Finite Group DatabasebetaFinite Group DatabasebetaOrder 768.
1624 conjugacy classes of subgroups.
The subgroup lattice has 1070 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #87282 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | C2×C3×#453 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#5198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #83931 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | Dic3×AGL(1,ℤ/8) | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #83177 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #72140 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #72094 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #71769 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #70384 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #70359 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #70358 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #70355 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #70066 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | #70064 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #24230 | — | 3 | 1 | no | maximal, Sylow |
| 17 | C2×C3×H(5,𝔽2) | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×#1009 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic |
| 20 | C2×C3×AGL(1,ℤ/8) | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×C3×#127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | #5834 | — | 2 | 1 | no | — |
| 23 | #5834 | — | 2 | 1 | no | — |
| 24 | #5832 | — | 2 | 1 | no | — |
| 25 | #5832 | C22 | 1 | 1 | yes | characteristic |
| 26 | #5830 | — | 2 | 1 | no | — |
| 27 | #5830 | C22 | 1 | 1 | yes | characteristic |
| 28 | Dic3×#41 | C22 | 1 | 1 | yes | characteristic |
| 29 | #5805 | — | 2 | 1 | no | — |
| 30 | #5805 | C22 | 1 | 1 | yes | characteristic |
| 31 | C2×#940 | — | 2 | 1 | no | — |
| 32 | C2×#940 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×#940 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | C2×#939 | — | 2 | 2 | no | — |
| 35 | D4×#67 | — | 2 | 2 | no | — |
| 36 | D4×#67 | — | 2 | 2 | no | — |
| 37 | D4×#67 | — | 2 | 1 | no | — |
| 38 | D4×#67 | — | 2 | 1 | no | — |
| 39 | C2×D4×Dic3 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | C2×#932 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C3×#453 | — | 2 | 4 | no | — |
| 42 | C2×C3×#104 | C22 | 1 | 1 | yes | characteristic |
| 43 | C2×C3×#104 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | C2×C3×#100 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | C2×#837 | C22 | 1 | 1 | yes | characteristic |
| 46 | C2×#837 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #5232 | C22 | 1 | 1 | yes | characteristic |
| 48 | #5232 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #5223 | — | 2 | 2 | no | — |
| 50 | #5221 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#833 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #5215 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #5198 | — | 2 | 4 | no | — |
| 54 | #5165 | — | 2 | 1 | no | — |
| 55 | #5164 | — | 2 | 1 | no | — |
| 56 | #5162 | — | 2 | 1 | no | — |
| 57 | Dic3×SD16 | — | 2 | 1 | no | — |
| 58 | #5153 | — | 2 | 1 | no | — |
| 59 | #5152 | — | 2 | 1 | no | — |
| 60 | #5150 | — | 2 | 1 | no | — |
| 61 | Dic3×D8 | — | 2 | 1 | no | — |
| 62 | C2×#825 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #5133 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×#823 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C2×#823 | C22 | 1 | 1 | yes | characteristic, complemented |
| 66 | #5121 | C22 | 1 | 1 | yes | characteristic, complemented |
| 67 | #5118 | C22 | 1 | 1 | yes | characteristic, complemented |
| 68 | Dic3×M16 | C22 | 1 | 1 | yes | characteristic, complemented |
| 69 | #4939 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | C4×Dic3⋊C4 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | C2×#805 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | #4555 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #4523 | C22 | 1 | 1 | yes | characteristic, complemented |
| 74 | #3498 | — | 3 | 1 | no | — |
| 75 | #3036 | — | 3 | 1 | no | — |
| 76 | C2×#453 | — | 3 | 1 | no | — |
| 77 | C2×#453 | D3 | 1 | 1 | yes | characteristic, complemented |
| 78 | C4×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 79 | #2541 | — | 3 | 1 | no | — |
| 80 | #2037 | — | 3 | 1 | no | — |
| 81 | #2037 | — | 3 | 1 | no | — |
| 82 | #2002 | — | 3 | 1 | no | — |
| 83 | #2002 | — | 3 | 1 | no | — |
| 84 | #1980 | — | 3 | 1 | no | — |
| 85 | #1965 | — | 3 | 1 | no | — |
| 86 | #1806 | — | 3 | 1 | no | — |
| 87 | #1792 | — | 3 | 1 | no | — |
| 88 | #1792 | — | 3 | 1 | no | — |
| 89 | C3×H(5,𝔽2) | — | 2 | 2 | no | — |
| 90 | C3×H(5,𝔽2) | — | 2 | 2 | no | — |
| 91 | C3×H(5,𝔽2) | — | 4 | 1 | no | — |
| 92 | C3×H(5,𝔽2) | — | 4 | 1 | no | — |
| 93 | C2×C3×#41 | — | 2 | 1 | no | — |
| 94 | C2×C3×#41 | — | 2 | 1 | no | — |
| 95 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 96 | C2×C3×#41 | C23 | 1 | 1 | yes | characteristic |
| 97 | C22×C3×D4 | — | 2 | 2 | no | — |
| 98 | C22×C3×D4 | — | 2 | 1 | no | — |
| 99 | C22×C3×D4 | — | 2 | 1 | no | — |
| 100 | C22×C3×D4 | — | 2 | 2 | no | — |
| 101 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 102 | C22×C3×D4 | C23 | 1 | 1 | yes | characteristic |
| 103 | C22×#67 | — | 2 | 2 | no | — |
| 104 | C22×#67 | — | 2 | 2 | no | — |
| 105 | C22×#67 | — | 2 | 2 | no | — |
| 106 | C22×#67 | D4 | 1 | 2 | yes | — |
| 107 | C22×#67 | D4 | 1 | 2 | yes | — |
| 108 | C23×Dic3 | — | 2 | 1 | no | — |
| 109 | #1009 | — | 2 | 2 | no | — |
| 110 | #1009 | — | 2 | 2 | no | — |
| 111 | #1009 | — | 4 | 1 | no | — |
| 112 | #1009 | — | 4 | 1 | no | — |
| 113 | C2×#239 | — | 2 | 1 | no | — |
| 114 | C2×D3×D4 | — | 2 | 2 | no | — |
| 115 | C2×D3×D4 | — | 2 | 1 | no | — |
