← #15833470
Subgroups — #15833470
Order 3328.
666 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Conjugacy classes of subgroups
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|
| 1 | #13123771 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13123548 | C2 | 1 | 1 | yes | maximal, characteristic |
| 3 | #13113739 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | SD16⋊#1055 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13113595 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13113291 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13113287 | C2 | 1 | 1 | yes | maximal, characteristic |
| 8 | C2×#11718047 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | C13×#3167 | C2 | 1 | 1 | yes | maximal, characteristic |
| 10 | C13×#533 | C22 | 1 | 1 | yes | characteristic |
| 11 | C13×#532 | C22 | 1 | 1 | yes | characteristic |
| 12 | C2×#88202 | — | 2 | 1 | no | — |
| 13 | C13×#498 | C4 | 1 | 1 | yes | characteristic |
| 14 | C13×#492 | C4 | 1 | 1 | yes | characteristic |
| 15 | C13×#487 | C4 | 1 | 1 | yes | characteristic |
| 16 | C13×#486 | C4 | 1 | 1 | yes | characteristic |
| 17 | C13×#465 | C4 | 1 | 4 | yes | — |
| 18 | C4×C13×SD16 | C22 | 1 | 4 | yes | — |
| 19 | C2×C4×C8×C13 | C22 | 1 | 1 | yes | characteristic |
| 20 | #11718895 | — | 2 | 1 | no | — |
| 21 | #11718685 | — | 2 | 1 | no | — |
| 22 | #11718685 | C22 | 1 | 2 | yes | — |
| 23 | Q8×#1055 | — | 2 | 1 | no | — |
| 24 | Q8×#1055 | C22 | 1 | 2 | yes | — |
| 25 | #11718673 | — | 2 | 1 | no | — |
| 26 | #11718673 | C22 | 1 | 2 | yes | — |
| 27 | D4×#1055 | — | 2 | 1 | no | — |
| 28 | D4×#1055 | C22 | 1 | 2 | yes | — |
| 29 | #11718660 | — | 2 | 1 | no | — |
| 30 | #11718658 | — | 2 | 1 | no | — |
| 31 | #11718585 | C22 | 1 | 1 | yes | characteristic |
| 32 | #11718585 | C22 | 1 | 1 | yes | characteristic |
| 33 | C2×C4×#1055 | C22 | 1 | 1 | yes | characteristic |
| 34 | C2×C4×#1055 | C22 | 1 | 1 | yes | characteristic |
| 35 | Q8⋊#1055 | C22 | 1 | 4 | yes | — |
| 36 | D4⋊#1055 | C22 | 1 | 4 | yes | — |
| 37 | #11718050 | C22 | 1 | 4 | yes | — |
| 38 | #11718047 | C22 | 1 | 2 | yes | — |
| 39 | #11718047 | C22 | 1 | 2 | yes | — |
| 40 | C2×C13×#41 | — | 2 | 1 | no | — |
| 41 | C2×C13×SD16 | C2×C4 | 1 | 4 | yes | — |
| 42 | C22×C8×C13 | C2×C4 | 1 | 2 | yes | — |
| 43 | C13×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 44 | C13×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 45 | C13×C4⋊Q8 | C2×C4 | 1 | 1 | yes | characteristic |
| 46 | C13×#127 | C2×C4 | 1 | 1 | yes | characteristic |
| 47 | C13×#125 | — | 2 | 1 | no | — |
| 48 | C13×#124 | — | 2 | 1 | no | — |
| 49 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 50 | C13×C22⋊Q8 | C2×C4 | 1 | 2 | yes | — |
| 51 | C13×#121 | — | 2 | 1 | no | — |
| 52 | C13×#121 | C2×C4 | 1 | 2 | yes | — |
| 53 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 54 | C4×Q8×C13 | C23 | 1 | 2 | yes | — |
| 55 | C4×D4×C13 | — | 2 | 1 | no | — |
| 56 | C4×D4×C13 | C23 | 1 | 2 | yes | — |
| 57 | C13×#117 | — | 2 | 1 | no | — |
| 58 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 59 | #88202 | — | 4 | 4 | no | — |
| 60 | C2×#6099 | — | 2 | 1 | no | — |
| 61 | C2×#6099 | — | 2 | 1 | no | — |
| 62 | C2×#6099 | — | 2 | 2 | no | — |
| 63 | C22×#1055 | — | 2 | 1 | no | — |
| 64 | C22×#1055 | — | 2 | 2 | no | — |
| 65 | C22×#1055 | D4 | 1 | 1 | yes | characteristic |
| 66 | C22×#1055 | D4 | 1 | 1 | yes | characteristic |
| 67 | C13×#106 | C2×C4 | 1 | 4 | yes | — |
| 68 | C13×#103 | C2×C4 | 1 | 4 | yes | — |
| 69 | C13×#102 | C2×C4 | 1 | 4 | yes | — |
| 70 | C4×C8×C13 | C2×C4 | 1 | 1 | yes | characteristic |
| 71 | C4×C8×C13 | C2×C4 | 1 | 1 | yes | characteristic |
| 72 | C4×C8×C13 | C23 | 1 | 2 | yes | — |
| 73 | C22⋊#1055 | — | 2 | 2 | no | — |
| 74 | C22⋊#1055 | — | 2 | 2 | no | — |
| 75 | C4⋊#1055 | — | 2 | 1 | no | — |
| 76 | C4⋊#1055 | — | 2 | 1 | no | — |
| 77 | C4⋊#1055 | — | 2 | 2 | no | — |
| 78 | C4⋊#1055 | — | 2 | 2 | no | — |
| 79 | C4⋊#1055 | C23 | 1 | 2 | yes | — |
| 80 | C4⋊#1055 | C23 | 1 | 2 | yes | — |
| 81 | #88043 | — | 2 | 2 | no | — |
| 82 | C4×#1055 | — | 2 | 1 | no | — |
| 83 | C4×#1055 | — | 2 | 2 | no | — |
