← #30856199
Subgroups — #30856199
Order 17152.
608 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #22568637 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #22560355 | C2 | 1 | 2 | yes | maximal, complemented |
| 3 | #22560331 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #22560313 | C2 | 1 | 1 | yes | maximal, characteristic |
| 5 | #22560257 | C2 | 1 | 1 | yes | maximal, characteristic |
| 6 | #22560253 | C2 | 1 | 1 | yes | maximal, characteristic |
| 7 | #22560092 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #22560012 | C2 | 1 | 1 | yes | maximal, characteristic |
| 9 | #22560011 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | #22559963 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C67×#1827 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | C2×#14524050 | C22 | 1 | 1 | yes | characteristic |
| 13 | C2×#14524050 | C22 | 1 | 1 | yes | characteristic |
| 14 | C2×#14523978 | C22 | 1 | 2 | yes | — |
| 15 | #16863432 | C22 | 1 | 2 | yes | — |
| 16 | #16863380 | C22 | 1 | 1 | yes | characteristic |
| 17 | #16863370 | C22 | 1 | 1 | yes | characteristic |
| 18 | #16863354 | C22 | 1 | 2 | yes | — |
| 19 | #16863352 | C4 | 1 | 2 | yes | complemented |
| 20 | #16863352 | C4 | 1 | 2 | yes | complemented |
| 21 | #16863352 | C22 | 1 | 2 | yes | — |
| 22 | #16863352 | C22 | 1 | 1 | yes | characteristic |
| 23 | #16863352 | C22 | 1 | 1 | yes | characteristic |
| 24 | C4×#11761612 | C4 | 1 | 2 | yes | complemented |
| 25 | C4×#11761612 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×#14523954 | C4 | 1 | 2 | yes | complemented |
| 27 | C2×#14523954 | C22 | 1 | 1 | yes | characteristic |
| 28 | #16863168 | C22 | 1 | 2 | yes | — |
| 29 | #16863166 | C22 | 1 | 2 | yes | — |
| 30 | #16863156 | C22 | 1 | 2 | yes | — |
| 31 | C67⋊#338 | C22 | 1 | 2 | yes | — |
| 32 | #16863152 | C22 | 1 | 2 | yes | — |
| 33 | #16863152 | C22 | 1 | 2 | yes | — |
| 34 | C4×#41×C67 | C22 | 1 | 1 | yes | characteristic |
| 35 | #413×C67 | C22 | 1 | 1 | yes | characteristic |
| 36 | #410×C67 | C22 | 1 | 1 | yes | characteristic |
| 37 | #339×C67 | C22 | 1 | 2 | yes | — |
| 38 | H(3,ℤ/4)×C67 | C22 | 1 | 2 | yes | — |
| 39 | #14524050 | — | 2 | 2 | no | — |
| 40 | #14524050 | — | 2 | 2 | no | — |
| 41 | #14524050 | — | 2 | 2 | no | — |
| 42 | #14524050 | — | 2 | 2 | no | — |
| 43 | C2×#11761612 | C2×C4 | 1 | 2 | yes | — |
| 44 | C2×#11761612 | C2×C4 | 1 | 2 | yes | — |
| 45 | C2×#11761612 | C23 | 1 | 2 | yes | — |
| 46 | C2×#11761612 | C23 | 1 | 1 | yes | characteristic |
| 47 | C2×#11761612 | C23 | 1 | 1 | yes | characteristic |
