← #33069070
Subgroups — #33069070
Order 18688.
746 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #22621241 | C2 | 1 | 2 | yes | maximal, complemented |
| 2 | #22620359 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #22618644 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #22609421 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #22609411 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #22609273 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #22608606 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | C2×#334×C73 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C2×#14556613 | — | 2 | 1 | no | — |
| 10 | C2×#14556613 | — | 2 | 1 | no | — |
| 11 | C2×#14556597 | — | 2 | 1 | no | — |
| 12 | #17989137 | C22 | 1 | 2 | yes | — |
| 13 | #17989137 | C22 | 1 | 1 | yes | characteristic |
| 14 | #17988971 | — | 2 | 1 | no | — |
| 15 | #17988971 | — | 2 | 1 | no | — |
| 16 | #17988967 | C22 | 1 | 1 | yes | characteristic |
| 17 | #17988964 | C22 | 1 | 1 | yes | characteristic |
| 18 | #17988960 | C22 | 1 | 2 | yes | — |
| 19 | #17988868 | — | 2 | 2 | no | — |
| 20 | #17988868 | C22 | 1 | 4 | yes | — |
| 21 | #17988823 | — | 2 | 4 | no | — |
| 22 | #17988783 | — | 2 | 2 | no | — |
| 23 | #17988783 | C22 | 1 | 4 | yes | — |
| 24 | #17988666 | — | 2 | 1 | no | — |
| 25 | #17988666 | C22 | 1 | 2 | yes | — |
| 26 | C8×D292 | — | 2 | 1 | no | — |
| 27 | C8×D292 | C22 | 1 | 2 | yes | — |
| 28 | #17988611 | C22 | 1 | 1 | yes | characteristic |
| 29 | #17988553 | — | 2 | 1 | no | — |
| 30 | #17988332 | C22 | 1 | 4 | yes | — |
| 31 | #17988330 | C22 | 1 | 4 | yes | — |
| 32 | C2×C4⋊C8×C73 | C22 | 1 | 2 | yes | — |
| 33 | C2×C4×C8×C73 | C22 | 1 | 1 | yes | characteristic |
| 34 | #334×C73 | C22 | 1 | 2 | yes | — |
| 35 | #334×C73 | C22 | 1 | 2 | yes | — |
| 36 | C2×#11924028 | — | 2 | 1 | no | — |
| 37 | C2×#11924028 | — | 2 | 2 | no | — |
| 38 | #14556613 | — | 4 | 4 | no | — |
| 39 | #14556613 | — | 4 | 4 | no | — |
| 40 | C2×Dic292 | — | 2 | 1 | no | — |
| 41 | C2×Dic292 | — | 2 | 1 | no | — |
| 42 | C2×#11924017 | — | 2 | 2 | no | — |
| 43 | C2×#11924017 | — | 2 | 2 | no | — |
| 44 | C2×D584 | — | 2 | 4 | no | — |
| 45 | C2×D584 | — | 2 | 1 | no | — |
| 46 | C2×D584 | — | 2 | 1 | no | — |
| 47 | #14556597 | — | 4 | 4 | no | — |
| 48 | C2×#11924012 | — | 2 | 1 | no | — |
| 49 | C2×#11924011 | — | 2 | 2 | no | — |
| 50 | C2×C8×D73 | — | 2 | 2 | no | — |
| 51 | #14556591 | D4 | 1 | 1 | yes | characteristic |
| 52 | #14556591 | C23 | 1 | 2 | yes | — |
| 53 | #14556588 | D4 | 1 | 1 | yes | characteristic |
| 54 | #14556588 | C23 | 1 | 2 | yes | — |
| 55 | #14556579 | — | 2 | 2 | no | — |
| 56 | #14556579 | — | 2 | 1 | no | — |
| 57 | #14556565 | — | 2 | 2 | no | — |
| 58 | #14556565 | — | 2 | 1 | no | — |
| 59 | #14556565 | — | 2 | 2 | no | — |
