← #13058532
Subgroups — #13058532
Order 1344.
344 conjugacy classes of subgroups.
The subgroup lattice has 344 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #10621372 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | C7×#890 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | C3×#6452 | C2 | 1 | 1 | yes | maximal, characteristic |
| 4 | #10620950 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #10620946 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #10620944 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #10620941 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | #10620941 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #10620940 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #10620908 | C2 | 1 | 1 | yes | maximal, characteristic |
| 11 | #10620905 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | #10620898 | C2 | 1 | 1 | yes | maximal, characteristic |
| 13 | #10620898 | C2 | 1 | 1 | yes | maximal, characteristic |
| 14 | #10620897 | C2 | 1 | 1 | yes | maximal, characteristic |
| 15 | #10620897 | C2 | 1 | 1 | yes | maximal, characteristic |
| 16 | C7⋊#564 | — | 3 | 1 | no | maximal, Hall |
| 17 | C3×C7×C4⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 18 | C4⋊Dic21 | C22 | 1 | 1 | yes | characteristic |
| 19 | #66629 | C22 | 1 | 1 | yes | characteristic |
| 20 | #66629 | C22 | 1 | 1 | yes | characteristic |
| 21 | #66629 | C22 | 1 | 1 | yes | characteristic |
| 22 | #66629 | C22 | 1 | 1 | yes | characteristic |
| 23 | C4×Dic21 | C22 | 1 | 1 | yes | characteristic |
| 24 | C7×C4⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 25 | C7×C4⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 26 | C7×C4⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 27 | C7×Dic3⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 28 | C7×Dic3⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 29 | C4×C7×Dic3 | C22 | 1 | 1 | yes | characteristic |
| 30 | C3×C4⋊Dic7 | C22 | 1 | 1 | yes | characteristic |
| 31 | C3×Dic7⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 32 | C3×Dic7⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 33 | C3×Dic7⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 34 | C3×Dic7⋊C4 | C22 | 1 | 1 | yes | characteristic |
| 35 | C3×C4×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 36 | Dic3⋊Dic7 | C22 | 1 | 1 | yes | characteristic |
| 37 | Dic3⋊Dic7 | C22 | 1 | 1 | yes | characteristic |
| 38 | Dic3⋊Dic7 | C22 | 1 | 1 | yes | characteristic |
| 39 | Dic3⋊Dic7 | C22 | 1 | 1 | yes | characteristic |
| 40 | Dic3⋊Dic7 | C22 | 1 | 1 | yes | characteristic |
| 41 | Dic3⋊Dic7 | C22 | 1 | 1 | yes | characteristic |
| 42 | #66577 | C22 | 1 | 1 | yes | characteristic |
| 43 | #66577 | C22 | 1 | 1 | yes | characteristic |
| 44 | #66577 | C22 | 1 | 1 | yes | characteristic |
| 45 | #66577 | C22 | 1 | 1 | yes | characteristic |
| 46 | Dic7⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 47 | Dic7⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 48 | Dic7⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 49 | Dic7⋊Dic3 | C22 | 1 | 1 | yes | characteristic |
| 50 | Dic3×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 51 | Dic3×Dic7 | C22 | 1 | 1 | yes | characteristic |
| 52 | C7×#125 | — | 3 | 1 | no | — |
