Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
2600 conjugacy classes of subgroups.
The subgroup lattice has 1318 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #22603128 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22603124 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22603123 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22603123 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22600143 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #22600132 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #22600114 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #22600112 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #22598795 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22598080 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22598078 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22598076 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22597693 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22597686 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C2×#17986184 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#17986180 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 17 | #22597249 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 18 | #22597247 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 19 | C71×#3069 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 20 | #17986835 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | #17986835 | C22 | 1 | 1 | yes | characteristic, complemented |
| 22 | C2×#14556176 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#14556175 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17986816 | — | 2 | 2 | no | — |
| 25 | #17986816 | C22 | 1 | 4 | yes | complemented |
| 26 | #17986815 | — | 2 | 2 | no | — |
| 27 | #17986815 | C22 | 1 | 4 | yes | complemented |
| 28 | #17986815 | C22 | 1 | 4 | yes | complemented |
| 29 | #17986813 | — | 2 | 2 | no | — |
| 30 | #17986812 | — | 2 | 2 | no | — |
| 31 | #17986812 | C22 | 1 | 4 | yes | complemented |
| 32 | #17986811 | — | 2 | 2 | no | — |
| 33 | #17986811 | C22 | 1 | 4 | yes | complemented |
| 34 | #17986809 | C22 | 1 | 4 | yes | complemented |
| 35 | #17986808 | — | 2 | 2 | no | — |
| 36 | #17986808 | C22 | 1 | 4 | yes | complemented |
| 37 | #17986806 | — | 2 | 2 | no | — |
| 38 | #17986805 | — | 2 | 2 | no | — |
| 39 | #17986805 | C22 | 1 | 4 | yes | complemented |
| 40 | #17986799 | — | 2 | 2 | no | — |
| 41 | #17986799 | C22 | 1 | 1 | yes | characteristic |
| 42 | #17986799 | C22 | 1 | 1 | yes | characteristic |
| 43 | #17986799 | C22 | 1 | 1 | yes | characteristic |
| 44 | #17986798 | — | 2 | 2 | no | — |
| 45 | #17986798 | — | 2 | 2 | no | — |
| 46 | #17986797 | C22 | 1 | 1 | yes | characteristic |
| 47 | #17986797 | C22 | 1 | 1 | yes | characteristic |
| 48 | #17986795 | — | 2 | 2 | no | — |
| 49 | C2×#14556161 | — | 2 | 2 | no | — |
| 50 | C2×#14556161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#14556161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#14556161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×#14556159 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | C2×#14556159 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | C2×#14556158 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #137×D71 | — | 2 | 2 | no | — |
| 57 | #137×D71 | — | 2 | 2 | no | — |
| 58 | #137×D71 | — | 2 | 2 | no | — |
| 59 | #17986765 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #17986765 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #17986765 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #17986545 | C22 | 1 | 1 | yes | characteristic |
| 63 | C2×#14556126 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #17986392 | C22 | 1 | 2 | yes | complemented |
| 65 | #17986390 | C22 | 1 | 2 | yes | complemented |
| 66 | #17986377 | C22 | 1 | 2 | yes | complemented |
| 67 | #17986370 | C22 | 1 | 2 | yes | complemented |
| 68 | #17986275 | C22 | 1 | 4 | yes | complemented |
| 69 | #17986273 | C22 | 1 | 4 | yes | complemented |
| 70 | #17986273 | C22 | 1 | 4 | yes | complemented |
| 71 | #17986265 | C22 | 1 | 4 | yes | complemented |
| 72 | #17986263 | C22 | 1 | 4 | yes | complemented |
| 73 | #17986261 | C22 | 1 | 4 | yes | complemented |
| 74 | #17986184 | C22 | 1 | 4 | yes | complemented |
| 75 | #17986184 | C22 | 1 | 4 | yes | complemented |
| 76 | #17986184 | C22 | 1 | 2 | yes | complemented |
| 77 | #17986180 | C22 | 1 | 4 | yes | complemented |
| 78 | #17986180 | C22 | 1 | 4 | yes | complemented |
| 79 | #17986180 | C22 | 1 | 2 | yes | complemented |
| 80 | #17986179 | C22 | 1 | 2 | yes | complemented |
| 81 | #17986175 | C22 | 1 | 2 | yes | complemented |
| 82 | #17986174 | C22 | 1 | 2 | yes | complemented |
| 83 | #17986170 | C22 | 1 | 2 | yes | complemented |
| 84 | #17986169 | C22 | 1 | 2 | yes | complemented |
| 85 | #17986165 | C22 | 1 | 2 | yes | complemented |
| 86 | #17986120 | C22 | 1 | 4 | yes | complemented |
| 87 | #17986119 | C22 | 1 | 4 | yes | complemented |
| 88 | #17986115 | C22 | 1 | 4 | yes | complemented |
| 89 | #17986114 | C22 | 1 | 4 | yes | complemented |
| 90 | #17986047 | C22 | 1 | 1 | yes | characteristic, complemented |
| 91 | C2×#14556055 | C22 | 1 | 1 | yes | characteristic, complemented |
| 92 | C2×#14556054 | C22 | 1 | 1 | yes | characteristic, complemented |
| 93 | C2×#14556054 | C22 | 1 | 1 | yes | characteristic, complemented |
| 94 | C2×#14556054 | C22 | 1 | 1 | yes | characteristic, complemented |
| 95 | #17985981 | C22 | 1 | 1 | yes | characteristic, complemented |
| 96 | C2×#14556046 | C22 | 1 | 1 | yes | characteristic, complemented |
| 97 | M16×Dic71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 98 | #575×C71 | C22 | 1 | 1 | yes | characteristic |
| 99 | C2×#137×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 100 | C2×#137×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 101 | #568×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 102 | #473×C71 | C22 | 1 | 4 | yes | complemented |
| 103 | #471×C71 | C22 | 1 | 4 | yes | complemented |
| 104 | #430×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 105 | #413×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 106 | C2×#101×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 107 | #14556176 | — | 2 | 2 | no | — |
| 108 | #14556176 | — | 2 | 2 | no | — |
| 109 | #14556176 | — | 2 | 1 | no | — |
| 110 | #14556176 | — | 4 | 1 | no | — |
| 111 | #14556176 | C23 | 1 | 4 | yes | — |
| 112 | #14556176 | C23 | 1 | 2 | yes | — |
| 113 | #14556175 | — | 2 | 1 | no | — |
| 114 | #14556175 | — | 2 | 1 | no | — |
| 115 | #14556175 | — | 2 | 2 | no | — |
| 116 | #14556175 | — | 2 | 1 | no | — |
| 117 | #14556175 | — | 2 | 2 | no | — |
| 118 | #14556175 | — | 4 | 1 | no | — |
| 119 | #14556175 | C23 | 1 | 2 | yes | — |
| 120 | #14556175 | C23 | 1 | 4 | yes | — |
| 121 | #14556174 | — | 2 | 1 | no | — |
| 122 | #14556174 | — | 2 | 1 | no | — |
| 123 | #14556174 | — | 2 | 1 | no | — |
| 124 | #14556174 | C23 | 1 | 2 | yes | — |
| 125 | #14556173 | — | 2 | 1 | no | — |
| 126 | #14556173 | — | 4 | 1 | no | — |
| 127 | #14556173 | — | 4 | 1 | no | — |
| 128 | #14556173 | C23 | 1 | 2 | yes | — |
| 129 | C2×#11765866 | — | 2 | 1 | no | — |
| 130 | C2×#11765866 | — | 2 | 1 | no | — |
| 131 | C2×#11765865 | — | 2 | 2 | no | — |
| 132 | C2×#11765865 | — | 2 | 1 | no | — |
| 133 | C2×#11765865 | — | 4 | 1 | no | — |
| 134 | C2×#11765865 | — | 4 | 1 | no | — |
