Finite Group DatabasebetaFinite Group DatabasebetaOrder 18176.
1096 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 1096 conjugacy classes of subgroups — too many to draw. Only its 137 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #22602752 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #22597744 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22597685 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #22590354 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22590351 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #22590338 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #22590336 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #22590335 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #22590002 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #22589992 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C71×#2198 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #17986834 | C22 | 1 | 1 | yes | characteristic |
| 13 | #17986795 | — | 2 | 1 | no | — |
| 14 | #17986752 | — | 2 | 1 | no | — |
| 15 | #17986752 | C22 | 1 | 2 | yes | complemented |
| 16 | #17986735 | C22 | 1 | 1 | yes | characteristic, complemented |
| 17 | Q8×Dic142 | — | 2 | 1 | no | — |
| 18 | #17986718 | — | 2 | 2 | no | — |
| 19 | D4×Dic142 | — | 2 | 2 | no | — |
| 20 | #17986618 | — | 2 | 2 | no | — |
| 21 | #17986614 | — | 2 | 2 | no | — |
| 22 | #17986571 | — | 2 | 1 | no | — |
| 23 | #17986571 | — | 2 | 2 | no | — |
| 24 | #17986571 | C22 | 1 | 2 | yes | — |
| 25 | #17986553 | — | 2 | 1 | no | — |
| 26 | #17986547 | C22 | 1 | 1 | yes | characteristic |
| 27 | #17986190 | — | 2 | 2 | no | — |
| 28 | #17986190 | C22 | 1 | 2 | yes | — |
| 29 | #17986189 | C22 | 1 | 2 | yes | — |
| 30 | #17986188 | — | 2 | 2 | no | — |
| 31 | #17986188 | C22 | 1 | 2 | yes | — |
| 32 | #17986183 | — | 2 | 1 | no | — |
| 33 | #17986179 | C22 | 1 | 1 | yes | characteristic |
| 34 | #17986177 | C22 | 1 | 1 | yes | characteristic |
| 35 | #17986170 | — | 2 | 1 | no | — |
| 36 | #17986166 | C22 | 1 | 1 | yes | characteristic |
| 37 | #104×D71 | — | 2 | 1 | no | — |
| 38 | #17985980 | C22 | 1 | 1 | yes | characteristic |
| 39 | #17985971 | — | 2 | 2 | no | — |
| 40 | #17985971 | C22 | 1 | 2 | yes | — |
| 41 | #17985793 | C22 | 1 | 2 | yes | complemented |
| 42 | #17985792 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #17985790 | C22 | 1 | 2 | yes | complemented |
| 44 | #17985789 | C22 | 1 | 2 | yes | complemented |
| 45 | #17985788 | C22 | 1 | 2 | yes | complemented |
| 46 | #559×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #458×C71 | C22 | 1 | 2 | yes | — |
| 48 | #453×C71 | C22 | 1 | 1 | yes | characteristic |
| 49 | #353×C71 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #352×C71 | C22 | 1 | 2 | yes | complemented |
| 51 | #14556175 | — | 2 | 1 | no | — |
| 52 | #14556175 | — | 4 | 1 | no | — |
| 53 | #14556173 | — | 2 | 2 | no | — |
| 54 | #14556173 | — | 4 | 1 | no | — |
| 55 | #14556173 | C23 | 1 | 1 | yes | characteristic |
| 56 | C2×#11765864 | — | 2 | 2 | no | — |
| 57 | C2×#11765864 | — | 4 | 1 | no | — |
| 58 | C2×#11765864 | D4 | 1 | 1 | yes | characteristic |
| 59 | C2×#11765864 | C23 | 1 | 1 | yes | characteristic |
| 60 | #41×D71 | — | 2 | 1 | no | — |
| 61 | #41×D71 | — | 4 | 1 | no | — |
| 62 | C22×Dic142 | — | 2 | 1 | no | — |
| 63 | C22×Dic142 | D4 | 1 | 2 | yes | — |
| 64 | #14556161 | — | 2 | 1 | no | — |
| 65 | #14556158 | — | 2 | 1 | no | — |
| 66 | #14556157 | — | 4 | 1 | no | — |
| 67 | #14556154 | — | 2 | 1 | no | — |
| 68 | #14556152 | — | 4 | 1 | no | — |
| 69 | #14556149 | — | 4 | 1 | no | — |
| 70 | #14556147 | — | 4 | 1 | no | — |
| 71 | M16×D71 | — | 2 | 1 | no | — |
| 72 | #14556128 | — | 2 | 2 | no | — |
| 73 | #14556128 | D4 | 1 | 1 | yes | characteristic |
| 74 | #14556127 | — | 2 | 2 | no | — |
| 75 | #14556127 | — | 2 | 1 | no | — |
| 76 | #14556127 | — | 2 | 2 | no | — |