| 116 | C2×#235 | — | 2 | 1 | no | — |
| 117 | C2×#235 | C23 | 1 | 1 | yes | characteristic |
| 118 | C22×D12 | — | 2 | 1 | no | — |
| 119 | C22×D12 | C23 | 1 | 1 | yes | characteristic |
| 120 | C3×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 121 | C3×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 122 | C3×AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 123 | C3×AGL(1,ℤ/8) | D4 | 1 | 4 | yes | complemented |
| 124 | C2×C3×SD16 | — | 2 | 1 | no | — |
| 125 | C2×C3×SD16 | — | 2 | 1 | no | — |
| 126 | C2×C3×D8 | — | 2 | 1 | no | — |
| 127 | C2×C3×D8 | — | 2 | 1 | no | — |
| 128 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 129 | C2×C3×M16 | C23 | 1 | 1 | yes | characteristic |
| 130 | C3×#127 | — | 2 | 2 | no | — |
| 131 | C3×#127 | — | 4 | 1 | no | — |
| 132 | C2×C3×C42 | C23 | 1 | 1 | yes | characteristic |
| 133 | #953 | — | 2 | 2 | no | — |
| 134 | #953 | — | 2 | 2 | no | — |
| 135 | #953 | — | 2 | 2 | no | — |
| 136 | C2×#217 | — | 2 | 2 | no | — |
| 137 | C2×#217 | — | 2 | 1 | no | — |
| 138 | #947 | — | 2 | 1 | no | — |
| 139 | #947 | D4 | 1 | 1 | yes | characteristic, complemented |
| 140 | Q8×Dic3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 141 | Q8×Dic3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 142 | #944 | D4 | 1 | 1 | yes | characteristic, complemented |
| 143 | #940 | — | 2 | 2 | no | — |
| 144 | #940 | — | 2 | 2 | no | — |
| 145 | #940 | — | 2 | 1 | no | — |
| 146 | #940 | — | 2 | 2 | no | — |
| 147 | #940 | — | 2 | 1 | no | — |
| 148 | #940 | — | 2 | 1 | no | — |
| 149 | #940 | — | 2 | 1 | no | — |
| 150 | #940 | — | 2 | 1 | no | — |
| 151 | #940 | — | 2 | 1 | no | — |
| 152 | #940 | — | 4 | 1 | no | — |
| 153 | #940 | D4 | 1 | 1 | yes | characteristic, complemented |
| 154 | #939 | — | 2 | 2 | no | — |
| 155 | #939 | — | 2 | 2 | no | — |
| 156 | #939 | — | 2 | 1 | no | — |
| 157 | #939 | — | 2 | 1 | no | — |
| 158 | #939 | — | 4 | 8 | no | — |
| 159 | #938 | — | 2 | 2 | no | — |
| 160 | #938 | — | 2 | 2 | no | — |
| 161 | #938 | — | 2 | 1 | no | — |
| 162 | #938 | — | 2 | 1 | no | — |
| 163 | #937 | — | 2 | 2 | no | — |
| 164 | #937 | — | 2 | 2 | no | — |
| 165 | #937 | — | 2 | 2 | no | — |
| 166 | #936 | — | 2 | 1 | no | — |
| 167 | #936 | D4 | 1 | 1 | yes | characteristic, complemented |
| 168 | D4×Dic3 | — | 2 | 1 | no | — |
| 169 | D4×Dic3 | — | 2 | 1 | no | — |
| 170 | D4×Dic3 | — | 2 | 1 | no | — |
| 171 | D4×Dic3 | — | 2 | 1 | no | — |
| 172 | D4×Dic3 | — | 2 | 1 | no | — |
| 173 | D4×Dic3 | — | 2 | 1 | no | — |
| 174 | D4×Dic3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 175 | D4×Dic3 | D4 | 1 | 1 | yes | characteristic, complemented |
| 176 | C2×#214 | — | 2 | 1 | no | — |
| 177 | #932 | — | 2 | 2 | no | — |
| 178 | #932 | — | 4 | 1 | no | — |
| 179 | C2×#213 | — | 2 | 1 | no | — |
| 180 | #930 | — | 2 | 2 | no | — |
| 181 | #930 | — | 2 | 2 | no | — |
| 182 | #930 | — | 2 | 1 | no | — |
| 183 | #930 | — | 2 | 1 | no | — |
| 184 | C4×#67 | — | 2 | 2 | no | — |
| 185 | C4×#67 | — | 2 | 2 | no | — |
| 186 | C4×#67 | — | 2 | 1 | no | — |
| 187 | C4×#67 | — | 2 | 1 | no | — |
| 188 | C2×(C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 189 | #926 | — | 2 | 1 | no | — |
| 190 | #926 | C23 | 1 | 1 | yes | characteristic |
| 191 | C2×C4⋊Dic3 | C23 | 1 | 1 | yes | characteristic |
| 192 | C2×Dic3⋊C4 | — | 2 | 1 | no | — |
| 193 | C2×C4×Dic3 | — | 2 | 1 | no | — |
| 194 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 195 | C2×C4×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 196 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 197 | C2×#208 | C23 | 1 | 1 | yes | characteristic |
| 198 | C3×#104 | — | 2 | 2 | no | — |
| 199 | C3×#104 | — | 2 | 2 | no | — |
| 200 | C3×#100 | — | 2 | 2 | no | — |
| 201 | #837 | — | 2 | 2 | no | — |
| 202 | #837 | — | 4 | 1 | no | — |
| 203 | #835 | — | 2 | 1 | no | — |
| 204 | #835 | — | 2 | 1 | no | — |
| 205 | #833 | — | 4 | 1 | no | — |
| 206 | #832 | — | 2 | 1 | no | — |
| 207 | #832 | — | 2 | 1 | no | — |
| 208 | #832 | — | 2 | 1 | no | — |
| 209 | #832 | — | 2 | 1 | no | — |
| 210 | C3⋊#95 | — | 2 | 1 | no | — |
| 211 | #825 | — | 2 | 2 | no | — |
| 212 | #823 | — | 2 | 2 | no | — |
| 213 | #823 | — | 4 | 1 | no | — |
| 214 | #821 | — | 2 | 1 | no | — |
| 215 | #818 | — | 2 | 1 | no | — |
| 216 | #817 | — | 2 | 1 | no | — |
| 217 | #816 | — | 2 | 1 | no | — |
| 218 | #815 | — | 2 | 1 | no | — |
| 219 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 220 | Dic3⋊C8 | — | 2 | 1 | no | — |
| 221 | C8×Dic3 | — | 2 | 1 | no | — |
| 222 | #805 | — | 4 | 1 | no | — |
| 223 | C2×H(5,𝔽2) | — | 3 | 1 | no | — |
| 224 | C2×H(5,𝔽2) | C2×D3 | 1 | 1 | yes | characteristic |
| 225 | C2×AGL(1,ℤ/8) | — | 3 | 1 | no | — |
| 226 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 1 | yes | characteristic |
| 227 | C2×AGL(1,ℤ/8) | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 228 | #550 | — | 6 | 1 | no | — |
| 229 | #550 | — | 6 | 1 | no | — |
| 230 | D42 | — | 6 | 1 | no | — |
| 231 | D42 | — | 6 | 1 | no | — |
| 232 | D42 | — | 6 | 2 | no | — |
| 233 | D42 | — | 6 | 2 | no | — |
| 234 | #535 | — | 3 | 1 | no | — |
| 235 | #535 | — | 3 | 1 | no | — |
| 236 | #535 | — | 6 | 1 | no | — |
| 237 | #535 | — | 6 | 1 | no | — |
| 238 | #532 | — | 3 | 1 | no | — |
| 239 | #532 | — | 6 | 1 | no | — |
| 240 | C2×#127 | — | 3 | 1 | no | — |
| 241 | C2×#127 | — | 3 | 1 | no | — |
| 242 | C2×#127 | — | 6 | 1 | no | — |
| 243 | C2×#127 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 244 | C2×#121 | — | 6 | 2 | no | — |
| 245 | C4×#41 | — | 3 | 1 | no | — |
| 246 | C2×C4×D4 | — | 3 | 1 | no | — |
| 247 | #463 | — | 6 | 1 | no | — |
| 248 | #463 | — | 6 | 1 | no | — |
| 249 | #461 | — | 6 | 1 | no | — |
| 250 | #459 | — | 6 | 1 | no | — |
| 251 | #453 | — | 2 | 4 | no | — |