| 135 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 136 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 137 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 138 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 139 | C2×#11765864 | — | 2 | 1 | no | — |
| 140 | C2×#11765864 | — | 4 | 1 | no | — |
| 141 | #41×D71 | — | 2 | 2 | no | — |
| 142 | #41×D71 | — | 2 | 2 | no | — |
| 143 | #41×D71 | — | 2 | 2 | no | — |
| 144 | #41×D71 | — | 4 | 1 | no | — |
| 145 | C22×Dic142 | — | 2 | 1 | no | — |
| 146 | C22×Dic142 | C23 | 1 | 1 | yes | characteristic |
| 147 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 148 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 149 | C2×Q8×D71 | — | 2 | 1 | no | — |
| 150 | #14556161 | — | 2 | 2 | no | — |
| 151 | #14556161 | — | 2 | 2 | no | — |
| 152 | #14556161 | — | 2 | 1 | no | — |
| 153 | #14556161 | — | 2 | 1 | no | — |
| 154 | #14556161 | — | 2 | 4 | no | — |
| 155 | #14556161 | — | 2 | 4 | no | — |
| 156 | #14556161 | — | 2 | 4 | no | — |
| 157 | #14556161 | — | 2 | 2 | no | — |
| 158 | #14556161 | — | 2 | 2 | no | — |
| 159 | #14556161 | D4 | 1 | 2 | yes | complemented |
| 160 | #14556161 | D4 | 1 | 2 | yes | complemented |
| 161 | #14556161 | C23 | 1 | 2 | yes | — |
| 162 | #14556161 | C23 | 1 | 4 | yes | — |
| 163 | #14556161 | C23 | 1 | 2 | yes | — |
| 164 | #14556161 | C23 | 1 | 4 | yes | — |
| 165 | #14556160 | — | 2 | 4 | no | — |
| 166 | #14556160 | — | 2 | 4 | no | — |
| 167 | #14556160 | — | 2 | 4 | no | — |
| 168 | #14556160 | — | 2 | 4 | no | — |
| 169 | #14556160 | — | 2 | 4 | no | — |
| 170 | #14556159 | — | 2 | 2 | no | — |
| 171 | #14556159 | — | 2 | 2 | no | — |
| 172 | #14556159 | — | 2 | 2 | no | — |
| 173 | #14556159 | D4 | 1 | 2 | yes | complemented |
| 174 | #14556159 | C23 | 1 | 2 | yes | — |
| 175 | #14556159 | C23 | 1 | 4 | yes | — |
| 176 | #14556158 | — | 2 | 1 | no | — |
| 177 | #14556158 | — | 2 | 2 | no | — |
| 178 | #14556158 | — | 2 | 2 | no | — |
| 179 | #14556158 | D4 | 1 | 2 | yes | complemented |
| 180 | #14556157 | — | 2 | 4 | no | — |
| 181 | #14556157 | — | 2 | 4 | no | — |
| 182 | #14556157 | — | 2 | 4 | no | — |
| 183 | #14556157 | — | 2 | 4 | no | — |
| 184 | #14556156 | — | 2 | 1 | no | — |
| 185 | #14556156 | — | 2 | 1 | no | — |
| 186 | #14556156 | — | 2 | 4 | no | — |
| 187 | #14556156 | D4 | 1 | 2 | yes | complemented |
| 188 | #14556156 | D4 | 1 | 2 | yes | complemented |
| 189 | #14556156 | C23 | 1 | 2 | yes | — |
| 190 | #14556156 | C23 | 1 | 2 | yes | — |
| 191 | #14556155 | — | 2 | 4 | no | — |
| 192 | #14556155 | — | 2 | 4 | no | — |
| 193 | #14556154 | D4 | 1 | 2 | yes | complemented |
| 194 | #14556154 | C23 | 1 | 2 | yes | — |
| 195 | #14556153 | — | 2 | 1 | no | — |
| 196 | #14556153 | D4 | 1 | 2 | yes | complemented |
| 197 | #14556152 | — | 2 | 4 | no | — |
| 198 | #14556151 | — | 2 | 4 | no | — |
| 199 | #14556151 | — | 2 | 4 | no | — |
| 200 | #14556150 | — | 2 | 2 | no | — |
| 201 | #14556150 | — | 2 | 2 | no | — |
| 202 | #14556150 | — | 2 | 4 | no | — |
| 203 | #14556150 | — | 2 | 4 | no | — |
| 204 | #14556150 | C23 | 1 | 4 | yes | — |
| 205 | #14556149 | — | 2 | 4 | no | — |
| 206 | #14556149 | — | 2 | 4 | no | — |
| 207 | #14556149 | — | 2 | 4 | no | — |
| 208 | #14556148 | — | 2 | 2 | no | — |
| 209 | #14556148 | C23 | 1 | 4 | yes | — |
| 210 | #14556147 | — | 2 | 4 | no | — |
| 211 | C2×Dic284 | — | 2 | 1 | no | — |
| 212 | C2×Dic284 | — | 2 | 1 | no | — |
| 213 | C2×Dic284 | — | 2 | 4 | no | — |
| 214 | C2×Dic284 | C23 | 1 | 2 | yes | — |
| 215 | C2×#11765855 | — | 2 | 1 | no | — |
| 216 | C2×#11765855 | C23 | 1 | 2 | yes | — |
| 217 | C2×#11765855 | C23 | 1 | 2 | yes | — |
| 218 | Q16×D71 | — | 2 | 4 | no | — |
| 219 | Q16×D71 | — | 2 | 4 | no | — |
| 220 | Q16×D71 | — | 2 | 4 | no | — |
| 221 | C2×#11765854 | — | 2 | 1 | no | — |
| 222 | C2×#11765854 | — | 2 | 1 | no | — |
| 223 | C2×#11765854 | — | 2 | 4 | no | — |
| 224 | C2×#11765854 | C23 | 1 | 2 | yes | — |
| 225 | C2×#11765853 | C23 | 1 | 2 | yes | — |
| 226 | C2×#11765852 | — | 2 | 1 | no | — |
| 227 | C2×#11765852 | C23 | 1 | 2 | yes | — |
| 228 | SD16×D71 | — | 2 | 4 | no | — |
| 229 | SD16×D71 | — | 2 | 4 | no | — |
| 230 | SD16×D71 | — | 2 | 4 | no | — |
| 231 | #14556136 | — | 2 | 2 | no | — |
| 232 | #14556136 | C23 | 1 | 4 | yes | — |
| 233 | #14556136 | C23 | 1 | 4 | yes | — |
| 234 | #14556134 | — | 2 | 2 | no | — |
| 235 | #14556134 | — | 2 | 2 | no | — |
| 236 | #14556134 | C23 | 1 | 4 | yes | — |
| 237 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 238 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 239 | M16×D71 | — | 2 | 2 | no | — |
| 240 | M16×D71 | — | 2 | 2 | no | — |
| 241 | M16×D71 | — | 2 | 2 | no | — |
| 242 | #14556126 | — | 4 | 1 | no | — |
| 243 | #14556126 | C23 | 1 | 2 | yes | — |
| 244 | #14556126 | C23 | 1 | 1 | yes | characteristic |
| 245 | #14556126 | C23 | 1 | 2 | yes | — |
| 246 | #14556124 | C23 | 1 | 1 | yes | characteristic |
| 247 | #14556117 | C23 | 1 | 1 | yes | characteristic |
| 248 | #14556115 | C23 | 1 | 1 | yes | characteristic |
| 249 | #14556100 | — | 4 | 1 | no | — |
| 250 | C4×C22⋊D71 | — | 4 | 1 | no | — |
| 251 | C2×Dic71⋊C4 | — | 4 | 1 | no | — |
| 252 | C2×C4×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 253 | #14556063 | C23 | 1 | 4 | yes | — |
| 254 | #14556055 | C23 | 1 | 2 | yes | — |
| 255 | #14556055 | C23 | 1 | 2 | yes | — |
| 256 | #14556054 | C23 | 1 | 2 | yes | — |
| 257 | #14556054 | C23 | 1 | 2 | yes | — |
| 258 | #14556054 | C23 | 1 | 2 | yes | — |
| 259 | #14556054 | C23 | 1 | 2 | yes | — |
| 260 | #14556054 | C23 | 1 | 2 | yes | — |
| 261 | #14556054 | C23 | 1 | 2 | yes | — |
| 262 | #14556046 | C23 | 1 | 2 | yes | — |
| 263 | #14556046 | C23 | 1 | 4 | yes | — |
| 264 | #14556044 | C23 | 1 | 2 | yes | — |
| 265 | #14556038 | C23 | 1 | 2 | yes | — |
| 266 | C8×Dic71 | C23 | 1 | 2 | yes | — |
| 267 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 268 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 269 | C22×Q8×C71 | C23 | 1 | 1 | yes | characteristic |
| 270 | #137×C71 | — | 2 | 2 | no | — |
| 271 | #137×C71 | — | 2 | 1 | no | — |
| 272 | #137×C71 | — | 2 | 2 | no | — |
| 273 | #137×C71 | — | 2 | 2 | no | — |
| 274 | #137×C71 | C23 | 1 | 4 | yes | — |
| 275 | #137×C71 | C23 | 1 | 2 | yes | — |
| 276 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 277 | AGL(1,ℤ/8)×C71 | C23 | 1 | 2 | yes | — |
| 278 | #135×C71 | — | 2 | 2 | no | — |
| 279 | C2×Q16×C71 | — | 2 | 1 | no | — |
| 280 | C2×Q16×C71 | C23 | 1 | 2 | yes | — |
| 281 | C2×SD16×C71 | — | 2 | 1 | no | — |
| 282 | C2×SD16×C71 | C23 | 1 | 2 | yes | — |
| 283 | #131×C71 | — | 2 | 2 | no | — |
| 284 | #131×C71 | C23 | 1 | 4 | yes | — |
| 285 | C2×M16×C71 | — | 2 | 2 | no | — |
| 286 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 287 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 288 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 289 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 290 | #108×C71 | C23 | 1 | 4 | yes | — |
| 291 | #101×C71 | C23 | 1 | 4 | yes | — |
| 292 | #101×C71 | C23 | 1 | 2 | yes | — |
| 293 | #100×C71 | C23 | 1 | 2 | yes | — |
| 294 | #11765866 | — | 2 | 2 | no | — |
| 295 | #11765866 | — | 2 | 2 | no | — |
| 296 | #11765866 | — | 2 | 2 | no | — |
| 297 | #11765866 | — | 2 | 4 | no | — |
| 298 | #11765866 | — | 2 | 4 | no | — |
| 299 | #11765866 | — | 4 | 2 | no | — |
| 300 | #11765866 | — | 4 | 2 | no | — |
| 301 | #11765866 | — | 4 | 1 | no | — |
| 302 | #11765865 | — | 2 | 1 | no | — |
| 303 | #11765865 | — | 2 | 1 | no | — |
| 304 | #11765865 | — | 2 | 1 | no | — |