| 77 | #14556127 | — | 2 | 2 | no | — |
| 78 | #14556127 | — | 4 | 2 | no | — |
| 79 | #14556126 | — | 2 | 1 | no | — |
| 80 | #14556121 | — | 2 | 2 | no | — |
| 81 | #14556121 | — | 2 | 2 | no | — |
| 82 | #14556121 | — | 2 | 2 | no | — |
| 83 | #14556121 | — | 2 | 2 | no | — |
| 84 | #14556118 | — | 2 | 2 | no | — |
| 85 | #14556115 | — | 2 | 2 | no | — |
| 86 | #14556115 | D4 | 1 | 1 | yes | characteristic |
| 87 | #14556115 | C23 | 1 | 1 | yes | characteristic |
| 88 | #14556114 | — | 2 | 2 | no | — |
| 89 | #14556114 | — | 2 | 2 | no | — |
| 90 | #14556114 | — | 4 | 2 | no | — |
| 91 | #14556112 | — | 2 | 1 | no | — |
| 92 | #14556112 | — | 2 | 2 | no | — |
| 93 | #14556112 | D4 | 1 | 2 | yes | — |
| 94 | #14556111 | — | 2 | 1 | no | — |
| 95 | #14556111 | — | 2 | 2 | no | — |
| 96 | #14556111 | D4 | 1 | 2 | yes | — |
| 97 | #14556109 | — | 2 | 2 | no | — |
| 98 | #14556109 | — | 2 | 1 | no | — |
| 99 | #14556109 | C23 | 1 | 2 | yes | — |
| 100 | #14556108 | — | 2 | 1 | no | — |
| 101 | #14556107 | — | 2 | 2 | no | — |
| 102 | #14556107 | — | 2 | 2 | no | — |
| 103 | #14556106 | — | 2 | 2 | no | — |
| 104 | #14556106 | — | 4 | 2 | no | — |
| 105 | #14556105 | — | 2 | 2 | no | — |
| 106 | #14556105 | — | 2 | 2 | no | — |
| 107 | #14556105 | — | 2 | 2 | no | — |
| 108 | #14556105 | — | 2 | 2 | no | — |
| 109 | #14556105 | — | 4 | 2 | no | — |
| 110 | #14556104 | — | 2 | 1 | no | — |
| 111 | #14556099 | — | 2 | 2 | no | — |
| 112 | Q8×Dic71 | — | 2 | 2 | no | — |
| 113 | C4×Dic142 | — | 2 | 2 | no | — |
| 114 | C4×Dic142 | — | 2 | 2 | no | — |
| 115 | C4×Dic142 | — | 2 | 1 | no | — |
| 116 | D4×Dic71 | — | 2 | 2 | no | — |
| 117 | D4×Dic71 | — | 2 | 2 | no | — |
| 118 | #14556085 | — | 2 | 2 | no | — |
| 119 | #14556084 | — | 2 | 1 | no | — |
| 120 | #14556084 | — | 2 | 2 | no | — |
| 121 | #14556084 | D4 | 1 | 2 | yes | — |
| 122 | C42×D71 | D4 | 1 | 1 | yes | characteristic |
| 123 | #14556056 | — | 2 | 1 | no | — |
| 124 | #14556055 | — | 2 | 1 | no | — |
| 125 | #14556054 | — | 2 | 1 | no | — |
| 126 | #14556046 | — | 2 | 1 | no | — |
| 127 | #14556045 | C23 | 1 | 1 | yes | characteristic |
| 128 | #14556043 | — | 2 | 2 | no | — |
| 129 | #14556043 | C23 | 1 | 2 | yes | — |
| 130 | #14556042 | — | 2 | 2 | no | — |
| 131 | #14556042 | — | 2 | 2 | no | — |
| 132 | #14556042 | — | 2 | 2 | no | — |
| 133 | H(5,𝔽2)×C71 | C23 | 1 | 1 | yes | characteristic |
| 134 | AGL(1,ℤ/8)×C71 | — | 2 | 1 | no | — |
| 135 | #127×C71 | C23 | 1 | 1 | yes | characteristic |
| 136 | #124×C71 | — | 2 | 2 | no | — |
| 137 | #123×C71 | — | 2 | 1 | no | — |
| 138 | #123×C71 | — | 2 | 2 | no | — |
| 139 | #123×C71 | C23 | 1 | 2 | yes | — |
| 140 | C4×Q8×C71 | — | 2 | 1 | no | — |
| 141 | C4×D4×C71 | — | 2 | 2 | no | — |
| 142 | #104×C71 | — | 2 | 1 | no | — |
| 143 | #100×C71 | C23 | 1 | 1 | yes | characteristic |
| 144 | #99×C71 | — | 2 | 2 | no | — |
| 145 | #99×C71 | C23 | 1 | 2 | yes | — |
| 146 | #11765866 | — | 2 | 1 | no | — |
| 147 | #11765865 | — | 2 | 1 | no | — |
| 148 | #11765865 | — | 4 | 1 | no | — |
| 149 | #11765865 | — | 4 | 1 | no | — |
| 150 | #11765865 | — | 4 | 2 | no | — |
| 151 | #11765864 | — | 2 | 1 | no | — |
| 152 | #11765864 | — | 4 | 1 | no | — |
| 153 | #11765864 | — | 4 | 1 | no | — |
| 154 | #11765864 | — | 4 | 1 | no | — |
| 155 | #11765864 | — | 4 | 1 | no | — |
| 156 | #11765864 | — | 4 | 1 | no | — |
| 157 | #11765864 | — | 4 | 2 | no | — |
| 158 | #11765864 | — | 4 | 2 | no | — |
| 159 | #11765864 | — | 4 | 2 | no | — |
| 160 | #11765864 | — | 4 | 1 | no | — |
| 161 | #11765864 | — | 4 | 1 | no | — |
| 162 | #11765864 | — | 4 | 2 | no | — |
| 163 | C2×Dic142 | — | 2 | 2 | no | — |
| 164 | C2×Dic142 | — | 2 | 1 | no | — |
| 165 | C2×Dic142 | — | 2 | 2 | no | — |
| 166 | C2×Dic142 | — | 2 | 2 | no | — |
| 167 | C2×Dic142 | — | 2 | 2 | no | — |
| 168 | C2×Dic142 | — | 4 | 1 | no | — |
| 169 | C2×Dic142 | — | 4 | 2 | no | — |