| 48 | C22×C67⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 49 | C22×C67⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 50 | C22×C67⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 51 | C22×C67⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 52 | #14524002 | C23 | 1 | 2 | yes | — |
| 53 | #14523978 | — | 2 | 2 | no | — |
| 54 | #14523978 | — | 2 | 2 | no | — |
| 55 | #14523976 | — | 2 | 2 | no | — |
| 56 | #14523974 | — | 2 | 2 | no | — |
| 57 | #14523962 | — | 2 | 1 | no | — |
| 58 | #14523960 | — | 2 | 1 | no | — |
| 59 | #14523958 | — | 2 | 2 | no | — |
| 60 | #14523954 | — | 2 | 2 | no | — |
| 61 | #14523954 | C2×C4 | 1 | 1 | yes | characteristic |
| 62 | #14523954 | C2×C4 | 1 | 2 | yes | — |
| 63 | #14523954 | C2×C4 | 1 | 2 | yes | — |
| 64 | #14523954 | C2×C4 | 1 | 2 | yes | — |
| 65 | #14523954 | C2×C4 | 1 | 1 | yes | characteristic |
| 66 | #14523954 | C2×C4 | 1 | 1 | yes | characteristic |
| 67 | #14523954 | C2×C4 | 1 | 1 | yes | characteristic |
| 68 | #14523953 | — | 2 | 2 | no | — |
| 69 | C4×C67⋊C8 | — | 2 | 2 | no | — |
| 70 | C4×C67⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 71 | C4×C67⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 72 | C4×C67⋊C8 | C2×C4 | 1 | 2 | yes | — |
| 73 | C8×Dic67 | — | 2 | 2 | no | — |
| 74 | C2×#41×C67 | C23 | 1 | 1 | yes | characteristic |
| 75 | C2×M16×C67 | C23 | 1 | 2 | yes | — |
| 76 | C4×Q8×C67 | — | 2 | 1 | no | — |
| 77 | C4×D4×C67 | — | 2 | 2 | no | — |
| 78 | C4×D4×C67 | — | 2 | 1 | no | — |
| 79 | #117×C67 | C2×C4 | 1 | 2 | yes | — |
| 80 | #117×C67 | C23 | 1 | 2 | yes | — |
| 81 | #117×C67 | C23 | 1 | 1 | yes | characteristic |
| 82 | C2×C42×C67 | C2×C4 | 1 | 2 | yes | — |
| 83 | C2×C42×C67 | C23 | 1 | 1 | yes | characteristic |
| 84 | #101×C67 | — | 2 | 1 | no | — |
| 85 | #100×C67 | — | 2 | 1 | no | — |
| 86 | #99×C67 | — | 2 | 2 | no | — |
| 87 | #11761612 | — | 2 | 2 | no | — |
| 88 | #11761612 | — | 2 | 2 | no | — |
| 89 | #11761612 | — | 2 | 4 | no | — |
| 90 | #11761612 | — | 2 | 4 | no | — |
| 91 | #11761612 | — | 2 | 2 | no | — |
| 92 | #11761612 | — | 2 | 2 | no | — |
| 93 | C2×C67⋊C8 | — | 2 | 2 | no | — |
| 94 | C2×C67⋊C8 | — | 2 | 2 | no | — |
| 95 | C2×C67⋊C8 | — | 2 | 2 | no | — |
| 96 | C2×C67⋊C8 | — | 2 | 2 | no | — |
| 97 | C2×C67⋊C8 | — | 2 | 2 | no | — |
| 98 | C2×C67⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 99 | C2×C67⋊C8 | C22×C4 | 1 | 2 | yes | — |
| 100 | C2×C67⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 101 | C2×C67⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 102 | C2×C67⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 103 | C2×C67⋊C8 | C22×C4 | 1 | 1 | yes | characteristic |
| 104 | C2×C67⋊C8 | #41 | 1 | 2 | yes | — |
| 105 | C2×C67⋊C8 | #41 | 1 | 2 | yes | — |