| 305 | #11765865 | — | 2 | 1 | no | — |
| 306 | #11765865 | — | 2 | 1 | no | — |
| 307 | #11765865 | — | 2 | 1 | no | — |
| 308 | #11765865 | — | 2 | 1 | no | — |
| 309 | #11765865 | — | 2 | 1 | no | — |
| 310 | #11765865 | — | 2 | 1 | no | — |
| 311 | #11765865 | — | 2 | 1 | no | — |
| 312 | #11765865 | — | 2 | 2 | no | — |
| 313 | #11765865 | — | 2 | 4 | no | — |
| 314 | #11765865 | — | 2 | 2 | no | — |
| 315 | #11765865 | — | 4 | 1 | no | — |
| 316 | #11765865 | — | 4 | 1 | no | — |
| 317 | #11765865 | — | 4 | 2 | no | — |
| 318 | #11765865 | — | 4 | 2 | no | — |
| 319 | #11765865 | — | 4 | 2 | no | — |
| 320 | #11765865 | — | 4 | 2 | no | — |
| 321 | #11765865 | — | 4 | 4 | no | — |
| 322 | #11765865 | — | 4 | 4 | no | — |
| 323 | #11765865 | — | 4 | 2 | no | — |
| 324 | #11765865 | C2×D4 | 1 | 2 | yes | — |
| 325 | #11765865 | C2×D4 | 1 | 2 | yes | — |
| 326 | #11765865 | C2×D4 | 1 | 2 | yes | — |
| 327 | #11765865 | C24 | 1 | 2 | yes | — |
| 328 | #11765865 | C24 | 1 | 2 | yes | — |
| 329 | #11765865 | C24 | 1 | 2 | yes | — |
| 330 | #11765864 | — | 2 | 2 | no | — |
| 331 | #11765864 | — | 2 | 4 | no | — |
| 332 | #11765864 | — | 2 | 2 | no | — |
| 333 | #11765864 | — | 2 | 2 | no | — |
| 334 | #11765864 | — | 4 | 1 | no | — |
| 335 | #11765864 | — | 4 | 2 | no | — |
| 336 | #11765864 | — | 4 | 2 | no | — |
| 337 | #11765864 | — | 4 | 4 | no | — |
| 338 | #11765864 | — | 4 | 2 | no | — |
| 339 | #11765864 | — | 4 | 2 | no | — |
| 340 | #11765864 | — | 4 | 2 | no | — |
| 341 | #11765864 | — | 4 | 4 | no | — |
| 342 | C2×Dic142 | — | 2 | 1 | no | — |
| 343 | C2×Dic142 | — | 2 | 1 | no | — |
| 344 | C2×Dic142 | — | 2 | 1 | no | — |
| 345 | C2×Dic142 | — | 2 | 1 | no | — |
| 346 | C2×Dic142 | — | 2 | 4 | no | — |
| 347 | C2×Dic142 | — | 2 | 2 | no | — |
| 348 | C2×Dic142 | — | 2 | 1 | no | — |
| 349 | C2×Dic142 | — | 4 | 1 | no | — |
| 350 | C2×Dic142 | — | 4 | 2 | no | — |
| 351 | C2×Dic142 | — | 4 | 1 | no | — |
| 352 | C2×Dic142 | — | 4 | 1 | no | — |
| 353 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 354 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 355 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 356 | C2×Dic142 | C24 | 1 | 2 | yes | — |
| 357 | C2×Dic142 | C24 | 1 | 1 | yes | characteristic |
| 358 | Q8×D71 | — | 2 | 2 | no | — |
| 359 | Q8×D71 | — | 2 | 4 | no | — |
| 360 | Q8×D71 | — | 2 | 2 | no | — |
| 361 | Q8×D71 | — | 2 | 4 | no | — |
| 362 | Q8×D71 | — | 2 | 4 | no | — |
| 363 | Q8×D71 | — | 2 | 2 | no | — |
| 364 | Q8×D71 | — | 4 | 2 | no | — |
| 365 | Q8×D71 | — | 4 | 2 | no | — |
| 366 | Q8×D71 | — | 4 | 1 | no | — |
| 367 | Q8×D71 | — | 4 | 2 | no | — |
| 368 | C2×D284 | — | 2 | 2 | no | — |
| 369 | C2×D284 | — | 4 | 1 | no | — |
| 370 | C2×D284 | — | 4 | 1 | no | — |
| 371 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 372 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 373 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 374 | C2×D284 | C24 | 1 | 1 | yes | characteristic |
| 375 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 376 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 377 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 378 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 379 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 380 | C2×C22⋊D71 | — | 4 | 2 | no | — |
| 381 | C2×C22⋊D71 | — | 4 | 2 | no | — |
| 382 | C2×C22⋊D71 | — | 4 | 1 | no | — |
| 383 | D4×D71 | — | 2 | 2 | no | — |
| 384 | D4×D71 | — | 2 | 2 | no | — |
| 385 | D4×D71 | — | 2 | 2 | no | — |
| 386 | D4×D71 | — | 4 | 1 | no | — |
| 387 | D4×D71 | — | 4 | 2 | no | — |
| 388 | D4×D71 | — | 4 | 2 | no | — |
| 389 | D4×D71 | — | 4 | 2 | no | — |
| 390 | D4×D71 | — | 4 | 2 | no | — |
| 391 | C22×Dic71 | — | 2 | 1 | no | — |
| 392 | C22×Dic71 | — | 2 | 1 | no | — |
| 393 | C22×Dic71 | — | 4 | 1 | no | — |
| 394 | C2×C4×D71 | — | 2 | 1 | no | — |
| 395 | C2×C4×D71 | — | 2 | 1 | no | — |
| 396 | C2×C4×D71 | — | 2 | 1 | no | — |
| 397 | C2×C4×D71 | — | 2 | 1 | no | — |
| 398 | C2×C4×D71 | — | 4 | 2 | no | — |
| 399 | C2×C4×D71 | — | 4 | 2 | no | — |
| 400 | C2×C4×D71 | — | 4 | 1 | no | — |
| 401 | C2×C4×D71 | — | 4 | 1 | no | — |
| 402 | C2×C4×D71 | — | 4 | 1 | no | — |
| 403 | Dic284 | — | 2 | 4 | no | — |
| 404 | Dic284 | — | 2 | 2 | no | — |
| 405 | Dic284 | — | 2 | 2 | no | — |
| 406 | Dic284 | — | 2 | 4 | no | — |
| 407 | Dic284 | — | 2 | 4 | no | — |
| 408 | Dic284 | C2×D4 | 1 | 4 | yes | — |
| 409 | #11765855 | — | 2 | 2 | no | — |
| 410 | #11765855 | — | 2 | 4 | no | — |
| 411 | #11765855 | — | 2 | 4 | no | — |
| 412 | #11765855 | — | 2 | 4 | no | — |
| 413 | #11765855 | C2×D4 | 1 | 4 | yes | — |
| 414 | #11765854 | — | 2 | 2 | no | — |
| 415 | #11765854 | — | 2 | 4 | no | — |
| 416 | #11765854 | — | 2 | 4 | no | — |
| 417 | #11765854 | — | 2 | 2 | no | — |
| 418 | #11765854 | — | 2 | 2 | no | — |
| 419 | #11765854 | — | 2 | 2 | no | — |
| 420 | #11765854 | — | 2 | 4 | no | — |
| 421 | #11765854 | C2×D4 | 1 | 4 | yes | — |
| 422 | #11765854 | C2×D4 | 1 | 4 | yes | — |
| 423 | #11765853 | — | 2 | 2 | no | — |
| 424 | #11765853 | — | 2 | 4 | no | — |
| 425 | #11765853 | C2×D4 | 1 | 4 | yes | — |
| 426 | #11765852 | — | 2 | 2 | no | — |
| 427 | #11765852 | — | 2 | 4 | no | — |
| 428 | #11765852 | — | 2 | 4 | no | — |
| 429 | #11765852 | C2×D4 | 1 | 4 | yes | — |
| 430 | D568 | — | 2 | 2 | no | — |
| 431 | D568 | — | 2 | 2 | no | — |
| 432 | D568 | C2×D4 | 1 | 4 | yes | — |
| 433 | #11765850 | — | 2 | 2 | no | — |
| 434 | #11765850 | C2×D4 | 1 | 4 | yes | — |
| 435 | #11765849 | — | 2 | 1 | no | — |
| 436 | #11765849 | C2×D4 | 1 | 2 | yes | — |
| 437 | #11765849 | C2×D4 | 1 | 2 | yes | — |
| 438 | #11765849 | C24 | 1 | 2 | yes | — |
| 439 | #11765848 | — | 2 | 4 | no | — |
| 440 | #11765848 | — | 2 | 4 | no | — |
| 441 | #11765848 | — | 2 | 4 | no | — |
| 442 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 443 | C2×C71⋊C8 | C24 | 1 | 2 | yes | — |
| 444 | C8×D71 | — | 2 | 4 | no | — |
| 445 | C8×D71 | — | 2 | 4 | no | — |
| 446 | C8×D71 | — | 2 | 4 | no | — |
| 447 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 448 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 449 | Dic71⋊C4 | — | 4 | 1 | no | — |
| 450 | C22⋊Dic71 | — | 4 | 1 | no | — |
| 451 | (C2×D71)⋊C4 | — | 4 | 1 | no | — |
| 452 | C4×Dic71 | — | 2 | 1 | no | — |
| 453 | C4×Dic71 | C24 | 1 | 1 | yes | characteristic |
| 454 | C4×Dic71 | C24 | 1 | 1 | yes | characteristic |
| 455 | #41×C71 | — | 2 | 1 | no | — |
| 456 | #41×C71 | — | 2 | 1 | no | — |
| 457 | #41×C71 | — | 2 | 1 | no | — |
| 458 | #41×C71 | — | 2 | 1 | no | — |
| 459 | #41×C71 | — | 2 | 1 | no | — |
| 460 | #41×C71 | — | 2 | 1 | no | — |
| 461 | #41×C71 | C2×D4 | 1 | 2 | yes | — |
| 462 | #41×C71 | C24 | 1 | 2 | yes | — |
| 463 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 464 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 465 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 466 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 467 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 468 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 469 | C2×Q8×C71 | C24 | 1 | 2 | yes | — |
| 470 | C2×Q8×C71 | C24 | 1 | 1 | yes | characteristic |
| 471 | C2×D4×C71 | — | 2 | 1 | no | — |
| 472 | C2×D4×C71 | — | 2 | 1 | no | — |
| 473 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 474 | C2×D4×C71 | C24 | 1 | 1 | yes | characteristic |
| 475 | C22×C4×C71 | — | 2 | 1 | no | — |
| 476 | C22×C4×C71 | — | 2 | 1 | no | — |