| 170 | C2×Dic142 | — | 4 | 2 | no | — |
| 171 | C2×Dic142 | — | 8 | 1 | no | — |
| 172 | C2×Dic142 | — | 8 | 1 | no | — |
| 173 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 174 | C2×Dic142 | C2×D4 | 1 | 1 | yes | characteristic |
| 175 | Q8×D71 | — | 2 | 1 | no | — |
| 176 | Q8×D71 | — | 4 | 1 | no | — |
| 177 | C2×C22⋊D71 | — | 2 | 2 | no | — |
| 178 | C2×C22⋊D71 | — | 2 | 2 | no | — |
| 179 | C2×C22⋊D71 | — | 2 | 1 | no | — |
| 180 | C2×C22⋊D71 | — | 4 | 2 | no | — |
| 181 | C2×C22⋊D71 | C2×D4 | 1 | 2 | yes | — |
| 182 | D4×D71 | — | 2 | 1 | no | — |
| 183 | D4×D71 | — | 4 | 1 | no | — |
| 184 | D4×D71 | — | 4 | 2 | no | — |
| 185 | D4×D71 | — | 4 | 1 | no | — |
| 186 | C22×Dic71 | — | 2 | 2 | no | — |
| 187 | C22×Dic71 | — | 2 | 1 | no | — |
| 188 | C22×Dic71 | — | 2 | 1 | no | — |
| 189 | C22×Dic71 | C2×D4 | 1 | 2 | yes | — |
| 190 | C22×Dic71 | C2×D4 | 1 | 2 | yes | — |
| 191 | C2×C4×D71 | — | 2 | 2 | no | — |
| 192 | C2×C4×D71 | — | 2 | 1 | no | — |
| 193 | C2×C4×D71 | — | 4 | 1 | no | — |
| 194 | C2×C4×D71 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | Dic284 | — | 4 | 1 | no | — |
| 196 | #11765855 | — | 4 | 1 | no | — |
| 197 | #11765854 | — | 4 | 1 | no | — |
| 198 | #11765853 | — | 4 | 1 | no | — |
| 199 | #11765853 | — | 4 | 1 | no | — |
| 200 | #11765850 | — | 4 | 1 | no | — |
| 201 | #11765849 | — | 2 | 1 | no | — |
| 202 | #11765848 | — | 4 | 1 | no | — |
| 203 | C8×D71 | — | 4 | 1 | no | — |
| 204 | C4⋊Dic71 | — | 2 | 1 | no | — |
| 205 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 206 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 207 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 208 | C4⋊Dic71 | — | 2 | 2 | no | — |
| 209 | C4⋊Dic71 | — | 4 | 2 | no | — |
| 210 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 211 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 212 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 213 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 214 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 215 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 216 | Dic71⋊C4 | — | 2 | 2 | no | — |
| 217 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 218 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 219 | Dic71⋊C4 | — | 4 | 2 | no | — |
| 220 | C22⋊Dic71 | — | 2 | 1 | no | — |
| 221 | C22⋊Dic71 | — | 2 | 2 | no | — |
| 222 | C22⋊Dic71 | — | 2 | 2 | no | — |
| 223 | C22⋊Dic71 | — | 2 | 2 | no | — |
| 224 | C22⋊Dic71 | — | 2 | 2 | no | — |
| 225 | C22⋊Dic71 | — | 2 | 2 | no | — |
| 226 | C22⋊Dic71 | — | 4 | 2 | no | — |
| 227 | C22⋊Dic71 | C2×D4 | 1 | 2 | yes | — |
| 228 | (C2×D71)⋊C4 | — | 2 | 2 | no | — |
| 229 | (C2×D71)⋊C4 | — | 2 | 2 | no | — |
| 230 | (C2×D71)⋊C4 | — | 4 | 2 | no | — |
| 231 | (C2×D71)⋊C4 | — | 4 | 2 | no | — |
| 232 | C4×Dic71 | — | 2 | 2 | no | — |
| 233 | C4×Dic71 | — | 2 | 2 | no | — |
| 234 | C4×Dic71 | — | 2 | 1 | no | — |
| 235 | C4×Dic71 | — | 2 | 2 | no | — |
| 236 | C4×Dic71 | — | 4 | 2 | no | — |
| 237 | C4×Dic71 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | #41×C71 | — | 2 | 1 | no | — |
| 239 | #41×C71 | — | 4 | 1 | no | — |
| 240 | C2×Q8×C71 | — | 2 | 1 | no | — |
| 241 | C2×D4×C71 | — | 2 | 2 | no | — |
| 242 | C2×D4×C71 | — | 2 | 2 | no | — |
| 243 | C2×D4×C71 | — | 4 | 1 | no | — |
| 244 | C2×D4×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 245 | C2×D4×C71 | C24 | 1 | 1 | yes | characteristic |
| 246 | C22×C4×C71 | — | 2 | 1 | no | — |
| 247 | C22×C4×C71 | C2×D4 | 1 | 2 | yes | — |
| 248 | SD16×C71 | — | 4 | 1 | no | — |
| 249 | D8×C71 | — | 4 | 1 | no | — |
| 250 | M16×C71 | — | 2 | 1 | no | — |
| 251 | C4⋊C4×C71 | — | 2 | 1 | no | — |
| 252 | C4⋊C4×C71 | — | 2 | 2 | no | — |
| 253 | C4⋊C4×C71 | — | 4 | 2 | no | — |
| 254 | C22⋊C4×C71 | — | 2 | 2 | no | — |
| 255 | C22⋊C4×C71 | — | 2 | 1 | no | — |
| 256 | C22⋊C4×C71 | — | 2 | 2 | no | — |
| 257 | C22⋊C4×C71 | — | 2 | 2 | no | — |