| 252 | #453 | — | 6 | 4 | no | — |
| 253 | #442 | — | 6 | 1 | no | — |
| 254 | #440 | — | 6 | 1 | no | — |
| 255 | C4×SD16 | — | 6 | 1 | no | — |
| 256 | C4×D8 | — | 6 | 1 | no | — |
| 257 | #428 | — | 3 | 1 | no | — |
| 258 | #423 | — | 3 | 1 | no | — |
| 259 | C2×#104 | — | 3 | 1 | no | — |
| 260 | C2×#104 | — | 3 | 1 | no | — |
| 261 | C2×#104 | — | 3 | 1 | no | — |
| 262 | C2×#104 | — | 3 | 1 | no | — |
| 263 | C2×#104 | C2×D3 | 1 | 1 | yes | characteristic |
| 264 | C2×#104 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 265 | #418 | — | 3 | 1 | no | — |
| 266 | #417 | — | 3 | 1 | no | — |
| 267 | #417 | — | 3 | 1 | no | — |
| 268 | #417 | — | 3 | 1 | no | — |
| 269 | C2×#100 | — | 3 | 1 | no | — |
| 270 | C2×#100 | — | 3 | 1 | no | — |
| 271 | C2×#100 | — | 3 | 1 | no | — |
| 272 | C2×#100 | C2×D3 | 1 | 1 | yes | characteristic, complemented |
| 273 | C4×M16 | — | 3 | 1 | no | — |
| 274 | #392 | — | 6 | 2 | no | — |
| 275 | #390 | — | 3 | 1 | no | — |
| 276 | #390 | — | 3 | 1 | no | — |
| 277 | C4×C4⋊C4 | — | 3 | 1 | no | — |
| 278 | #339 | — | 3 | 1 | no | — |
| 279 | #339 | — | 3 | 1 | no | — |
| 280 | C24×C3 | — | 2 | 2 | no | — |
| 281 | C24×C3 | — | 2 | 1 | no | — |
| 282 | C24×C3 | C2×D4 | 1 | 2 | yes | — |
| 283 | C23×D3 | — | 2 | 2 | no | — |
| 284 | C23×D3 | C2×D4 | 1 | 2 | yes | — |
| 285 | C3×#41 | — | 2 | 1 | no | — |
| 286 | C3×#41 | — | 2 | 1 | no | — |
| 287 | C3×#41 | — | 2 | 1 | no | — |
| 288 | C3×#41 | — | 2 | 1 | no | — |
| 289 | C3×#41 | — | 2 | 1 | no | — |
| 290 | C3×#41 | — | 2 | 1 | no | — |
| 291 | C3×#41 | — | 4 | 2 | no | — |
| 292 | C3×#41 | — | 4 | 2 | no | — |
| 293 | C3×#41 | — | 4 | 2 | no | — |
| 294 | C3×#41 | — | 4 | 2 | no | — |
| 295 | C3×#41 | C2×D4 | 1 | 2 | yes | — |
| 296 | C3×#41 | #41 | 1 | 2 | yes | — |
| 297 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 298 | C2×C3×Q8 | C2×D4 | 1 | 1 | yes | characteristic |
| 299 | C2×C3×D4 | — | 2 | 1 | no | — |
| 300 | C2×C3×D4 | — | 2 | 2 | no | — |
| 301 | C2×C3×D4 | — | 2 | 2 | no | — |
| 302 | C2×C3×D4 | — | 2 | 1 | no | — |
| 303 | C2×C3×D4 | — | 2 | 1 | no | — |
| 304 | C2×C3×D4 | — | 2 | 1 | no | — |
| 305 | C2×C3×D4 | — | 2 | 1 | no | — |
| 306 | C2×C3×D4 | — | 2 | 1 | no | — |
| 307 | C2×C3×D4 | — | 2 | 1 | no | — |
| 308 | C2×C3×D4 | — | 2 | 1 | no | — |
| 309 | C2×C3×D4 | — | 2 | 1 | no | — |
| 310 | C2×C3×D4 | — | 2 | 1 | no | — |
| 311 | C2×C3×D4 | — | 2 | 1 | no | — |
| 312 | C2×C3×D4 | — | 2 | 1 | no | — |
| 313 | C2×C3×D4 | — | 2 | 1 | no | — |
| 314 | C2×C3×D4 | — | 4 | 2 | no | — |
| 315 | C2×C3×D4 | — | 4 | 2 | no | — |
| 316 | C2×C3×D4 | — | 4 | 4 | no | — |
| 317 | C2×C3×D4 | — | 4 | 4 | no | — |
| 318 | C2×C3×D4 | — | 4 | 4 | no | — |
| 319 | C2×C3×D4 | — | 4 | 2 | no | — |
| 320 | C2×C3×D4 | — | 4 | 2 | no | — |
| 321 | C2×C3×D4 | — | 4 | 4 | no | — |
| 322 | C2×C3×D4 | — | 8 | 2 | no | — |
| 323 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 324 | C2×C3×D4 | C2×D4 | 1 | 1 | yes | characteristic |
| 325 | C2×C3×D4 | C2×D4 | 1 | 2 | yes | complemented |
| 326 | C22×C3×C4 | — | 2 | 1 | no | — |
| 327 | C22×C3×C4 | — | 2 | 2 | no | — |
| 328 | C22×C3×C4 | — | 2 | 1 | no | — |
| 329 | C22×C3×C4 | — | 2 | 1 | no | — |
| 330 | C22×C3×C4 | C24 | 1 | 1 | yes | characteristic |
| 331 | C2×#67 | — | 2 | 2 | no | — |
| 332 | C2×#67 | — | 2 | 1 | no | — |
| 333 | C2×#67 | — | 2 | 2 | no | — |
| 334 | C2×#67 | — | 2 | 2 | no | — |
| 335 | C2×#67 | — | 2 | 2 | no | — |
| 336 | C2×#67 | — | 2 | 2 | no | — |
| 337 | C2×#67 | — | 2 | 2 | no | — |
| 338 | C2×#67 | — | 2 | 2 | no | — |
| 339 | C2×#67 | — | 2 | 1 | no | — |
| 340 | C2×#67 | — | 2 | 1 | no | — |
| 341 | C2×#67 | — | 2 | 2 | no | — |
| 342 | C2×#67 | — | 2 | 2 | no | — |
| 343 | C2×#67 | — | 4 | 4 | no | — |
| 344 | C2×#67 | — | 4 | 4 | no | — |
| 345 | C2×#67 | — | 4 | 4 | no | — |
| 346 | C2×#67 | — | 8 | 4 | no | — |
| 347 | C2×#67 | — | 8 | 4 | no | — |
| 348 | C2×#67 | — | 8 | 2 | no | — |
| 349 | C2×#67 | — | 8 | 2 | no | — |
| 350 | C22×Dic3 | — | 2 | 1 | no | — |
| 351 | C22×Dic3 | — | 2 | 1 | no | — |
| 352 | C22×Dic3 | — | 2 | 1 | no | — |
| 353 | C22×Dic3 | — | 2 | 1 | no | — |
| 354 | C22×Dic3 | — | 4 | 4 | no | — |
| 355 | C22×Dic3 | — | 4 | 1 | no | — |
| 356 | C22×Dic3 | — | 4 | 1 | no | — |
| 357 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 358 | C22×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 359 | #239 | — | 4 | 2 | no | — |
| 360 | #239 | — | 4 | 2 | no | — |
| 361 | D3×D4 | — | 4 | 4 | no | — |
| 362 | D3×D4 | — | 4 | 4 | no | — |
| 363 | D3×D4 | — | 4 | 2 | no | — |
| 364 | D3×D4 | — | 4 | 2 | no | — |
| 365 | #235 | — | 2 | 1 | no | — |
| 366 | #235 | — | 2 | 1 | no | — |
| 367 | #235 | — | 2 | 1 | no | — |
| 368 | #235 | — | 2 | 1 | no | — |
| 369 | #235 | — | 4 | 2 | no | — |
| 370 | #235 | — | 4 | 2 | no | — |
| 371 | C2×D12 | — | 2 | 2 | no | — |
| 372 | C2×D12 | — | 2 | 1 | no | — |
| 373 | C2×D12 | — | 2 | 1 | no | — |
| 374 | C2×D12 | — | 2 | 1 | no | — |
| 375 | C2×D12 | — | 2 | 1 | no | — |
| 376 | C2×D12 | — | 2 | 1 | no | — |
| 377 | C2×D12 | — | 2 | 1 | no | — |
| 378 | C2×D12 | — | 4 | 2 | no | — |
| 379 | C2×D12 | — | 4 | 2 | no | — |
| 380 | C2×D12 | C2×D4 | 1 | 1 | yes | characteristic |
| 381 | C2×C4×D3 | — | 2 | 2 | no | — |
| 382 | C2×C4×D3 | — | 2 | 1 | no | — |
| 383 | C2×Dic6 | C2×D4 | 1 | 1 | yes | characteristic |
| 384 | C3×SD16 | — | 2 | 4 | no | — |
| 385 | C3×SD16 | — | 4 | 2 | no | — |
| 386 | C3×D8 | — | 2 | 4 | no | — |
| 387 | C3×D8 | — | 4 | 2 | no | — |
| 388 | C3×M16 | — | 2 | 1 | no | — |
| 389 | C3×M16 | — | 2 | 1 | no | — |
| 390 | C3×M16 | — | 2 | 1 | no | — |
| 391 | C3×M16 | C2×D4 | 1 | 2 | yes | complemented |
| 392 | C2×C3×C8 | — | 2 | 1 | no | — |
| 393 | C2×C3×C8 | — | 2 | 1 | no | — |
| 394 | C3×C42 | — | 2 | 1 | no | — |