| 106 | C2×C67⋊C8 | #41 | 1 | 2 | yes | — |
| 107 | C2×C67⋊C8 | #41 | 1 | 2 | yes | — |
| 108 | C4⋊Dic67 | — | 2 | 2 | no | — |
| 109 | C22⋊Dic67 | — | 2 | 2 | no | — |
| 110 | C4×Dic67 | — | 2 | 2 | no | — |
| 111 | #41×C67 | — | 2 | 2 | no | — |
| 112 | #41×C67 | — | 2 | 2 | no | — |
| 113 | C2×Q8×C67 | #41 | 1 | 1 | yes | characteristic |
| 114 | C2×D4×C67 | #41 | 1 | 2 | yes | — |
| 115 | C2×D4×C67 | #41 | 1 | 1 | yes | characteristic |
| 116 | C22×C4×C67 | — | 2 | 2 | no | — |
| 117 | C22×C4×C67 | — | 2 | 1 | no | — |
| 118 | C22×C4×C67 | C22×C4 | 1 | 2 | yes | — |
| 119 | C22×C4×C67 | C24 | 1 | 1 | yes | characteristic |
| 120 | M16×C67 | — | 2 | 2 | no | — |
| 121 | M16×C67 | — | 2 | 2 | no | — |
| 122 | C2×C8×C67 | — | 2 | 2 | no | — |
| 123 | C4⋊C4×C67 | — | 2 | 2 | no | — |
| 124 | C4⋊C4×C67 | — | 2 | 1 | no | — |
| 125 | C4⋊C4×C67 | — | 2 | 2 | no | — |
| 126 | C22⋊C4×C67 | — | 2 | 2 | no | — |
| 127 | C22⋊C4×C67 | — | 2 | 1 | no | — |
| 128 | C22⋊C4×C67 | — | 2 | 2 | no | — |
| 129 | C42×C67 | — | 2 | 2 | no | — |
| 130 | C42×C67 | — | 2 | 1 | no | — |
| 131 | C42×C67 | — | 2 | 2 | no | — |
| 132 | C42×C67 | C22×C4 | 1 | 1 | yes | characteristic |
| 133 | C42×C67 | C22×C4 | 1 | 2 | yes | — |
| 134 | C42×C67 | C22×C4 | 1 | 1 | yes | characteristic |
| 135 | C23×C67 | #117 | 1 | 2 | yes | — |
| 136 | C23×C67 | C2×#41 | 1 | 1 | yes | characteristic |
| 137 | Q8×C67 | — | 2 | 2 | no | — |
| 138 | D4×C67 | — | 2 | 4 | no | — |
| 139 | D4×C67 | — | 2 | 2 | no | — |
| 140 | C2×C4×C67 | — | 2 | 2 | no | — |
| 141 | C2×C4×C67 | — | 2 | 2 | no | — |
| 142 | C2×C4×C67 | — | 2 | 1 | no | — |
| 143 | C2×C4×C67 | — | 2 | 2 | no | — |
| 144 | C2×C4×C67 | — | 2 | 1 | no | — |
| 145 | C2×C4×C67 | — | 4 | 2 | no | — |
| 146 | C2×C4×C67 | — | 8 | 1 | no | — |
| 147 | C2×C4×C67 | — | 8 | 2 | no | — |
| 148 | C2×C4×C67 | #117 | 1 | 2 | yes | — |
| 149 | C2×C4×C67 | C23×C4 | 1 | 1 | yes | characteristic |
| 150 | C2×C4×C67 | C2×#41 | 1 | 2 | yes | — |
| 151 | C2×C4×C67 | C2×#41 | 1 | 2 | yes | — |
| 152 | C2×C4×C67 | C2×#41 | 1 | 1 | yes | characteristic |
| 153 | C2×Dic67 | — | 4 | 2 | no | — |
| 154 | C8×C67 | — | 4 | 2 | no | — |
| 155 | C67⋊C8 | — | 2 | 2 | no | — |
| 156 | C67⋊C8 | — | 2 | 2 | no | — |
| 157 | C67⋊C8 | — | 4 | 2 | no | — |
| 158 | C67⋊C8 | #117 | 1 | 1 | yes | characteristic |
| 159 | C67⋊C8 | #117 | 1 | 1 | yes | characteristic |
| 160 | C67⋊C8 | #117 | 1 | 1 | yes | characteristic |
| 161 | C67⋊C8 | #117 | 1 | 1 | yes | characteristic |
| 162 | C67⋊C8 | #117 | 1 | 2 | yes | — |
| 163 | C67⋊C8 | #117 | 1 | 2 | yes | — |
| 164 | C22×C67 | — | 2 | 2 | no | — |
| 165 | C22×C67 | — | 4 | 1 | no | — |
| 166 | C22×C67 | — | 4 | 2 | no | — |