| 53 | #6453 | — | 3 | 1 | no | — |
| 54 | #6453 | — | 3 | 1 | no | — |
| 55 | #6453 | — | 3 | 1 | no | — |
| 56 | #6453 | — | 3 | 1 | no | — |
| 57 | #6452 | — | 3 | 1 | no | — |
| 58 | #6452 | — | 3 | 1 | no | — |
| 59 | #6452 | — | 3 | 1 | no | — |
| 60 | #6452 | — | 3 | 1 | no | — |
| 61 | #6452 | — | 3 | 1 | no | — |
| 62 | #6452 | — | 3 | 1 | no | — |
| 63 | #6452 | — | 3 | 1 | no | — |
| 64 | #6452 | D3 | 1 | 1 | yes | characteristic |
| 65 | #6433 | — | 3 | 1 | no | — |
| 66 | #6433 | — | 3 | 1 | no | — |
| 67 | C3⋊#564 | — | 7 | 1 | no | maximal, Hall |
| 68 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 69 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 70 | C2×C3×C4×C7 | C23 | 1 | 1 | yes | characteristic |
| 71 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 72 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 73 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×Dic21 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×C7×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 76 | C2×C7×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 77 | C2×C7×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×C7×Dic3 | C23 | 1 | 1 | yes | characteristic |
| 79 | C2×C3×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 80 | C2×C3×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 81 | C2×C3×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C3×Dic7 | C23 | 1 | 1 | yes | characteristic |
| 83 | C7×C4⋊C4 | — | 3 | 1 | no | — |
| 84 | C7×C4⋊C4 | — | 3 | 1 | no | — |
| 85 | C7×C4⋊C4 | — | 3 | 1 | no | — |
| 86 | C7×C4⋊C4 | — | 3 | 1 | no | — |
| 87 | C7×C4⋊C4 | — | 3 | 1 | no | — |
| 88 | C7×C4⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 89 | C42×C7 | — | 3 | 1 | no | — |
| 90 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 91 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 92 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 93 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 94 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 95 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 96 | C4⋊Dic7 | — | 3 | 1 | no | — |
| 97 | C4⋊Dic7 | C2×D3 | 1 | 1 | yes | characteristic |
| 98 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 99 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 100 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 101 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 102 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 103 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 104 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 105 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 106 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 107 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 108 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 109 | Dic7⋊C4 | — | 3 | 1 | no | — |
| 110 | Dic7⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 111 | Dic7⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 112 | Dic7⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 113 | Dic7⋊C4 | C2×D3 | 1 | 1 | yes | characteristic |
| 114 | C4×Dic7 | — | 3 | 1 | no | — |
| 115 | C4×Dic7 | — | 3 | 1 | no | — |
| 116 | C4×Dic7 | — | 3 | 1 | no | — |
| 117 | C4×Dic7 | C2×D3 | 1 | 1 | yes | characteristic |