| 60 | #14556565 | D4 | 1 | 2 | yes | — |
| 61 | C4×D292 | — | 2 | 1 | no | — |
| 62 | C4×D292 | — | 2 | 2 | no | — |
| 63 | C4×D292 | — | 2 | 2 | no | — |
| 64 | C4×D292 | C23 | 1 | 2 | yes | — |
| 65 | #14556525 | — | 2 | 4 | no | — |
| 66 | C4⋊#10596831 | — | 2 | 1 | no | — |
| 67 | C4⋊#10596831 | C23 | 1 | 2 | yes | — |
| 68 | #14556513 | — | 2 | 4 | no | — |
| 69 | #14556513 | — | 2 | 4 | no | — |
| 70 | #14556503 | — | 2 | 2 | no | — |
| 71 | #14556503 | — | 2 | 2 | no | — |
| 72 | C22×C8×C73 | — | 2 | 2 | no | — |
| 73 | C22×C8×C73 | D4 | 1 | 1 | yes | characteristic |
| 74 | C22×C8×C73 | D4 | 1 | 1 | yes | characteristic |
| 75 | C2×C42×C73 | C23 | 1 | 1 | yes | characteristic |
| 76 | C4⋊C8×C73 | — | 2 | 2 | no | — |
| 77 | C4⋊C8×C73 | C23 | 1 | 4 | yes | — |
| 78 | C4×C8×C73 | D4 | 1 | 1 | yes | characteristic |
| 79 | C4×C8×C73 | D4 | 1 | 1 | yes | characteristic |
| 80 | C4×C8×C73 | C23 | 1 | 1 | yes | characteristic |
| 81 | C4×C8×C73 | C23 | 1 | 1 | yes | characteristic |
| 82 | #11924028 | — | 4 | 2 | no | — |
| 83 | #11924028 | — | 4 | 2 | no | — |
| 84 | #11924028 | — | 4 | 4 | no | — |
| 85 | #11924028 | — | 4 | 4 | no | — |
| 86 | C2×Dic146 | — | 2 | 1 | no | — |
| 87 | C2×Dic146 | — | 2 | 2 | no | — |
| 88 | C2×D292 | — | 2 | 1 | no | — |
| 89 | C2×D292 | — | 2 | 1 | no | — |
| 90 | C2×D292 | — | 2 | 2 | no | — |
| 91 | C2×D292 | — | 2 | 2 | no | — |
| 92 | C2×D292 | — | 2 | 2 | no | — |
| 93 | C2×D292 | C2×D4 | 1 | 2 | yes | — |
| 94 | C2×C22⋊D73 | — | 2 | 2 | no | — |
| 95 | C2×C22⋊D73 | — | 4 | 2 | no | — |
| 96 | C2×C4×D73 | — | 2 | 2 | no | — |
| 97 | C2×C4×D73 | — | 4 | 2 | no | — |
| 98 | Dic292 | — | 4 | 2 | no | — |
| 99 | Dic292 | — | 4 | 2 | no | — |
| 100 | #11924017 | — | 4 | 4 | no | — |
| 101 | #11924017 | — | 4 | 4 | no | — |
| 102 | D584 | — | 4 | 2 | no | — |
| 103 | D584 | — | 4 | 2 | no | — |
| 104 | D584 | — | 8 | 4 | no | — |
| 105 | #11924012 | — | 4 | 2 | no | — |
| 106 | #11924011 | — | 4 | 4 | no | — |
| 107 | C2×#10596831 | — | 2 | 2 | no | — |
| 108 | C8×D73 | — | 4 | 4 | no | — |
| 109 | C4⋊Dic73 | — | 2 | 1 | no | — |
| 110 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 111 | C4⋊Dic73 | — | 2 | 2 | no | — |
| 112 | C4⋊Dic73 | C2×D4 | 1 | 2 | yes | — |
| 113 | #11924005 | — | 2 | 2 | no | — |
| 114 | #11924005 | — | 2 | 2 | no | — |
| 115 | #11924005 | — | 4 | 2 | no | — |
| 116 | #11924005 | — | 4 | 2 | no | — |
| 117 | C22×C4×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 118 | C22×C4×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 119 | C22×C4×C73 | #41 | 1 | 1 | yes | characteristic |
| 120 | C2×C8×C73 | — | 2 | 2 | no | — |
| 121 | C2×C8×C73 | — | 2 | 4 | no | — |
| 122 | C2×C8×C73 | — | 8 | 2 | no | — |
| 123 | C2×C8×C73 | D8 | 1 | 4 | yes | complemented |