| 167 | C22×C67 | C2×#117 | 1 | 1 | yes | characteristic |
| 168 | C22×C67 | #529 | 1 | 2 | yes | — |
| 169 | C4×C67 | — | 2 | 2 | no | — |
| 170 | C4×C67 | — | 4 | 2 | no | — |
| 171 | C4×C67 | — | 4 | 1 | no | — |
| 172 | C4×C67 | — | 4 | 1 | no | — |
| 173 | C4×C67 | — | 8 | 2 | no | — |
| 174 | C4×C67 | C2×#117 | 1 | 1 | yes | characteristic |
| 175 | C4×C67 | C2×#117 | 1 | 1 | yes | characteristic |
| 176 | C4×C67 | #529 | 1 | 2 | yes | — |
| 177 | Dic67 | — | 8 | 2 | no | — |
| 178 | #20788 | — | 67 | 1 | no | maximal, Sylow |
| 179 | C2×C67 | — | 2 | 2 | no | — |
| 180 | C2×C67 | — | 2 | 1 | no | — |
| 181 | C2×C67 | — | 4 | 2 | no | — |
| 182 | C2×C67 | #2283 | 1 | 1 | yes | characteristic |
| 183 | #2875 | — | 67 | 1 | no | — |
| 184 | #1841 | — | 67 | 2 | no | — |
| 185 | #1833 | — | 67 | 2 | no | — |
| 186 | #1827 | — | 67 | 1 | no | — |
| 187 | #1827 | D67 | 1 | 1 | yes | characteristic |
| 188 | #1813 | — | 67 | 1 | no | — |
| 189 | #1812 | — | 67 | 1 | no | — |
| 190 | #1773 | — | 67 | 2 | no | — |
| 191 | #1757 | — | 67 | 1 | no | — |
| 192 | #1757 | — | 67 | 1 | no | — |
| 193 | #1747 | — | 67 | 2 | no | — |
| 194 | C67 | #20788 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 195 | C2×#131 | — | 67 | 1 | no | — |
| 196 | C2×#131 | — | 67 | 1 | no | — |
| 197 | C4×#41 | C2×D67 | 1 | 1 | yes | characteristic |
| 198 | C2×#108 | — | 67 | 2 | no | — |
| 199 | #427 | — | 67 | 2 | no | — |
| 200 | #413 | — | 67 | 1 | no | — |
| 201 | #413 | C2×D67 | 1 | 1 | yes | characteristic |
| 202 | #410 | — | 67 | 1 | no | — |
| 203 | #410 | C2×D67 | 1 | 1 | yes | characteristic |
| 204 | #405 | — | 67 | 2 | no | — |
| 205 | #405 | — | 67 | 2 | no | — |
| 206 | #405 | — | 67 | 1 | no | — |
| 207 | #405 | — | 67 | 1 | no | — |
| 208 | #405 | — | 67 | 2 | no | — |
| 209 | #405 | — | 67 | 2 | no | — |
| 210 | C4×M16 | — | 67 | 2 | no | — |
| 211 | C4×M16 | — | 67 | 1 | no | — |
| 212 | C2×#97 | — | 67 | 2 | no | — |
| 213 | C2×#97 | — | 67 | 1 | no | — |
| 214 | #344 | — | 67 | 2 | no | — |
| 215 | #344 | — | 67 | 2 | no | — |
| 216 | #339 | — | 67 | 2 | no | — |
| 217 | #339 | C2×D67 | 1 | 2 | yes | — |
| 218 | #338 | — | 67 | 2 | no | — |
| 219 | H(3,ℤ/4) | — | 67 | 2 | no | — |
| 220 | H(3,ℤ/4) | — | 67 | 2 | no | — |
| 221 | H(3,ℤ/4) | C2×D67 | 1 | 2 | yes | — |
| 222 | C2×#41 | C22×D67 | 1 | 1 | yes | characteristic |
| 223 | #131 | — | 134 | 2 | no | — |
| 224 | #131 | — | 134 | 2 | no | — |
| 225 | #131 | — | 134 | 2 | no | — |
| 226 | #131 | — | 134 | 2 | no | — |
| 227 | C2×M16 | — | 67 | 2 | no | — |
| 228 | C2×M16 | — | 67 | 2 | no | — |
| 229 | C2×M16 | — | 67 | 1 | no | — |
| 230 | C2×M16 | — | 67 | 1 | no | — |