| 118 | C3×#125 | — | 7 | 1 | no | — |
| 119 | #890 | — | 7 | 1 | no | — |
| 120 | #890 | — | 7 | 1 | no | — |
| 121 | #890 | — | 7 | 1 | no | — |
| 122 | #890 | D7 | 1 | 1 | yes | characteristic |
| 123 | #889 | — | 7 | 1 | no | — |
| 124 | #889 | — | 7 | 1 | no | — |
| 125 | #889 | — | 7 | 1 | no | — |
| 126 | #889 | — | 7 | 1 | no | — |
| 127 | #889 | — | 7 | 1 | no | — |
| 128 | #889 | — | 7 | 1 | no | — |
| 129 | #889 | — | 7 | 1 | no | — |
| 130 | #889 | — | 7 | 1 | no | — |
| 131 | #870 | — | 7 | 1 | no | — |
| 132 | #870 | — | 7 | 1 | no | — |
| 133 | C22×C3×C7 | C24 | 1 | 1 | yes | characteristic |
| 134 | C3×C4×C7 | — | 2 | 1 | no | — |
| 135 | C3×C4×C7 | — | 2 | 1 | no | — |
| 136 | C3×C4×C7 | — | 2 | 1 | no | — |
| 137 | Dic21 | — | 2 | 1 | no | — |
| 138 | Dic21 | — | 2 | 1 | no | — |
| 139 | Dic21 | — | 2 | 1 | no | — |
| 140 | Dic21 | — | 2 | 1 | no | — |
| 141 | C3×Dic7 | — | 2 | 1 | no | — |
| 142 | C3×Dic7 | — | 2 | 1 | no | — |
| 143 | C3×Dic7 | — | 2 | 1 | no | — |
| 144 | C3×Dic7 | — | 2 | 1 | no | — |
| 145 | C7×Dic3 | — | 2 | 1 | no | — |
| 146 | C7×Dic3 | — | 2 | 1 | no | — |
| 147 | C7×Dic3 | — | 2 | 1 | no | — |
| 148 | C7×Dic3 | — | 2 | 1 | no | — |
| 149 | #564 | — | 21 | 1 | no | Sylow |
| 150 | C2×C4×C7 | — | 3 | 1 | no | — |
| 151 | C2×C4×C7 | — | 3 | 1 | no | — |
| 152 | C2×C4×C7 | — | 3 | 1 | no | — |
| 153 | C2×C4×C7 | — | 3 | 1 | no | — |
| 154 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 155 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 156 | C2×C4×C7 | C22×D3 | 1 | 1 | yes | characteristic |
| 157 | C2×Dic7 | — | 3 | 1 | no | — |
| 158 | C2×Dic7 | — | 3 | 1 | no | — |
| 159 | C2×Dic7 | — | 3 | 1 | no | — |
| 160 | C2×Dic7 | — | 3 | 1 | no | — |
| 161 | C2×Dic7 | C22×D3 | 1 | 1 | yes | characteristic |
| 162 | C2×Dic7 | C22×D3 | 1 | 1 | yes | characteristic |
| 163 | C2×Dic7 | C22×D3 | 1 | 1 | yes | characteristic |
| 164 | C2×Dic7 | C22×D3 | 1 | 1 | yes | characteristic |
| 165 | C3×C4⋊C4 | — | 7 | 1 | no | — |
| 166 | C3×C4⋊C4 | — | 7 | 1 | no | — |
| 167 | C3×C4⋊C4 | — | 7 | 1 | no | — |
| 168 | C3×C4⋊C4 | — | 7 | 1 | no | — |
| 169 | C3×C4⋊C4 | — | 7 | 1 | no | — |
| 170 | C3×C4⋊C4 | C2×D7 | 1 | 1 | yes | characteristic |
| 171 | C3×C42 | — | 7 | 1 | no | — |
| 172 | C4⋊Dic3 | — | 7 | 1 | no | — |
| 173 | C4⋊Dic3 | — | 7 | 1 | no | — |
| 174 | C4⋊Dic3 | — | 7 | 1 | no | — |
| 175 | C4⋊Dic3 | — | 7 | 1 | no | — |
| 176 | C4⋊Dic3 | — | 7 | 1 | no | — |
| 177 | C4⋊Dic3 | C2×D7 | 1 | 1 | yes | characteristic |
| 178 | C4⋊Dic3 | C2×D7 | 1 | 1 | yes | characteristic |
| 179 | C4⋊Dic3 | C2×D7 | 1 | 1 | yes | characteristic |
| 180 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 181 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 182 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 183 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 184 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 185 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 186 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 187 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 188 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 189 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 190 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 191 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 192 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 193 | Dic3⋊C4 | — | 7 | 1 | no | — |