| 124 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 125 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 126 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 127 | C2×C8×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 128 | C42×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 129 | C42×C73 | C2×D4 | 1 | 1 | yes | characteristic |
| 130 | C42×C73 | #41 | 1 | 1 | yes | characteristic |
| 131 | C42×C73 | C24 | 1 | 1 | yes | characteristic |
| 132 | C23×C73 | #121 | 1 | 1 | yes | characteristic |
| 133 | C22×D73 | — | 2 | 2 | no | — |
| 134 | C22×D73 | — | 4 | 2 | no | — |
| 135 | C2×C4×C73 | — | 2 | 2 | no | — |
| 136 | C2×C4×C73 | — | 4 | 1 | no | — |
| 137 | C2×C4×C73 | #121 | 1 | 1 | yes | characteristic |
| 138 | C2×C4×C73 | #121 | 1 | 1 | yes | characteristic |
| 139 | C2×C4×C73 | #121 | 1 | 1 | yes | characteristic |
| 140 | C2×C4×C73 | C2×D8 | 1 | 2 | yes | — |
| 141 | C2×C4×C73 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 142 | C2×C4×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 143 | C2×C4×C73 | C22×D4 | 1 | 1 | yes | characteristic |
| 144 | C2×C4×C73 | C2×#41 | 1 | 1 | yes | characteristic |
| 145 | C22⋊D73 | — | 4 | 4 | no | — |
| 146 | C22⋊D73 | — | 8 | 4 | no | — |
| 147 | C2×Dic73 | — | 2 | 2 | no | — |
| 148 | C2×Dic73 | — | 4 | 2 | no | — |
| 149 | D292 | — | 2 | 4 | no | — |
| 150 | D292 | — | 4 | 2 | no | — |
| 151 | D292 | — | 4 | 2 | no | — |
| 152 | D292 | — | 4 | 2 | no | — |
| 153 | D292 | — | 4 | 2 | no | — |
| 154 | D292 | — | 4 | 2 | no | — |
| 155 | D292 | — | 4 | 2 | no | — |
| 156 | D292 | — | 8 | 2 | no | — |
| 157 | C4×D73 | — | 4 | 2 | no | — |
| 158 | C4×D73 | — | 4 | 2 | no | — |
| 159 | C4×D73 | — | 8 | 4 | no | — |
| 160 | Dic146 | — | 4 | 2 | no | — |
| 161 | Dic146 | — | 4 | 2 | no | — |
| 162 | Dic146 | — | 4 | 2 | no | — |
| 163 | C8×C73 | — | 2 | 1 | no | — |
| 164 | C8×C73 | — | 2 | 1 | no | — |
| 165 | C8×C73 | — | 4 | 4 | no | — |
| 166 | C8×C73 | C2×D8 | 1 | 2 | yes | — |
| 167 | C8×C73 | C2×D8 | 1 | 2 | yes | — |
| 168 | #10596831 | — | 4 | 2 | no | — |
| 169 | C22×C73 | — | 2 | 1 | no | — |
| 170 | C22×C73 | — | 2 | 1 | no | — |
| 171 | C22×C73 | #459 | 1 | 2 | yes | — |
| 172 | C22×C73 | C2×#121 | 1 | 1 | yes | characteristic |
| 173 | C2×D73 | — | 4 | 2 | no | — |
| 174 | C2×D73 | — | 4 | 2 | no | — |
| 175 | C2×D73 | — | 4 | 2 | no | — |
| 176 | C2×D73 | — | 8 | 2 | no | — |
| 177 | C2×D73 | — | 8 | 2 | no | — |
| 178 | C2×D73 | — | 8 | 2 | no | — |
| 179 | C4×C73 | — | 2 | 1 | no | — |
| 180 | C4×C73 | — | 2 | 1 | no | — |
| 181 | C4×C73 | — | 2 | 1 | no | — |
| 182 | C4×C73 | #459 | 1 | 2 | yes | — |
| 183 | C4×C73 | C22×D8 | 1 | 1 | yes | characteristic |
| 184 | C4×C73 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 185 | C4×C73 | #577 | 1 | 2 | yes | — |
| 186 | Dic73 | — | 4 | 2 | no | — |
| 187 | Dic73 | — | 8 | 2 | no | — |
