Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
1686 conjugacy classes of subgroups.
The subgroup lattice has 1058 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #22603124 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22602128 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22597741 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22597697 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #22597686 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #22589401 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22589397 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22589371 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22589367 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22588884 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #22588843 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #22588839 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #22588720 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #22588314 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C71×#3019 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #17986835 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | C2×#14556175 | C22 | 1 | 1 | yes | characteristic |
| 18 | #17986815 | — | 2 | 2 | no | — |
| 19 | #17986813 | — | 2 | 2 | no | — |
| 20 | #17986809 | — | 2 | 2 | no | — |
| 21 | #17986806 | — | 2 | 2 | no | — |
| 22 | #17986797 | C22 | 1 | 1 | yes | characteristic |
| 23 | #17986797 | C22 | 1 | 1 | yes | characteristic |
| 24 | #17986795 | — | 2 | 2 | no | — |
| 25 | C2×#14556161 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | C2×#14556158 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #137×D71 | — | 2 | 2 | no | — |
| 28 | #17986765 | C22 | 1 | 1 | yes | characteristic, complemented |
| 29 | #17986656 | — | 2 | 2 | no | — |
| 30 | #17986643 | — | 2 | 4 | no | — |
| 31 | #17986643 | — | 2 | 2 | no | — |
| 32 | #17986570 | — | 2 | 1 | no | — |
| 33 | #17986570 | C22 | 1 | 1 | yes | characteristic, complemented |
| 34 | #17986566 | — | 2 | 1 | no | — |
| 35 | #17986566 | C22 | 1 | 1 | yes | characteristic |
| 36 | #17986566 | C22 | 1 | 1 | yes | characteristic |
| 37 | #17986545 | — | 2 | 1 | no | — |
| 38 | #17986545 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#14556115 | — | 2 | 1 | no | — |
| 40 | C2×#14556115 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #41×Dic71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | #17986185 | — | 2 | 4 | no | — |
| 43 | #17986180 | — | 2 | 1 | no | — |
| 44 | #17986177 | — | 2 | 2 | no | — |
| 45 | #17986175 | — | 2 | 1 | no | — |
| 46 | #17986170 | — | 2 | 1 | no | — |
| 47 | #17986167 | — | 2 | 2 | no | — |
| 48 | #17986165 | — | 2 | 1 | no | — |
| 49 | #17986016 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #17986016 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#14556055 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | C2×#14556054 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | #17986009 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #17986007 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #17985981 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | C2×#14556045 | C22 | 1 | 1 | yes | characteristic, complemented |
| 57 | #17985973 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #17985972 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | #17985972 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #17985771 | C22 | 1 | 1 | yes | characteristic, complemented |
| 61 | #17985770 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #17985760 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #17985758 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | C2×H(5,𝔽2)×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | #575×C71 | C22 | 1 | 1 | yes | characteristic |
| 66 | #575×C71 | C22 | 1 | 1 | yes | characteristic |
| 67 | #535×C71 | C22 | 1 | 1 | yes | characteristic |
| 68 | #455×C71 | — | 2 | 2 | no | — |
| 69 | #453×C71 | — | 2 | 2 | no | — |
| 70 | #421×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #421×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | C2×#100×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | #14556176 | — | 2 | 1 | no | — |
| 74 | #14556175 | — | 2 | 1 | no | — |
| 75 | #14556175 | — | 2 | 1 | no | — |
| 76 | #14556175 | — | 2 | 2 | no | — |
| 77 | #14556175 | — | 2 | 2 | no | — |
| 78 | #14556175 | — | 4 | 1 | no | — |
| 79 | #14556175 | — | 4 | 1 | no | — |
| 80 | #14556174 | — | 2 | 1 | no | — |
| 81 | #14556174 | — | 2 | 1 | no | — |
| 82 | #14556173 | — | 2 | 2 | no | — |
| 83 | #14556173 | — | 2 | 1 | no | — |
| 84 | C2×#11765865 | — | 2 | 1 | no | — |
| 85 | C2×#11765865 | — | 4 | 1 | no | — |
| 86 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#11765865 | C23 | 1 | 1 | yes | characteristic |
| 88 | C2×#11765864 | — | 2 | 2 | no | — |
| 89 | C2×#11765864 | D4 | 1 | 2 | yes | complemented |
| 90 | #41×D71 | — | 2 | 2 | no | — |
| 91 | #41×D71 | — | 4 | 1 | no | — |
| 92 | C22×Dic142 | — | 2 | 1 | no | — |
| 93 | C22×Dic142 | C23 | 1 | 1 | yes | characteristic |
| 94 | C2×Q8×D71 | D4 | 1 | 2 | yes | complemented |
| 95 | #14556161 | — | 2 | 2 | no | — |
| 96 | #14556161 | — | 2 | 2 | no | — |
| 97 | #14556160 | — | 2 | 4 | no | — |
| 98 | #14556159 | — | 2 | 1 | no | — |
| 99 | #14556159 | — | 2 | 1 | no | — |
| 100 | #14556158 | — | 2 | 2 | no | — |
| 101 | #14556158 | — | 2 | 1 | no | — |
| 102 | #14556158 | — | 2 | 2 | no | — |
| 103 | #14556158 | D4 | 1 | 2 | yes | complemented |
| 104 | #14556157 | — | 2 | 4 | no | — |
| 105 | #14556157 | — | 2 | 4 | no | — |
| 106 | #14556154 | — | 2 | 1 | no | — |
| 107 | #14556154 | — | 2 | 1 | no | — |
| 108 | #14556153 | — | 2 | 1 | no | — |
| 109 | #14556153 | D4 | 1 | 2 | yes | complemented |
| 110 | #14556152 | — | 2 | 4 | no | — |
| 111 | #14556149 | — | 2 | 4 | no | — |
| 112 | #14556148 | — | 2 | 2 | no | — |