| 258 | C22⋊C4×C71 | — | 4 | 2 | no | — |
| 259 | C22⋊C4×C71 | C2×D4 | 1 | 2 | yes | — |
| 260 | C42×C71 | — | 2 | 2 | no | — |
| 261 | C42×C71 | C2×D4 | 1 | 1 | yes | characteristic |
| 262 | C23×C71 | — | 2 | 2 | no | — |
| 263 | C23×C71 | — | 2 | 1 | no | — |
| 264 | C23×C71 | C22×D4 | 1 | 2 | yes | — |
| 265 | C22×D71 | — | 2 | 2 | no | — |
| 266 | C22×D71 | — | 4 | 1 | no | — |
| 267 | C22×D71 | #120 | 1 | 1 | yes | characteristic |
| 268 | Q8×C71 | — | 2 | 1 | no | — |
| 269 | Q8×C71 | — | 4 | 2 | no | — |
| 270 | D4×C71 | — | 2 | 1 | no | — |
| 271 | D4×C71 | — | 4 | 1 | no | — |
| 272 | D4×C71 | — | 4 | 1 | no | — |
| 273 | D4×C71 | — | 4 | 4 | no | — |
| 274 | D4×C71 | — | 4 | 2 | no | — |
| 275 | D4×C71 | — | 4 | 1 | no | — |
| 276 | C2×C4×C71 | — | 2 | 1 | no | — |
| 277 | C2×C4×C71 | — | 2 | 2 | no | — |
| 278 | C2×C4×C71 | — | 2 | 2 | no | — |
| 279 | C2×C4×C71 | — | 2 | 2 | no | — |
| 280 | C2×C4×C71 | — | 4 | 1 | no | — |
| 281 | C2×C4×C71 | — | 4 | 2 | no | — |
| 282 | C2×C4×C71 | — | 4 | 2 | no | — |
| 283 | C2×C4×C71 | — | 8 | 1 | no | — |
| 284 | C2×C4×C71 | C22×D4 | 1 | 1 | yes | characteristic |
| 285 | C22⋊D71 | — | 4 | 2 | no | — |
| 286 | C22⋊D71 | — | 4 | 2 | no | — |
| 287 | C22⋊D71 | — | 4 | 1 | no | — |
| 288 | C22⋊D71 | — | 4 | 2 | no | — |
| 289 | C22⋊D71 | — | 4 | 1 | no | — |
| 290 | C22⋊D71 | — | 4 | 1 | no | — |
| 291 | C22⋊D71 | — | 8 | 1 | no | — |
| 292 | C2×Dic71 | — | 2 | 2 | no | — |
| 293 | C2×Dic71 | — | 2 | 2 | no | — |
| 294 | C2×Dic71 | — | 2 | 2 | no | — |
| 295 | C2×Dic71 | — | 2 | 2 | no | — |
| 296 | C2×Dic71 | — | 2 | 1 | no | — |
| 297 | C2×Dic71 | — | 2 | 1 | no | — |
| 298 | C2×Dic71 | — | 2 | 2 | no | — |
| 299 | C2×Dic71 | — | 4 | 2 | no | — |
| 300 | C2×Dic71 | — | 4 | 1 | no | — |
| 301 | C2×Dic71 | — | 4 | 1 | no | — |
| 302 | C2×Dic71 | — | 4 | 1 | no | — |
| 303 | C2×Dic71 | — | 4 | 2 | no | — |
| 304 | C2×Dic71 | — | 4 | 2 | no | — |
| 305 | C2×Dic71 | — | 8 | 1 | no | — |
| 306 | C2×Dic71 | #120 | 1 | 2 | yes | — |
| 307 | C2×Dic71 | #120 | 1 | 1 | yes | characteristic |
| 308 | D284 | — | 2 | 1 | no | — |
| 309 | D284 | — | 4 | 1 | no | — |
| 310 | C4×D71 | — | 2 | 1 | no | — |
| 311 | C4×D71 | — | 2 | 1 | no | — |
| 312 | C4×D71 | — | 4 | 2 | no | — |
| 313 | C4×D71 | — | 4 | 2 | no | — |
| 314 | C4×D71 | — | 4 | 1 | no | — |
| 315 | C4×D71 | — | 4 | 1 | no | — |
| 316 | C4×D71 | — | 4 | 1 | no | — |
| 317 | Dic142 | — | 2 | 1 | no | — |
| 318 | Dic142 | — | 4 | 1 | no | — |
| 319 | Dic142 | — | 4 | 2 | no | — |
| 320 | Dic142 | — | 4 | 2 | no | — |
| 321 | Dic142 | — | 4 | 1 | no | — |
| 322 | Dic142 | — | 4 | 2 | no | — |
| 323 | Dic142 | — | 4 | 2 | no | — |
| 324 | Dic142 | — | 4 | 1 | no | — |
| 325 | Dic142 | — | 8 | 2 | no | — |
| 326 | Dic142 | — | 8 | 2 | no | — |
| 327 | C8×C71 | — | 4 | 1 | no | — |
| 328 | C71⋊C8 | — | 4 | 1 | no | — |
| 329 | C22×C71 | — | 2 | 2 | no | — |
| 330 | C22×C71 | — | 4 | 2 | no | — |
| 331 | C22×C71 | — | 4 | 2 | no | — |
| 332 | C22×C71 | — | 4 | 1 | no | — |
| 333 | C22×C71 | — | 4 | 1 | no | — |
| 334 | C22×C71 | — | 8 | 2 | no | — |
| 335 | C22×C71 | C2×#120 | 1 | 1 | yes | characteristic |
| 336 | C2×D71 | — | 2 | 1 | no | — |
| 337 | C2×D71 | — | 4 | 1 | no | — |
| 338 | C2×D71 | — | 4 | 1 | no | — |
| 339 | C2×D71 | — | 8 | 2 | no | — |
| 340 | C2×D71 | — | 16 | 1 | no | — |
| 341 | C4×C71 | — | 2 | 2 | no | — |
| 342 | C4×C71 | — | 2 | 1 | no | — |
| 343 | C4×C71 | — | 4 | 2 | no | — |
| 344 | C4×C71 | — | 4 | 1 | no | — |
| 345 | C4×C71 | — | 4 | 2 | no | — |
| 346 | C4×C71 | — | 8 | 2 | no | — |
| 347 | Dic71 | — | 2 | 2 | no | — |
| 348 | Dic71 | — | 4 | 2 | no | — |
| 349 | Dic71 | — | 4 | 1 | no | — |
| 350 | Dic71 | — | 4 | 1 | no | — |
| 351 | Dic71 | — | 4 | 2 | no | — |
| 352 | Dic71 | — | 4 | 1 | no | — |
| 353 | Dic71 | — | 8 | 2 | no | — |