| 188 | #19189 | — | 73 | 1 | no | maximal, Sylow |
| 189 | C2×C73 | — | 2 | 2 | no | — |
| 190 | C2×C73 | C2×#459 | 1 | 1 | yes | characteristic |
| 191 | C2×C73 | #3060 | 1 | 1 | yes | characteristic |
| 192 | C2×C73 | #3067 | 1 | 1 | yes | characteristic |
| 193 | D73 | — | 8 | 2 | no | — |
| 194 | D73 | — | 16 | 2 | no | — |
| 195 | #3245 | — | 73 | 2 | no | — |
| 196 | #3147 | — | 73 | 1 | no | — |
| 197 | #2931 | — | 73 | 1 | no | — |
| 198 | #1689 | — | 73 | 2 | no | — |
| 199 | #1687 | — | 73 | 2 | no | — |
| 200 | #1665 | — | 73 | 4 | no | — |
| 201 | C2×#334 | D73 | 1 | 1 | yes | characteristic, complemented |
| 202 | #1547 | — | 73 | 2 | no | — |
| 203 | C73 | #19189 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 204 | C2×#135 | — | 146 | 1 | no | — |
| 205 | C2×#135 | — | 146 | 1 | no | — |
| 206 | C2×#131 | — | 146 | 1 | no | — |
| 207 | #532 | — | 73 | 1 | no | — |
| 208 | #532 | — | 73 | 2 | no | — |
| 209 | #495 | — | 146 | 1 | no | — |
| 210 | #495 | — | 146 | 1 | no | — |
| 211 | #494 | — | 73 | 1 | no | — |
| 212 | #493 | — | 73 | 1 | no | — |
| 213 | #492 | — | 73 | 2 | no | — |
| 214 | #474 | — | 73 | 4 | no | — |
| 215 | #474 | — | 146 | 2 | no | — |
| 216 | #466 | — | 146 | 4 | no | — |
| 217 | #459 | — | 73 | 4 | no | — |
| 218 | #459 | — | 146 | 2 | no | — |
| 219 | #436 | — | 73 | 2 | no | — |
| 220 | #436 | — | 146 | 1 | no | — |
| 221 | C8×D4 | — | 73 | 2 | no | — |
| 222 | C8×D4 | — | 146 | 1 | no | — |
| 223 | #423 | — | 73 | 1 | no | — |
| 224 | C2×C4⋊C8 | C2×D73 | 1 | 2 | yes | — |
| 225 | #408 | — | 146 | 1 | no | — |
| 226 | C2×C4×C8 | C2×D73 | 1 | 1 | yes | characteristic |
| 227 | #334 | C2×D73 | 1 | 2 | yes | — |
| 228 | #334 | C2×D73 | 1 | 2 | yes | — |
| 229 | #332 | — | 73 | 4 | no | — |
| 230 | #331 | — | 73 | 4 | no | — |
| 231 | C2×#41 | — | 146 | 2 | no | — |
| 232 | C2×#41 | — | 146 | 1 | no | — |
| 233 | #135 | — | 292 | 4 | no | — |
| 234 | #135 | — | 292 | 4 | no | — |
| 235 | C2×Q16 | — | 146 | 1 | no | — |
| 236 | C2×Q16 | — | 146 | 1 | no | — |
| 237 | C2×SD16 | — | 146 | 2 | no | — |
| 238 | C2×SD16 | — | 146 | 2 | no | — |
| 239 | C2×D8 | — | 146 | 4 | no | — |
| 240 | C2×D8 | — | 146 | 1 | no | — |
| 241 | C2×D8 | — | 146 | 1 | no | — |
| 242 | #131 | — | 292 | 4 | no | — |
| 243 | C2×M16 | — | 146 | 1 | no | — |
| 244 | C2×M16 | — | 146 | 2 | no | — |
| 245 | C22×C8 | — | 2 | 2 | no | — |
| 246 | C22×C8 | — | 146 | 2 | no | — |
| 247 | C22×C8 | D292 | 1 | 1 | yes | characteristic |
| 248 | C22×C8 | D292 | 1 | 1 | yes | characteristic |
| 249 | C4⋊Q8 | — | 73 | 1 | no | — |
| 250 | C4⋊Q8 | — | 73 | 2 | no | — |
| 251 | #127 | — | 73 | 1 | no | — |
| 252 | #127 | — | 73 | 2 | no | — |
| 253 | #124 | — | 146 | 2 | no | — |
| 254 | #124 | — | 146 | 1 | no | — |
| 255 | #121 | — | 73 | 2 | no | — |