| 477 | C22×C4×C71 | — | 2 | 1 | no | — |
| 478 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 479 | Q16×C71 | — | 2 | 4 | no | — |
| 480 | Q16×C71 | — | 2 | 2 | no | — |
| 481 | Q16×C71 | — | 2 | 4 | no | — |
| 482 | SD16×C71 | — | 2 | 2 | no | — |
| 483 | SD16×C71 | — | 2 | 4 | no | — |
| 484 | SD16×C71 | — | 2 | 2 | no | — |
| 485 | SD16×C71 | — | 2 | 4 | no | — |
| 486 | D8×C71 | — | 2 | 2 | no | — |
| 487 | M16×C71 | — | 2 | 1 | no | — |
| 488 | M16×C71 | — | 2 | 1 | no | — |
| 489 | M16×C71 | — | 2 | 1 | no | — |
| 490 | M16×C71 | — | 2 | 4 | no | — |
| 491 | M16×C71 | C2×D4 | 1 | 2 | yes | — |
| 492 | M16×C71 | C2×D4 | 1 | 2 | yes | — |
| 493 | M16×C71 | C24 | 1 | 2 | yes | — |
| 494 | M16×C71 | C24 | 1 | 2 | yes | — |
| 495 | M16×C71 | C24 | 1 | 2 | yes | — |
| 496 | C2×C8×C71 | — | 2 | 1 | no | — |
| 497 | C2×C8×C71 | — | 2 | 1 | no | — |
| 498 | C2×C8×C71 | — | 2 | 1 | no | — |
| 499 | C2×C8×C71 | — | 2 | 4 | no | — |
| 500 | C2×C8×C71 | C24 | 1 | 2 | yes | — |
| 501 | C23×C71 | — | 2 | 1 | no | — |
| 502 | C23×C71 | — | 2 | 1 | no | — |
| 503 | C23×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 504 | C22×D71 | — | 2 | 1 | no | — |
| 505 | C22×D71 | — | 2 | 1 | no | — |
| 506 | C22×D71 | — | 2 | 1 | no | — |
| 507 | C22×D71 | — | 2 | 1 | no | — |
| 508 | C22×D71 | — | 4 | 2 | no | — |
| 509 | C22×D71 | — | 4 | 2 | no | — |
| 510 | Q8×C71 | — | 2 | 1 | no | — |
| 511 | Q8×C71 | — | 2 | 2 | no | — |
| 512 | Q8×C71 | — | 2 | 2 | no | — |
| 513 | Q8×C71 | — | 2 | 1 | no | — |
| 514 | Q8×C71 | — | 2 | 1 | no | — |
| 515 | Q8×C71 | — | 4 | 1 | no | — |
| 516 | Q8×C71 | — | 4 | 1 | no | — |
| 517 | Q8×C71 | C22×D4 | 1 | 2 | yes | — |
| 518 | D4×C71 | — | 2 | 2 | no | — |
| 519 | D4×C71 | — | 2 | 2 | no | — |
| 520 | D4×C71 | — | 2 | 1 | no | — |
| 521 | D4×C71 | — | 2 | 1 | no | — |
| 522 | D4×C71 | — | 2 | 1 | no | — |
| 523 | D4×C71 | — | 4 | 1 | no | — |
| 524 | D4×C71 | — | 4 | 1 | no | — |
| 525 | D4×C71 | C22×D4 | 1 | 2 | yes | — |
| 526 | C2×C4×C71 | — | 2 | 1 | no | — |
| 527 | C2×C4×C71 | — | 2 | 2 | no | — |
| 528 | C2×C4×C71 | — | 2 | 2 | no | — |
| 529 | C2×C4×C71 | — | 2 | 1 | no | — |
| 530 | C2×C4×C71 | — | 2 | 2 | no | — |
| 531 | C2×C4×C71 | — | 4 | 1 | no | — |
| 532 | C2×C4×C71 | — | 4 | 1 | no | — |
| 533 | C2×C4×C71 | — | 4 | 1 | no | — |
| 534 | C2×C4×C71 | — | 4 | 1 | no | — |
| 535 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 536 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 537 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 538 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 539 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 540 | C2×C4×C71 | C25 | 1 | 1 | yes | characteristic |
| 541 | C22⋊D71 | — | 2 | 2 | no | — |
| 542 | C22⋊D71 | — | 2 | 2 | no | — |
| 543 | C22⋊D71 | — | 2 | 2 | no | — |
| 544 | C22⋊D71 | — | 2 | 2 | no | — |
| 545 | C22⋊D71 | — | 2 | 2 | no | — |
| 546 | C22⋊D71 | — | 2 | 2 | no | — |
| 547 | C22⋊D71 | — | 4 | 2 | no | — |
| 548 | C22⋊D71 | — | 4 | 2 | no | — |
| 549 | C22⋊D71 | — | 4 | 2 | no | — |
| 550 | C22⋊D71 | — | 4 | 2 | no | — |
| 551 | C22⋊D71 | — | 4 | 4 | no | — |
| 552 | C22⋊D71 | — | 4 | 1 | no | — |
| 553 | C22⋊D71 | — | 4 | 1 | no | — |
| 554 | C22⋊D71 | — | 8 | 2 | no | — |
| 555 | C2×Dic71 | — | 2 | 1 | no | — |
| 556 | C2×Dic71 | — | 2 | 1 | no | — |
| 557 | C2×Dic71 | — | 2 | 1 | no | — |
| 558 | C2×Dic71 | — | 2 | 1 | no | — |
| 559 | C2×Dic71 | — | 2 | 1 | no | — |
| 560 | C2×Dic71 | — | 2 | 1 | no | — |
| 561 | C2×Dic71 | — | 2 | 2 | no | — |
| 562 | C2×Dic71 | — | 4 | 2 | no | — |
| 563 | C2×Dic71 | — | 4 | 2 | no | — |
| 564 | C2×Dic71 | — | 4 | 4 | no | — |
| 565 | C2×Dic71 | — | 4 | 2 | no | — |
| 566 | C2×Dic71 | — | 4 | 1 | no | — |
| 567 | C2×Dic71 | — | 4 | 1 | no | — |
| 568 | D284 | — | 2 | 1 | no | — |
| 569 | D284 | — | 2 | 1 | no | — |
| 570 | D284 | — | 2 | 1 | no | — |
| 571 | D284 | — | 2 | 1 | no | — |
| 572 | D284 | — | 2 | 1 | no | — |
| 573 | D284 | — | 4 | 2 | no | — |
| 574 | D284 | — | 4 | 2 | no | — |
| 575 | D284 | — | 4 | 4 | no | — |
| 576 | D284 | C22×D4 | 1 | 2 | yes | — |
| 577 | D284 | C22×D4 | 1 | 2 | yes | — |
| 578 | D284 | C22×D4 | 1 | 2 | yes | — |
| 579 | C4×D71 | — | 2 | 2 | no | — |
| 580 | C4×D71 | — | 2 | 2 | no | — |
| 581 | C4×D71 | — | 2 | 2 | no | — |
| 582 | C4×D71 | — | 2 | 2 | no | — |
| 583 | C4×D71 | — | 2 | 2 | no | — |
| 584 | C4×D71 | — | 2 | 2 | no | — |
| 585 | C4×D71 | — | 4 | 2 | no | — |
| 586 | C4×D71 | — | 4 | 2 | no | — |
| 587 | C4×D71 | — | 4 | 2 | no | — |
| 588 | C4×D71 | — | 4 | 4 | no | — |
| 589 | C4×D71 | — | 4 | 4 | no | — |
| 590 | C4×D71 | — | 4 | 2 | no | — |
| 591 | C4×D71 | — | 4 | 4 | no | — |
| 592 | C4×D71 | — | 4 | 1 | no | — |
| 593 | C4×D71 | — | 4 | 1 | no | — |
| 594 | Dic142 | — | 2 | 1 | no | — |
| 595 | Dic142 | — | 2 | 1 | no | — |
| 596 | Dic142 | — | 2 | 1 | no | — |
| 597 | Dic142 | — | 2 | 2 | no | — |
| 598 | Dic142 | — | 2 | 2 | no | — |
| 599 | Dic142 | — | 2 | 1 | no | — |
| 600 | Dic142 | — | 2 | 1 | no | — |
| 601 | Dic142 | — | 4 | 4 | no | — |
| 602 | Dic142 | — | 4 | 2 | no | — |
| 603 | Dic142 | — | 4 | 4 | no | — |
| 604 | Dic142 | — | 4 | 2 | no | — |
| 605 | Dic142 | — | 4 | 1 | no | — |
| 606 | Dic142 | — | 4 | 1 | no | — |
| 607 | Dic142 | C22×D4 | 1 | 2 | yes | — |
| 608 | Dic142 | C22×D4 | 1 | 2 | yes | — |
| 609 | Dic142 | C22×D4 | 1 | 2 | yes | — |
| 610 | C8×C71 | — | 2 | 2 | no | — |
| 611 | C8×C71 | — | 2 | 2 | no | — |
| 612 | C8×C71 | — | 2 | 2 | no | — |
| 613 | C8×C71 | C22×D4 | 1 | 4 | yes | — |
| 614 | C71⋊C8 | — | 2 | 2 | no | — |
| 615 | C71⋊C8 | C22×D4 | 1 | 4 | yes | — |
| 616 | C22×C71 | — | 2 | 2 | no | — |
| 617 | C22×C71 | — | 4 | 1 | no | — |
| 618 | C22×C71 | — | 4 | 1 | no | — |
| 619 | C22×C71 | — | 8 | 1 | no | — |
| 620 | C22×C71 | — | 8 | 1 | no | — |
| 621 | C22×C71 | D42 | 1 | 1 | yes | characteristic |
| 622 | C22×C71 | D42 | 1 | 1 | yes | characteristic |
| 623 | C22×C71 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 624 | C2×D71 | — | 2 | 2 | no | — |
| 625 | C2×D71 | — | 2 | 2 | no | — |
| 626 | C2×D71 | — | 2 | 2 | no | — |
| 627 | C2×D71 | — | 4 | 1 | no | — |
| 628 | C2×D71 | — | 8 | 1 | no | — |
| 629 | C2×D71 | — | 8 | 1 | no | — |
| 630 | C2×D71 | — | 8 | 1 | no | — |
| 631 | C2×D71 | — | 8 | 1 | no | — |
| 632 | C2×D71 | — | 16 | 2 | no | — |
| 633 | C2×D71 | — | 16 | 2 | no | — |
| 634 | C4×C71 | — | 2 | 2 | no | — |
| 635 | C4×C71 | — | 4 | 1 | no | — |
| 636 | C4×C71 | — | 4 | 2 | no | — |
| 637 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 638 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 639 | C4×C71 | C23×D4 | 1 | 1 | yes | characteristic |
| 640 | C4×C71 | C23×D4 | 1 | 1 | yes | characteristic |
| 641 | Dic71 | — | 2 | 2 | no | — |
| 642 | Dic71 | — | 2 | 2 | no | — |
| 643 | Dic71 | — | 2 | 2 | no | — |
| 644 | Dic71 | — | 2 | 2 | no | — |
| 645 | Dic71 | — | 4 | 1 | no | — |
| 646 | Dic71 | — | 4 | 2 | no | — |
| 647 | Dic71 | — | 4 | 1 | no | — |
| 648 | #61111 | — | 71 | 1 | no | maximal, Sylow |
| 649 | C2×C71 | — | 2 | 1 | no | — |
| 650 | C2×C71 | — | 2 | 1 | no | — |
| 651 | C2×C71 | — | 2 | 1 | no | — |
| 652 | C2×C71 | — | 4 | 2 | no | — |
| 653 | C2×C71 | — | 8 | 1 | no | — |
| 654 | C2×C71 | C2×D42 | 1 | 1 | yes | characteristic |
| 655 | D71 | — | 4 | 2 | no | — |
| 656 | D71 | — | 4 | 2 | no | — |
| 657 | D71 | — | 4 | 2 | no | — |
| 658 | D71 | — | 8 | 1 | no | — |
| 659 | #3586 | — | 71 | 1 | no | — |
| 660 | #3586 | — | 71 | 1 | no | — |
| 661 | #3586 | — | 71 | 1 | no | — |