| 395 | C3×C42 | — | 2 | 1 | no | — |
| 396 | #217 | — | 2 | 2 | no | — |
| 397 | #217 | — | 2 | 2 | no | — |
| 398 | #217 | — | 2 | 1 | no | — |
| 399 | #217 | — | 2 | 1 | no | — |
| 400 | #217 | — | 2 | 1 | no | — |
| 401 | #217 | — | 2 | 1 | no | — |
| 402 | #217 | — | 2 | 1 | no | — |
| 403 | #217 | — | 4 | 4 | no | — |
| 404 | #217 | — | 4 | 1 | no | — |
| 405 | #217 | — | 4 | 1 | no | — |
| 406 | #214 | — | 4 | 2 | no | — |
| 407 | #213 | — | 4 | 2 | no | — |
| 408 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 409 | (C2×D3)⋊C4 | — | 2 | 2 | no | — |
| 410 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 411 | (C2×D3)⋊C4 | — | 2 | 1 | no | — |
| 412 | (C2×D3)⋊C4 | — | 4 | 4 | no | — |
| 413 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 414 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 415 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 416 | C4⋊Dic3 | — | 2 | 1 | no | — |
| 417 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 418 | C4⋊Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 419 | Dic3⋊C4 | — | 2 | 4 | no | — |
| 420 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 421 | Dic3⋊C4 | — | 2 | 1 | no | — |
| 422 | C4×Dic3 | — | 2 | 1 | no | — |
| 423 | C4×Dic3 | — | 2 | 1 | no | — |
| 424 | C4×Dic3 | — | 2 | 1 | no | — |
| 425 | C4×Dic3 | — | 2 | 1 | no | — |
| 426 | C4×Dic3 | — | 2 | 1 | no | — |
| 427 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 428 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 429 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 430 | C4×Dic3 | C2×D4 | 1 | 1 | yes | characteristic |
| 431 | #208 | — | 2 | 1 | no | — |
| 432 | #208 | — | 2 | 1 | no | — |
| 433 | #208 | — | 2 | 1 | no | — |
| 434 | #208 | — | 2 | 1 | no | — |
| 435 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 436 | C2×C3⋊C8 | — | 2 | 1 | no | — |
| 437 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 438 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 439 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 440 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 441 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 442 | H(5,𝔽2) | — | 6 | 2 | no | — |
| 443 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 444 | H(5,𝔽2) | — | 12 | 1 | no | — |
| 445 | C2×#41 | — | 2 | 1 | no | — |
| 446 | C2×#41 | — | 2 | 1 | no | — |
| 447 | C2×#41 | — | 3 | 1 | no | — |
| 448 | C2×#41 | — | 6 | 1 | no | — |
| 449 | C2×#41 | — | 6 | 1 | no | — |
| 450 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 451 | C2×#41 | C22×D3 | 1 | 1 | yes | characteristic |
| 452 | C22×D4 | — | 2 | 2 | no | — |
| 453 | C22×D4 | — | 2 | 1 | no | — |
| 454 | C22×D4 | — | 2 | 1 | no | — |
| 455 | C22×D4 | — | 2 | 2 | no | — |
| 456 | C22×D4 | — | 3 | 2 | no | — |
| 457 | C22×D4 | — | 3 | 2 | no | — |
| 458 | C22×D4 | — | 3 | 1 | no | — |
| 459 | C22×D4 | — | 6 | 1 | no | — |
| 460 | C22×D4 | — | 6 | 2 | no | — |
| 461 | C22×D4 | — | 6 | 2 | no | — |
| 462 | C22×D4 | — | 6 | 2 | no | — |
| 463 | C22×D4 | — | 6 | 1 | no | — |
| 464 | C22×D4 | — | 6 | 2 | no | — |
| 465 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 466 | C22×D4 | C22×D3 | 1 | 1 | yes | characteristic |
| 467 | C23×C4 | — | 6 | 1 | no | — |
| 468 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 469 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 470 | AGL(1,ℤ/8) | — | 4 | 1 | no | — |
| 471 | AGL(1,ℤ/8) | — | 6 | 2 | no | — |
| 472 | AGL(1,ℤ/8) | — | 12 | 1 | no | — |
| 473 | AGL(1,ℤ/8) | #67 | 1 | 4 | yes | complemented |
| 474 | C2×SD16 | — | 2 | 1 | no | — |
| 475 | C2×SD16 | — | 2 | 1 | no | — |
| 476 | C2×SD16 | — | 6 | 1 | no | — |
| 477 | C2×D8 | — | 2 | 1 | no | — |
| 478 | C2×D8 | — | 2 | 1 | no | — |
| 479 | C2×D8 | — | 6 | 1 | no | — |
| 480 | C2×M16 | — | 3 | 1 | no | — |
| 481 | C2×M16 | — | 3 | 1 | no | — |
| 482 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 483 | C2×M16 | C22×D3 | 1 | 1 | yes | characteristic |
| 484 | C4⋊Q8 | — | 3 | 1 | no | — |
| 485 | #127 | — | 2 | 2 | no | — |
| 486 | #127 | — | 3 | 1 | no | — |
| 487 | #127 | — | 4 | 1 | no | — |
| 488 | #127 | — | 6 | 1 | no | — |
| 489 | #127 | — | 6 | 1 | no | — |
| 490 | #127 | — | 6 | 1 | no | — |
| 491 | #127 | — | 6 | 1 | no | — |
| 492 | #127 | — | 6 | 1 | no | — |
| 493 | #127 | — | 6 | 2 | no | — |
| 494 | #127 | — | 6 | 2 | no | — |
| 495 | #127 | — | 6 | 1 | no | — |
| 496 | #127 | — | 6 | 2 | no | — |
| 497 | #127 | — | 12 | 1 | no | — |
| 498 | #124 | — | 3 | 1 | no | — |
| 499 | #124 | — | 3 | 1 | no | — |
| 500 | #124 | — | 6 | 1 | no | — |
| 501 | #124 | — | 6 | 1 | no | — |
| 502 | #121 | — | 6 | 1 | no | — |
| 503 | #121 | — | 6 | 1 | no | — |
| 504 | #121 | — | 6 | 1 | no | — |
| 505 | #121 | — | 6 | 1 | no | — |
| 506 | #121 | — | 6 | 2 | no | — |
| 507 | #121 | — | 6 | 2 | no | — |
| 508 | #121 | — | 6 | 1 | no | — |
| 509 | #121 | — | 6 | 1 | no | — |
| 510 | #121 | — | 6 | 2 | no | — |
| 511 | #121 | — | 6 | 2 | no | — |
| 512 | #121 | — | 6 | 2 | no | — |
| 513 | #121 | — | 6 | 2 | no | — |
| 514 | #121 | — | 12 | 8 | no | — |
| 515 | #120 | — | 6 | 2 | no | — |
| 516 | #120 | — | 6 | 2 | no | — |
| 517 | #120 | — | 6 | 2 | no | — |
| 518 | #120 | — | 6 | 2 | no | — |
| 519 | #120 | — | 6 | 2 | no | — |
| 520 | #120 | — | 6 | 2 | no | — |
| 521 | C4×Q8 | — | 3 | 1 | no | — |
| 522 | C4×Q8 | — | 3 | 1 | no | — |
| 523 | C4×D4 | — | 3 | 1 | no | — |
| 524 | C4×D4 | — | 3 | 1 | no | — |
| 525 | C4×D4 | — | 6 | 1 | no | — |
| 526 | C4×D4 | — | 6 | 1 | no | — |
| 527 | C4×D4 | — | 6 | 1 | no | — |
| 528 | C4×D4 | — | 6 | 1 | no | — |
| 529 | C4×D4 | — | 6 | 1 | no | — |
| 530 | C4×D4 | — | 6 | 1 | no | — |
| 531 | C4×D4 | — | 6 | 2 | no | — |
| 532 | C4×D4 | — | 6 | 2 | no | — |
| 533 | C4×D4 | — | 6 | 1 | no | — |
| 534 | C4×D4 | — | 6 | 1 | no | — |