| 256 | #121 | — | 146 | 2 | no | — |
| 257 | #121 | — | 146 | 2 | no | — |
| 258 | #121 | — | 146 | 1 | no | — |
| 259 | C4×D4 | — | 73 | 2 | no | — |
| 260 | C4×D4 | — | 146 | 2 | no | — |
| 261 | C4×D4 | — | 146 | 1 | no | — |
| 262 | C4×D4 | — | 146 | 2 | no | — |
| 263 | C2×C42 | C22×D73 | 1 | 1 | yes | characteristic |
| 264 | #107 | — | 146 | 4 | no | — |
| 265 | C4⋊C8 | — | 2 | 2 | no | — |
| 266 | C4⋊C8 | — | 73 | 2 | no | — |
| 267 | C4⋊C8 | — | 146 | 1 | no | — |
| 268 | C4⋊C8 | C22×D73 | 1 | 4 | yes | — |
| 269 | #102 | — | 146 | 4 | no | — |
| 270 | #102 | — | 146 | 4 | no | — |
| 271 | C22⋊C8 | — | 146 | 2 | no | — |
| 272 | C22⋊C8 | — | 146 | 2 | no | — |
| 273 | C4×C8 | D292 | 1 | 1 | yes | characteristic |
| 274 | C4×C8 | D292 | 1 | 1 | yes | characteristic |
| 275 | C4×C8 | C22×D73 | 1 | 1 | yes | characteristic |
| 276 | C4×C8 | C22×D73 | 1 | 1 | yes | characteristic |
| 277 | #41 | — | 292 | 2 | no | — |
| 278 | #41 | — | 292 | 2 | no | — |
| 279 | #41 | — | 292 | 4 | no | — |
| 280 | #41 | — | 292 | 4 | no | — |
| 281 | C2×Q8 | — | 146 | 2 | no | — |
| 282 | C2×Q8 | — | 146 | 1 | no | — |
| 283 | C2×D4 | — | 292 | 2 | no | — |
| 284 | C2×D4 | — | 73 | 2 | no | — |
| 285 | C2×D4 | — | 146 | 2 | no | — |
| 286 | C2×D4 | — | 146 | 1 | no | — |
| 287 | C2×D4 | — | 146 | 1 | no | — |
| 288 | C2×D4 | — | 146 | 2 | no | — |
| 289 | C2×D4 | — | 146 | 2 | no | — |
| 290 | C2×D4 | — | 146 | 2 | no | — |
| 291 | C22×C4 | — | 292 | 2 | no | — |
| 292 | C22×C4 | — | 146 | 2 | no | — |
| 293 | C22×C4 | D4×D73 | 1 | 1 | yes | characteristic |
| 294 | C22×C4 | C2×D292 | 1 | 1 | yes | characteristic |
| 295 | C22×C4 | #11924029 | 1 | 1 | yes | characteristic |
| 296 | Q16 | — | 292 | 2 | no | — |
| 297 | Q16 | — | 292 | 2 | no | — |
| 298 | SD16 | — | 292 | 4 | no | — |
| 299 | SD16 | — | 292 | 4 | no | — |
| 300 | D8 | — | 292 | 2 | no | — |
| 301 | D8 | — | 292 | 2 | no | — |
| 302 | D8 | — | 584 | 4 | no | — |
| 303 | M16 | — | 292 | 2 | no | — |
| 304 | M16 | — | 292 | 4 | no | — |
| 305 | C2×C8 | — | 2 | 2 | no | — |
| 306 | C2×C8 | — | 2 | 4 | no | — |
| 307 | C2×C8 | — | 8 | 2 | no | — |
| 308 | C2×C8 | — | 292 | 4 | no | — |
| 309 | C2×C8 | — | 146 | 2 | no | — |
| 310 | C2×C8 | D584 | 1 | 4 | yes | complemented |
| 311 | C2×C8 | C2×D292 | 1 | 1 | yes | characteristic |
| 312 | C2×C8 | C2×D292 | 1 | 1 | yes | characteristic |
| 313 | C2×C8 | C2×D292 | 1 | 1 | yes | characteristic |
| 314 | C2×C8 | C2×D292 | 1 | 1 | yes | characteristic |
| 315 | C4⋊C4 | — | 73 | 2 | no | — |
| 316 | C4⋊C4 | — | 146 | 2 | no | — |
| 317 | C4⋊C4 | — | 146 | 2 | no | — |
| 318 | C4⋊C4 | — | 146 | 1 | no | — |
| 319 | C22⋊C4 | — | 292 | 2 | no | — |
| 320 | C22⋊C4 | — | 292 | 2 | no | — |
| 321 | C22⋊C4 | — | 146 | 2 | no | — |
| 322 | C22⋊C4 | — | 146 | 2 | no | — |