| 113 | #14556148 | — | 4 | 1 | no | — |
| 114 | #14556147 | — | 2 | 4 | no | — |
| 115 | C2×Dic284 | — | 2 | 1 | no | — |
| 116 | C2×#11765855 | — | 2 | 1 | no | — |
| 117 | Q16×D71 | — | 2 | 4 | no | — |
| 118 | C2×#11765854 | — | 2 | 1 | no | — |
| 119 | C2×#11765853 | — | 2 | 1 | no | — |
| 120 | SD16×D71 | — | 2 | 4 | no | — |
| 121 | #14556136 | — | 2 | 2 | no | — |
| 122 | #14556134 | — | 2 | 2 | no | — |
| 123 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 124 | C2×#11765849 | C23 | 1 | 1 | yes | characteristic |
| 125 | M16×D71 | — | 2 | 2 | no | — |
| 126 | #14556126 | — | 2 | 1 | no | — |
| 127 | #14556126 | D4 | 1 | 1 | yes | characteristic, complemented |
| 128 | #14556124 | — | 2 | 1 | no | — |
| 129 | #14556124 | — | 2 | 1 | no | — |
| 130 | #14556124 | D4 | 1 | 1 | yes | characteristic, complemented |
| 131 | #14556117 | D4 | 1 | 1 | yes | characteristic, complemented |
| 132 | #14556115 | — | 2 | 4 | no | — |
| 133 | #14556115 | — | 2 | 1 | no | — |
| 134 | #14556115 | — | 2 | 2 | no | — |
| 135 | #14556115 | — | 2 | 1 | no | — |
| 136 | #14556115 | — | 2 | 1 | no | — |
| 137 | #14556115 | — | 2 | 1 | no | — |
| 138 | #14556115 | — | 2 | 1 | no | — |
| 139 | #14556115 | D4 | 1 | 1 | yes | characteristic, complemented |
| 140 | #14556109 | — | 2 | 4 | no | — |
| 141 | #14556109 | — | 2 | 2 | no | — |
| 142 | #14556107 | — | 2 | 4 | no | — |
| 143 | #14556107 | — | 2 | 2 | no | — |
| 144 | #14556100 | — | 2 | 4 | no | — |
| 145 | #14556100 | — | 2 | 2 | no | — |
| 146 | #14556099 | — | 2 | 4 | no | — |
| 147 | #14556099 | — | 2 | 2 | no | — |
| 148 | #14556099 | — | 4 | 1 | no | — |
| 149 | #14556097 | — | 2 | 4 | no | — |
| 150 | #14556097 | — | 2 | 2 | no | — |
| 151 | #14556097 | D4 | 1 | 4 | yes | — |
| 152 | Q8×Dic71 | — | 2 | 1 | no | — |
| 153 | D4×Dic71 | — | 2 | 2 | no | — |
| 154 | D4×Dic71 | — | 2 | 1 | no | — |
| 155 | C4×C22⋊D71 | — | 2 | 4 | no | — |
| 156 | C4×C22⋊D71 | — | 2 | 2 | no | — |
| 157 | #14556087 | — | 2 | 1 | no | — |
| 158 | #14556087 | C23 | 1 | 1 | yes | characteristic |
| 159 | #14556087 | C23 | 1 | 1 | yes | characteristic |
| 160 | C2×C22⋊Dic71 | — | 2 | 4 | no | — |
| 161 | C2×C22⋊Dic71 | — | 2 | 2 | no | — |
| 162 | C2×C4×Dic71 | — | 2 | 1 | no | — |
| 163 | C2×C4×Dic71 | C23 | 1 | 1 | yes | characteristic |
| 164 | #14556055 | — | 2 | 2 | no | — |
| 165 | #14556055 | — | 2 | 1 | no | — |
| 166 | #14556055 | — | 2 | 1 | no | — |
| 167 | #14556055 | — | 2 | 2 | no | — |
| 168 | #14556054 | — | 2 | 1 | no | — |
| 169 | #14556054 | — | 2 | 1 | no | — |
| 170 | #14556053 | — | 4 | 1 | no | — |
| 171 | #14556051 | — | 4 | 1 | no | — |
| 172 | #14556046 | — | 2 | 1 | no | — |
| 173 | #14556045 | — | 2 | 2 | no | — |
| 174 | #14556044 | — | 2 | 1 | no | — |
| 175 | #14556043 | — | 2 | 2 | no | — |
| 176 | #14556042 | — | 2 | 2 | no | — |
| 177 | #14556042 | — | 2 | 2 | no | — |
| 178 | H(5,𝔽2)×C71 | — | 2 | 2 | no | — |
| 179 | H(5,𝔽2)×C71 | — | 2 | 2 | no | — |
| 180 | H(5,𝔽2)×C71 | — | 4 | 1 | no | — |
| 181 | H(5,𝔽2)×C71 | — | 4 | 1 | no | — |
| 182 | C2×#41×C71 | — | 2 | 1 | no | — |
| 183 | C2×#41×C71 | — | 2 | 1 | no | — |
| 184 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 185 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 186 | C2×#41×C71 | C23 | 1 | 1 | yes | characteristic |
| 187 | C22×D4×C71 | — | 2 | 2 | no | — |
| 188 | C22×D4×C71 | — | 2 | 1 | no | — |
| 189 | C22×D4×C71 | — | 2 | 1 | no | — |
| 190 | C22×D4×C71 | C23 | 1 | 1 | yes | characteristic |
| 191 | #137×C71 | — | 2 | 1 | no | — |
| 192 | #137×C71 | — | 2 | 1 | no | — |
| 193 | #137×C71 | — | 2 | 1 | no | — |
| 194 | #137×C71 | D4 | 1 | 2 | yes | complemented |
| 195 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 196 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 197 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 198 | AGL(1,ℤ/8)×C71 | D4 | 1 | 2 | yes | complemented |
| 199 | #135×C71 | — | 2 | 2 | no | — |
| 200 | #135×C71 | — | 4 | 1 | no | — |
| 201 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 202 | C2×M16×C71 | C23 | 1 | 1 | yes | characteristic |
| 203 | #127×C71 | — | 2 | 1 | no | — |
| 204 | #124×C71 | — | 2 | 1 | no | — |
| 205 | #121×C71 | — | 4 | 1 | no | — |
| 206 | #120×C71 | — | 2 | 2 | no | — |
| 207 | #117×C71 | C23 | 1 | 1 | yes | characteristic |
| 208 | #104×C71 | — | 2 | 2 | no | — |
| 209 | #104×C71 | — | 2 | 2 | no | — |
| 210 | #100×C71 | — | 2 | 2 | no | — |
| 211 | #11765866 | — | 2 | 2 | no | — |
| 212 | #11765866 | — | 4 | 1 | no | — |
| 213 | #11765865 | — | 2 | 1 | no | — |
| 214 | #11765865 | — | 2 | 1 | no | — |
| 215 | #11765865 | — | 2 | 1 | no | — |
| 216 | #11765865 | — | 2 | 1 | no | — |
| 217 | #11765865 | — | 2 | 1 | no | — |
| 218 | #11765865 | — | 2 | 1 | no | — |
| 219 | #11765865 | — | 2 | 1 | no | — |
| 220 | #11765865 | — | 2 | 1 | no | — |
| 221 | #11765865 | — | 4 | 1 | no | — |
| 222 | #11765865 | — | 4 | 1 | no | — |
| 223 | #11765865 | — | 4 | 2 | no | — |
| 224 | #11765865 | — | 4 | 2 | no | — |
| 225 | #11765865 | — | 4 | 2 | no | — |
| 226 | #11765865 | — | 4 | 2 | no | — |
| 227 | #11765864 | — | 2 | 2 | no | — |
| 228 | #11765864 | — | 2 | 4 | no | — |
| 229 | #11765864 | — | 4 | 2 | no | — |
| 230 | #11765864 | — | 4 | 1 | no | — |
| 231 | #11765864 | — | 4 | 2 | no | — |
| 232 | #11765864 | — | 4 | 4 | no | — |
| 233 | #11765864 | — | 4 | 4 | no | — |
| 234 | #11765864 | — | 4 | 2 | no | — |
| 235 | C2×Dic142 | — | 2 | 1 | no | — |
| 236 | C2×Dic142 | — | 2 | 1 | no | — |
| 237 | C2×Dic142 | — | 2 | 1 | no | — |
| 238 | C2×Dic142 | — | 2 | 1 | no | — |
| 239 | C2×Dic142 | — | 2 | 1 | no | — |
| 240 | C2×Dic142 | — | 2 | 2 | no | — |
| 241 | C2×Dic142 | — | 4 | 1 | no | — |
| 242 | C2×Dic142 | — | 4 | 2 | no | — |
| 243 | C2×Dic142 | — | 4 | 2 | no | — |
| 244 | C2×Dic142 | C2×D4 | 1 | 2 | yes | — |