| 535 | #117 | — | 3 | 1 | no | — |
| 536 | #117 | — | 6 | 1 | no | — |
| 537 | C2×C4⋊C4 | — | 3 | 1 | no | — |
| 538 | C2×C4⋊C4 | — | 6 | 1 | no | — |
| 539 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 540 | C2×C22⋊C4 | — | 6 | 1 | no | — |
| 541 | C2×C22⋊C4 | — | 6 | 2 | no | — |
| 542 | C2×C42 | — | 3 | 1 | no | — |
| 543 | C2×C42 | — | 3 | 1 | no | — |
| 544 | C2×C42 | — | 6 | 1 | no | — |
| 545 | C2×C42 | C22×D3 | 1 | 1 | yes | characteristic |
| 546 | #107 | — | 6 | 1 | no | — |
| 547 | #106 | — | 6 | 1 | no | — |
| 548 | C4⋊C8 | — | 6 | 1 | no | — |
| 549 | C4⋊C8 | — | 6 | 1 | no | — |
| 550 | #104 | — | 2 | 2 | no | — |
| 551 | #104 | — | 2 | 2 | no | — |
| 552 | #104 | — | 6 | 2 | no | — |
| 553 | #104 | — | 6 | 2 | no | — |
| 554 | #104 | — | 12 | 1 | no | — |
| 555 | #104 | — | 12 | 1 | no | — |
| 556 | #103 | — | 6 | 1 | no | — |
| 557 | #103 | — | 6 | 1 | no | — |
| 558 | #103 | — | 6 | 1 | no | — |
| 559 | #102 | — | 6 | 1 | no | — |
| 560 | #102 | — | 6 | 1 | no | — |
| 561 | #102 | — | 6 | 1 | no | — |
| 562 | #102 | — | 6 | 1 | no | — |
| 563 | #102 | — | 6 | 1 | no | — |
| 564 | #100 | — | 2 | 2 | no | — |
| 565 | #100 | — | 6 | 2 | no | — |
| 566 | #100 | — | 12 | 1 | no | — |
| 567 | #100 | — | 12 | 1 | no | — |
| 568 | #97 | — | 6 | 1 | no | — |
| 569 | C4×C8 | — | 6 | 1 | no | — |
| 570 | #95 | — | 6 | 1 | no | — |
| 571 | C23×C3 | — | 2 | 1 | no | — |
| 572 | C23×C3 | — | 2 | 2 | no | — |
| 573 | C23×C3 | — | 2 | 1 | no | — |
| 574 | C23×C3 | — | 2 | 2 | no | — |
| 575 | C23×C3 | — | 2 | 2 | no | — |
| 576 | C23×C3 | — | 2 | 2 | no | — |
| 577 | C23×C3 | — | 4 | 2 | no | — |
| 578 | C23×C3 | — | 4 | 2 | no | — |
| 579 | C23×C3 | — | 4 | 4 | no | — |
| 580 | C23×C3 | — | 4 | 2 | no | — |
| 581 | C23×C3 | — | 4 | 2 | no | — |
| 582 | C23×C3 | — | 4 | 1 | no | — |
| 583 | C23×C3 | — | 4 | 1 | no | — |
| 584 | C23×C3 | — | 8 | 2 | no | — |
| 585 | C23×C3 | — | 8 | 2 | no | — |
| 586 | C23×C3 | C22×D4 | 1 | 1 | yes | characteristic |
| 587 | C22×D3 | — | 2 | 2 | no | — |
| 588 | C22×D3 | — | 2 | 1 | no | — |
| 589 | C22×D3 | — | 2 | 2 | no | — |
| 590 | C22×D3 | — | 2 | 2 | no | — |
| 591 | C22×D3 | — | 4 | 4 | no | — |
| 592 | C22×D3 | — | 4 | 2 | no | — |
| 593 | C22×D3 | — | 4 | 2 | no | — |
| 594 | C22×D3 | — | 8 | 2 | no | — |
| 595 | C22×D3 | — | 8 | 2 | no | — |
| 596 | C3×Q8 | — | 2 | 1 | no | — |
| 597 | C3×Q8 | — | 2 | 1 | no | — |
| 598 | C3×Q8 | — | 2 | 1 | no | — |
| 599 | C3×Q8 | #121 | 1 | 2 | yes | complemented |
| 600 | C3×D4 | — | 2 | 2 | no | — |
| 601 | C3×D4 | — | 2 | 2 | no | — |
| 602 | C3×D4 | — | 2 | 2 | no | — |
| 603 | C3×D4 | — | 2 | 1 | no | — |
| 604 | C3×D4 | — | 2 | 2 | no | — |
| 605 | C3×D4 | — | 2 | 1 | no | — |
| 606 | C3×D4 | — | 2 | 1 | no | — |
| 607 | C3×D4 | — | 4 | 4 | no | — |
| 608 | C3×D4 | — | 4 | 4 | no | — |
| 609 | C3×D4 | — | 4 | 1 | no | — |
| 610 | C3×D4 | — | 4 | 1 | no | — |
| 611 | C3×D4 | — | 4 | 1 | no | — |
| 612 | C3×D4 | — | 4 | 1 | no | — |
| 613 | C3×D4 | — | 4 | 1 | no | — |
| 614 | C3×D4 | — | 4 | 1 | no | — |
| 615 | C3×D4 | — | 4 | 1 | no | — |
| 616 | C3×D4 | — | 4 | 1 | no | — |
| 617 | C3×D4 | — | 8 | 8 | no | — |
| 618 | C3×D4 | #121 | 1 | 2 | yes | complemented |
| 619 | C2×C3×C4 | — | 2 | 1 | no | — |
| 620 | C2×C3×C4 | — | 2 | 2 | no | — |
| 621 | C2×C3×C4 | — | 2 | 2 | no | — |
| 622 | C2×C3×C4 | — | 2 | 2 | no | — |
| 623 | C2×C3×C4 | — | 2 | 1 | no | — |
| 624 | C2×C3×C4 | — | 4 | 4 | no | — |
| 625 | C2×C3×C4 | — | 4 | 1 | no | — |
| 626 | C2×C3×C4 | — | 4 | 1 | no | — |
| 627 | C2×C3×C4 | — | 4 | 1 | no | — |
| 628 | C2×C3×C4 | — | 4 | 1 | no | — |
| 629 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 630 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 631 | C2×C3×C4 | C22×D4 | 1 | 1 | yes | characteristic |
| 632 | C2×C3×C4 | C2×#41 | 1 | 1 | yes | characteristic |
| 633 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 634 | C2×C3×C4 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 635 | #67 | — | 4 | 4 | no | — |
| 636 | #67 | — | 4 | 2 | no | — |
| 637 | #67 | — | 4 | 4 | no | — |
| 638 | #67 | — | 4 | 1 | no | — |
| 639 | #67 | — | 4 | 1 | no | — |
| 640 | #67 | — | 4 | 4 | no | — |
| 641 | #67 | — | 4 | 2 | no | — |
| 642 | #67 | — | 8 | 2 | no | — |
| 643 | #67 | — | 8 | 2 | no | — |
| 644 | #67 | — | 8 | 2 | no | — |
| 645 | #67 | — | 8 | 2 | no | — |
| 646 | #67 | — | 8 | 2 | no | — |
| 647 | #67 | — | 8 | 2 | no | — |
| 648 | #67 | — | 8 | 8 | no | — |
| 649 | C2×Dic3 | — | 2 | 2 | no | — |
| 650 | C2×Dic3 | — | 2 | 2 | no | — |
| 651 | C2×Dic3 | — | 2 | 1 | no | — |
| 652 | C2×Dic3 | — | 2 | 1 | no | — |
| 653 | C2×Dic3 | — | 2 | 1 | no | — |
| 654 | C2×Dic3 | — | 4 | 1 | no | — |
| 655 | C2×Dic3 | — | 4 | 2 | no | — |
| 656 | C2×Dic3 | — | 4 | 1 | no | — |
| 657 | C2×Dic3 | — | 4 | 1 | no | — |
| 658 | C2×Dic3 | — | 4 | 2 | no | — |
| 659 | C2×Dic3 | — | 4 | 2 | no | — |
| 660 | C2×Dic3 | — | 4 | 1 | no | — |
| 661 | C2×Dic3 | — | 8 | 2 | no | — |
| 662 | C2×Dic3 | — | 8 | 2 | no | — |
| 663 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 664 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 665 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 666 | C2×Dic3 | #120 | 1 | 1 | yes | characteristic |
| 667 | D12 | — | 2 | 1 | no | — |
| 668 | D12 | — | 2 | 1 | no | — |
| 669 | D12 | — | 4 | 4 | no | — |
| 670 | D12 | — | 4 | 1 | no | — |
| 671 | D12 | — | 4 | 1 | no | — |
| 672 | D12 | — | 4 | 1 | no | — |
| 673 | D12 | — | 4 | 1 | no | — |
| 674 | C4×D3 | — | 4 | 4 | no | — |
| 675 | C4×D3 | — | 4 | 1 | no | — |
| 676 | C4×D3 | — | 4 | 1 | no | — |
| 677 | Dic6 | — | 2 | 1 | no | — |
| 678 | Dic6 | — | 2 | 1 | no | — |
| 679 | C3×C8 | — | 2 | 2 | no | — |
| 680 | C3×C8 | — | 4 | 1 | no | — |
| 681 | C3⋊C8 | — | 4 | 1 | no | — |