| 354 | Dic71 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 355 | Dic71 | B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 356 | #33561 | — | 71 | 1 | no | maximal, Sylow |
| 357 | C2×C71 | — | 2 | 1 | no | — |
| 358 | C2×C71 | — | 4 | 2 | no | — |
| 359 | C2×C71 | — | 8 | 1 | no | — |
| 360 | C2×C71 | — | 8 | 1 | no | — |
| 361 | C2×C71 | C2×B(4,𝔽2) | 1 | 1 | yes | characteristic |
| 362 | D71 | — | 4 | 1 | no | — |
| 363 | D71 | — | 8 | 1 | no | — |
| 364 | #3550 | — | 71 | 1 | no | — |
| 365 | #3028 | — | 71 | 2 | no | — |
| 366 | #3018 | — | 71 | 1 | no | — |
| 367 | #2201 | — | 71 | 2 | no | — |
| 368 | #2201 | — | 71 | 2 | no | — |
| 369 | #2198 | — | 71 | 1 | no | — |
| 370 | #2198 | — | 71 | 1 | no | — |
| 371 | #2198 | — | 71 | 1 | no | — |
| 372 | #2198 | D71 | 1 | 1 | yes | characteristic, complemented |
| 373 | #2126 | — | 71 | 1 | no | — |
| 374 | #2123 | — | 71 | 2 | no | — |
| 375 | C71 | #33561 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 376 | #585 | — | 71 | 1 | no | — |
| 377 | #575 | — | 142 | 1 | no | — |
| 378 | #563 | — | 71 | 2 | no | — |
| 379 | #563 | — | 142 | 1 | no | — |
| 380 | #559 | — | 71 | 1 | no | — |
| 381 | #559 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 382 | Q82 | — | 142 | 1 | no | — |
| 383 | #556 | — | 142 | 2 | no | — |
| 384 | D4×Q8 | — | 142 | 2 | no | — |
| 385 | #542 | — | 142 | 2 | no | — |
| 386 | #542 | — | 142 | 2 | no | — |
| 387 | #536 | — | 71 | 2 | no | — |
| 388 | #536 | — | 142 | 2 | no | — |
| 389 | #536 | — | 142 | 1 | no | — |
| 390 | #533 | — | 142 | 1 | no | — |
| 391 | #532 | — | 71 | 1 | no | — |
| 392 | #458 | — | 71 | 2 | no | — |
| 393 | #458 | — | 71 | 2 | no | — |
| 394 | #458 | — | 71 | 2 | no | — |
| 395 | #458 | — | 142 | 2 | no | — |
| 396 | #458 | — | 142 | 2 | no | — |
| 397 | #458 | C2×D71 | 1 | 2 | yes | — |
| 398 | #456 | — | 142 | 1 | no | — |
| 399 | #455 | — | 71 | 1 | no | — |
| 400 | #455 | — | 71 | 1 | no | — |
| 401 | #454 | — | 142 | 1 | no | — |
| 402 | #453 | — | 71 | 1 | no | — |
| 403 | #453 | C2×D71 | 1 | 1 | yes | characteristic |
| 404 | C2×#104 | — | 142 | 1 | no | — |
| 405 | #413 | — | 71 | 1 | no | — |
| 406 | #410 | — | 71 | 2 | no | — |
| 407 | #410 | — | 142 | 2 | no | — |
| 408 | #354 | — | 71 | 2 | no | — |
| 409 | #353 | — | 71 | 1 | no | — |
| 410 | #353 | C2×D71 | 1 | 1 | yes | characteristic, complemented |
| 411 | #352 | — | 71 | 2 | no | — |
| 412 | #352 | — | 71 | 2 | no | — |
| 413 | #352 | — | 71 | 2 | no | — |
| 414 | #352 | C2×D71 | 1 | 2 | yes | complemented |
| 415 | 2−1+4 | — | 284 | 1 | no | — |
| 416 | 2−1+4 | — | 142 | 1 | no | — |
| 417 | H(5,𝔽2) | — | 284 | 1 | no | — |
| 418 | H(5,𝔽2) | — | 71 | 1 | no | — |
| 419 | H(5,𝔽2) | — | 142 | 2 | no | — |
| 420 | H(5,𝔽2) | C22×D71 | 1 | 1 | yes | characteristic |
| 421 | C2×#41 | — | 284 | 1 | no | — |
| 422 | C2×#41 | — | 284 | 1 | no | — |
| 423 | C2×#41 | — | 71 | 1 | no | — |
| 424 | C2×#41 | — | 71 | 1 | no | — |
| 425 | C2×#41 | — | 142 | 1 | no | — |
| 426 | C2×#41 | — | 142 | 2 | no | — |
| 427 | C22×Q8 | — | 71 | 2 | no | — |
| 428 | C22×Q8 | — | 142 | 1 | no | — |
| 429 | #137 | — | 284 | 1 | no | — |
| 430 | #137 | — | 142 | 1 | no | — |
| 431 | #137 | — | 142 | 1 | no | — |
| 432 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 433 | AGL(1,ℤ/8) | — | 284 | 1 | no | — |
| 434 | AGL(1,ℤ/8) | — | 142 | 1 | no | — |
| 435 | #135 | — | 284 | 1 | no | — |
| 436 | #135 | — | 284 | 1 | no | — |
| 437 | C2×M16 | — | 142 | 1 | no | — |
| 438 | C4⋊Q8 | — | 284 | 2 | no | — |
| 439 | C4⋊Q8 | — | 71 | 1 | no | — |
| 440 | C4⋊Q8 | — | 142 | 2 | no | — |
| 441 | C4⋊Q8 | — | 142 | 2 | no | — |
| 442 | C4⋊Q8 | — | 142 | 2 | no | — |
| 443 | C4⋊Q8 | — | 142 | 1 | no | — |
| 444 | C4⋊Q8 | — | 142 | 2 | no | — |
| 445 | C4⋊Q8 | — | 142 | 1 | no | — |
| 446 | #127 | C22×D71 | 1 | 1 | yes | characteristic |
| 447 | #126 | — | 142 | 2 | no | — |
| 448 | #126 | — | 142 | 2 | no | — |
| 449 | #126 | — | 142 | 2 | no | — |