| 662 | #3586 | — | 71 | 1 | no | — |
| 663 | #3293 | — | 71 | 4 | no | — |
| 664 | #3291 | — | 71 | 4 | no | — |
| 665 | #3289 | — | 71 | 4 | no | — |
| 666 | #3289 | — | 71 | 4 | no | — |
| 667 | #3152 | — | 71 | 1 | no | — |
| 668 | #3069 | — | 71 | 1 | no | — |
| 669 | #3069 | — | 71 | 1 | no | — |
| 670 | #3069 | — | 71 | 1 | no | — |
| 671 | #3069 | D71 | 1 | 1 | yes | characteristic, complemented |
| 672 | #3018 | — | 71 | 1 | no | — |
| 673 | #3018 | — | 71 | 1 | no | — |
| 674 | C2×#456 | — | 71 | 1 | no | — |
| 675 | C2×#456 | — | 71 | 1 | no | — |
| 676 | #2956 | — | 71 | 1 | no | — |
| 677 | #2956 | — | 71 | 1 | no | — |
| 678 | C71 | #61111 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 679 | #585 | — | 71 | 1 | no | — |
| 680 | #585 | — | 71 | 1 | no | — |
| 681 | C2×2−1+4 | — | 71 | 1 | no | — |
| 682 | C2×2−1+4 | — | 71 | 1 | no | — |
| 683 | #578 | — | 71 | 4 | no | — |
| 684 | #578 | — | 71 | 4 | no | — |
| 685 | #578 | — | 71 | 4 | no | — |
| 686 | #578 | — | 71 | 4 | no | — |
| 687 | #578 | — | 142 | 2 | no | — |
| 688 | #578 | — | 142 | 2 | no | — |
| 689 | #578 | — | 142 | 2 | no | — |
| 690 | #578 | — | 142 | 2 | no | — |
| 691 | #577 | — | 71 | 4 | no | — |
| 692 | #577 | — | 71 | 4 | no | — |
| 693 | #577 | — | 71 | 4 | no | — |
| 694 | #577 | — | 71 | 4 | no | — |
| 695 | #577 | — | 142 | 2 | no | — |
| 696 | #577 | — | 142 | 2 | no | — |
| 697 | #577 | — | 142 | 2 | no | — |
| 698 | #577 | — | 142 | 2 | no | — |
| 699 | #575 | — | 71 | 1 | no | — |
| 700 | #575 | — | 71 | 1 | no | — |
| 701 | #575 | — | 71 | 1 | no | — |
| 702 | #575 | — | 71 | 1 | no | — |
| 703 | #575 | — | 71 | 1 | no | — |
| 704 | #575 | — | 142 | 2 | no | — |
| 705 | #575 | — | 142 | 2 | no | — |
| 706 | #575 | — | 142 | 2 | no | — |
| 707 | #575 | — | 142 | 2 | no | — |
| 708 | #575 | C2×D71 | 1 | 1 | yes | characteristic |
| 709 | C2×#137 | — | 71 | 1 | no | — |
| 710 | C2×#137 | — | 71 | 1 | no | — |
| 711 | C2×#137 | — | 71 | 1 | no | — |
| 712 | C2×#137 | — | 71 | 1 | no | — |
| 713 | C2×#137 | — | 71 | 1 | no | — |
| 714 | C2×#137 | — | 71 | 1 | no | — |
| 715 | C2×#137 | — | 142 | 2 | no | — |
| 716 | C2×#137 | — | 142 | 2 | no | — |
| 717 | C2×#137 | — | 142 | 2 | no | — |
| 718 | C2×#137 | — | 142 | 2 | no | — |
| 719 | C2×#137 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 720 | C2×#137 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 721 | #568 | — | 71 | 1 | no | — |
| 722 | #568 | — | 71 | 1 | no | — |
| 723 | #568 | — | 71 | 1 | no | — |
| 724 | #568 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 725 | #532 | — | 71 | 1 | no | — |
| 726 | C2×C4⋊Q8 | — | 71 | 1 | no | — |
| 727 | #497 | — | 71 | 2 | no | — |
| 728 | #497 | — | 71 | 2 | no | — |
| 729 | #494 | — | 71 | 2 | no | — |
| 730 | #492 | — | 71 | 2 | no | — |
| 731 | #473 | — | 71 | 4 | no | — |
| 732 | #473 | — | 71 | 4 | no | — |
| 733 | #473 | — | 71 | 4 | no | — |
| 734 | #473 | C2×D71 | 1 | 4 | yes | complemented |
| 735 | #471 | — | 71 | 4 | no | — |
| 736 | #471 | — | 71 | 4 | no | — |
| 737 | #471 | — | 71 | 4 | no | — |
| 738 | #471 | C2×D71 | 1 | 4 | yes | complemented |
| 739 | #456 | — | 71 | 4 | no | — |
| 740 | #456 | — | 71 | 4 | no | — |
| 741 | #456 | — | 71 | 2 | no | — |
| 742 | #456 | — | 71 | 4 | no | — |
| 743 | #456 | — | 71 | 4 | no | — |
| 744 | #456 | — | 71 | 2 | no | — |
| 745 | #455 | — | 71 | 2 | no | — |
| 746 | #455 | — | 71 | 2 | no | — |
| 747 | #454 | — | 71 | 2 | no | — |
| 748 | #454 | — | 71 | 2 | no | — |
| 749 | #453 | — | 71 | 2 | no | — |
| 750 | #453 | — | 71 | 2 | no | — |
| 751 | #444 | — | 71 | 4 | no | — |
| 752 | #444 | — | 71 | 4 | no | — |
| 753 | #443 | — | 71 | 4 | no | — |
| 754 | #443 | — | 71 | 4 | no | — |
| 755 | #430 | — | 71 | 1 | no | — |
| 756 | #430 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 757 | C2×#104 | — | 71 | 1 | no | — |
| 758 | C2×#104 | — | 71 | 1 | no | — |
| 759 | C2×#104 | — | 71 | 1 | no | — |
| 760 | C2×#104 | — | 71 | 1 | no | — |
| 761 | #413 | — | 71 | 1 | no | — |
| 762 | #413 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 763 | C2×#101 | — | 71 | 1 | no | — |
| 764 | C2×#101 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 765 | C4×M16 | — | 71 | 1 | no | — |
| 766 | 2−1+4 | — | 284 | 1 | no | — |
| 767 | 2−1+4 | — | 284 | 1 | no | — |
| 768 | 2−1+4 | — | 71 | 4 | no | — |
| 769 | 2−1+4 | — | 71 | 2 | no | — |
| 770 | 2−1+4 | — | 71 | 4 | no | — |
| 771 | 2−1+4 | — | 71 | 2 | no | — |
| 772 | 2−1+4 | — | 142 | 2 | no | — |
| 773 | 2−1+4 | — | 142 | 2 | no | — |
| 774 | 2−1+4 | — | 142 | 1 | no | — |
| 775 | 2−1+4 | — | 142 | 1 | no | — |
| 776 | 2−1+4 | — | 142 | 1 | no | — |
| 777 | 2−1+4 | — | 142 | 2 | no | — |
| 778 | 2−1+4 | — | 142 | 2 | no | — |
| 779 | 2−1+4 | — | 142 | 1 | no | — |
| 780 | H(5,𝔽2) | — | 284 | 1 | no | — |
| 781 | H(5,𝔽2) | — | 284 | 1 | no | — |
| 782 | H(5,𝔽2) | — | 71 | 2 | no | — |
| 783 | H(5,𝔽2) | — | 71 | 2 | no | — |
| 784 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 785 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 786 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 787 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 788 | C2×#41 | — | 284 | 1 | no | — |
| 789 | C2×#41 | — | 284 | 1 | no | — |
| 790 | C2×#41 | — | 284 | 1 | no | — |
| 791 | C2×#41 | — | 284 | 1 | no | — |
| 792 | C2×#41 | — | 71 | 1 | no | — |
| 793 | C2×#41 | — | 71 | 1 | no | — |
| 794 | C2×#41 | — | 71 | 1 | no | — |
| 795 | C2×#41 | — | 71 | 1 | no | — |
| 796 | C2×#41 | — | 142 | 1 | no | — |
| 797 | C2×#41 | — | 142 | 2 | no | — |
| 798 | C2×#41 | — | 142 | 1 | no | — |
| 799 | C2×#41 | — | 142 | 1 | no | — |
| 800 | C2×#41 | — | 142 | 2 | no | — |
| 801 | C2×#41 | — | 142 | 2 | no | — |
| 802 | C2×#41 | — | 142 | 2 | no | — |
| 803 | C2×#41 | — | 142 | 1 | no | — |
| 804 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 805 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 806 | C22×Q8 | — | 71 | 1 | no | — |
| 807 | C22×Q8 | — | 142 | 1 | no | — |
| 808 | C22×Q8 | — | 142 | 1 | no | — |
| 809 | C22×Q8 | — | 142 | 1 | no | — |
| 810 | C22×Q8 | — | 142 | 1 | no | — |
| 811 | C22×Q8 | C22×D71 | 1 | 1 | yes | characteristic |
| 812 | #137 | — | 2 | 2 | no | — |
| 813 | #137 | — | 2 | 1 | no | — |
| 814 | #137 | — | 2 | 2 | no | — |
| 815 | #137 | — | 2 | 2 | no | — |
| 816 | #137 | — | 71 | 2 | no | — |
| 817 | #137 | — | 71 | 2 | no | — |
| 818 | #137 | — | 71 | 4 | no | — |
| 819 | #137 | — | 71 | 2 | no | — |
| 820 | #137 | — | 71 | 2 | no | — |
| 821 | #137 | — | 71 | 2 | no | — |
| 822 | #137 | — | 71 | 4 | no | — |
| 823 | #137 | — | 71 | 4 | no | — |
| 824 | #137 | — | 71 | 2 | no | — |
| 825 | #137 | — | 71 | 2 | no | — |
| 826 | #137 | — | 142 | 4 | no | — |
| 827 | #137 | — | 142 | 4 | no | — |
| 828 | #137 | — | 142 | 4 | no | — |
| 829 | #137 | — | 142 | 1 | no | — |
| 830 | #137 | — | 142 | 1 | no | — |
| 831 | #137 | — | 142 | 2 | no | — |
| 832 | #137 | — | 142 | 2 | no | — |
| 833 | #137 | — | 142 | 2 | no | — |
| 834 | #137 | — | 142 | 2 | no | — |
| 835 | #137 | — | 142 | 2 | no | — |
| 836 | #137 | — | 142 | 2 | no | — |
| 837 | #137 | — | 142 | 4 | no | — |
| 838 | #137 | — | 142 | 4 | no | — |
| 839 | #137 | — | 142 | 4 | no | — |
| 840 | #137 | — | 142 | 4 | no | — |
| 841 | #137 | — | 142 | 4 | no | — |
| 842 | #137 | — | 142 | 4 | no | — |
| 843 | #137 | — | 142 | 4 | no | — |
| 844 | #137 | — | 142 | 4 | no | — |
| 845 | #137 | — | 142 | 4 | no | — |
| 846 | #137 | — | 142 | 2 | no | — |