| 245 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 246 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 247 | Q8×D71 | — | 2 | 2 | no | — |
| 248 | Q8×D71 | — | 2 | 4 | no | — |
| 249 | Q8×D71 | — | 4 | 2 | no | — |
| 250 | Q8×D71 | — | 4 | 1 | no | — |
| 251 | C2×D284 | — | 4 | 1 | no | — |
| 252 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 253 | C2×D284 | C2×D4 | 1 | 1 | yes | characteristic |
| 254 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 255 | C2×C22⋊D71 | — | 2 | 2 | no | — |
| 256 | C2×C22⋊D71 | — | 2 | 2 | no | — |
| 257 | C2×C22⋊D71 | — | 2 | 4 | no | — |
| 258 | C2×C22⋊D71 | — | 4 | 2 | no | — |
| 259 | C2×C22⋊D71 | — | 4 | 2 | no | — |
| 260 | C2×C22⋊D71 | C2×D4 | 1 | 2 | yes | — |
| 261 | D4×D71 | — | 2 | 2 | no | — |
| 262 | D4×D71 | — | 4 | 1 | no | — |
| 263 | D4×D71 | — | 4 | 2 | no | — |
| 264 | D4×D71 | — | 4 | 2 | no | — |
| 265 | C22×Dic71 | — | 2 | 1 | no | — |
| 266 | C22×Dic71 | — | 2 | 2 | no | — |
| 267 | C22×Dic71 | — | 2 | 1 | no | — |
| 268 | C22×Dic71 | — | 2 | 2 | no | — |
| 269 | C2×C4×D71 | — | 2 | 2 | no | — |
| 270 | C2×C4×D71 | — | 2 | 1 | no | — |
| 271 | C2×C4×D71 | — | 4 | 2 | no | — |
| 272 | C2×C4×D71 | C2×D4 | 1 | 2 | yes | — |
| 273 | Dic284 | — | 2 | 4 | no | — |
| 274 | #11765855 | — | 2 | 4 | no | — |
| 275 | #11765855 | — | 2 | 2 | no | — |
| 276 | #11765855 | — | 4 | 1 | no | — |
| 277 | #11765854 | — | 2 | 4 | no | — |
| 278 | #11765853 | — | 2 | 4 | no | — |
| 279 | #11765853 | — | 2 | 2 | no | — |
| 280 | #11765853 | — | 4 | 1 | no | — |
| 281 | #11765852 | — | 2 | 2 | no | — |
| 282 | #11765852 | — | 4 | 1 | no | — |
| 283 | #11765850 | — | 2 | 2 | no | — |
| 284 | #11765850 | — | 4 | 1 | no | — |
| 285 | #11765849 | — | 2 | 1 | no | — |
| 286 | #11765849 | — | 2 | 1 | no | — |
| 287 | #11765849 | — | 2 | 1 | no | — |
| 288 | #11765849 | C2×D4 | 1 | 2 | yes | — |
| 289 | #11765848 | — | 2 | 4 | no | — |
| 290 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 291 | C2×C71⋊C8 | — | 2 | 1 | no | — |
| 292 | C8×D71 | — | 2 | 4 | no | — |
| 293 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 294 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 295 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 296 | Dic71⋊C4 | — | 2 | 4 | no | — |
| 297 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 298 | C22⋊Dic71 | — | 2 | 4 | no | — |
| 299 | C22⋊Dic71 | — | 2 | 4 | no | — |
| 300 | C22⋊Dic71 | — | 2 | 4 | no | — |
| 301 | C22⋊Dic71 | — | 2 | 2 | no | — |
| 302 | C22⋊Dic71 | — | 2 | 2 | no | — |
| 303 | C22⋊Dic71 | — | 2 | 4 | no | — |
| 304 | C22⋊Dic71 | — | 2 | 1 | no | — |
| 305 | C22⋊Dic71 | — | 4 | 2 | no | — |
| 306 | C22⋊Dic71 | C2×D4 | 1 | 2 | yes | — |
| 307 | (C2×D71)⋊C4 | — | 2 | 2 | no | — |
| 308 | C4×Dic71 | — | 2 | 2 | no | — |
| 309 | C4×Dic71 | — | 2 | 1 | no | — |
| 310 | C4×Dic71 | — | 2 | 1 | no | — |
| 311 | C4×Dic71 | — | 2 | 1 | no | — |
| 312 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 313 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 314 | C24×C71 | — | 2 | 2 | no | — |
| 315 | C24×C71 | C2×D4 | 1 | 2 | yes | — |
| 316 | #41×C71 | — | 2 | 1 | no | — |
| 317 | #41×C71 | — | 2 | 1 | no | — |
| 318 | #41×C71 | — | 2 | 1 | no | — |
| 319 | #41×C71 | — | 2 | 1 | no | — |
| 320 | #41×C71 | — | 2 | 1 | no | — |
| 321 | #41×C71 | — | 2 | 1 | no | — |
| 322 | #41×C71 | — | 2 | 1 | no | — |
| 323 | #41×C71 | — | 2 | 1 | no | — |
| 324 | #41×C71 | — | 2 | 1 | no | — |
| 325 | #41×C71 | — | 2 | 1 | no | — |
| 326 | #41×C71 | — | 4 | 2 | no | — |
| 327 | #41×C71 | — | 4 | 2 | no | — |
| 328 | #41×C71 | — | 4 | 2 | no | — |
| 329 | #41×C71 | — | 4 | 2 | no | — |
| 330 | #41×C71 | C2×D4 | 1 | 2 | yes | — |
| 331 | #41×C71 | C2×D4 | 1 | 2 | yes | — |
| 332 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 333 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 334 | C2×Q8×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 335 | C2×D4×C71 | — | 2 | 1 | no | — |
| 336 | C2×D4×C71 | — | 2 | 2 | no | — |
| 337 | C2×D4×C71 | — | 2 | 2 | no | — |
| 338 | C2×D4×C71 | — | 2 | 1 | no | — |
| 339 | C2×D4×C71 | — | 2 | 1 | no | — |
| 340 | C2×D4×C71 | — | 2 | 1 | no | — |
| 341 | C2×D4×C71 | — | 2 | 1 | no | — |
| 342 | C2×D4×C71 | — | 2 | 1 | no | — |
| 343 | C2×D4×C71 | — | 2 | 1 | no | — |
| 344 | C2×D4×C71 | — | 2 | 1 | no | — |
| 345 | C2×D4×C71 | — | 2 | 1 | no | — |
| 346 | C2×D4×C71 | — | 4 | 2 | no | — |
| 347 | C2×D4×C71 | — | 4 | 2 | no | — |
| 348 | C2×D4×C71 | — | 4 | 4 | no | — |
| 349 | C2×D4×C71 | — | 4 | 4 | no | — |
| 350 | C2×D4×C71 | — | 4 | 2 | no | — |
| 351 | C2×D4×C71 | — | 4 | 2 | no | — |
| 352 | C2×D4×C71 | — | 4 | 2 | no | — |
| 353 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 354 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 355 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 356 | C22×C4×C71 | — | 2 | 1 | no | — |
| 357 | C22×C4×C71 | — | 2 | 2 | no | — |
| 358 | C22×C4×C71 | — | 2 | 1 | no | — |
| 359 | C22×C4×C71 | — | 2 | 1 | no | — |
| 360 | C22×C4×C71 | C24 | 1 | 1 | yes | characteristic |
| 361 | Q16×C71 | — | 2 | 2 | no | — |
| 362 | Q16×C71 | — | 4 | 1 | no | — |
| 363 | SD16×C71 | — | 2 | 2 | no | — |
| 364 | SD16×C71 | — | 2 | 2 | no | — |
| 365 | SD16×C71 | — | 4 | 1 | no | — |
| 366 | SD16×C71 | — | 4 | 1 | no | — |
| 367 | D8×C71 | — | 2 | 2 | no | — |
| 368 | D8×C71 | — | 4 | 1 | no | — |
| 369 | M16×C71 | — | 2 | 1 | no | — |
| 370 | M16×C71 | — | 2 | 1 | no | — |
| 371 | M16×C71 | — | 2 | 1 | no | — |
| 372 | M16×C71 | C2×D4 | 1 | 2 | yes | — |
| 373 | C2×C8×C71 | — | 2 | 1 | no | — |
| 374 | C2×C8×C71 | — | 2 | 1 | no | — |
| 375 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 376 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 377 | C22⋊C4×C71 | — | 4 | 2 | no | — |
| 378 | C42×C71 | — | 2 | 1 | no | — |
| 379 | C23×C71 | — | 2 | 1 | no | — |
| 380 | C23×C71 | — | 2 | 2 | no | — |
| 381 | C23×C71 | — | 2 | 1 | no | — |