| 450 | #126 | — | 142 | 2 | no | — |
| 451 | #125 | — | 142 | 2 | no | — |
| 452 | #124 | — | 2 | 2 | no | — |
| 453 | #124 | — | 284 | 2 | no | — |
| 454 | #124 | — | 71 | 1 | no | — |
| 455 | #124 | — | 71 | 1 | no | — |
| 456 | #124 | — | 142 | 2 | no | — |
| 457 | #124 | — | 142 | 2 | no | — |
| 458 | #124 | — | 142 | 2 | no | — |
| 459 | #123 | — | 2 | 1 | no | — |
| 460 | #123 | — | 2 | 2 | no | — |
| 461 | #123 | — | 71 | 2 | no | — |
| 462 | #123 | — | 71 | 2 | no | — |
| 463 | #123 | — | 71 | 2 | no | — |
| 464 | #123 | — | 142 | 2 | no | — |
| 465 | #123 | — | 142 | 1 | no | — |
| 466 | #123 | — | 142 | 2 | no | — |
| 467 | #123 | — | 142 | 2 | no | — |
| 468 | #123 | — | 142 | 1 | no | — |
| 469 | #123 | — | 142 | 1 | no | — |
| 470 | #123 | C22×D71 | 1 | 2 | yes | — |
| 471 | C22⋊Q8 | — | 284 | 2 | no | — |
| 472 | C22⋊Q8 | — | 284 | 2 | no | — |
| 473 | C22⋊Q8 | — | 142 | 2 | no | — |
| 474 | C22⋊Q8 | — | 142 | 2 | no | — |
| 475 | C22⋊Q8 | — | 142 | 2 | no | — |
| 476 | C22⋊Q8 | — | 142 | 2 | no | — |
| 477 | C22⋊Q8 | — | 142 | 2 | no | — |
| 478 | C22⋊Q8 | — | 142 | 1 | no | — |
| 479 | C22⋊Q8 | — | 142 | 2 | no | — |
| 480 | C22⋊Q8 | — | 142 | 1 | no | — |
| 481 | C22⋊Q8 | — | 142 | 2 | no | — |
| 482 | #121 | — | 142 | 2 | no | — |
| 483 | C4×Q8 | — | 2 | 1 | no | — |
| 484 | C4×Q8 | — | 142 | 2 | no | — |
| 485 | C4×Q8 | — | 142 | 2 | no | — |
| 486 | C4×Q8 | — | 142 | 2 | no | — |
| 487 | C4×Q8 | — | 142 | 1 | no | — |
| 488 | C4×D4 | — | 2 | 2 | no | — |
| 489 | C4×D4 | — | 142 | 2 | no | — |
| 490 | C4×D4 | — | 142 | 2 | no | — |
| 491 | #117 | — | 71 | 2 | no | — |
| 492 | #117 | — | 142 | 2 | no | — |
| 493 | #117 | — | 142 | 2 | no | — |
| 494 | #117 | — | 142 | 1 | no | — |
| 495 | C2×C42 | — | 71 | 1 | no | — |
| 496 | #104 | — | 2 | 1 | no | — |
| 497 | #104 | — | 142 | 1 | no | — |
| 498 | #104 | — | 142 | 1 | no | — |
| 499 | #104 | — | 142 | 1 | no | — |
| 500 | #101 | — | 142 | 1 | no | — |
| 501 | #100 | — | 71 | 1 | no | — |
| 502 | #100 | C22×D71 | 1 | 1 | yes | characteristic |
| 503 | #99 | — | 2 | 2 | no | — |
| 504 | #99 | — | 71 | 2 | no | — |
| 505 | #99 | — | 142 | 2 | no | — |
| 506 | #99 | — | 142 | 2 | no | — |
| 507 | #99 | — | 142 | 2 | no | — |
| 508 | #99 | — | 142 | 2 | no | — |
| 509 | #99 | C22×D71 | 1 | 2 | yes | — |
| 510 | #41 | — | 2 | 1 | no | — |
| 511 | #41 | — | 4 | 1 | no | — |
| 512 | #41 | — | 284 | 2 | no | — |
| 513 | #41 | — | 284 | 1 | no | — |
| 514 | #41 | — | 284 | 1 | no | — |
| 515 | #41 | — | 284 | 1 | no | — |
| 516 | #41 | — | 284 | 1 | no | — |
| 517 | #41 | — | 284 | 2 | no | — |
| 518 | #41 | — | 284 | 2 | no | — |
| 519 | #41 | — | 284 | 2 | no | — |
| 520 | #41 | — | 284 | 2 | no | — |
| 521 | #41 | — | 284 | 1 | no | — |
| 522 | #41 | — | 284 | 1 | no | — |
| 523 | #41 | — | 284 | 1 | no | — |
| 524 | #41 | — | 284 | 1 | no | — |
| 525 | #41 | — | 284 | 1 | no | — |
| 526 | #41 | — | 142 | 1 | no | — |
| 527 | #41 | — | 142 | 1 | no | — |
| 528 | #41 | — | 142 | 1 | no | — |
| 529 | C2×Q8 | — | 2 | 1 | no | — |
| 530 | C2×Q8 | — | 284 | 1 | no | — |
| 531 | C2×Q8 | — | 284 | 2 | no | — |
| 532 | C2×Q8 | — | 284 | 2 | no | — |
| 533 | C2×Q8 | — | 284 | 1 | no | — |
| 534 | C2×Q8 | — | 568 | 1 | no | — |
| 535 | C2×Q8 | — | 568 | 1 | no | — |
| 536 | C2×Q8 | — | 71 | 1 | no | — |
| 537 | C2×Q8 | — | 71 | 1 | no | — |
| 538 | C2×Q8 | — | 142 | 2 | no | — |
| 539 | C2×Q8 | — | 142 | 2 | no | — |
| 540 | C2×Q8 | — | 142 | 1 | no | — |
| 541 | C2×Q8 | — | 142 | 2 | no | — |
| 542 | C2×Q8 | — | 142 | 2 | no | — |
| 543 | C2×Q8 | — | 142 | 1 | no | — |
| 544 | C2×D4 | — | 2 | 2 | no | — |
| 545 | C2×D4 | — | 2 | 2 | no | — |
| 546 | C2×D4 | — | 4 | 1 | no | — |
| 547 | C2×D4 | — | 284 | 1 | no | — |
| 548 | C2×D4 | — | 284 | 2 | no | — |
| 549 | C2×D4 | — | 284 | 1 | no | — |
| 550 | C2×D4 | — | 284 | 2 | no | — |
| 551 | C2×D4 | — | 71 | 2 | no | — |