| 682 | C3⋊C8 | — | 4 | 1 | no | — |
| 683 | C24 | — | 2 | 2 | no | — |
| 684 | C24 | — | 2 | 1 | no | — |
| 685 | C24 | — | 3 | 2 | no | — |
| 686 | C24 | — | 6 | 2 | no | — |
| 687 | C24 | D3×D4 | 1 | 2 | yes | — |
| 688 | #41 | — | 2 | 1 | no | — |
| 689 | #41 | — | 2 | 1 | no | — |
| 690 | #41 | — | 2 | 1 | no | — |
| 691 | #41 | — | 2 | 1 | no | — |
| 692 | #41 | — | 2 | 1 | no | — |
| 693 | #41 | — | 2 | 1 | no | — |
| 694 | #41 | — | 4 | 2 | no | — |
| 695 | #41 | — | 4 | 2 | no | — |
| 696 | #41 | — | 4 | 2 | no | — |
| 697 | #41 | — | 4 | 2 | no | — |
| 698 | #41 | — | 6 | 1 | no | — |
| 699 | #41 | — | 6 | 1 | no | — |
| 700 | #41 | — | 6 | 1 | no | — |
| 701 | #41 | — | 6 | 1 | no | — |
| 702 | #41 | — | 12 | 2 | no | — |
| 703 | #41 | — | 12 | 2 | no | — |
| 704 | #41 | — | 12 | 2 | no | — |
| 705 | #41 | — | 12 | 2 | no | — |
| 706 | #41 | #237 | 1 | 2 | yes | — |
| 707 | #41 | C2×#67 | 1 | 2 | yes | — |
| 708 | C2×Q8 | — | 3 | 1 | no | — |
| 709 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 710 | C2×Q8 | D3×D4 | 1 | 1 | yes | characteristic |
| 711 | C2×D4 | — | 2 | 1 | no | — |
| 712 | C2×D4 | — | 2 | 2 | no | — |
| 713 | C2×D4 | — | 2 | 2 | no | — |
| 714 | C2×D4 | — | 2 | 1 | no | — |
| 715 | C2×D4 | — | 2 | 1 | no | — |
| 716 | C2×D4 | — | 2 | 1 | no | — |
| 717 | C2×D4 | — | 2 | 1 | no | — |
| 718 | C2×D4 | — | 2 | 1 | no | — |
| 719 | C2×D4 | — | 2 | 1 | no | — |
| 720 | C2×D4 | — | 2 | 1 | no | — |
| 721 | C2×D4 | — | 2 | 1 | no | — |
| 722 | C2×D4 | — | 2 | 1 | no | — |
| 723 | C2×D4 | — | 2 | 1 | no | — |
| 724 | C2×D4 | — | 2 | 1 | no | — |
| 725 | C2×D4 | — | 2 | 1 | no | — |
| 726 | C2×D4 | — | 3 | 1 | no | — |
| 727 | C2×D4 | — | 4 | 2 | no | — |
| 728 | C2×D4 | — | 4 | 2 | no | — |
| 729 | C2×D4 | — | 4 | 4 | no | — |
| 730 | C2×D4 | — | 4 | 4 | no | — |
| 731 | C2×D4 | — | 4 | 4 | no | — |
| 732 | C2×D4 | — | 4 | 2 | no | — |
| 733 | C2×D4 | — | 4 | 2 | no | — |
| 734 | C2×D4 | — | 4 | 4 | no | — |
| 735 | C2×D4 | — | 6 | 2 | no | — |
| 736 | C2×D4 | — | 6 | 1 | no | — |
| 737 | C2×D4 | — | 6 | 1 | no | — |
| 738 | C2×D4 | — | 6 | 2 | no | — |
| 739 | C2×D4 | — | 6 | 2 | no | — |
| 740 | C2×D4 | — | 6 | 2 | no | — |
| 741 | C2×D4 | — | 6 | 2 | no | — |
| 742 | C2×D4 | — | 6 | 2 | no | — |
| 743 | C2×D4 | — | 6 | 1 | no | — |
| 744 | C2×D4 | — | 6 | 2 | no | — |
| 745 | C2×D4 | — | 6 | 2 | no | — |
| 746 | C2×D4 | — | 6 | 2 | no | — |
| 747 | C2×D4 | — | 6 | 2 | no | — |
| 748 | C2×D4 | — | 6 | 1 | no | — |
| 749 | C2×D4 | — | 6 | 1 | no | — |
| 750 | C2×D4 | — | 6 | 1 | no | — |
| 751 | C2×D4 | — | 6 | 1 | no | — |
| 752 | C2×D4 | — | 6 | 1 | no | — |
| 753 | C2×D4 | — | 6 | 1 | no | — |
| 754 | C2×D4 | — | 8 | 2 | no | — |
| 755 | C2×D4 | — | 12 | 2 | no | — |
| 756 | C2×D4 | — | 12 | 2 | no | — |
| 757 | C2×D4 | — | 12 | 4 | no | — |
| 758 | C2×D4 | — | 12 | 4 | no | — |
| 759 | C2×D4 | — | 12 | 4 | no | — |
| 760 | C2×D4 | — | 12 | 4 | no | — |
| 761 | C2×D4 | — | 12 | 2 | no | — |
| 762 | C2×D4 | — | 12 | 2 | no | — |
| 763 | C2×D4 | — | 12 | 4 | no | — |
| 764 | C2×D4 | — | 24 | 4 | no | — |
| 765 | C2×D4 | — | 24 | 4 | no | — |
| 766 | C2×D4 | — | 24 | 2 | no | — |
| 767 | C2×D4 | — | 24 | 2 | no | — |
| 768 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 769 | C2×D4 | D3×D4 | 1 | 1 | yes | characteristic |
| 770 | C2×D4 | C2×#67 | 1 | 2 | yes | complemented |
| 771 | C22×C4 | — | 2 | 1 | no | — |
| 772 | C22×C4 | — | 2 | 2 | no | — |
| 773 | C22×C4 | — | 2 | 1 | no | — |
| 774 | C22×C4 | — | 2 | 1 | no | — |
| 775 | C22×C4 | — | 3 | 1 | no | — |
| 776 | C22×C4 | — | 3 | 1 | no | — |
| 777 | C22×C4 | — | 6 | 2 | no | — |
| 778 | C22×C4 | — | 6 | 1 | no | — |
| 779 | C22×C4 | — | 6 | 1 | no | — |
| 780 | C22×C4 | — | 6 | 1 | no | — |
| 781 | C22×C4 | — | 6 | 1 | no | — |
| 782 | C22×C4 | — | 6 | 1 | no | — |
| 783 | C22×C4 | — | 12 | 1 | no | — |
| 784 | C22×C4 | — | 12 | 1 | no | — |
| 785 | C22×C4 | — | 12 | 4 | no | — |
| 786 | C22×C4 | C23×D3 | 1 | 1 | yes | characteristic |
| 787 | SD16 | — | 2 | 4 | no | — |
| 788 | SD16 | — | 4 | 2 | no | — |
| 789 | SD16 | — | 12 | 2 | no | — |
| 790 | D8 | — | 2 | 4 | no | — |
| 791 | D8 | — | 4 | 2 | no | — |
| 792 | D8 | — | 12 | 2 | no | — |
| 793 | M16 | — | 2 | 1 | no | — |
| 794 | M16 | — | 2 | 1 | no | — |
| 795 | M16 | — | 2 | 1 | no | — |
| 796 | M16 | — | 6 | 1 | no | — |
| 797 | M16 | — | 6 | 1 | no | — |
| 798 | M16 | — | 6 | 1 | no | — |
| 799 | M16 | — | 6 | 1 | no | — |
| 800 | M16 | C2×#67 | 1 | 2 | yes | complemented |
| 801 | C2×C8 | — | 2 | 1 | no | — |
| 802 | C2×C8 | — | 2 | 1 | no | — |
| 803 | C2×C8 | — | 6 | 1 | no | — |
| 804 | C2×C8 | — | 6 | 1 | no | — |
| 805 | C4⋊C4 | — | 3 | 1 | no | — |
| 806 | C4⋊C4 | — | 3 | 1 | no | — |
| 807 | C4⋊C4 | — | 6 | 1 | no | — |
| 808 | C4⋊C4 | — | 6 | 1 | no | — |
| 809 | C4⋊C4 | — | 6 | 1 | no | — |
| 810 | C4⋊C4 | — | 6 | 1 | no | — |
| 811 | C4⋊C4 | — | 6 | 4 | no | — |
| 812 | C4⋊C4 | — | 6 | 1 | no | — |
| 813 | C4⋊C4 | — | 6 | 1 | no | — |
| 814 | C22⋊C4 | — | 6 | 1 | no | — |
| 815 | C22⋊C4 | — | 6 | 1 | no | — |
| 816 | C22⋊C4 | — | 6 | 2 | no | — |
| 817 | C22⋊C4 | — | 6 | 2 | no | — |
| 818 | C22⋊C4 | — | 6 | 1 | no | — |
| 819 | C22⋊C4 | — | 6 | 1 | no | — |
| 820 | C22⋊C4 | — | 6 | 1 | no | — |
| 821 | C22⋊C4 | — | 6 | 1 | no | — |
| 822 | C22⋊C4 | — | 6 | 2 | no | — |
| 823 | C22⋊C4 | — | 6 | 2 | no | — |
| 824 | C22⋊C4 | — | 6 | 1 | no | — |
| 825 | C22⋊C4 | — | 12 | 4 | no | — |
| 826 | C22⋊C4 | — | 12 | 1 | no | — |
| 827 | C22⋊C4 | — | 12 | 1 | no | — |
| 828 | C22⋊C4 | — | 12 | 4 | no | — |
| 829 | C42 | — | 2 | 1 | no | — |
| 830 | C42 | — | 2 | 1 | no | — |
| 831 | C42 | — | 3 | 1 | no | — |
| 832 | C42 | — | 3 | 1 | no | — |
| 833 | C42 | — | 3 | 1 | no | — |
| 834 | C42 | — | 3 | 1 | no | — |