| 194 | Dic3⋊C4 | C2×D7 | 1 | 1 | yes | characteristic |
| 195 | Dic3⋊C4 | C2×D7 | 1 | 1 | yes | characteristic |
| 196 | C4×Dic3 | — | 7 | 1 | no | — |
| 197 | C4×Dic3 | — | 7 | 1 | no | — |
| 198 | C4×Dic3 | — | 7 | 1 | no | — |
| 199 | C4×Dic3 | C2×D7 | 1 | 1 | yes | characteristic |
| 200 | C2×C3×C7 | 2−1+4 | 1 | 1 | yes | characteristic |
| 201 | C2×C3×C7 | 2−1+4 | 1 | 1 | yes | characteristic |
| 202 | C2×C3×C7 | 2−1+4 | 1 | 1 | yes | characteristic |
| 203 | #125 | — | 3 | 1 | no | — |
| 204 | #125 | — | 7 | 1 | no | — |
| 205 | #125 | — | 21 | 1 | no | — |
| 206 | #125 | — | 21 | 1 | no | — |
| 207 | #125 | — | 21 | 1 | no | — |
| 208 | #125 | — | 21 | 1 | no | — |
| 209 | #125 | — | 21 | 1 | no | — |
| 210 | #125 | — | 21 | 1 | no | — |
| 211 | #125 | — | 21 | 1 | no | — |
| 212 | #125 | — | 21 | 1 | no | — |
| 213 | #125 | — | 21 | 1 | no | — |
| 214 | #125 | — | 21 | 1 | no | — |
| 215 | #125 | — | 21 | 1 | no | — |
| 216 | #125 | — | 21 | 1 | no | — |
| 217 | #125 | — | 21 | 1 | no | — |
| 218 | C22×C7 | C23×D3 | 1 | 1 | yes | characteristic |
| 219 | C4×C7 | — | 2 | 1 | no | — |
| 220 | C4×C7 | — | 2 | 1 | no | — |
| 221 | C4×C7 | — | 2 | 1 | no | — |
| 222 | C4×C7 | — | 6 | 1 | no | — |
| 223 | C4×C7 | — | 6 | 1 | no | — |
| 224 | C4×C7 | — | 6 | 1 | no | — |
| 225 | C4×C7 | — | 6 | 1 | no | — |
| 226 | Dic7 | — | 2 | 1 | no | — |
| 227 | Dic7 | — | 2 | 1 | no | — |
| 228 | Dic7 | — | 2 | 1 | no | — |
| 229 | Dic7 | — | 2 | 1 | no | — |
| 230 | Dic7 | — | 6 | 1 | no | — |
| 231 | Dic7 | — | 6 | 1 | no | — |
| 232 | Dic7 | — | 6 | 1 | no | — |
| 233 | Dic7 | — | 6 | 1 | no | — |
| 234 | C2×C3×C4 | — | 7 | 1 | no | — |
| 235 | C2×C3×C4 | — | 7 | 1 | no | — |
| 236 | C2×C3×C4 | — | 7 | 1 | no | — |
| 237 | C2×C3×C4 | — | 7 | 1 | no | — |
| 238 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 239 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 240 | C2×C3×C4 | C22×D7 | 1 | 1 | yes | characteristic |
| 241 | C2×Dic3 | — | 7 | 1 | no | — |
| 242 | C2×Dic3 | — | 7 | 1 | no | — |
| 243 | C2×Dic3 | — | 7 | 1 | no | — |
| 244 | C2×Dic3 | — | 7 | 1 | no | — |
| 245 | C2×Dic3 | C22×D7 | 1 | 1 | yes | characteristic |
| 246 | C2×Dic3 | C22×D7 | 1 | 1 | yes | characteristic |
| 247 | C2×Dic3 | C22×D7 | 1 | 1 | yes | characteristic |
| 248 | C2×Dic3 | C22×D7 | 1 | 1 | yes | characteristic |
| 249 | C3×C7 | #564 | 1 | 1 | yes | characteristic, complemented, Hall |
| 250 | C4⋊C4 | — | 3 | 1 | no | — |
| 251 | C4⋊C4 | — | 3 | 1 | no | — |
| 252 | C4⋊C4 | — | 3 | 1 | no | — |
| 253 | C4⋊C4 | — | 3 | 1 | no | — |
| 254 | C4⋊C4 | — | 3 | 1 | no | — |
| 255 | C4⋊C4 | — | 7 | 1 | no | — |
| 256 | C4⋊C4 | — | 7 | 1 | no | — |
| 257 | C4⋊C4 | — | 7 | 1 | no | — |
| 258 | C4⋊C4 | — | 7 | 1 | no | — |
| 259 | C4⋊C4 | — | 7 | 1 | no | — |
| 260 | C4⋊C4 | — | 21 | 1 | no | — |
| 261 | C4⋊C4 | — | 21 | 1 | no | — |
| 262 | C4⋊C4 | — | 21 | 1 | no | — |
| 263 | C4⋊C4 | — | 21 | 1 | no | — |
| 264 | C4⋊C4 | — | 21 | 1 | no | — |
| 265 | C4⋊C4 | — | 21 | 1 | no | — |
| 266 | C4⋊C4 | — | 21 | 1 | no | — |
| 267 | C4⋊C4 | — | 21 | 1 | no | — |