| 552 | C2×D4 | — | 142 | 1 | no | — |
| 553 | C2×D4 | — | 142 | 2 | no | — |
| 554 | C2×D4 | — | 142 | 2 | no | — |
| 555 | C2×D4 | — | 142 | 1 | no | — |
| 556 | C2×D4 | D4×D71 | 1 | 1 | yes | characteristic |
| 557 | C2×D4 | C23×D71 | 1 | 1 | yes | characteristic |
| 558 | C22×C4 | — | 2 | 1 | no | — |
| 559 | C22×C4 | — | 284 | 1 | no | — |
| 560 | C22×C4 | — | 71 | 2 | no | — |
| 561 | C22×C4 | — | 71 | 2 | no | — |
| 562 | C22×C4 | — | 71 | 1 | no | — |
| 563 | C22×C4 | — | 142 | 1 | no | — |
| 564 | C22×C4 | — | 142 | 2 | no | — |
| 565 | C22×C4 | — | 142 | 1 | no | — |
| 566 | C22×C4 | — | 142 | 2 | no | — |
| 567 | C22×C4 | — | 142 | 1 | no | — |
| 568 | C22×C4 | D4×D71 | 1 | 2 | yes | — |
| 569 | Q16 | — | 284 | 1 | no | — |
| 570 | Q16 | — | 284 | 1 | no | — |
| 571 | SD16 | — | 4 | 1 | no | — |
| 572 | SD16 | — | 284 | 1 | no | — |
| 573 | SD16 | — | 284 | 1 | no | — |
| 574 | SD16 | — | 284 | 1 | no | — |
| 575 | D8 | — | 4 | 1 | no | — |
| 576 | D8 | — | 284 | 1 | no | — |
| 577 | M16 | — | 2 | 1 | no | — |
| 578 | M16 | — | 284 | 1 | no | — |
| 579 | M16 | — | 142 | 1 | no | — |
| 580 | C2×C8 | — | 284 | 1 | no | — |
| 581 | C4⋊C4 | — | 2 | 1 | no | — |
| 582 | C4⋊C4 | — | 2 | 2 | no | — |
| 583 | C4⋊C4 | — | 4 | 2 | no | — |
| 584 | C4⋊C4 | — | 284 | 2 | no | — |
| 585 | C4⋊C4 | — | 284 | 2 | no | — |
| 586 | C4⋊C4 | — | 284 | 2 | no | — |
| 587 | C4⋊C4 | — | 284 | 2 | no | — |
| 588 | C4⋊C4 | — | 142 | 2 | no | — |
| 589 | C4⋊C4 | — | 142 | 2 | no | — |
| 590 | C4⋊C4 | — | 142 | 2 | no | — |
| 591 | C4⋊C4 | — | 142 | 2 | no | — |
| 592 | C4⋊C4 | — | 142 | 2 | no | — |
| 593 | C4⋊C4 | — | 142 | 2 | no | — |
| 594 | C4⋊C4 | — | 142 | 2 | no | — |
| 595 | C4⋊C4 | — | 142 | 2 | no | — |
| 596 | C4⋊C4 | — | 142 | 1 | no | — |
| 597 | C4⋊C4 | — | 142 | 2 | no | — |
| 598 | C4⋊C4 | — | 142 | 2 | no | — |
| 599 | C4⋊C4 | — | 142 | 2 | no | — |
| 600 | C22⋊C4 | — | 2 | 1 | no | — |
| 601 | C22⋊C4 | — | 2 | 2 | no | — |
| 602 | C22⋊C4 | — | 2 | 2 | no | — |
| 603 | C22⋊C4 | — | 2 | 2 | no | — |
| 604 | C22⋊C4 | — | 4 | 2 | no | — |
| 605 | C22⋊C4 | — | 284 | 2 | no | — |
| 606 | C22⋊C4 | — | 284 | 2 | no | — |
| 607 | C22⋊C4 | — | 284 | 2 | no | — |
| 608 | C22⋊C4 | — | 71 | 2 | no | — |
| 609 | C22⋊C4 | — | 142 | 2 | no | — |
| 610 | C22⋊C4 | — | 142 | 2 | no | — |
| 611 | C22⋊C4 | — | 142 | 2 | no | — |
| 612 | C22⋊C4 | — | 142 | 2 | no | — |
| 613 | C22⋊C4 | — | 142 | 1 | no | — |
| 614 | C22⋊C4 | — | 142 | 2 | no | — |
| 615 | C22⋊C4 | — | 142 | 2 | no | — |
| 616 | C22⋊C4 | — | 142 | 2 | no | — |
| 617 | C22⋊C4 | D4×D71 | 1 | 2 | yes | — |
| 618 | C42 | — | 2 | 2 | no | — |
| 619 | C42 | — | 284 | 2 | no | — |
| 620 | C42 | — | 71 | 1 | no | — |
| 621 | C42 | — | 142 | 1 | no | — |
| 622 | C42 | — | 142 | 2 | no | — |
| 623 | C42 | — | 142 | 2 | no | — |
| 624 | C42 | — | 142 | 2 | no | — |
| 625 | C42 | D4×D71 | 1 | 1 | yes | characteristic |
| 626 | C23 | — | 2 | 2 | no | — |
| 627 | C23 | — | 2 | 1 | no | — |
| 628 | C23 | — | 284 | 1 | no | — |
| 629 | C23 | — | 71 | 1 | no | — |
| 630 | C23 | — | 142 | 2 | no | — |
| 631 | C23 | C2×D4×D71 | 1 | 2 | yes | — |
| 632 | Q8 | — | 2 | 1 | no | — |
| 633 | Q8 | — | 4 | 2 | no | — |
| 634 | Q8 | — | 284 | 1 | no | — |
| 635 | Q8 | — | 284 | 2 | no | — |
| 636 | Q8 | — | 284 | 1 | no | — |
| 637 | Q8 | — | 284 | 2 | no | — |
| 638 | Q8 | — | 284 | 2 | no | — |
| 639 | Q8 | — | 284 | 1 | no | — |
| 640 | Q8 | — | 284 | 2 | no | — |
| 641 | Q8 | — | 568 | 2 | no | — |
| 642 | Q8 | — | 568 | 2 | no | — |
| 643 | Q8 | — | 142 | 1 | no | — |
| 644 | D4 | — | 2 | 1 | no | — |
| 645 | D4 | — | 4 | 1 | no | — |
| 646 | D4 | — | 4 | 1 | no | — |
| 647 | D4 | — | 4 | 4 | no | — |
| 648 | D4 | — | 4 | 2 | no | — |
| 649 | D4 | — | 4 | 1 | no | — |
| 650 | D4 | — | 284 | 1 | no | — |
| 651 | D4 | — | 284 | 2 | no | — |
| 652 | D4 | — | 284 | 1 | no | — |
| 653 | D4 | — | 284 | 1 | no | — |