| 835 | C42 | — | 6 | 1 | no | — |
| 836 | C42 | — | 6 | 1 | no | — |
| 837 | C42 | — | 6 | 1 | no | — |
| 838 | C42 | — | 6 | 1 | no | — |
| 839 | C42 | — | 6 | 1 | no | — |
| 840 | C22×C3 | — | 2 | 1 | no | — |
| 841 | C22×C3 | — | 2 | 1 | no | — |
| 842 | C22×C3 | — | 2 | 2 | no | — |
| 843 | C22×C3 | — | 4 | 4 | no | — |
| 844 | C22×C3 | — | 4 | 1 | no | — |
| 845 | C22×C3 | — | 4 | 1 | no | — |
| 846 | C22×C3 | — | 4 | 1 | no | — |
| 847 | C22×C3 | — | 4 | 2 | no | — |
| 848 | C22×C3 | — | 4 | 2 | no | — |
| 849 | C22×C3 | — | 4 | 2 | no | — |
| 850 | C22×C3 | — | 4 | 1 | no | — |
| 851 | C22×C3 | — | 4 | 2 | no | — |
| 852 | C22×C3 | — | 4 | 1 | no | — |
| 853 | C22×C3 | — | 8 | 2 | no | — |
| 854 | C22×C3 | — | 8 | 2 | no | — |
| 855 | C22×C3 | — | 8 | 2 | no | — |
| 856 | C22×C3 | — | 8 | 1 | no | — |
| 857 | C22×C3 | — | 8 | 1 | no | — |
| 858 | C22×C3 | — | 16 | 4 | no | — |
| 859 | C22×C3 | C2×#120 | 1 | 1 | yes | characteristic |
| 860 | C22×C3 | D42 | 1 | 1 | yes | characteristic |
| 861 | C22×C3 | #546 | 1 | 1 | yes | characteristic |
| 862 | C2×D3 | — | 4 | 1 | no | — |
| 863 | C2×D3 | — | 4 | 2 | no | — |
| 864 | C2×D3 | — | 4 | 2 | no | — |
| 865 | C2×D3 | — | 4 | 1 | no | — |
| 866 | C2×D3 | — | 4 | 2 | no | — |
| 867 | C2×D3 | — | 4 | 1 | no | — |
| 868 | C2×D3 | — | 8 | 2 | no | — |
| 869 | C2×D3 | — | 8 | 2 | no | — |
| 870 | C2×D3 | — | 16 | 4 | no | — |
| 871 | C3×C4 | — | 2 | 2 | no | — |
| 872 | C3×C4 | — | 4 | 2 | no | — |
| 873 | C3×C4 | — | 4 | 1 | no | — |
| 874 | C3×C4 | C2×#121 | 1 | 1 | yes | characteristic |
| 875 | C3×C4 | #535 | 1 | 1 | yes | characteristic |
| 876 | C3×C4 | D42 | 1 | 1 | yes | characteristic |
| 877 | C3×C4 | #546 | 1 | 1 | yes | characteristic |
| 878 | Dic3 | — | 2 | 1 | no | — |
| 879 | Dic3 | — | 2 | 1 | no | — |
| 880 | Dic3 | — | 2 | 1 | no | — |
| 881 | Dic3 | — | 4 | 2 | no | — |
| 882 | Dic3 | — | 4 | 1 | no | — |
| 883 | Dic3 | — | 4 | 1 | no | — |
| 884 | Dic3 | — | 4 | 1 | no | — |
| 885 | Dic3 | — | 8 | 1 | no | — |
| 886 | Dic3 | #453 | 1 | 2 | yes | complemented |
| 887 | C23 | — | 2 | 1 | no | — |
| 888 | C23 | — | 2 | 2 | no | — |
| 889 | C23 | — | 2 | 2 | no | — |
| 890 | C23 | — | 2 | 1 | no | — |
| 891 | C23 | — | 2 | 2 | no | — |
| 892 | C23 | — | 2 | 2 | no | — |
| 893 | C23 | — | 4 | 2 | no | — |
| 894 | C23 | — | 4 | 2 | no | — |
| 895 | C23 | — | 4 | 4 | no | — |
| 896 | C23 | — | 4 | 2 | no | — |
| 897 | C23 | — | 4 | 2 | no | — |
| 898 | C23 | — | 4 | 1 | no | — |
| 899 | C23 | — | 4 | 1 | no | — |
| 900 | C23 | — | 6 | 1 | no | — |
| 901 | C23 | — | 6 | 2 | no | — |
| 902 | C23 | — | 6 | 2 | no | — |
| 903 | C23 | — | 6 | 2 | no | — |
| 904 | C23 | — | 8 | 2 | no | — |
| 905 | C23 | — | 8 | 2 | no | — |
| 906 | C23 | — | 12 | 4 | no | — |
| 907 | C23 | — | 12 | 2 | no | — |
| 908 | C23 | — | 12 | 2 | no | — |
| 909 | C23 | — | 24 | 2 | no | — |
| 910 | C23 | — | 24 | 2 | no | — |
| 911 | C23 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 912 | Q8 | — | 2 | 1 | no | — |
| 913 | Q8 | — | 2 | 1 | no | — |
| 914 | Q8 | — | 2 | 1 | no | — |
| 915 | Q8 | — | 6 | 1 | no | — |
| 916 | Q8 | — | 6 | 1 | no | — |
| 917 | Q8 | #939 | 1 | 2 | yes | complemented |
| 918 | D4 | — | 2 | 2 | no | — |
| 919 | D4 | — | 2 | 2 | no | — |
| 920 | D4 | — | 2 | 1 | no | — |
| 921 | D4 | — | 2 | 2 | no | — |
| 922 | D4 | — | 2 | 2 | no | — |
| 923 | D4 | — | 2 | 1 | no | — |
| 924 | D4 | — | 2 | 1 | no | — |
| 925 | D4 | — | 4 | 4 | no | — |
| 926 | D4 | — | 4 | 4 | no | — |
| 927 | D4 | — | 4 | 1 | no | — |
| 928 | D4 | — | 4 | 1 | no | — |
| 929 | D4 | — | 4 | 1 | no | — |
| 930 | D4 | — | 4 | 1 | no | — |
| 931 | D4 | — | 4 | 1 | no | — |
| 932 | D4 | — | 4 | 1 | no | — |
| 933 | D4 | — | 4 | 1 | no | — |
| 934 | D4 | — | 4 | 1 | no | — |
| 935 | D4 | — | 6 | 1 | no | — |
| 936 | D4 | — | 6 | 1 | no | — |
| 937 | D4 | — | 8 | 8 | no | — |
| 938 | D4 | — | 12 | 4 | no | — |
| 939 | D4 | — | 12 | 4 | no | — |
| 940 | D4 | — | 12 | 2 | no | — |
| 941 | D4 | — | 12 | 4 | no | — |
| 942 | D4 | — | 12 | 2 | no | — |
| 943 | D4 | — | 12 | 4 | no | — |
| 944 | D4 | — | 12 | 1 | no | — |
| 945 | D4 | — | 12 | 1 | no | — |
| 946 | D4 | — | 12 | 1 | no | — |
| 947 | D4 | — | 12 | 1 | no | — |
| 948 | D4 | — | 12 | 1 | no | — |
| 949 | D4 | — | 12 | 1 | no | — |
| 950 | D4 | — | 24 | 2 | no | — |
| 951 | D4 | — | 24 | 2 | no | — |
| 952 | D4 | — | 24 | 2 | no | — |
| 953 | D4 | — | 24 | 2 | no | — |
| 954 | D4 | — | 24 | 2 | no | — |
| 955 | D4 | — | 24 | 2 | no | — |
| 956 | D4 | — | 24 | 8 | no | — |
| 957 | D4 | #939 | 1 | 2 | yes | complemented |
| 958 | C2×C4 | — | 2 | 1 | no | — |
| 959 | C2×C4 | — | 2 | 2 | no | — |
| 960 | C2×C4 | — | 2 | 2 | no | — |
| 961 | C2×C4 | — | 2 | 2 | no | — |
| 962 | C2×C4 | — | 2 | 1 | no | — |
| 963 | C2×C4 | — | 3 | 1 | no | — |
| 964 | C2×C4 | — | 3 | 1 | no | — |
| 965 | C2×C4 | — | 3 | 1 | no | — |
| 966 | C2×C4 | — | 3 | 1 | no | — |
| 967 | C2×C4 | — | 4 | 4 | no | — |
| 968 | C2×C4 | — | 4 | 1 | no | — |
| 969 | C2×C4 | — | 4 | 1 | no | — |
| 970 | C2×C4 | — | 4 | 1 | no | — |
| 971 | C2×C4 | — | 4 | 1 | no | — |
| 972 | C2×C4 | — | 6 | 2 | no | — |
| 973 | C2×C4 | — | 6 | 2 | no | — |
| 974 | C2×C4 | — | 6 | 1 | no | — |
| 975 | C2×C4 | — | 6 | 1 | no | — |
| 976 | C2×C4 | — | 6 | 1 | no | — |
| 977 | C2×C4 | — | 12 | 4 | no | — |
| 978 | C2×C4 | — | 12 | 2 | no | — |
| 979 | C2×C4 | — | 12 | 1 | no | — |
| 980 | C2×C4 | — | 12 | 2 | no | — |
| 981 | C2×C4 | — | 12 | 1 | no | — |
| 982 | C2×C4 | — | 12 | 1 | no | — |
| 983 | C2×C4 | — | 12 | 1 | no | — |
| 984 | C2×C4 | — | 12 | 1 | no | — |
| 985 | C2×C4 | — | 12 | 2 | no | — |
| 986 | C2×C4 | — | 12 | 1 | no | — |
| 987 | C2×C4 | — | 24 | 2 | no | — |
| 988 | C2×C4 | — | 24 | 2 | no | — |
