 4 | 2 | no | — |
| 737 | C22 | — | 6 | 4 | no | — |
| 738 | C22 | — | 6 | 8 | no | — |
| 739 | C22 | — | 8 | 4 | no | — |
| 740 | C22 | — | 8 | 1 | no | — |
| 741 | C22 | — | 8 | 1 | no | — |
| 742 | C22 | — | 8 | 1 | no | — |
| 743 | C22 | — | 12 | 8 | no | — |
| 744 | C22 | — | 12 | 16 | no | — |
| 745 | C22 | — | 12 | 8 | no | — |
| 746 | C22 | — | 12 | 4 | no | — |
| 747 | C22 | — | 12 | 2 | no | — |
| 748 | C22 | — | 12 | 4 | no | — |
| 749 | C22 | — | 12 | 2 | no | — |
| 750 | C22 | — | 24 | 4 | no | — |
| 751 | C22 | — | 24 | 8 | no | — |
| 752 | C22 | — | 24 | 32 | no | — |
| 753 | C22 | #5198 | 1 | 2 | yes | complemented |
| 754 | C22 | D3×#120 | 1 | 2 | yes | — |
| 755 | C22 | C2×#937 | 1 | 1 | yes | characteristic |
| 756 | C4 | — | 2 | 1 | no | — |
| 757 | C4 | — | 2 | 4 | no | — |
| 758 | C4 | — | 2 | 1 | no | — |
| 759 | C4 | — | 6 | 4 | no | — |
| 760 | C4 | — | 8 | 1 | no | — |
| 761 | C4 | — | 12 | 4 | no | — |
| 762 | C4 | D3×#120 | 1 | 2 | yes | — |
| 763 | C4 | C2×#937 | 1 | 2 | yes | — |
| 764 | C3 | #32888 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 765 | C2 | — | 2 | 2 | no | — |
| 766 | C2 | — | 2 | 2 | no | — |
| 767 | C2 | — | 4 | 1 | no | — |
| 768 | C2 | — | 4 | 4 | no | — |
| 769 | C2 | — | 12 | 8 | no | — |
| 770 | C2 | — | 12 | 4 | no | — |
| 771 | C2 | — | 16 | 1 | no | — |
| 772 | C2 | #82612 | 1 | 1 | yes | characteristic |
| 773 | C2 | C2×#5198 | 1 | 1 | yes | characteristic |
| 774 | C2 | #84005 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#1009 | C2 | semidirect |
| 2. C3×#3006 | C2 | semidirect |
| 3. C2×#5198 | C2 | semidirect |
| 4. #82653 | C2 | semidirect |
| 5. #82624 | C2 | semidirect |
| 6. #72138 | C2 | semidirect |
| 7. #70305 | C2 | semidirect |
| 8. #69991 | C2 | semidirect |
| 9. #69988 | C2 | semidirect |
| 24. C2×C3×AGL(1,ℤ/8) | C22 | semidirect |
| 25. C2×C3×#121 | C22 | semidirect |
| 26. C2×#940 | C22 | semidirect |
| 28. C2×#932 | C22 | semidirect |
| 32. C3×#417 | C22 | semidirect |
| 33. C3×#407 | C22 | semidirect |
| 34. C2×#837 | C22 | semidirect |
| 35. C4×#217 | C22 | semidirect |
| 36. #5207 | C22 | semidirect |
| 38. C2×#825 | C22 | semidirect |
| 39. C2×#823 | C22 | semidirect |
| 43. #4988 | C22 | semidirect |
| 44. #4966 | C22 | semidirect |
| 49. #3006 | D3 | semidirect |
| 60. C2×C3×#41 | D4 | semidirect |
| 62. C22×C3×Q8 | D4 | semidirect |
| 65. C22×C3×D4 | D4 | semidirect |
| 66. C22×C3×D4 | C23 | semidirect |
| 80. #1009 | D4 | semidirect |
| 96. C2×#235 | D4 | semidirect |
| 108. C22×D12 | D4 | semidirect |
| 112. C22×Dic6 | D4 | semidirect |
| 116. C2×C3×M16 | C23 | semidirect |
| 121. C2×C3×C4⋊C4 | C23 | semidirect |
| 130. C2×C4×Dic3 | C23 | semidirect |
| 131. C2×#208 | C23 | semidirect |
| 158. C2×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 160. C2×#121 | C2×D3 | semidirect |
| 172. #417 | C2×D3 | semidirect |
| 175. #407 | C2×D3 | semidirect |
| 321. C2×#41 | #67 | semidirect |
| 324. C22×Q8 | #67 | semidirect |
| 348. C22×D4 | #67 | semidirect |
| 349. C22×D4 | C22×D3 | semidirect |
| 361. C2×M16 | C22×D3 | semidirect |
| 368. C2×C4⋊C4 | C22×D3 | semidirect |
| 421. C3×Q8 | #120 | semidirect |
| 430. C3×D4 | #120 | semidirect |
| 463. D12 | #120 | semidirect |
| 469. Dic6 | #120 | semidirect |
| 605. C22×C3 | #453 | semidirect |
| 667. Q8 | #937 | semidirect |
| 688. D4 | #937 | semidirect |
| 753. C22 | #5198 | semidirect |
| 764. C3 | #32888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#1009 | 2 |
| C3×#3006 | 2 |
| C2×#5198 | 2 |
| #82653 | 2 |
| #82624 | 2 |
| #72138 | 2 |
| #70305 | 2 |
| #69991 | 2 |
| #69988 | 2 |
| #32888 | 3 |