| 382 | C23×C71 | — | 2 | 2 | no | — |
| 383 | C23×C71 | — | 2 | 1 | no | — |
| 384 | C23×C71 | — | 2 | 2 | no | — |
| 385 | C23×C71 | — | 4 | 4 | no | — |
| 386 | C23×C71 | — | 8 | 2 | no | — |
| 387 | C23×C71 | — | 8 | 4 | no | — |
| 388 | C23×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 389 | C22×D71 | — | 2 | 1 | no | — |
| 390 | C22×D71 | — | 4 | 2 | no | — |
| 391 | C22×D71 | #120 | 1 | 2 | yes | — |
| 392 | Q8×C71 | — | 2 | 1 | no | — |
| 393 | Q8×C71 | — | 2 | 1 | no | — |
| 394 | Q8×C71 | — | 2 | 1 | no | — |
| 395 | Q8×C71 | — | 2 | 1 | no | — |
| 396 | Q8×C71 | — | 2 | 1 | no | — |
| 397 | Q8×C71 | #120 | 1 | 2 | yes | — |
| 398 | D4×C71 | — | 2 | 2 | no | — |
| 399 | D4×C71 | — | 2 | 2 | no | — |
| 400 | D4×C71 | — | 2 | 1 | no | — |
| 401 | D4×C71 | — | 2 | 1 | no | — |
| 402 | D4×C71 | — | 2 | 1 | no | — |
| 403 | D4×C71 | — | 2 | 1 | no | — |
| 404 | D4×C71 | — | 2 | 1 | no | — |
| 405 | D4×C71 | — | 4 | 4 | no | — |
| 406 | D4×C71 | — | 4 | 4 | no | — |
| 407 | D4×C71 | — | 4 | 1 | no | — |
| 408 | D4×C71 | — | 4 | 1 | no | — |
| 409 | D4×C71 | — | 4 | 1 | no | — |
| 410 | D4×C71 | — | 4 | 1 | no | — |
| 411 | D4×C71 | — | 4 | 1 | no | — |
| 412 | D4×C71 | — | 4 | 1 | no | — |
| 413 | D4×C71 | — | 4 | 1 | no | — |
| 414 | D4×C71 | — | 4 | 1 | no | — |
| 415 | D4×C71 | — | 16 | 2 | no | — |
| 416 | D4×C71 | #120 | 1 | 2 | yes | — |
| 417 | C2×C4×C71 | — | 2 | 1 | no | — |
| 418 | C2×C4×C71 | — | 2 | 2 | no | — |
| 419 | C2×C4×C71 | — | 2 | 2 | no | — |
| 420 | C2×C4×C71 | — | 2 | 1 | no | — |
| 421 | C2×C4×C71 | — | 2 | 1 | no | — |
| 422 | C2×C4×C71 | — | 4 | 4 | no | — |
| 423 | C2×C4×C71 | — | 4 | 1 | no | — |
| 424 | C2×C4×C71 | — | 4 | 1 | no | — |
| 425 | C2×C4×C71 | — | 4 | 1 | no | — |
| 426 | C2×C4×C71 | — | 4 | 1 | no | — |
| 427 | C2×C4×C71 | — | 4 | 1 | no | — |
| 428 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 429 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 430 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 431 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 432 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 433 | C2×C4×C71 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 434 | C22⋊D71 | — | 2 | 2 | no | — |
| 435 | C22⋊D71 | — | 2 | 2 | no | — |
| 436 | C22⋊D71 | — | 4 | 2 | no | — |
| 437 | C22⋊D71 | — | 4 | 4 | no | — |
| 438 | C22⋊D71 | — | 4 | 2 | no | — |
| 439 | C22⋊D71 | — | 4 | 1 | no | — |
| 440 | C22⋊D71 | — | 4 | 1 | no | — |
| 441 | C22⋊D71 | — | 8 | 2 | no | — |
| 442 | C22⋊D71 | — | 8 | 4 | no | — |
| 443 | C22⋊D71 | — | 16 | 2 | no | — |
| 444 | C2×Dic71 | — | 2 | 1 | no | — |
| 445 | C2×Dic71 | — | 2 | 2 | no | — |
| 446 | C2×Dic71 | — | 2 | 1 | no | — |
| 447 | C2×Dic71 | — | 2 | 2 | no | — |
| 448 | C2×Dic71 | — | 2 | 1 | no | — |
| 449 | C2×Dic71 | — | 4 | 4 | no | — |
| 450 | C2×Dic71 | — | 4 | 2 | no | — |
| 451 | C2×Dic71 | — | 4 | 1 | no | — |
| 452 | C2×Dic71 | — | 4 | 1 | no | — |
| 453 | C2×Dic71 | — | 4 | 1 | no | — |
| 454 | C2×Dic71 | — | 8 | 1 | no | — |
| 455 | C2×Dic71 | — | 8 | 2 | no | — |
| 456 | C2×Dic71 | #120 | 1 | 2 | yes | — |
| 457 | D284 | — | 2 | 1 | no | — |
| 458 | D284 | — | 2 | 1 | no | — |
| 459 | D284 | — | 2 | 1 | no | — |
| 460 | D284 | — | 2 | 1 | no | — |
| 461 | D284 | — | 4 | 2 | no | — |
| 462 | C4×D71 | — | 2 | 2 | no | — |
| 463 | C4×D71 | — | 2 | 2 | no | — |
| 464 | C4×D71 | — | 4 | 2 | no | — |
| 465 | C4×D71 | — | 4 | 4 | no | — |
| 466 | C4×D71 | — | 4 | 2 | no | — |
| 467 | C4×D71 | — | 4 | 1 | no | — |
| 468 | C4×D71 | — | 4 | 1 | no | — |
| 469 | Dic142 | — | 2 | 1 | no | — |
| 470 | Dic142 | — | 2 | 1 | no | — |
| 471 | Dic142 | — | 2 | 2 | no | — |
| 472 | Dic142 | — | 2 | 1 | no | — |
| 473 | Dic142 | — | 2 | 2 | no | — |
| 474 | Dic142 | — | 2 | 1 | no | — |
| 475 | Dic142 | — | 4 | 4 | no | — |
| 476 | Dic142 | — | 4 | 2 | no | — |
| 477 | Dic142 | — | 4 | 1 | no | — |
| 478 | Dic142 | — | 4 | 1 | no | — |
| 479 | C8×C71 | — | 2 | 2 | no | — |
| 480 | C8×C71 | — | 4 | 1 | no | — |
| 481 | C71⋊C8 | — | 2 | 2 | no | — |
| 482 | C71⋊C8 | — | 4 | 1 | no | — |
| 483 | C22×C71 | — | 2 | 2 | no | — |
| 484 | C22×C71 | — | 4 | 1 | no | — |
| 485 | C22×C71 | — | 4 | 2 | no | — |
| 486 | C22×C71 | — | 4 | 4 | no | — |
| 487 | C22×C71 | — | 4 | 2 | no | — |
| 488 | C22×C71 | — | 4 | 1 | no | — |
| 489 | C22×C71 | — | 4 | 1 | no | — |
| 490 | C22×C71 | — | 4 | 2 | no | — |
| 491 | C22×C71 | — | 8 | 2 | no | — |
| 492 | C22×C71 | — | 8 | 1 | no | — |
| 493 | C22×C71 | — | 8 | 2 | no | — |
| 494 | C22×C71 | — | 16 | 4 | no | — |
| 495 | C22×C71 | C2×#120 | 1 | 1 | yes | characteristic |
| 496 | C22×C71 | D42 | 1 | 1 | yes | characteristic |
| 497 | C22×C71 | D42 | 1 | 1 | yes | characteristic |
| 498 | C2×D71 | — | 2 | 2 | no | — |
| 499 | C2×D71 | — | 4 | 2 | no | — |
| 500 | C2×D71 | — | 4 | 1 | no | — |
| 501 | C2×D71 | — | 8 | 1 | no | — |
| 502 | C2×D71 | — | 16 | 2 | no | — |
| 503 | C4×C71 | — | 2 | 2 | no | — |
| 504 | C4×C71 | — | 4 | 1 | no | — |
| 505 | C4×C71 | — | 4 | 1 | no | — |
| 506 | C4×C71 | — | 8 | 1 | no | — |
| 507 | C4×C71 | C2×#120 | 1 | 1 | yes | characteristic |
| 508 | C4×C71 | #534 | 1 | 1 | yes | characteristic |
| 509 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 510 | C4×C71 | D42 | 1 | 1 | yes | characteristic |
| 511 | Dic71 | — | 2 | 2 | no | — |
| 512 | Dic71 | — | 4 | 1 | no | — |
| 513 | Dic71 | — | 4 | 2 | no | — |
| 514 | Dic71 | — | 4 | 1 | no | — |
| 515 | Dic71 | — | 4 | 2 | no | — |
| 516 | Dic71 | — | 4 | 1 | no | — |
| 517 | Dic71 | — | 8 | 1 | no | — |
| 518 | #23873 | — | 71 | 1 | no | maximal, Sylow |
| 519 | C2×C71 | — | 2 | 1 | no | — |
| 520 | C2×C71 | — | 2 | 1 | no | — |
| 521 | C2×C71 | — | 2 | 1 | no | — |
| 522 | C2×C71 | — | 4 | 2 | no | — |
| 523 | C2×C71 | — | 8 | 1 | no | — |
| 524 | C2×C71 | — | 8 | 2 | no | — |
| 525 | C2×C71 | — | 8 | 1 | no | — |