| 847 | #137 | — | 142 | 1 | no | — |
| 848 | #137 | — | 142 | 2 | no | — |
| 849 | #137 | — | 142 | 2 | no | — |
| 850 | #137 | C22×D71 | 1 | 4 | yes | — |
| 851 | #137 | C22×D71 | 1 | 2 | yes | — |
| 852 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 853 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 854 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 855 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 856 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 857 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 858 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 859 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 860 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 861 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 862 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 863 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 864 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 865 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 866 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 867 | AGL(1,ℤ/8) | C22×D71 | 1 | 2 | yes | — |
| 868 | #135 | — | 2 | 2 | no | — |
| 869 | #135 | — | 71 | 4 | no | — |
| 870 | #135 | — | 71 | 4 | no | — |
| 871 | #135 | — | 142 | 4 | no | — |
| 872 | #135 | — | 142 | 4 | no | — |
| 873 | #135 | — | 142 | 2 | no | — |
| 874 | #135 | — | 142 | 2 | no | — |
| 875 | #135 | — | 142 | 4 | no | — |
| 876 | #135 | — | 142 | 4 | no | — |
| 877 | #135 | — | 142 | 4 | no | — |
| 878 | #135 | — | 142 | 4 | no | — |
| 879 | #135 | — | 142 | 4 | no | — |
| 880 | #135 | — | 142 | 4 | no | — |
| 881 | #135 | — | 142 | 2 | no | — |
| 882 | C2×Q16 | — | 2 | 1 | no | — |
| 883 | C2×Q16 | — | 71 | 2 | no | — |
| 884 | C2×Q16 | — | 71 | 2 | no | — |
| 885 | C2×Q16 | — | 71 | 2 | no | — |
| 886 | C2×Q16 | — | 142 | 4 | no | — |
| 887 | C2×Q16 | — | 142 | 1 | no | — |
| 888 | C2×Q16 | — | 142 | 1 | no | — |
| 889 | C2×Q16 | — | 142 | 4 | no | — |
| 890 | C2×Q16 | — | 142 | 4 | no | — |
| 891 | C2×Q16 | — | 142 | 4 | no | — |
| 892 | C2×Q16 | — | 142 | 1 | no | — |
| 893 | C2×Q16 | C22×D71 | 1 | 2 | yes | — |
| 894 | C2×SD16 | — | 2 | 1 | no | — |
| 895 | C2×SD16 | — | 71 | 2 | no | — |
| 896 | C2×SD16 | — | 71 | 2 | no | — |
| 897 | C2×SD16 | — | 71 | 2 | no | — |
| 898 | C2×SD16 | — | 142 | 4 | no | — |
| 899 | C2×SD16 | — | 142 | 1 | no | — |
| 900 | C2×SD16 | — | 142 | 1 | no | — |
| 901 | C2×SD16 | — | 142 | 4 | no | — |
| 902 | C2×SD16 | — | 142 | 4 | no | — |
| 903 | C2×SD16 | — | 142 | 4 | no | — |
| 904 | C2×SD16 | — | 142 | 1 | no | — |
| 905 | C2×SD16 | C22×D71 | 1 | 2 | yes | — |
| 906 | #131 | — | 2 | 2 | no | — |
| 907 | #131 | — | 71 | 4 | no | — |
| 908 | #131 | — | 71 | 4 | no | — |
| 909 | #131 | — | 71 | 4 | no | — |
| 910 | #131 | — | 142 | 2 | no | — |
| 911 | #131 | — | 142 | 2 | no | — |
| 912 | #131 | — | 142 | 2 | no | — |
| 913 | #131 | C22×D71 | 1 | 4 | yes | — |
| 914 | C2×M16 | — | 2 | 2 | no | — |
| 915 | C2×M16 | — | 71 | 1 | no | — |
| 916 | C2×M16 | — | 71 | 1 | no | — |
| 917 | C2×M16 | — | 142 | 2 | no | — |
| 918 | C2×M16 | — | 142 | 2 | no | — |
| 919 | C2×M16 | — | 142 | 2 | no | — |
| 920 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 921 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 922 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 923 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 924 | C4⋊Q8 | — | 284 | 1 | no | — |
| 925 | C4⋊Q8 | — | 71 | 2 | no | — |
| 926 | C4⋊Q8 | — | 71 | 2 | no | — |
| 927 | C4⋊Q8 | — | 71 | 1 | no | — |
| 928 | #127 | — | 71 | 1 | no | — |
| 929 | #124 | — | 71 | 1 | no | — |
| 930 | #124 | — | 71 | 1 | no | — |
| 931 | #121 | — | 284 | 1 | no | — |
| 932 | C4×D4 | — | 284 | 1 | no | — |
| 933 | C2×C4⋊C4 | — | 284 | 1 | no | — |
| 934 | C2×C42 | — | 71 | 1 | no | — |
| 935 | #108 | — | 71 | 4 | no | — |
| 936 | #108 | C22×D71 | 1 | 4 | yes | — |
| 937 | #104 | — | 71 | 2 | no | — |
| 938 | #104 | — | 71 | 2 | no | — |
| 939 | #104 | — | 71 | 2 | no | — |
| 940 | #104 | — | 71 | 2 | no | — |
| 941 | #104 | — | 71 | 2 | no | — |
| 942 | #104 | — | 71 | 2 | no | — |
| 943 | #104 | — | 71 | 2 | no | — |
| 944 | #104 | — | 71 | 2 | no | — |
| 945 | #101 | — | 71 | 4 | no | — |
| 946 | #101 | — | 71 | 2 | no | — |
| 947 | #101 | C22×D71 | 1 | 4 | yes | — |
| 948 | #101 | C22×D71 | 1 | 2 | yes | — |
| 949 | #100 | — | 71 | 2 | no | — |
| 950 | #100 | C22×D71 | 1 | 2 | yes | — |
| 951 | #97 | — | 71 | 2 | no | — |
| 952 | C4×C8 | — | 71 | 2 | no | — |
| 953 | #41 | — | 2 | 1 | no | — |
| 954 | #41 | — | 2 | 1 | no | — |
| 955 | #41 | — | 2 | 1 | no | — |
| 956 | #41 | — | 2 | 1 | no | — |
| 957 | #41 | — | 2 | 1 | no | — |
| 958 | #41 | — | 2 | 1 | no | — |
| 959 | #41 | — | 284 | 2 | no | — |
| 960 | #41 | — | 284 | 2 | no | — |
| 961 | #41 | — | 284 | 2 | no | — |
| 962 | #41 | — | 284 | 4 | no | — |
| 963 | #41 | — | 284 | 2 | no | — |
| 964 | #41 | — | 284 | 1 | no | — |
| 965 | #41 | — | 284 | 1 | no | — |
| 966 | #41 | — | 284 | 4 | no | — |
| 967 | #41 | — | 284 | 2 | no | — |
| 968 | #41 | — | 284 | 1 | no | — |
| 969 | #41 | — | 284 | 4 | no | — |
| 970 | #41 | — | 284 | 1 | no | — |
| 971 | #41 | — | 284 | 2 | no | — |
| 972 | #41 | — | 284 | 2 | no | — |
| 973 | #41 | — | 284 | 2 | no | — |
| 974 | #41 | — | 284 | 4 | no | — |
| 975 | #41 | — | 284 | 2 | no | — |
| 976 | #41 | — | 284 | 2 | no | — |
| 977 | #41 | — | 284 | 2 | no | — |
| 978 | #41 | — | 284 | 2 | no | — |
| 979 | #41 | — | 71 | 2 | no | — |
| 980 | #41 | — | 71 | 2 | no | — |
| 981 | #41 | — | 71 | 2 | no | — |
| 982 | #41 | — | 71 | 2 | no | — |
| 983 | #41 | — | 71 | 2 | no | — |
| 984 | #41 | — | 71 | 2 | no | — |
| 985 | #41 | — | 142 | 4 | no | — |
| 986 | #41 | — | 142 | 2 | no | — |
| 987 | #41 | — | 142 | 2 | no | — |
| 988 | #41 | — | 142 | 2 | no | — |
| 989 | #41 | — | 142 | 2 | no | — |
| 990 | #41 | — | 142 | 4 | no | — |
| 991 | #41 | — | 142 | 4 | no | — |
| 992 | #41 | — | 142 | 2 | no | — |
| 993 | #41 | — | 142 | 2 | no | — |
| 994 | #41 | — | 142 | 2 | no | — |
| 995 | #41 | — | 142 | 4 | no | — |
| 996 | #41 | — | 142 | 2 | no | — |
| 997 | #41 | — | 142 | 1 | no | — |
| 998 | #41 | — | 142 | 1 | no | — |
| 999 | #41 | — | 142 | 1 | no | — |
| 1000 | #41 | — | 142 | 1 | no | — |
| 1001 | #41 | — | 142 | 1 | no | — |
| 1002 | #41 | — | 142 | 1 | no | — |
| 1003 | #41 | — | 142 | 1 | no | — |
| 1004 | #41 | — | 142 | 1 | no | — |
| 1005 | #41 | — | 142 | 1 | no | — |
| 1006 | #41 | — | 142 | 1 | no | — |
| 1007 | #41 | D4×D71 | 1 | 2 | yes | — |
| 1008 | #41 | C23×D71 | 1 | 2 | yes | — |
| 1009 | C2×Q8 | — | 2 | 1 | no | — |
| 1010 | C2×Q8 | — | 2 | 1 | no | — |
| 1011 | C2×Q8 | — | 2 | 1 | no | — |
| 1012 | C2×Q8 | — | 2 | 1 | no | — |
| 1013 | C2×Q8 | — | 2 | 1 | no | — |
| 1014 | C2×Q8 | — | 284 | 2 | no | — |
| 1015 | C2×Q8 | — | 284 | 1 | no | — |
| 1016 | C2×Q8 | — | 284 | 1 | no | — |
| 1017 | C2×Q8 | — | 284 | 1 | no | — |
| 1018 | C2×Q8 | — | 284 | 1 | no | — |
| 1019 | C2×Q8 | — | 284 | 2 | no | — |
| 1020 | C2×Q8 | — | 284 | 2 | no | — |
| 1021 | C2×Q8 | — | 284 | 2 | no | — |
| 1022 | C2×Q8 | — | 71 | 1 | no | — |
| 1023 | C2×Q8 | — | 71 | 1 | no | — |
| 1024 | C2×Q8 | — | 71 | 1 | no | — |
| 1025 | C2×Q8 | — | 71 | 1 | no | — |
| 1026 | C2×Q8 | — | 71 | 2 | no | — |
| 1027 | C2×Q8 | — | 142 | 4 | no | — |
| 1028 | C2×Q8 | — | 142 | 2 | no | — |
| 1029 | C2×Q8 | — | 142 | 4 | no | — |
| 1030 | C2×Q8 | — | 142 | 4 | no | — |
| 1031 | C2×Q8 | — | 142 | 2 | no | — |
| 1032 | C2×Q8 | — | 142 | 2 | no | — |