| 231 | C2×M16 | — | 67 | 2 | no | — |
| 232 | C2×M16 | C22×D67 | 1 | 2 | yes | — |
| 233 | C22×C8 | — | 67 | 1 | no | — |
| 234 | C22×C8 | — | 67 | 1 | no | — |
| 235 | C22×C8 | — | 67 | 2 | no | — |
| 236 | C22×C8 | — | 67 | 2 | no | — |
| 237 | C4×Q8 | — | 2 | 1 | no | — |
| 238 | C4×D4 | — | 2 | 2 | no | — |
| 239 | C4×D4 | — | 2 | 1 | no | — |
| 240 | #117 | — | 67 | 2 | no | — |
| 241 | #117 | C4×D67 | 1 | 2 | yes | — |
| 242 | #117 | C22×D67 | 1 | 2 | yes | — |
| 243 | #117 | C22×D67 | 1 | 1 | yes | characteristic |
| 244 | C2×C42 | C4×D67 | 1 | 2 | yes | — |
| 245 | C2×C42 | C22×D67 | 1 | 1 | yes | characteristic |
| 246 | #108 | — | 134 | 2 | no | — |
| 247 | #108 | — | 134 | 2 | no | — |
| 248 | #107 | — | 134 | 2 | no | — |
| 249 | #106 | — | 134 | 2 | no | — |
| 250 | #101 | — | 2 | 1 | no | — |
| 251 | #101 | — | 134 | 1 | no | — |
| 252 | #100 | — | 2 | 1 | no | — |
| 253 | #100 | — | 134 | 1 | no | — |
| 254 | #99 | — | 2 | 2 | no | — |
| 255 | #99 | — | 134 | 2 | no | — |
| 256 | #97 | — | 67 | 1 | no | — |
| 257 | #97 | — | 67 | 1 | no | — |
| 258 | #97 | — | 67 | 2 | no | — |
| 259 | #97 | — | 67 | 2 | no | — |
| 260 | #97 | — | 67 | 2 | no | — |
| 261 | #97 | — | 67 | 1 | no | — |
| 262 | #97 | — | 67 | 1 | no | — |
| 263 | #97 | — | 134 | 2 | no | — |
| 264 | #97 | — | 134 | 2 | no | — |
| 265 | C4×C8 | — | 67 | 2 | no | — |
| 266 | C4×C8 | — | 67 | 2 | no | — |
| 267 | C4×C8 | — | 67 | 2 | no | — |
| 268 | C4×C8 | — | 134 | 2 | no | — |
| 269 | C4×C8 | — | 134 | 2 | no | — |
| 270 | #41 | — | 2 | 2 | no | — |
| 271 | #41 | — | 2 | 2 | no | — |
| 272 | C2×Q8 | #11761627 | 1 | 1 | yes | characteristic |
| 273 | C2×D4 | #11761627 | 1 | 2 | yes | — |
| 274 | C2×D4 | #11761627 | 1 | 1 | yes | characteristic |
| 275 | C22×C4 | — | 2 | 2 | no | — |
| 276 | C22×C4 | — | 2 | 1 | no | — |
| 277 | C22×C4 | C2×C4×D67 | 1 | 2 | yes | — |
| 278 | C22×C4 | C23×D67 | 1 | 1 | yes | characteristic |
| 279 | M16 | — | 2 | 2 | no | — |
| 280 | M16 | — | 2 | 2 | no | — |
| 281 | M16 | — | 134 | 2 | no | — |
| 282 | M16 | — | 134 | 2 | no | — |
| 283 | M16 | — | 134 | 4 | no | — |
| 284 | M16 | — | 134 | 4 | no | — |
| 285 | M16 | — | 134 | 2 | no | — |
| 286 | M16 | — | 134 | 2 | no | — |
| 287 | C2×C8 | — | 2 | 2 | no | — |
| 288 | C2×C8 | — | 67 | 1 | no | — |
| 289 | C2×C8 | — | 67 | 1 | no | — |
| 290 | C2×C8 | — | 67 | 1 | no | — |
| 291 | C2×C8 | — | 67 | 1 | no | — |
| 292 | C2×C8 | — | 67 | 2 | no | — |
| 293 | C2×C8 | — | 67 | 2 | no | — |
| 294 | C2×C8 | — | 67 | 2 | no | — |
| 295 | C2×C8 | — | 67 | 2 | no | — |
| 296 | C2×C8 | — | 67 | 2 | no | — |
| 297 | C2×C8 | — | 67 | 2 | no | — |