| 526 | C2×C71 | #2403 | 1 | 1 | yes | characteristic |
| 527 | D71 | — | 4 | 2 | no | — |
| 528 | D71 | — | 8 | 1 | no | — |
| 529 | #3586 | — | 71 | 1 | no | — |
| 530 | #3500 | — | 71 | 1 | no | — |
| 531 | #3027 | — | 71 | 1 | no | — |
| 532 | #3019 | — | 71 | 1 | no | — |
| 533 | #3019 | D71 | 1 | 1 | yes | characteristic, complemented |
| 534 | #3018 | — | 71 | 1 | no | — |
| 535 | #2009 | — | 71 | 1 | no | — |
| 536 | #2009 | — | 71 | 1 | no | — |
| 537 | #2004 | — | 71 | 1 | no | — |
| 538 | #2004 | — | 71 | 1 | no | — |
| 539 | #1914 | — | 71 | 1 | no | — |
| 540 | #1906 | — | 71 | 1 | no | — |
| 541 | #1906 | — | 71 | 1 | no | — |
| 542 | #1884 | — | 71 | 1 | no | — |
| 543 | #1796 | — | 71 | 1 | no | — |
| 544 | C71 | #23873 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 545 | #585 | — | 71 | 1 | no | — |
| 546 | C2×2−1+4 | — | 71 | 1 | no | — |
| 547 | C2×H(5,𝔽2) | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 548 | #578 | — | 142 | 2 | no | — |
| 549 | #578 | — | 142 | 2 | no | — |
| 550 | #577 | — | 142 | 2 | no | — |
| 551 | #577 | — | 142 | 2 | no | — |
| 552 | #575 | — | 71 | 1 | no | — |
| 553 | #575 | — | 71 | 1 | no | — |
| 554 | #575 | — | 142 | 2 | no | — |
| 555 | #575 | C2×D71 | 1 | 1 | yes | characteristic |
| 556 | #575 | C2×D71 | 1 | 1 | yes | characteristic |
| 557 | C2×#137 | — | 71 | 1 | no | — |
| 558 | C2×#137 | — | 71 | 1 | no | — |
| 559 | C2×#137 | — | 142 | 2 | no | — |
| 560 | #568 | — | 71 | 1 | no | — |
| 561 | #548 | — | 142 | 2 | no | — |
| 562 | #546 | — | 142 | 4 | no | — |
| 563 | #546 | — | 142 | 2 | no | — |
| 564 | #536 | — | 71 | 1 | no | — |
| 565 | #536 | — | 142 | 1 | no | — |
| 566 | #535 | — | 71 | 1 | no | — |
| 567 | #535 | — | 71 | 1 | no | — |
| 568 | #535 | — | 142 | 1 | no | — |
| 569 | #535 | C2×D71 | 1 | 1 | yes | characteristic |
| 570 | #532 | — | 71 | 1 | no | — |
| 571 | #532 | — | 142 | 1 | no | — |
| 572 | C2×#124 | — | 71 | 1 | no | — |
| 573 | C2×#124 | — | 142 | 1 | no | — |
| 574 | C4×#41 | — | 71 | 1 | no | — |
| 575 | B(4,𝔽2) | — | 142 | 4 | no | — |
| 576 | #456 | — | 142 | 1 | no | — |
| 577 | #455 | — | 2 | 2 | no | — |
| 578 | #455 | — | 142 | 1 | no | — |
| 579 | #455 | — | 142 | 2 | no | — |
| 580 | #454 | — | 142 | 1 | no | — |
| 581 | #453 | — | 2 | 2 | no | — |
| 582 | #453 | — | 142 | 1 | no | — |
| 583 | #453 | — | 142 | 2 | no | — |
| 584 | #421 | — | 71 | 1 | no | — |
| 585 | #421 | — | 71 | 1 | no | — |
| 586 | #421 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 587 | #421 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 588 | C2×#104 | — | 71 | 1 | no | — |
| 589 | C2×#104 | — | 71 | 1 | no | — |
| 590 | #419 | — | 71 | 1 | no | — |
| 591 | #419 | — | 71 | 1 | no | — |
| 592 | #413 | — | 71 | 1 | no | — |
| 593 | C2×#100 | — | 71 | 1 | no | — |
| 594 | C2×#100 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 595 | #410 | — | 71 | 1 | no | — |
| 596 | #410 | — | 71 | 1 | no | — |
| 597 | #410 | — | 71 | 1 | no | — |
| 598 | #344 | — | 71 | 1 | no | — |
| 599 | #344 | — | 71 | 1 | no | — |
| 600 | #339 | — | 71 | 1 | no | — |
| 601 | #339 | — | 71 | 1 | no | — |
| 602 | 2−1+4 | — | 284 | 1 | no | — |
| 603 | 2−1+4 | — | 284 | 1 | no | — |
| 604 | 2−1+4 | — | 142 | 1 | no | — |
| 605 | 2−1+4 | — | 142 | 1 | no | — |
| 606 | 2−1+4 | — | 142 | 2 | no | — |
| 607 | 2−1+4 | — | 142 | 2 | no | — |
| 608 | 2−1+4 | — | 142 | 1 | no | — |
| 609 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 610 | H(5,𝔽2) | — | 2 | 2 | no | — |
| 611 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 612 | H(5,𝔽2) | — | 4 | 1 | no | — |
| 613 | H(5,𝔽2) | — | 142 | 2 | no | — |
| 614 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 615 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 616 | H(5,𝔽2) | — | 142 | 1 | no | — |
| 617 | C2×#41 | — | 2 | 1 | no | — |
| 618 | C2×#41 | — | 2 | 1 | no | — |
| 619 | C2×#41 | — | 284 | 1 | no | — |
| 620 | C2×#41 | — | 284 | 1 | no | — |
| 621 | C2×#41 | — | 71 | 1 | no | — |
| 622 | C2×#41 | — | 71 | 2 | no | — |
| 623 | C2×#41 | — | 71 | 1 | no | — |
| 624 | C2×#41 | — | 142 | 1 | no | — |
| 625 | C2×#41 | — | 142 | 2 | no | — |
| 626 | C2×#41 | — | 142 | 2 | no | — |
| 627 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 628 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 629 | C2×#41 | C22×D71 | 1 | 1 | yes | characteristic |
| 630 | C22×Q8 | — | 71 | 2 | no | — |
| 631 | C22×Q8 | — | 71 | 1 | no | — |
| 632 | C22×Q8 | — | 142 | 1 | no | — |
| 633 | C22×D4 | — | 2 | 2 | no | — |
| 634 | C22×D4 | — | 2 | 1 | no | — |
| 635 | C22×D4 | — | 2 | 1 | no | — |
| 636 | C22×D4 | C22×D71 | 1 | 1 | yes | characteristic |
| 637 | #137 | — | 2 | 1 | no | — |
| 638 | #137 | — | 2 | 1 | no | — |
| 639 | #137 | — | 2 | 1 | no | — |
| 640 | #137 | — | 71 | 2 | no | — |
| 641 | #137 | — | 142 | 2 | no | — |
| 642 | #137 | — | 142 | 2 | no | — |
| 643 | #137 | — | 142 | 4 | no | — |
| 644 | #137 | — | 142 | 4 | no | — |
| 645 | #137 | — | 142 | 1 | no | — |
| 646 | #137 | — | 142 | 1 | no | — |
| 647 | #137 | — | 142 | 4 | no | — |
| 648 | #137 | — | 142 | 2 | no | — |
| 649 | #137 | — | 142 | 1 | no | — |
| 650 | #137 | — | 142 | 2 | no | — |
| 651 | #137 | C22⋊D71 | 1 | 2 | yes | complemented |
| 652 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 653 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 654 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 655 | AGL(1,ℤ/8) | — | 71 | 2 | no | — |
| 656 | AGL(1,ℤ/8) | — | 142 | 4 | no | — |
| 657 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 658 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 659 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 660 | AGL(1,ℤ/8) | C22⋊D71 | 1 | 2 | yes | complemented |
| 661 | #135 | — | 2 | 2 | no | — |
| 662 | #135 | — | 4 | 1 | no | — |
| 663 | #135 | — | 284 | 1 | no | — |
| 664 | #135 | — | 142 | 4 | no | — |
| 665 | #135 | — | 142 | 4 | no | — |