| 1033 | C2×Q8 | — | 142 | 4 | no | — |
| 1034 | C2×Q8 | — | 142 | 2 | no | — |
| 1035 | C2×Q8 | — | 142 | 1 | no | — |
| 1036 | C2×Q8 | — | 142 | 1 | no | — |
| 1037 | C2×Q8 | — | 142 | 1 | no | — |
| 1038 | C2×Q8 | — | 142 | 1 | no | — |
| 1039 | C2×Q8 | — | 142 | 1 | no | — |
| 1040 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 1041 | C2×Q8 | C23×D71 | 1 | 1 | yes | characteristic |
| 1042 | C2×Q8 | C23×D71 | 1 | 2 | yes | — |
| 1043 | C2×D4 | — | 2 | 1 | no | — |
| 1044 | C2×D4 | — | 2 | 1 | no | — |
| 1045 | C2×D4 | — | 284 | 1 | no | — |
| 1046 | C2×D4 | — | 284 | 1 | no | — |
| 1047 | C2×D4 | — | 284 | 2 | no | — |
| 1048 | C2×D4 | — | 284 | 1 | no | — |
| 1049 | C2×D4 | — | 284 | 2 | no | — |
| 1050 | C2×D4 | — | 284 | 2 | no | — |
| 1051 | C2×D4 | — | 284 | 2 | no | — |
| 1052 | C2×D4 | — | 284 | 1 | no | — |
| 1053 | C2×D4 | — | 284 | 2 | no | — |
| 1054 | C2×D4 | — | 284 | 2 | no | — |
| 1055 | C2×D4 | — | 284 | 1 | no | — |
| 1056 | C2×D4 | — | 71 | 1 | no | — |
| 1057 | C2×D4 | — | 71 | 1 | no | — |
| 1058 | C2×D4 | — | 71 | 1 | no | — |
| 1059 | C2×D4 | — | 71 | 1 | no | — |
| 1060 | C2×D4 | — | 142 | 2 | no | — |
| 1061 | C2×D4 | — | 142 | 2 | no | — |
| 1062 | C2×D4 | — | 142 | 2 | no | — |
| 1063 | C2×D4 | — | 142 | 1 | no | — |
| 1064 | C2×D4 | — | 142 | 2 | no | — |
| 1065 | C2×D4 | — | 142 | 1 | no | — |
| 1066 | C2×D4 | — | 142 | 1 | no | — |
| 1067 | C2×D4 | — | 142 | 1 | no | — |
| 1068 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 1069 | C2×D4 | C23×D71 | 1 | 1 | yes | characteristic |
| 1070 | C22×C4 | — | 2 | 1 | no | — |
| 1071 | C22×C4 | — | 2 | 1 | no | — |
| 1072 | C22×C4 | — | 2 | 1 | no | — |
| 1073 | C22×C4 | — | 284 | 1 | no | — |
| 1074 | C22×C4 | — | 284 | 2 | no | — |
| 1075 | C22×C4 | — | 284 | 1 | no | — |
| 1076 | C22×C4 | — | 284 | 1 | no | — |
| 1077 | C22×C4 | — | 284 | 2 | no | — |
| 1078 | C22×C4 | — | 284 | 1 | no | — |
| 1079 | C22×C4 | — | 142 | 1 | no | — |
| 1080 | C22×C4 | — | 142 | 1 | no | — |
| 1081 | C22×C4 | — | 142 | 1 | no | — |
| 1082 | C22×C4 | — | 142 | 1 | no | — |
| 1083 | C22×C4 | — | 142 | 1 | no | — |
| 1084 | C22×C4 | — | 142 | 1 | no | — |
| 1085 | C22×C4 | C23×D71 | 1 | 1 | yes | characteristic |
| 1086 | Q16 | — | 2 | 4 | no | — |
| 1087 | Q16 | — | 2 | 2 | no | — |
| 1088 | Q16 | — | 2 | 4 | no | — |
| 1089 | Q16 | — | 71 | 4 | no | — |
| 1090 | Q16 | — | 71 | 4 | no | — |
| 1091 | Q16 | — | 142 | 4 | no | — |
| 1092 | Q16 | — | 142 | 2 | no | — |
| 1093 | Q16 | — | 142 | 4 | no | — |
| 1094 | Q16 | — | 142 | 2 | no | — |
| 1095 | Q16 | — | 142 | 4 | no | — |
| 1096 | Q16 | — | 142 | 4 | no | — |
| 1097 | Q16 | — | 142 | 4 | no | — |
| 1098 | Q16 | — | 142 | 2 | no | — |
| 1099 | Q16 | — | 142 | 4 | no | — |
| 1100 | SD16 | — | 2 | 2 | no | — |
| 1101 | SD16 | — | 2 | 4 | no | — |
| 1102 | SD16 | — | 2 | 2 | no | — |
| 1103 | SD16 | — | 2 | 4 | no | — |
| 1104 | SD16 | — | 71 | 4 | no | — |
| 1105 | SD16 | — | 71 | 4 | no | — |
| 1106 | SD16 | — | 71 | 4 | no | — |
| 1107 | SD16 | — | 71 | 4 | no | — |
| 1108 | SD16 | — | 142 | 4 | no | — |
| 1109 | SD16 | — | 142 | 4 | no | — |
| 1110 | SD16 | — | 142 | 2 | no | — |
| 1111 | SD16 | — | 142 | 2 | no | — |
| 1112 | SD16 | — | 142 | 2 | no | — |
| 1113 | SD16 | — | 142 | 2 | no | — |
| 1114 | SD16 | — | 142 | 4 | no | — |
| 1115 | SD16 | — | 142 | 4 | no | — |
| 1116 | SD16 | — | 142 | 2 | no | — |
| 1117 | SD16 | — | 142 | 4 | no | — |
| 1118 | SD16 | — | 142 | 2 | no | — |
| 1119 | SD16 | — | 142 | 4 | no | — |
| 1120 | D8 | — | 2 | 2 | no | — |
| 1121 | D8 | — | 71 | 4 | no | — |
| 1122 | D8 | — | 71 | 4 | no | — |
| 1123 | D8 | — | 142 | 2 | no | — |
| 1124 | D8 | — | 142 | 2 | no | — |
| 1125 | D8 | — | 142 | 2 | no | — |
| 1126 | M16 | — | 2 | 1 | no | — |
| 1127 | M16 | — | 2 | 1 | no | — |
| 1128 | M16 | — | 2 | 1 | no | — |
| 1129 | M16 | — | 2 | 4 | no | — |
| 1130 | M16 | — | 71 | 2 | no | — |
| 1131 | M16 | — | 71 | 2 | no | — |
| 1132 | M16 | — | 71 | 2 | no | — |
| 1133 | M16 | — | 142 | 4 | no | — |
| 1134 | M16 | — | 142 | 4 | no | — |
| 1135 | M16 | — | 142 | 1 | no | — |
| 1136 | M16 | — | 142 | 4 | no | — |
| 1137 | M16 | D4×D71 | 1 | 2 | yes | — |
| 1138 | M16 | D4×D71 | 1 | 2 | yes | — |
| 1139 | M16 | C23×D71 | 1 | 2 | yes | — |
| 1140 | M16 | C23×D71 | 1 | 2 | yes | — |
| 1141 | M16 | C23×D71 | 1 | 2 | yes | — |
| 1142 | C2×C8 | — | 2 | 1 | no | — |
| 1143 | C2×C8 | — | 2 | 1 | no | — |
| 1144 | C2×C8 | — | 2 | 1 | no | — |
| 1145 | C2×C8 | — | 2 | 4 | no | — |
| 1146 | C2×C8 | — | 71 | 2 | no | — |
| 1147 | C2×C8 | — | 142 | 4 | no | — |
| 1148 | C2×C8 | — | 142 | 4 | no | — |
| 1149 | C2×C8 | — | 142 | 1 | no | — |
| 1150 | C2×C8 | — | 142 | 4 | no | — |
| 1151 | C2×C8 | C23×D71 | 1 | 2 | yes | — |
| 1152 | C4⋊C4 | — | 284 | 2 | no | — |
| 1153 | C4⋊C4 | — | 284 | 2 | no | — |
| 1154 | C4⋊C4 | — | 284 | 1 | no | — |
| 1155 | C22⋊C4 | — | 284 | 1 | no | — |
| 1156 | C22⋊C4 | — | 284 | 1 | no | — |
| 1157 | C42 | — | 71 | 1 | no | — |
| 1158 | C42 | — | 71 | 1 | no | — |
| 1159 | C42 | — | 142 | 1 | no | — |
| 1160 | C23 | — | 2 | 1 | no | — |
| 1161 | C23 | — | 2 | 1 | no | — |
| 1162 | C23 | — | 284 | 2 | no | — |
| 1163 | C23 | — | 284 | 2 | no | — |
| 1164 | C23 | — | 142 | 1 | no | — |
| 1165 | C23 | — | 142 | 1 | no | — |
| 1166 | C23 | — | 142 | 1 | no | — |
| 1167 | C23 | — | 142 | 1 | no | — |
| 1168 | C23 | #14556174 | 1 | 1 | yes | characteristic |
| 1169 | Q8 | — | 2 | 1 | no | — |
| 1170 | Q8 | — | 2 | 2 | no | — |
| 1171 | Q8 | — | 2 | 2 | no | — |
| 1172 | Q8 | — | 2 | 1 | no | — |
| 1173 | Q8 | — | 2 | 1 | no | — |
| 1174 | Q8 | — | 4 | 1 | no | — |
| 1175 | Q8 | — | 4 | 1 | no | — |
| 1176 | Q8 | — | 284 | 4 | no | — |
| 1177 | Q8 | — | 284 | 2 | no | — |
| 1178 | Q8 | — | 284 | 4 | no | — |
| 1179 | Q8 | — | 284 | 2 | no | — |
| 1180 | Q8 | — | 284 | 1 | no | — |
| 1181 | Q8 | — | 284 | 1 | no | — |
| 1182 | Q8 | — | 71 | 2 | no | — |
| 1183 | Q8 | — | 71 | 2 | no | — |
| 1184 | Q8 | — | 71 | 2 | no | — |
| 1185 | Q8 | — | 142 | 2 | no | — |
| 1186 | Q8 | — | 142 | 2 | no | — |
| 1187 | Q8 | — | 142 | 1 | no | — |
| 1188 | Q8 | — | 142 | 1 | no | — |
| 1189 | Q8 | — | 142 | 1 | no | — |
| 1190 | Q8 | — | 142 | 1 | no | — |
| 1191 | Q8 | — | 142 | 1 | no | — |
| 1192 | Q8 | C2×D4×D71 | 1 | 2 | yes | — |
| 1193 | D4 | — | 2 | 2 | no | — |
| 1194 | D4 | — | 2 | 2 | no | — |
| 1195 | D4 | — | 2 | 1 | no | — |
| 1196 | D4 | — | 2 | 1 | no | — |
| 1197 | D4 | — | 2 | 1 | no | — |
| 1198 | D4 | — | 4 | 1 | no | — |
| 1199 | D4 | — | 4 | 1 | no | — |
| 1200 | D4 | — | 284 | 2 | no | — |
| 1201 | D4 | — | 284 | 2 | no | — |
| 1202 | D4 | — | 284 | 4 | no | — |
| 1203 | D4 | — | 284 | 2 | no | — |
| 1204 | D4 | — | 284 | 4 | no | — |
| 1205 | D4 | — | 284 | 1 | no | — |
| 1206 | D4 | — | 284 | 1 | no | — |
| 1207 | D4 | — | 284 | 2 | no | — |
| 1208 | D4 | — | 284 | 2 | no | — |
| 1209 | D4 | — | 284 | 2 | no | — |
| 1210 | D4 | — | 568 | 2 | no | — |
| 1211 | D4 | — | 71 | 2 | no | — |
| 1212 | D4 | — | 71 | 2 | no | — |
| 1213 | D4 | — | 71 | 2 | no | — |
| 1214 | D4 | — | 142 | 2 | no | — |
| 1215 | D4 | — | 142 | 2 | no | — |
| 1216 | D4 | — | 142 | 2 | no | — |
| 1217 | D4 | — | 142 | 2 | no | — |
| 1218 | D4 | — | 142 | 2 | no | — |
| 1219 | D4 | — | 142 | 2 | no | — |
| 1220 | D4 | — | 142 | 1 | no | — |
| 1221 | D4 | — | 142 | 1 | no | — |
| 1222 | D4 | — | 142 | 1 | no | — |
| 1223 | D4 | — | 142 | 1 | no | — |
| 1224 | D4 | — | 142 | 1 | no | — |
| 1225 | D4 | C2×D4×D71 | 1 | 2 | yes | — |