| 268 | C4⋊C4 | — | 21 | 1 | no | — |
| 269 | C4⋊C4 | — | 21 | 1 | no | — |
| 270 | C4⋊C4 | — | 21 | 1 | no | — |
| 271 | C4⋊C4 | — | 21 | 1 | no | — |
| 272 | C4⋊C4 | — | 21 | 1 | no | — |
| 273 | C4⋊C4 | — | 21 | 1 | no | — |
| 274 | C4⋊C4 | — | 21 | 1 | no | — |
| 275 | C4⋊C4 | — | 21 | 1 | no | — |
| 276 | C4⋊C4 | — | 21 | 1 | no | — |
| 277 | C4⋊C4 | — | 21 | 1 | no | — |
| 278 | C4⋊C4 | — | 21 | 1 | no | — |
| 279 | C4⋊C4 | D3×D7 | 1 | 1 | yes | characteristic |
| 280 | C42 | — | 3 | 1 | no | — |
| 281 | C42 | — | 7 | 1 | no | — |
| 282 | C42 | — | 21 | 1 | no | — |
| 283 | C42 | — | 21 | 1 | no | — |
| 284 | C42 | — | 21 | 1 | no | — |
| 285 | C2×C7 | #1007 | 1 | 1 | yes | characteristic |
| 286 | C2×C7 | #1010 | 1 | 1 | yes | characteristic |
| 287 | C2×C7 | #1010 | 1 | 1 | yes | characteristic |
| 288 | C22×C3 | C23×D7 | 1 | 1 | yes | characteristic |
| 289 | C3×C4 | — | 2 | 1 | no | — |
| 290 | C3×C4 | — | 2 | 1 | no | — |
| 291 | C3×C4 | — | 2 | 1 | no | — |
| 292 | C3×C4 | — | 14 | 1 | no | — |
| 293 | C3×C4 | — | 14 | 1 | no | — |
| 294 | C3×C4 | — | 14 | 1 | no | — |
| 295 | C3×C4 | — | 14 | 1 | no | — |
| 296 | Dic3 | — | 2 | 1 | no | — |
| 297 | Dic3 | — | 2 | 1 | no | — |
| 298 | Dic3 | — | 2 | 1 | no | — |
| 299 | Dic3 | — | 2 | 1 | no | — |
| 300 | Dic3 | — | 14 | 1 | no | — |
| 301 | Dic3 | — | 14 | 1 | no | — |
| 302 | Dic3 | — | 14 | 1 | no | — |
| 303 | Dic3 | — | 14 | 1 | no | — |
| 304 | C2×C4 | — | 3 | 1 | no | — |
| 305 | C2×C4 | — | 3 | 1 | no | — |
| 306 | C2×C4 | — | 3 | 1 | no | — |
| 307 | C2×C4 | — | 3 | 1 | no | — |
| 308 | C2×C4 | — | 7 | 1 | no | — |
| 309 | C2×C4 | — | 7 | 1 | no | — |
| 310 | C2×C4 | — | 7 | 1 | no | — |
| 311 | C2×C4 | — | 7 | 1 | no | — |
| 312 | C2×C4 | — | 21 | 1 | no | — |
| 313 | C2×C4 | — | 21 | 1 | no | — |
| 314 | C2×C4 | — | 21 | 1 | no | — |
| 315 | C2×C4 | — | 21 | 1 | no | — |
| 316 | C2×C4 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 317 | C2×C4 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 318 | C2×C4 | C2×D3×D7 | 1 | 1 | yes | characteristic |
| 319 | C7 | C3⋊#564 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 320 | C2×C3 | #6551 | 1 | 1 | yes | characteristic |
| 321 | C2×C3 | #6554 | 1 | 1 | yes | characteristic |
| 322 | C2×C3 | #6554 | 1 | 1 | yes | characteristic |
| 323 | C22 | C22×D3×D7 | 1 | 1 | yes | characteristic |
| 324 | C4 | — | 2 | 1 | no | — |
| 325 | C4 | — | 2 | 1 | no | — |
| 326 | C4 | — | 2 | 1 | no | — |
| 327 | C4 | — | 6 | 1 | no | — |
| 328 | C4 | — | 6 | 1 | no | — |
| 329 | C4 | — | 6 | 1 | no | — |
| 330 | C4 | — | 6 | 1 | no | — |
| 331 | C4 | — | 14 | 1 | no | — |
| 332 | C4 | — | 14 | 1 | no | — |
| 333 | C4 | — | 14 | 1 | no | — |
| 334 | C4 | — | 14 | 1 | no | — |
| 335 | C4 | — | 42 | 1 | no | — |
| 336 | C4 | — | 42 | 1 | no | — |
| 337 | C4 | — | 42 | 1 | no | — |
| 338 | C4 | — | 42 | 1 | no | — |
| 339 | C3 | C7⋊#564 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 340 | C2 | #10621547 | 1 | 1 | yes | characteristic |
| 341 | C2 | #10621567 | 1 | 1 | yes | characteristic |
| 342 | C2 | #10621577 | 1 | 1 | yes | characteristic |
Complements
Splittings G = N ⋊ H with N normal; H ≅ G/N.
Maximal subgroups
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
Finite Group Databasebeta