| 666 | #135 | — | 142 | 2 | no | — |
| 667 | C2×Q16 | — | 142 | 1 | no | — |
| 668 | C2×Q16 | — | 142 | 4 | no | — |
| 669 | C2×Q16 | — | 142 | 1 | no | — |
| 670 | C2×SD16 | — | 142 | 1 | no | — |
| 671 | C2×SD16 | — | 142 | 4 | no | — |
| 672 | C2×SD16 | — | 142 | 1 | no | — |
| 673 | #131 | — | 142 | 2 | no | — |
| 674 | #131 | — | 142 | 2 | no | — |
| 675 | C2×M16 | — | 71 | 1 | no | — |
| 676 | C2×M16 | — | 71 | 1 | no | — |
| 677 | C2×M16 | — | 142 | 2 | no | — |
| 678 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 679 | C2×M16 | C22×D71 | 1 | 1 | yes | characteristic |
| 680 | C4⋊Q8 | — | 71 | 1 | no | — |
| 681 | C4⋊Q8 | — | 142 | 1 | no | — |
| 682 | #127 | — | 2 | 1 | no | — |
| 683 | #127 | — | 71 | 1 | no | — |
| 684 | #127 | — | 142 | 1 | no | — |
| 685 | #127 | — | 142 | 1 | no | — |
| 686 | #124 | — | 2 | 1 | no | — |
| 687 | #124 | — | 71 | 1 | no | — |
| 688 | #124 | — | 71 | 1 | no | — |
| 689 | #124 | — | 142 | 1 | no | — |
| 690 | #124 | — | 142 | 1 | no | — |
| 691 | #124 | — | 142 | 1 | no | — |
| 692 | #124 | — | 142 | 2 | no | — |
| 693 | #124 | — | 142 | 1 | no | — |
| 694 | #124 | — | 142 | 4 | no | — |
| 695 | #124 | — | 142 | 1 | no | — |
| 696 | #123 | — | 142 | 2 | no | — |
| 697 | #123 | — | 142 | 4 | no | — |
| 698 | C22⋊Q8 | — | 142 | 2 | no | — |
| 699 | C22⋊Q8 | — | 142 | 4 | no | — |
| 700 | #121 | — | 4 | 1 | no | — |
| 701 | #121 | — | 284 | 1 | no | — |
| 702 | #121 | — | 142 | 2 | no | — |
| 703 | #121 | — | 142 | 2 | no | — |
| 704 | #121 | — | 142 | 4 | no | — |
| 705 | #121 | — | 142 | 4 | no | — |
| 706 | #120 | — | 2 | 2 | no | — |
| 707 | #120 | — | 71 | 4 | no | — |
| 708 | #120 | — | 142 | 2 | no | — |
| 709 | #120 | — | 142 | 4 | no | — |
| 710 | C4×Q8 | — | 142 | 1 | no | — |
| 711 | C4×D4 | — | 142 | 2 | no | — |
| 712 | C4×D4 | — | 142 | 2 | no | — |
| 713 | C4×D4 | — | 142 | 4 | no | — |
| 714 | C4×D4 | — | 142 | 1 | no | — |
| 715 | #117 | — | 71 | 1 | no | — |
| 716 | #117 | — | 71 | 1 | no | — |
| 717 | #117 | — | 142 | 1 | no | — |
| 718 | #117 | C22×D71 | 1 | 1 | yes | characteristic |
| 719 | C2×C22⋊C4 | — | 142 | 4 | no | — |
| 720 | C2×C22⋊C4 | — | 142 | 2 | no | — |
| 721 | C2×C42 | — | 71 | 1 | no | — |
| 722 | C2×C42 | — | 142 | 1 | no | — |
| 723 | #104 | — | 2 | 2 | no | — |
| 724 | #104 | — | 2 | 2 | no | — |
| 725 | #104 | — | 142 | 1 | no | — |
| 726 | #104 | — | 142 | 1 | no | — |
| 727 | #104 | — | 142 | 1 | no | — |
| 728 | #104 | — | 142 | 1 | no | — |
| 729 | #104 | — | 142 | 2 | no | — |
| 730 | #104 | — | 142 | 2 | no | — |
| 731 | #103 | — | 284 | 1 | no | — |
| 732 | #103 | — | 284 | 1 | no | — |
| 733 | #101 | — | 142 | 1 | no | — |
| 734 | #100 | — | 2 | 2 | no | — |
| 735 | #100 | — | 142 | 1 | no | — |
| 736 | #100 | — | 142 | 2 | no | — |
| 737 | #99 | — | 142 | 2 | no | — |
| 738 | #99 | — | 142 | 2 | no | — |
| 739 | #99 | — | 142 | 2 | no | — |
| 740 | C24 | — | 2 | 2 | no | — |
| 741 | C24 | D4×D71 | 1 | 2 | yes | — |
| 742 | #41 | — | 2 | 1 | no | — |
| 743 | #41 | — | 2 | 1 | no | — |
| 744 | #41 | — | 2 | 1 | no | — |
| 745 | #41 | — | 2 | 1 | no | — |
| 746 | #41 | — | 2 | 1 | no | — |
| 747 | #41 | — | 2 | 1 | no | — |
| 748 | #41 | — | 2 | 1 | no | — |
| 749 | #41 | — | 2 | 1 | no | — |
| 750 | #41 | — | 2 | 1 | no | — |
| 751 | #41 | — | 2 | 1 | no | — |
| 752 | #41 | — | 4 | 2 | no | — |
| 753 | #41 | — | 4 | 2 | no | — |
| 754 | #41 | — | 4 | 2 | no | — |
| 755 | #41 | — | 4 | 2 | no | — |
| 756 | #41 | — | 284 | 2 | no | — |
| 757 | #41 | — | 284 | 2 | no | — |
| 758 | #41 | — | 284 | 2 | no | — |
| 759 | #41 | — | 284 | 1 | no | — |
| 760 | #41 | — | 284 | 1 | no | — |
| 761 | #41 | — | 284 | 2 | no | — |
| 762 | #41 | — | 284 | 1 | no | — |
| 763 | #41 | — | 284 | 4 | no | — |
| 764 | #41 | — | 284 | 4 | no | — |
| 765 | #41 | — | 284 | 1 | no | — |
| 766 | #41 | — | 284 | 2 | no | — |
| 767 | #41 | — | 284 | 2 | no | — |
| 768 | #41 | — | 284 | 2 | no | — |
| 769 | #41 | — | 142 | 2 | no | — |
| 770 | #41 | — | 142 | 2 | no | — |
| 771 | #41 | — | 142 | 4 | no | — |
| 772 | #41 | — | 142 | 1 | no | — |
| 773 | #41 | — | 142 | 1 | no | — |
| 774 | #41 | — | 142 | 1 | no | — |
| 775 | #41 | — | 142 | 1 | no | — |
| 776 | #41 | — | 142 | 1 | no | — |
| 777 | #41 | — | 142 | 1 | no | — |
| 778 | #41 | — | 142 | 1 | no | — |
| 779 | #41 | — | 142 | 1 | no | — |
| 780 | #41 | D4×D71 | 1 | 2 | yes | — |
| 781 | #41 | C2×C22⋊D71 | 1 | 2 | yes | — |
| 782 | C2×Q8 | — | 284 | 2 | no | — |
| 783 | C2×Q8 | — | 284 | 2 | no | — |
| 784 | C2×Q8 | — | 284 | 1 | no | — |
| 785 | C2×Q8 | — | 284 | 1 | no | — |
| 786 | C2×Q8 | — | 284 | 2 | no | — |
| 787 | C2×Q8 | — | 71 | 1 | no | — |
| 788 | C2×Q8 | — | 71 | 2 | no | — |
| 789 | C2×Q8 | — | 71 | 1 | no | — |
| 790 | C2×Q8 | — | 142 | 2 | no | — |
| 791 | C2×Q8 | — | 142 | 2 | no | — |
| 792 | C2×Q8 | — | 142 | 4 | no | — |
| 793 | C2×Q8 | — | 142 | 1 | no | — |
| 794 | C2×Q8 | — | 142 | 1 | no | — |
| 795 | C2×Q8 | — | 142 | 1 | no | — |
| 796 | C2×Q8 | — | 142 | 1 | no | — |
| 797 | C2×Q8 | — | 142 | 1 | no | — |
| 798 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 799 | C2×Q8 | D4×D71 | 1 | 1 | yes | characteristic |
| 800 | C2×Q8 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 801 | C2×D4 | — | 2 | 1 | no | — |
| 802 | C2×D4 | — | 2 | 2 | no | — |
| 803 | C2×D4 | — | 2 | 2 | no | — |
| 804 | C2×D4 | — | 2 | 1 | no | — |
| 805 | C2×D4 | — | 2 | 1 | no | — |
| 806 | C2×D4 | — | 2 | 1 | no | — |
| 807 | C2×D4 | — | 2 | 1 | no | — |
| 808 | C2×D4 | — | 2 | 1 | no | — |
| 809 | C2×D4 | — | 2 | 1 | no | — |
| 810 | C2×D4 | — | 2 | 1 | no | — |
| 811 | C2×D4 | — | 2 | 1 | no | — |
| 812 | C2×D4 | — | 4 | 2 | no | — |
| 813 | C2×D4 | — | 4 | 2 | no | — |
| 814 | C2×D4 | — | 4 | 4 | no | — |
| 815 | C2×D4 | — | 4 | 4 | no | — |
| 816 | C2×D4 | — | 4 | 2 | no | — |
| 817 | C2×D4 | — | 4 | 2 | no | — |