| 1226 | C2×C4 | — | 2 | 1 | no | — |
| 1227 | C2×C4 | — | 2 | 2 | no | — |
| 1228 | C2×C4 | — | 2 | 2 | no | — |
| 1229 | C2×C4 | — | 2 | 1 | no | — |
| 1230 | C2×C4 | — | 2 | 2 | no | — |
| 1231 | C2×C4 | — | 4 | 1 | no | — |
| 1232 | C2×C4 | — | 4 | 1 | no | — |
| 1233 | C2×C4 | — | 4 | 1 | no | — |
| 1234 | C2×C4 | — | 4 | 1 | no | — |
| 1235 | C2×C4 | — | 284 | 2 | no | — |
| 1236 | C2×C4 | — | 284 | 4 | no | — |
| 1237 | C2×C4 | — | 284 | 2 | no | — |
| 1238 | C2×C4 | — | 284 | 2 | no | — |
| 1239 | C2×C4 | — | 284 | 2 | no | — |
| 1240 | C2×C4 | — | 284 | 4 | no | — |
| 1241 | C2×C4 | — | 284 | 4 | no | — |
| 1242 | C2×C4 | — | 284 | 1 | no | — |
| 1243 | C2×C4 | — | 284 | 1 | no | — |
| 1244 | C2×C4 | — | 284 | 2 | no | — |
| 1245 | C2×C4 | — | 284 | 4 | no | — |
| 1246 | C2×C4 | — | 284 | 2 | no | — |
| 1247 | C2×C4 | — | 284 | 1 | no | — |
| 1248 | C2×C4 | — | 284 | 1 | no | — |
| 1249 | C2×C4 | — | 284 | 2 | no | — |
| 1250 | C2×C4 | — | 142 | 1 | no | — |
| 1251 | C2×C4 | — | 142 | 1 | no | — |
| 1252 | C2×C4 | — | 142 | 2 | no | — |
| 1253 | C2×C4 | — | 142 | 1 | no | — |
| 1254 | C2×C4 | — | 142 | 1 | no | — |
| 1255 | C2×C4 | — | 142 | 1 | no | — |
| 1256 | C2×C4 | — | 142 | 1 | no | — |
| 1257 | C2×C4 | — | 142 | 2 | no | — |
| 1258 | C2×C4 | — | 142 | 2 | no | — |
| 1259 | C2×C4 | — | 142 | 2 | no | — |
| 1260 | C2×C4 | — | 142 | 2 | no | — |
| 1261 | C2×C4 | — | 142 | 2 | no | — |
| 1262 | C2×C4 | — | 142 | 2 | no | — |
| 1263 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 1264 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 1265 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 1266 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 1267 | C2×C4 | #14556174 | 1 | 1 | yes | characteristic |
| 1268 | C2×C4 | C24×D71 | 1 | 1 | yes | characteristic |
| 1269 | C8 | — | 2 | 2 | no | — |
| 1270 | C8 | — | 2 | 2 | no | — |
| 1271 | C8 | — | 2 | 2 | no | — |
| 1272 | C8 | — | 71 | 4 | no | — |
| 1273 | C8 | — | 142 | 2 | no | — |
| 1274 | C8 | C2×D4×D71 | 1 | 4 | yes | — |
| 1275 | C22 | — | 2 | 2 | no | — |
| 1276 | C22 | — | 4 | 1 | no | — |
| 1277 | C22 | — | 4 | 1 | no | — |
| 1278 | C22 | — | 8 | 1 | no | — |
| 1279 | C22 | — | 8 | 1 | no | — |
| 1280 | C22 | — | 284 | 1 | no | — |
| 1281 | C22 | — | 568 | 1 | no | — |
| 1282 | C22 | — | 568 | 1 | no | — |
| 1283 | C22 | — | 568 | 1 | no | — |
| 1284 | C22 | — | 568 | 1 | no | — |
| 1285 | C22 | — | 1136 | 2 | no | — |
| 1286 | C22 | — | 1136 | 2 | no | — |
| 1287 | C22 | — | 142 | 2 | no | — |
| 1288 | C22 | — | 142 | 2 | no | — |
| 1289 | C22 | — | 142 | 2 | no | — |
| 1290 | C22 | #17986633 | 1 | 1 | yes | characteristic |
| 1291 | C22 | #17986633 | 1 | 1 | yes | characteristic |
| 1292 | C22 | C2×#14556174 | 1 | 1 | yes | characteristic |
| 1293 | C4 | — | 2 | 2 | no | — |
| 1294 | C4 | — | 4 | 1 | no | — |
| 1295 | C4 | — | 4 | 2 | no | — |
| 1296 | C4 | — | 284 | 1 | no | — |
| 1297 | C4 | — | 284 | 1 | no | — |
| 1298 | C4 | — | 284 | 2 | no | — |
| 1299 | C4 | — | 142 | 2 | no | — |
| 1300 | C4 | — | 142 | 2 | no | — |
| 1301 | C4 | — | 142 | 2 | no | — |
| 1302 | C4 | — | 142 | 2 | no | — |
| 1303 | C4 | #17986633 | 1 | 1 | yes | characteristic |
| 1304 | C4 | #17986633 | 1 | 1 | yes | characteristic |
| 1305 | C4 | C22×D4×D71 | 1 | 1 | yes | characteristic |
| 1306 | C4 | C22×D4×D71 | 1 | 1 | yes | characteristic |
| 1307 | C2 | — | 2 | 1 | no | — |
| 1308 | C2 | — | 2 | 1 | no | — |
| 1309 | C2 | — | 2 | 1 | no | — |
| 1310 | C2 | — | 4 | 2 | no | — |
| 1311 | C2 | — | 8 | 1 | no | — |
| 1312 | C2 | — | 284 | 2 | no | — |
| 1313 | C2 | — | 284 | 2 | no | — |
| 1314 | C2 | — | 284 | 2 | no | — |
| 1315 | C2 | — | 568 | 1 | no | — |
| 1316 | C2 | C2×#17986633 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #22603128 | C2 | semidirect |
| 2. #22603124 | C2 | semidirect |
| 3. #22603123 | C2 | semidirect |
| 4. #22603123 | C2 | semidirect |
| 5. #22600143 | C2 | semidirect |
| 6. #22600132 | C2 | semidirect |
| 7. #22600114 | C2 | semidirect |
| 8. #22600112 | C2 | semidirect |
| 9. #22598795 | C2 | semidirect |
| 10. #22598080 | C2 | semidirect |
| 11. #22598078 | C2 | semidirect |
| 12. #22598076 | C2 | semidirect |
| 13. #22597693 | C2 | semidirect |
| 14. #22597686 | C2 | semidirect |
| 15. C2×#17986184 | C2 | semidirect |
| 16. C2×#17986180 | C2 | semidirect |
| 17. #22597249 | C2 | semidirect |
| 18. #22597247 | C2 | semidirect |
| 19. C71×#3069 | C2 | semidirect |
| 20. #17986835 | C22 | semidirect |
| 21. #17986835 | C22 | semidirect |
| 25. #17986816 | C22 | semidirect |
| 27. #17986815 | C22 | semidirect |
| 28. #17986815 | C22 | semidirect |
| 31. #17986812 | C22 | semidirect |
| 33. #17986811 | C22 | semidirect |
| 34. #17986809 | C22 | semidirect |
| 36. #17986808 | C22 | semidirect |
| 39. #17986805 | C22 | semidirect |
| 50. C2×#14556161 | C22 | semidirect |
| 51. C2×#14556161 | C22 | semidirect |
| 52. C2×#14556161 | C22 | semidirect |
| 53. C2×#14556159 | C22 | semidirect |
| 54. C2×#14556159 | C22 | semidirect |
| 55. C2×#14556158 | C22 | semidirect |
| 59. #17986765 | C22 | semidirect |
| 60. #17986765 | C22 | semidirect |
| 61. #17986765 | C22 | semidirect |
| 63. C2×#14556126 | C22 | semidirect |
| 64. #17986392 | C22 | semidirect |
| 65. #17986390 | C22 | semidirect |
| 66. #17986377 | C22 | semidirect |
| 67. #17986370 | C22 | semidirect |
| 68. #17986275 | C22 | semidirect |
| 69. #17986273 | C22 | semidirect |
| 70. #17986273 | C22 | semidirect |
| 71. #17986265 | C22 | semidirect |
| 72. #17986263 | C22 | semidirect |
| 73. #17986261 | C22 | semidirect |
| 74. #17986184 | C22 | semidirect |
| 75. #17986184 | C22 | semidirect |
| 76. #17986184 | C22 | semidirect |
| 77. #17986180 | C22 | semidirect |
| 78. #17986180 | C22 | semidirect |
| 79. #17986180 | C22 | semidirect |
| 80. #17986179 | C22 | semidirect |
| 81. #17986175 | C22 | semidirect |
| 82. #17986174 | C22 | semidirect |
| 83. #17986170 | C22 | semidirect |
| 84. #17986169 | C22 | semidirect |
| 85. #17986165 | C22 | semidirect |
| 86. #17986120 | C22 | semidirect |
| 87. #17986119 | C22 | semidirect |
| 88. #17986115 | C22 | semidirect |
| 89. #17986114 | C22 | semidirect |
| 90. #17986047 | C22 | semidirect |
| 91. C2×#14556055 | C22 | semidirect |
| 92. C2×#14556054 | C22 | semidirect |
| 93. C2×#14556054 | C22 | semidirect |
| 94. C2×#14556054 | C22 | semidirect |
| 95. #17985981 | C22 | semidirect |
| 96. C2×#14556046 | C22 | semidirect |
| 97. M16×Dic71 | C22 | semidirect |
| 99. C2×#137×C71 | C22 | semidirect |
| 100. C2×#137×C71 | C22 | semidirect |
| 101. #568×C71 | C22 | semidirect |
| 102. #473×C71 | C22 | semidirect |
| 103. #471×C71 | C22 | semidirect |
| 104. #430×C71 | C22 | semidirect |
| 105. #413×C71 | C22 | semidirect |
| 106. C2×#101×C71 | C22 | semidirect |
| 159. #14556161 | D4 | semidirect |
| 160. #14556161 | D4 | semidirect |
| 173. #14556159 | D4 | semidirect |
| 179. #14556158 | D4 | semidirect |
| 187. #14556156 | D4 | semidirect |
| 188. #14556156 | D4 | semidirect |
| 193. #14556154 | D4 | semidirect |
| 196. #14556153 | D4 | semidirect |
| 671. #3069 | D71 | semidirect |
| 678. C71 | #61111 | semidirect |
| 719. C2×#137 | C2×D71 | semidirect |
| 720. C2×#137 | C2×D71 | semidirect |
| 724. #568 | C2×D71 | semidirect |
| 734. #473 | C2×D71 | semidirect |
| 738. #471 | C2×D71 | semidirect |
| 756. #430 | C2×D71 | semidirect |
| 762. #413 | C2×D71 | semidirect |
| 764. C2×#101 | C2×D71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.