| 298 | C2×C8 | — | 134 | 2 | no | — |
| 299 | C2×C8 | — | 134 | 2 | no | — |
| 300 | C2×C8 | — | 134 | 2 | no | — |
| 301 | C2×C8 | — | 134 | 2 | no | — |
| 302 | C2×C8 | — | 134 | 2 | no | — |
| 303 | C4⋊C4 | — | 2 | 2 | no | — |
| 304 | C4⋊C4 | — | 2 | 1 | no | — |
| 305 | C4⋊C4 | — | 2 | 2 | no | — |
| 306 | C4⋊C4 | — | 134 | 2 | no | — |
| 307 | C22⋊C4 | — | 2 | 2 | no | — |
| 308 | C22⋊C4 | — | 2 | 1 | no | — |
| 309 | C22⋊C4 | — | 2 | 2 | no | — |
| 310 | C22⋊C4 | — | 134 | 2 | no | — |
| 311 | C42 | — | 2 | 2 | no | — |
| 312 | C42 | — | 2 | 1 | no | — |
| 313 | C42 | — | 2 | 2 | no | — |
| 314 | C42 | — | 134 | 2 | no | — |
| 315 | C42 | C2×C4×D67 | 1 | 2 | yes | — |
| 316 | C42 | C2×C4×D67 | 1 | 1 | yes | characteristic |
| 317 | C42 | C2×C4×D67 | 1 | 1 | yes | characteristic |
| 318 | C23 | #14523999 | 1 | 2 | yes | — |
| 319 | C23 | C2×#11761627 | 1 | 1 | yes | characteristic |
| 320 | Q8 | — | 2 | 2 | no | — |
| 321 | D4 | — | 2 | 4 | no | — |
| 322 | D4 | — | 2 | 2 | no | — |
| 323 | C2×C4 | — | 2 | 2 | no | — |
| 324 | C2×C4 | — | 2 | 2 | no | — |
| 325 | C2×C4 | — | 2 | 1 | no | — |
| 326 | C2×C4 | — | 2 | 2 | no | — |
| 327 | C2×C4 | — | 2 | 1 | no | — |
| 328 | C2×C4 | — | 4 | 2 | no | — |
| 329 | C2×C4 | — | 8 | 1 | no | — |
| 330 | C2×C4 | — | 8 | 2 | no | — |
| 331 | C2×C4 | — | 268 | 2 | no | — |
| 332 | C2×C4 | #14523999 | 1 | 2 | yes | — |
| 333 | C2×C4 | C22×C4×D67 | 1 | 1 | yes | characteristic |
| 334 | C2×C4 | #41×D67 | 1 | 2 | yes | — |
| 335 | C2×C4 | #41×D67 | 1 | 2 | yes | — |
| 336 | C2×C4 | C2×#11761627 | 1 | 1 | yes | characteristic |
| 337 | C8 | — | 4 | 2 | no | — |
| 338 | C8 | — | 268 | 2 | no | — |
| 339 | C8 | — | 67 | 1 | no | — |
| 340 | C8 | — | 67 | 1 | no | — |
| 341 | C8 | — | 67 | 2 | no | — |
| 342 | C8 | — | 67 | 1 | no | — |
| 343 | C8 | — | 67 | 1 | no | — |
| 344 | C8 | — | 67 | 2 | no | — |
| 345 | C8 | — | 134 | 2 | no | — |
| 346 | C8 | — | 134 | 2 | no | — |
| 347 | C22 | — | 2 | 2 | no | — |
| 348 | C22 | — | 4 | 1 | no | — |
| 349 | C22 | — | 4 | 2 | no | — |
| 350 | C22 | C2×#14523999 | 1 | 1 | yes | characteristic |
| 351 | C22 | #16863923 | 1 | 2 | yes | — |
| 352 | C4 | — | 2 | 2 | no | — |
| 353 | C4 | — | 4 | 1 | no | — |
| 354 | C4 | — | 4 | 2 | no | — |
| 355 | C4 | — | 4 | 1 | no | — |
| 356 | C4 | — | 8 | 2 | no | — |
| 357 | C4 | — | 536 | 2 | no | — |
| 358 | C4 | #117×D67 | 1 | 1 | yes | characteristic |
| 359 | C4 | #117×D67 | 1 | 1 | yes | characteristic |
| 360 | C4 | #16863923 | 1 | 2 | yes | — |
| 361 | C2 | — | 2 | 1 | no | — |
| 362 | C2 | — | 2 | 2 | no | — |
| 363 | C2 | — | 4 | 2 | no | — |
| 364 | C2 | #22562600 | 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