| 818 | C2×D4 | — | 4 | 2 | no | — |
| 819 | C2×D4 | — | 284 | 1 | no | — |
| 820 | C2×D4 | — | 284 | 1 | no | — |
| 821 | C2×D4 | — | 284 | 2 | no | — |
| 822 | C2×D4 | — | 284 | 2 | no | — |
| 823 | C2×D4 | — | 284 | 2 | no | — |
| 824 | C2×D4 | — | 284 | 2 | no | — |
| 825 | C2×D4 | — | 71 | 2 | no | — |
| 826 | C2×D4 | — | 71 | 1 | no | — |
| 827 | C2×D4 | — | 71 | 1 | no | — |
| 828 | C2×D4 | — | 142 | 2 | no | — |
| 829 | C2×D4 | — | 142 | 2 | no | — |
| 830 | C2×D4 | — | 142 | 1 | no | — |
| 831 | C2×D4 | — | 142 | 4 | no | — |
| 832 | C2×D4 | — | 142 | 2 | no | — |
| 833 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 834 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 835 | C2×D4 | C2×C22⋊D71 | 1 | 1 | yes | characteristic |
| 836 | C22×C4 | — | 2 | 1 | no | — |
| 837 | C22×C4 | — | 2 | 2 | no | — |
| 838 | C22×C4 | — | 2 | 1 | no | — |
| 839 | C22×C4 | — | 2 | 1 | no | — |
| 840 | C22×C4 | — | 284 | 2 | no | — |
| 841 | C22×C4 | — | 71 | 2 | no | — |
| 842 | C22×C4 | — | 142 | 2 | no | — |
| 843 | C22×C4 | — | 142 | 2 | no | — |
| 844 | C22×C4 | — | 142 | 1 | no | — |
| 845 | C22×C4 | — | 142 | 1 | no | — |
| 846 | C22×C4 | — | 142 | 2 | no | — |
| 847 | C22×C4 | — | 142 | 1 | no | — |
| 848 | C22×C4 | C23×D71 | 1 | 1 | yes | characteristic |
| 849 | Q16 | — | 2 | 2 | no | — |
| 850 | Q16 | — | 4 | 1 | no | — |
| 851 | Q16 | — | 284 | 1 | no | — |
| 852 | Q16 | — | 142 | 4 | no | — |
| 853 | Q16 | — | 142 | 4 | no | — |
| 854 | Q16 | — | 142 | 2 | no | — |
| 855 | SD16 | — | 2 | 2 | no | — |
| 856 | SD16 | — | 2 | 2 | no | — |
| 857 | SD16 | — | 4 | 1 | no | — |
| 858 | SD16 | — | 4 | 1 | no | — |
| 859 | SD16 | — | 284 | 1 | no | — |
| 860 | SD16 | — | 284 | 1 | no | — |
| 861 | SD16 | — | 142 | 4 | no | — |
| 862 | SD16 | — | 142 | 4 | no | — |
| 863 | SD16 | — | 142 | 2 | no | — |
| 864 | SD16 | — | 142 | 2 | no | — |
| 865 | D8 | — | 2 | 2 | no | — |
| 866 | D8 | — | 4 | 1 | no | — |
| 867 | D8 | — | 284 | 1 | no | — |
| 868 | D8 | — | 142 | 2 | no | — |
| 869 | M16 | — | 2 | 1 | no | — |
| 870 | M16 | — | 2 | 1 | no | — |
| 871 | M16 | — | 2 | 1 | no | — |
| 872 | M16 | — | 71 | 2 | no | — |
| 873 | M16 | — | 142 | 4 | no | — |
| 874 | M16 | — | 142 | 1 | no | — |
| 875 | M16 | — | 142 | 1 | no | — |
| 876 | M16 | — | 142 | 1 | no | — |
| 877 | M16 | C2×C22⋊D71 | 1 | 2 | yes | — |
| 878 | C2×C8 | — | 2 | 1 | no | — |
| 879 | C2×C8 | — | 2 | 1 | no | — |
| 880 | C2×C8 | — | 142 | 4 | no | — |
| 881 | C2×C8 | — | 142 | 1 | no | — |
| 882 | C2×C8 | — | 142 | 1 | no | — |
| 883 | C4⋊C4 | — | 2 | 1 | no | — |
| 884 | C4⋊C4 | — | 142 | 2 | no | — |
| 885 | C4⋊C4 | — | 142 | 4 | no | — |
| 886 | C4⋊C4 | — | 142 | 2 | no | — |
| 887 | C4⋊C4 | — | 142 | 1 | no | — |
| 888 | C4⋊C4 | — | 142 | 1 | no | — |
| 889 | C22⋊C4 | — | 2 | 1 | no | — |
| 890 | C22⋊C4 | — | 4 | 2 | no | — |
| 891 | C22⋊C4 | — | 284 | 2 | no | — |
| 892 | C22⋊C4 | — | 71 | 2 | no | — |
| 893 | C22⋊C4 | — | 142 | 2 | no | — |
| 894 | C22⋊C4 | — | 142 | 1 | no | — |
| 895 | C22⋊C4 | — | 142 | 2 | no | — |
| 896 | C22⋊C4 | — | 142 | 4 | no | — |
| 897 | C22⋊C4 | — | 142 | 4 | no | — |
| 898 | C22⋊C4 | — | 142 | 4 | no | — |
| 899 | C22⋊C4 | — | 142 | 4 | no | — |
| 900 | C22⋊C4 | — | 142 | 2 | no | — |
| 901 | C42 | — | 2 | 1 | no | — |
| 902 | C42 | — | 71 | 1 | no | — |
| 903 | C42 | — | 71 | 1 | no | — |
| 904 | C42 | — | 142 | 2 | no | — |
| 905 | C42 | — | 142 | 1 | no | — |
| 906 | C42 | — | 142 | 1 | no | — |
| 907 | C42 | — | 142 | 1 | no | — |
| 908 | C23 | — | 2 | 1 | no | — |
| 909 | C23 | — | 2 | 2 | no | — |
| 910 | C23 | — | 2 | 1 | no | — |
| 911 | C23 | — | 2 | 2 | no | — |
| 912 | C23 | — | 2 | 2 | no | — |
| 913 | C23 | — | 2 | 1 | no | — |
| 914 | C23 | — | 4 | 4 | no | — |
| 915 | C23 | — | 8 | 2 | no | — |
| 916 | C23 | — | 8 | 4 | no | — |
| 917 | C23 | — | 284 | 2 | no | — |
| 918 | C23 | — | 71 | 2 | no | — |
| 919 | C23 | — | 142 | 1 | no | — |
| 920 | C23 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 921 | Q8 | — | 2 | 1 | no | — |
| 922 | Q8 | — | 2 | 1 | no | — |
| 923 | Q8 | — | 2 | 1 | no | — |
| 924 | Q8 | — | 2 | 1 | no | — |
| 925 | Q8 | — | 2 | 1 | no | — |
| 926 | Q8 | — | 284 | 4 | no | — |
| 927 | Q8 | — | 284 | 2 | no | — |
| 928 | Q8 | — | 284 | 1 | no | — |
| 929 | Q8 | — | 284 | 1 | no | — |
| 930 | Q8 | — | 142 | 1 | no | — |
| 931 | Q8 | — | 142 | 2 | no | — |
| 932 | Q8 | — | 142 | 1 | no | — |
| 933 | Q8 | — | 142 | 2 | no | — |
| 934 | Q8 | — | 142 | 1 | no | — |
| 935 | Q8 | — | 142 | 1 | no | — |
| 936 | Q8 | #14556096 | 1 | 2 | yes | — |
| 937 | D4 | — | 2 | 2 | no | — |
| 938 | D4 | — | 2 | 2 | no | — |
| 939 | D4 | — | 2 | 1 | no | — |
| 940 | D4 | — | 2 | 1 | no | — |
| 941 | D4 | — | 2 | 1 | no | — |
| 942 | D4 | — | 2 | 1 | no | — |
| 943 | D4 | — | 2 | 1 | no | — |
| 944 | D4 | — | 4 | 4 | no | — |
| 945 | D4 | — | 4 | 4 | no | — |
| 946 | D4 | — | 4 | 1 | no | — |
| 947 | D4 | — | 4 | 1 | no | — |
| 948 | D4 | — | 4 | 1 | no | — |
| 949 | D4 | — | 4 | 1 | no | — |
| 950 | D4 | — | 4 | 1 | no | — |
| 951 | D4 | — | 4 | 1 | no | — |
| 952 | D4 | — | 4 | 1 | no | — |
| 953 | D4 | — | 4 | 1 | no | — |
| 954 | D4 | — | 16 | 2 | no | — |
| 955 | D4 | — | 284 | 2 | no | — |
| 956 | D4 | — | 284 | 4 | no | — |
| 957 | D4 | — | 284 | 2 | no | — |
| 958 | D4 | — | 284 | 1 | no | — |
| 959 | D4 | — | 284 | 1 | no | — |
| 960 | D4 | — | 284 | 2 | no | — |
| 961 | D4 | — | 568 | 4 | no | — |
| 962 | D4 | — | 568 | 2 | no | — |
| 963 | D4 | — | 1136 | 2 | no | — |
| 964 | D4 | — | 142 | 2 | no | — |
| 965 | D4 | — | 142 | 2 | no | — |
| 966 | D4 | — | 142 | 1 | no | — |
| 967 | D4 | — | 142 | 1 | no | — |
| 968 | D4 | — | 142 | 1 | no | — |
| 969 | D4 | — | 142 | 1 | no | — |
| 970 | D4 | #14556096 | 1 | 2 | yes | — |
| 971 | C2×C4 | — | 2 | 1 | no | — |
| 972 | C2×C4 | — | 2 | 2 | no | — |
| 973 | C2×C4 | — | 2 | 2 | no | — |
| 974 | C2×C4 | — | 2 | 1 | no | — |