| 989 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 990 | C2×C4 | C2×D3×D4 | 1 | 1 | yes | characteristic |
| 991 | C2×C4 | C2×#237 | 1 | 1 | yes | characteristic |
| 992 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 993 | C2×C4 | #1004 | 1 | 1 | yes | characteristic |
| 994 | C2×C4 | C22×#67 | 1 | 1 | yes | characteristic |
| 995 | C8 | — | 2 | 2 | no | — |
| 996 | C8 | — | 4 | 1 | no | — |
| 997 | C8 | — | 12 | 1 | no | — |
| 998 | C8 | — | 12 | 1 | no | — |
| 999 | C2×C3 | — | 2 | 1 | no | — |
| 1000 | C2×C3 | — | 2 | 1 | no | — |
| 1001 | C2×C3 | — | 4 | 2 | no | — |
| 1002 | C2×C3 | — | 8 | 2 | no | — |
| 1003 | C2×C3 | — | 8 | 2 | no | — |
| 1004 | C2×C3 | — | 8 | 1 | no | — |
| 1005 | C2×C3 | #2408 | 1 | 1 | yes | characteristic |
| 1006 | C2×C3 | C2×#453 | 1 | 1 | yes | characteristic |
| 1007 | C2×C3 | #3019 | 1 | 1 | yes | characteristic |
| 1008 | D3 | — | 8 | 2 | no | — |
| 1009 | D3 | — | 8 | 1 | no | — |
| 1010 | C22 | — | 2 | 1 | no | — |
| 1011 | C22 | — | 2 | 1 | no | — |
| 1012 | C22 | — | 2 | 2 | no | — |
| 1013 | C22 | — | 4 | 4 | no | — |
| 1014 | C22 | — | 4 | 1 | no | — |
| 1015 | C22 | — | 4 | 1 | no | — |
| 1016 | C22 | — | 4 | 2 | no | — |
| 1017 | C22 | — | 4 | 1 | no | — |
| 1018 | C22 | — | 4 | 2 | no | — |
| 1019 | C22 | — | 4 | 1 | no | — |
| 1020 | C22 | — | 4 | 1 | no | — |
| 1021 | C22 | — | 4 | 2 | no | — |
| 1022 | C22 | — | 4 | 2 | no | — |
| 1023 | C22 | — | 8 | 2 | no | — |
| 1024 | C22 | — | 8 | 2 | no | — |
| 1025 | C22 | — | 8 | 2 | no | — |
| 1026 | C22 | — | 8 | 1 | no | — |
| 1027 | C22 | — | 8 | 1 | no | — |
| 1028 | C22 | — | 12 | 2 | no | — |
| 1029 | C22 | — | 12 | 1 | no | — |
| 1030 | C22 | — | 12 | 2 | no | — |
| 1031 | C22 | — | 12 | 1 | no | — |
| 1032 | C22 | — | 12 | 1 | no | — |
| 1033 | C22 | — | 12 | 2 | no | — |
| 1034 | C22 | — | 16 | 4 | no | — |
| 1035 | C22 | — | 24 | 2 | no | — |
| 1036 | C22 | — | 24 | 2 | no | — |
| 1037 | C22 | — | 48 | 4 | no | — |
| 1038 | C22 | D3×#120 | 1 | 1 | yes | characteristic |
| 1039 | C22 | #5591 | 1 | 1 | yes | characteristic |
| 1040 | C22 | D4×#67 | 1 | 1 | yes | characteristic |
| 1041 | C4 | — | 2 | 2 | no | — |
| 1042 | C4 | — | 3 | 2 | no | — |
| 1043 | C4 | — | 4 | 2 | no | — |
| 1044 | C4 | — | 4 | 1 | no | — |
| 1045 | C4 | — | 6 | 1 | no | — |
| 1046 | C4 | — | 6 | 1 | no | — |
| 1047 | C4 | — | 6 | 1 | no | — |
| 1048 | C4 | — | 12 | 2 | no | — |
| 1049 | C4 | — | 12 | 1 | no | — |
| 1050 | C4 | — | 12 | 1 | no | — |
| 1051 | C4 | — | 12 | 1 | no | — |
| 1052 | C4 | — | 24 | 1 | no | — |
| 1053 | C4 | #5591 | 1 | 1 | yes | characteristic |
| 1054 | C4 | #5592 | 1 | 1 | yes | characteristic |
| 1055 | C4 | D4×#67 | 1 | 1 | yes | characteristic |
| 1056 | C4 | C2×#939 | 1 | 1 | yes | characteristic |
| 1057 | C3 | #24230 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 1058 | C2 | — | 2 | 1 | no | — |
| 1059 | C2 | — | 2 | 1 | no | — |
| 1060 | C2 | — | 4 | 2 | no | — |
| 1061 | C2 | — | 8 | 2 | no | — |
| 1062 | C2 | — | 8 | 2 | no | — |
| 1063 | C2 | — | 8 | 1 | no | — |
| 1064 | C2 | — | 24 | 2 | no | — |
| 1065 | C2 | — | 24 | 1 | no | — |
| 1066 | C2 | D3×#453 | 1 | 1 | yes | characteristic |
| 1067 | C2 | #80278 | 1 | 1 | yes | characteristic |
| 1068 | C2 | #82582 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #87282 | C2 | semidirect |
| 2. C2×C3×#453 | C2 | semidirect |
| 3. C2×#5198 | C2 | semidirect |
| 4. #83931 | C2 | semidirect |
| 5. Dic3×AGL(1,ℤ/8) | C2 | semidirect |
| 6. #83177 | C2 | semidirect |
| 7. #72140 | C2 | semidirect |
| 8. #72094 | C2 | semidirect |
| 9. #71769 | C2 | semidirect |
| 10. #70384 | C2 | semidirect |
| 11. #70359 | C2 | semidirect |
| 12. #70358 | C2 | semidirect |
| 13. #70355 | C2 | semidirect |
| 14. #70066 | C2 | semidirect |
| 15. #70064 | C2 | semidirect |
| 20. C2×C3×AGL(1,ℤ/8) | C22 | semidirect |
| 21. C2×C3×#127 | C22 | semidirect |
| 33. C2×#940 | C22 | semidirect |
| 39. C2×D4×Dic3 | C22 | semidirect |
| 40. C2×#932 | C22 | semidirect |
| 43. C2×C3×#104 | C22 | semidirect |
| 44. C2×C3×#100 | C22 | semidirect |
| 46. C2×#837 | C22 | semidirect |
| 48. #5232 | C22 | semidirect |
| 50. #5221 | C22 | semidirect |
| 51. C2×#833 | C22 | semidirect |
| 52. #5215 | C22 | semidirect |
| 62. C2×#825 | C22 | semidirect |
| 63. #5133 | C22 | semidirect |
| 64. C2×#823 | C22 | semidirect |
| 65. C2×#823 | C22 | semidirect |
| 66. #5121 | C22 | semidirect |
| 67. #5118 | C22 | semidirect |
| 68. Dic3×M16 | C22 | semidirect |
| 69. #4939 | C22 | semidirect |
| 70. C4×Dic3⋊C4 | C22 | semidirect |
| 71. C2×#805 | C22 | semidirect |
| 72. #4555 | C22 | semidirect |
| 73. #4523 | C22 | semidirect |
| 77. C2×#453 | D3 | semidirect |
| 123. C3×AGL(1,ℤ/8) | D4 | semidirect |
| 139. #947 | D4 | semidirect |
| 140. Q8×Dic3 | D4 | semidirect |
| 141. Q8×Dic3 | D4 | semidirect |
| 142. #944 | D4 | semidirect |
| 153. #940 | D4 | semidirect |
| 167. #936 | D4 | semidirect |
| 174. D4×Dic3 | D4 | semidirect |
| 175. D4×Dic3 | D4 | semidirect |
| 227. C2×AGL(1,ℤ/8) | C2×D3 | semidirect |
| 243. C2×#127 | C2×D3 | semidirect |
| 264. C2×#104 | C2×D3 | semidirect |
| 272. C2×#100 | C2×D3 | semidirect |
| 325. C2×C3×D4 | C2×D4 | semidirect |
| 391. C3×M16 | C2×D4 | semidirect |
| 473. AGL(1,ℤ/8) | #67 | semidirect |
| 599. C3×Q8 | #121 | semidirect |
| 618. C3×D4 | #121 | semidirect |
| 770. C2×D4 | C2×#67 | semidirect |
| 800. M16 | C2×#67 | semidirect |
| 886. Dic3 | #453 | semidirect |
| 917. Q8 | #939 | semidirect |
| 957. D4 | #939 | semidirect |
| 1057. C3 | #24230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #87282 | 2 |
| C2×C3×#453 | 2 |
| C2×#5198 | 2 |
| #83931 | 2 |
| Dic3×AGL(1,ℤ/8) | 2 |
| #83177 | 2 |
| #72140 | 2 |
| #72094 | 2 |
| #71769 | 2 |
| #70384 | 2 |
| #70359 | 2 |
| #70358 | 2 |
| #70355 | 2 |
| #70066 | 2 |
| #70064 | 2 |
| #24230 | 3 |