| 323 | C42 | D4×D73 | 1 | 1 | yes | characteristic |
| 324 | C42 | C2×D292 | 1 | 1 | yes | characteristic |
| 325 | C42 | #11924029 | 1 | 1 | yes | characteristic |
| 326 | C42 | C23×D73 | 1 | 1 | yes | characteristic |
| 327 | C23 | — | 292 | 2 | no | — |
| 328 | C23 | — | 146 | 2 | no | — |
| 329 | C23 | #14556566 | 1 | 1 | yes | characteristic |
| 330 | Q8 | — | 292 | 2 | no | — |
| 331 | Q8 | — | 292 | 2 | no | — |
| 332 | Q8 | — | 292 | 2 | no | — |
| 333 | D4 | — | 292 | 2 | no | — |
| 334 | D4 | — | 292 | 4 | no | — |
| 335 | D4 | — | 292 | 2 | no | — |
| 336 | D4 | — | 292 | 2 | no | — |
| 337 | D4 | — | 292 | 2 | no | — |
| 338 | D4 | — | 292 | 2 | no | — |
| 339 | D4 | — | 292 | 2 | no | — |
| 340 | D4 | — | 584 | 2 | no | — |
| 341 | D4 | — | 584 | 4 | no | — |
| 342 | D4 | — | 146 | 4 | no | — |
| 343 | C2×C4 | — | 2 | 2 | no | — |
| 344 | C2×C4 | — | 4 | 1 | no | — |
| 345 | C2×C4 | — | 292 | 2 | no | — |
| 346 | C2×C4 | — | 292 | 2 | no | — |
| 347 | C2×C4 | — | 292 | 2 | no | — |
| 348 | C2×C4 | — | 584 | 4 | no | — |
| 349 | C2×C4 | — | 146 | 2 | no | — |
| 350 | C2×C4 | #14556566 | 1 | 1 | yes | characteristic |
| 351 | C2×C4 | #14556566 | 1 | 1 | yes | characteristic |
| 352 | C2×C4 | #14556566 | 1 | 1 | yes | characteristic |
| 353 | C2×C4 | C2×D584 | 1 | 2 | yes | — |
| 354 | C2×C4 | #14556619 | 1 | 2 | yes | — |
| 355 | C2×C4 | C2×D4×D73 | 1 | 1 | yes | characteristic |
| 356 | C2×C4 | C22×D292 | 1 | 1 | yes | characteristic |
| 357 | C2×C4 | C2×#11924029 | 1 | 1 | yes | characteristic |
| 358 | C8 | — | 2 | 1 | no | — |
| 359 | C8 | — | 2 | 1 | no | — |
| 360 | C8 | — | 4 | 4 | no | — |
| 361 | C8 | — | 292 | 2 | no | — |
| 362 | C8 | C2×D584 | 1 | 2 | yes | — |
| 363 | C8 | C2×D584 | 1 | 2 | yes | — |
| 364 | C22 | — | 2 | 1 | no | — |
| 365 | C22 | — | 2 | 1 | no | — |
| 366 | C22 | — | 292 | 2 | no | — |
| 367 | C22 | — | 292 | 2 | no | — |
| 368 | C22 | — | 292 | 2 | no | — |
| 369 | C22 | — | 584 | 2 | no | — |
| 370 | C22 | — | 584 | 2 | no | — |
| 371 | C22 | — | 584 | 2 | no | — |
| 372 | C22 | #17988783 | 1 | 2 | yes | — |
| 373 | C22 | C2×#14556566 | 1 | 1 | yes | characteristic |
| 374 | C4 | — | 2 | 1 | no | — |
| 375 | C4 | — | 2 | 1 | no | — |
| 376 | C4 | — | 2 | 1 | no | — |
| 377 | C4 | — | 292 | 2 | no | — |
| 378 | C4 | — | 584 | 2 | no | — |
| 379 | C4 | #17988783 | 1 | 2 | yes | — |
| 380 | C4 | C22×D584 | 1 | 1 | yes | characteristic |
| 381 | C4 | C2×#14556619 | 1 | 1 | yes | characteristic |
| 382 | C4 | #17989393 | 1 | 2 | yes | — |
| 383 | C2 | — | 2 | 2 | no | — |
| 384 | C2 | — | 584 | 2 | no | — |
| 385 | C2 | — | 1168 | 2 | no | — |
| 386 | C2 | C2×#17988783 | 1 | 1 | yes | characteristic |
| 387 | C2 | #22619594 | 1 | 1 | yes | characteristic |
| 388 | C2 | #22619652 | 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