| 975 | C2×C4 | — | 2 | 1 | no | — |
| 976 | C2×C4 | — | 4 | 4 | no | — |
| 977 | C2×C4 | — | 4 | 1 | no | — |
| 978 | C2×C4 | — | 4 | 1 | no | — |
| 979 | C2×C4 | — | 4 | 1 | no | — |
| 980 | C2×C4 | — | 4 | 1 | no | — |
| 981 | C2×C4 | — | 4 | 1 | no | — |
| 982 | C2×C4 | — | 284 | 4 | no | — |
| 983 | C2×C4 | — | 284 | 2 | no | — |
| 984 | C2×C4 | — | 284 | 2 | no | — |
| 985 | C2×C4 | — | 284 | 1 | no | — |
| 986 | C2×C4 | — | 284 | 1 | no | — |
| 987 | C2×C4 | — | 284 | 4 | no | — |
| 988 | C2×C4 | — | 284 | 2 | no | — |
| 989 | C2×C4 | — | 284 | 1 | no | — |
| 990 | C2×C4 | — | 284 | 1 | no | — |
| 991 | C2×C4 | — | 284 | 1 | no | — |
| 992 | C2×C4 | — | 568 | 1 | no | — |
| 993 | C2×C4 | — | 568 | 2 | no | — |
| 994 | C2×C4 | — | 71 | 2 | no | — |
| 995 | C2×C4 | — | 142 | 1 | no | — |
| 996 | C2×C4 | — | 142 | 1 | no | — |
| 997 | C2×C4 | — | 142 | 1 | no | — |
| 998 | C2×C4 | — | 142 | 2 | no | — |
| 999 | C2×C4 | — | 142 | 2 | no | — |
| 1000 | C2×C4 | — | 142 | 2 | no | — |
| 1001 | C2×C4 | — | 142 | 2 | no | — |
| 1002 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 1003 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 1004 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 1005 | C2×C4 | C22×C22⋊D71 | 1 | 1 | yes | characteristic |
| 1006 | C2×C4 | #14556173 | 1 | 1 | yes | characteristic |
| 1007 | C2×C4 | #14556173 | 1 | 1 | yes | characteristic |
| 1008 | C8 | — | 2 | 2 | no | — |
| 1009 | C8 | — | 4 | 1 | no | — |
| 1010 | C8 | — | 284 | 1 | no | — |
| 1011 | C8 | — | 142 | 2 | no | — |
| 1012 | C22 | — | 2 | 2 | no | — |
| 1013 | C22 | — | 4 | 1 | no | — |
| 1014 | C22 | — | 4 | 2 | no | — |
| 1015 | C22 | — | 4 | 4 | no | — |
| 1016 | C22 | — | 4 | 2 | no | — |
| 1017 | C22 | — | 4 | 1 | no | — |
| 1018 | C22 | — | 4 | 1 | no | — |
| 1019 | C22 | — | 4 | 2 | no | — |
| 1020 | C22 | — | 8 | 1 | no | — |
| 1021 | C22 | — | 8 | 2 | no | — |
| 1022 | C22 | — | 8 | 2 | no | — |
| 1023 | C22 | — | 16 | 4 | no | — |
| 1024 | C22 | — | 284 | 2 | no | — |
| 1025 | C22 | — | 284 | 1 | no | — |
| 1026 | C22 | — | 568 | 1 | no | — |
| 1027 | C22 | — | 1136 | 2 | no | — |
| 1028 | C22 | — | 142 | 2 | no | — |
| 1029 | C22 | #120×D71 | 1 | 1 | yes | characteristic |
| 1030 | C22 | #17986631 | 1 | 1 | yes | characteristic |
| 1031 | C22 | D4×C22⋊D71 | 1 | 1 | yes | characteristic |
| 1032 | C4 | — | 2 | 2 | no | — |
| 1033 | C4 | — | 4 | 1 | no | — |
| 1034 | C4 | — | 4 | 1 | no | — |
| 1035 | C4 | — | 8 | 1 | no | — |
| 1036 | C4 | — | 284 | 1 | no | — |
| 1037 | C4 | — | 284 | 1 | no | — |
| 1038 | C4 | — | 284 | 2 | no | — |
| 1039 | C4 | — | 284 | 1 | no | — |
| 1040 | C4 | — | 284 | 2 | no | — |
| 1041 | C4 | — | 568 | 1 | no | — |
| 1042 | C4 | — | 142 | 2 | no | — |
| 1043 | C4 | C2×#14556096 | 1 | 1 | yes | characteristic |
| 1044 | C4 | #17986559 | 1 | 1 | yes | characteristic |
| 1045 | C4 | #17986631 | 1 | 1 | yes | characteristic |
| 1046 | C4 | D4×C22⋊D71 | 1 | 1 | yes | characteristic |
| 1047 | C2 | — | 2 | 1 | no | — |
| 1048 | C2 | — | 2 | 1 | no | — |
| 1049 | C2 | — | 2 | 1 | no | — |
| 1050 | C2 | — | 4 | 2 | no | — |
| 1051 | C2 | — | 8 | 2 | no | — |
| 1052 | C2 | — | 8 | 1 | no | — |
| 1053 | C2 | — | 8 | 1 | no | — |
| 1054 | C2 | — | 284 | 2 | no | — |
| 1055 | C2 | — | 568 | 1 | no | — |
| 1056 | C2 | #22591651 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #22603124 | C2 | semidirect |
| 2. #22602128 | C2 | semidirect |
| 3. #22597741 | C2 | semidirect |
| 4. #22597697 | C2 | semidirect |
| 5. #22597686 | C2 | semidirect |
| 6. #22589401 | C2 | semidirect |
| 7. #22589397 | C2 | semidirect |
| 8. #22589371 | C2 | semidirect |
| 9. #22589367 | C2 | semidirect |
| 10. #22588884 | C2 | semidirect |
| 11. #22588843 | C2 | semidirect |
| 12. #22588839 | C2 | semidirect |
| 13. #22588720 | C2 | semidirect |
| 14. #22588314 | C2 | semidirect |
| 15. C71×#3019 | C2 | semidirect |
| 16. #17986835 | C22 | semidirect |
| 25. C2×#14556161 | C22 | semidirect |
| 26. C2×#14556158 | C22 | semidirect |
| 28. #17986765 | C22 | semidirect |
| 33. #17986570 | C22 | semidirect |
| 40. C2×#14556115 | C22 | semidirect |
| 41. #41×Dic71 | C22 | semidirect |
| 49. #17986016 | C22 | semidirect |
| 50. #17986016 | C22 | semidirect |
| 51. C2×#14556055 | C22 | semidirect |
| 52. C2×#14556054 | C22 | semidirect |
| 53. #17986009 | C22 | semidirect |
| 54. #17986007 | C22 | semidirect |
| 55. #17985981 | C22 | semidirect |
| 56. C2×#14556045 | C22 | semidirect |
| 57. #17985973 | C22 | semidirect |
| 58. #17985972 | C22 | semidirect |
| 59. #17985972 | C22 | semidirect |
| 60. #17985771 | C22 | semidirect |
| 61. #17985770 | C22 | semidirect |
| 62. #17985760 | C22 | semidirect |
| 63. #17985758 | C22 | semidirect |
| 64. C2×H(5,𝔽2)×C71 | C22 | semidirect |
| 70. #421×C71 | C22 | semidirect |
| 71. #421×C71 | C22 | semidirect |
| 72. C2×#100×C71 | C22 | semidirect |
| 89. C2×#11765864 | D4 | semidirect |
| 94. C2×Q8×D71 | D4 | semidirect |
| 103. #14556158 | D4 | semidirect |
| 109. #14556153 | D4 | semidirect |
| 127. #14556126 | D4 | semidirect |
| 130. #14556124 | D4 | semidirect |
| 131. #14556117 | D4 | semidirect |
| 139. #14556115 | D4 | semidirect |
| 194. #137×C71 | D4 | semidirect |
| 198. AGL(1,ℤ/8)×C71 | D4 | semidirect |
| 533. #3019 | D71 | semidirect |
| 544. C71 | #23873 | semidirect |
| 547. C2×H(5,𝔽2) | C2×D71 | semidirect |
| 586. #421 | C2×D71 | semidirect |
| 587. #421 | C2×D71 | semidirect |
| 594. C2×#100 | C2×D71 | semidirect |
| 651. #137 | C22⋊D71 | semidirect |
| 660. AGL(1,ℤ/8) | C22⋊D71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22603124 | 2 |
| #22602128 | 2 |
| #22597741 | 2 |
| #22597697 | 2 |
| #22597686 | 2 |
| #22589401 | 2 |
| #22589397 | 2 |
| #22589371 | 2 |
| #22589367 | 2 |
| #22588884 | 2 |
| #22588843 | 2 |
| #22588839 | 2 |
| #22588720 | 2 |
| #22588314 | 2 |
| C71×#3019 | 2 |
| #23873 | 71 |