| 654 | D4 | — | 284 | 1 | no | — |
| 655 | D4 | — | 284 | 2 | no | — |
| 656 | D4 | — | 284 | 2 | no | — |
| 657 | D4 | — | 568 | 1 | no | — |
| 658 | D4 | — | 142 | 1 | no | — |
| 659 | C2×C4 | — | 2 | 1 | no | — |
| 660 | C2×C4 | — | 2 | 2 | no | — |
| 661 | C2×C4 | — | 2 | 2 | no | — |
| 662 | C2×C4 | — | 2 | 2 | no | — |
| 663 | C2×C4 | — | 4 | 1 | no | — |
| 664 | C2×C4 | — | 4 | 2 | no | — |
| 665 | C2×C4 | — | 4 | 2 | no | — |
| 666 | C2×C4 | — | 8 | 1 | no | — |
| 667 | C2×C4 | — | 284 | 1 | no | — |
| 668 | C2×C4 | — | 284 | 2 | no | — |
| 669 | C2×C4 | — | 284 | 1 | no | — |
| 670 | C2×C4 | — | 284 | 1 | no | — |
| 671 | C2×C4 | — | 284 | 2 | no | — |
| 672 | C2×C4 | — | 284 | 1 | no | — |
| 673 | C2×C4 | — | 284 | 1 | no | — |
| 674 | C2×C4 | — | 284 | 1 | no | — |
| 675 | C2×C4 | — | 284 | 2 | no | — |
| 676 | C2×C4 | — | 284 | 2 | no | — |
| 677 | C2×C4 | — | 284 | 2 | no | — |
| 678 | C2×C4 | — | 568 | 1 | no | — |
| 679 | C2×C4 | — | 71 | 1 | no | — |
| 680 | C2×C4 | — | 71 | 2 | no | — |
| 681 | C2×C4 | — | 142 | 1 | no | — |
| 682 | C2×C4 | — | 142 | 1 | no | — |
| 683 | C2×C4 | — | 142 | 2 | no | — |
| 684 | C2×C4 | — | 142 | 1 | no | — |
| 685 | C2×C4 | — | 142 | 2 | no | — |
| 686 | C2×C4 | — | 142 | 1 | no | — |
| 687 | C2×C4 | — | 142 | 2 | no | — |
| 688 | C2×C4 | — | 142 | 2 | no | — |
| 689 | C2×C4 | — | 142 | 2 | no | — |
| 690 | C2×C4 | C2×D4×D71 | 1 | 1 | yes | characteristic |
| 691 | C8 | — | 4 | 1 | no | — |
| 692 | C8 | — | 284 | 1 | no | — |
| 693 | C22 | — | 2 | 2 | no | — |
| 694 | C22 | — | 4 | 2 | no | — |
| 695 | C22 | — | 4 | 2 | no | — |
| 696 | C22 | — | 4 | 1 | no | — |
| 697 | C22 | — | 4 | 1 | no | — |
| 698 | C22 | — | 8 | 2 | no | — |
| 699 | C22 | — | 284 | 1 | no | — |
| 700 | C22 | — | 284 | 1 | no | — |
| 701 | C22 | — | 568 | 2 | no | — |
| 702 | C22 | — | 1136 | 1 | no | — |
| 703 | C22 | — | 142 | 1 | no | — |
| 704 | C22 | #120×D71 | 1 | 1 | yes | characteristic |
| 705 | C4 | — | 2 | 2 | no | — |
| 706 | C4 | — | 2 | 1 | no | — |
| 707 | C4 | — | 4 | 2 | no | — |
| 708 | C4 | — | 4 | 1 | no | — |
| 709 | C4 | — | 4 | 2 | no | — |
| 710 | C4 | — | 8 | 2 | no | — |
| 711 | C4 | — | 284 | 1 | no | — |
| 712 | C4 | — | 284 | 2 | no | — |
| 713 | C4 | — | 284 | 1 | no | — |
| 714 | C4 | — | 284 | 1 | no | — |
| 715 | C4 | — | 284 | 2 | no | — |
| 716 | C4 | — | 568 | 2 | no | — |
| 717 | C4 | — | 71 | 1 | no | — |
| 718 | C4 | — | 71 | 1 | no | — |
| 719 | C4 | — | 142 | 2 | no | — |
| 720 | C2 | — | 2 | 1 | no | — |
| 721 | C2 | — | 4 | 2 | no | — |
| 722 | C2 | — | 8 | 1 | no | — |
| 723 | C2 | — | 8 | 1 | no | — |
| 724 | C2 | — | 284 | 1 | no | — |
| 725 | C2 | — | 568 | 1 | no | — |
| 726 | C2 | B(4,𝔽2)×D71 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #22602752 | C2 | semidirect |
| 2. #22597744 | C2 | semidirect |
| 4. #22590354 | C2 | semidirect |
| 5. #22590351 | C2 | semidirect |
| 6. #22590338 | C2 | semidirect |
| 7. #22590336 | C2 | semidirect |
| 8. #22590335 | C2 | semidirect |
| 9. #22590002 | C2 | semidirect |
| 10. #22589992 | C2 | semidirect |
| 11. C71×#2198 | C2 | semidirect |
| 15. #17986752 | C22 | semidirect |
| 16. #17986735 | C22 | semidirect |
| 41. #17985793 | C22 | semidirect |
| 42. #17985792 | C22 | semidirect |
| 43. #17985790 | C22 | semidirect |
| 44. #17985789 | C22 | semidirect |
| 45. #17985788 | C22 | semidirect |
| 46. #559×C71 | C22 | semidirect |
| 49. #353×C71 | C22 | semidirect |
| 50. #352×C71 | C22 | semidirect |
| 372. #2198 | D71 | semidirect |
| 375. C71 | #33561 | semidirect |
| 381. #559 | C2×D71 | semidirect |
| 410. #353 | C2×D71 | semidirect |
| 414. #352 | C2×D71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22602752 | 2 |
| #22597744 | 2 |
| #22597685 | 2 |
| #22590354 | 2 |
| #22590351 | 2 |
| #22590338 | 2 |
| #22590336 | 2 |
| #22590335 | 2 |
| #22590002 | 2 |
| #22589992 | 2 |
| C71×#2198 | 2 |
| #33561 | 71 |