| 84 | C4×#1055 | D4 | 1 | 1 | yes | characteristic |
| 85 | C4×#1055 | D4 | 1 | 1 | yes | characteristic |
| 86 | C4×#1055 | C23 | 1 | 2 | yes | — |
| 87 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 88 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 89 | #17960 | — | 13 | 1 | no | maximal, Sylow |
| 90 | C13×#41 | — | 4 | 2 | no | — |
| 91 | C13×#41 | — | 4 | 2 | no | — |
| 92 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 93 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 94 | C2×Q8×C13 | C22×C4 | 1 | 2 | yes | — |
| 95 | C2×D4×C13 | — | 2 | 2 | no | — |
| 96 | C2×D4×C13 | — | 2 | 1 | no | — |
| 97 | C2×D4×C13 | — | 2 | 1 | no | — |
| 98 | C2×D4×C13 | C22×C4 | 1 | 2 | yes | — |
| 99 | C22×C4×C13 | — | 2 | 2 | no | — |
| 100 | C22×C4×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 101 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 102 | C22×C4×C13 | #41 | 1 | 1 | yes | characteristic |
| 103 | C13×SD16 | — | 2 | 8 | no | — |
| 104 | C2×C8×C13 | — | 2 | 4 | no | — |
| 105 | C2×C8×C13 | C22×C4 | 1 | 2 | yes | — |
| 106 | C2×C8×C13 | C22×C4 | 1 | 2 | yes | — |
| 107 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 108 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 109 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 110 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 111 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 112 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 113 | C13×C4⋊C4 | C22×C4 | 1 | 2 | yes | — |
| 114 | C13×C4⋊C4 | C22×C4 | 1 | 2 | yes | — |
| 115 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 116 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 117 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 118 | C42×C13 | — | 2 | 2 | no | — |
| 119 | C42×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 120 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 121 | C42×C13 | #41 | 1 | 1 | yes | characteristic |
| 122 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 123 | #6099 | — | 4 | 4 | no | — |
| 124 | #6099 | — | 4 | 2 | no | — |
| 125 | #6099 | — | 4 | 2 | no | — |
| 126 | C2×#1055 | — | 2 | 2 | no | — |
| 127 | C2×#1055 | — | 2 | 2 | no | — |
| 128 | C2×#1055 | — | 2 | 2 | no | — |
| 129 | C2×#1055 | — | 2 | 2 | no | — |
| 130 | C2×#1055 | — | 2 | 2 | no | — |
| 131 | C2×#1055 | — | 4 | 4 | no | — |
| 132 | C2×#1055 | — | 4 | 2 | no | — |
| 133 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 134 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 135 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 136 | C2×#1055 | C2×D4 | 1 | 1 | yes | characteristic |
| 137 | #3167 | D13 | 1 | 1 | yes | characteristic |
| 138 | #2960 | — | 13 | 1 | no | — |
| 139 | #2931 | — | 13 | 1 | no | — |
| 140 | #1592 | — | 13 | 4 | no | — |
| 141 | SD16⋊C8 | — | 13 | 4 | no | — |
| 142 | #1567 | — | 13 | 1 | no | — |
| 143 | #1493 | — | 13 | 1 | no | — |
| 144 | #1492 | — | 13 | 1 | no | — |
| 145 | C2×#322 | — | 13 | 1 | no | — |
| 146 | C23×C13 | — | 2 | 2 | no | — |
| 147 | C23×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 148 | Q8×C13 | — | 2 | 4 | no | — |
| 149 | Q8×C13 | — | 4 | 2 | no | — |
| 150 | Q8×C13 | — | 4 | 2 | no | — |
| 151 | D4×C13 | — | 2 | 4 | no | — |
| 152 | D4×C13 | — | 4 | 4 | no | — |
| 153 | D4×C13 | — | 4 | 2 | no | — |
| 154 | D4×C13 | — | 4 | 2 | no | — |
| 155 | C2×C4×C13 | — | 2 | 2 | no | — |
| 156 | C2×C4×C13 | — | 2 | 2 | no | — |
| 157 | C2×C4×C13 | — | 2 | 2 | no | — |
| 158 | C2×C4×C13 | — | 2 | 2 | no | — |
| 159 | C2×C4×C13 | — | 2 | 2 | no | — |
| 160 | C2×C4×C13 | — | 4 | 2 | no | — |
| 161 | C2×C4×C13 | — | 4 | 2 | no | — |
| 162 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 163 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 164 | C2×C4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 165 | C2×C4×C13 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 166 | C2×C4×C13 | #137 | 1 | 2 | yes | — |
| 167 | C2×C4×C13 | C23×C4 | 1 | 1 | yes | characteristic |
| 168 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 169 | C2×C4×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 170 | C8×C13 | — | 2 | 2 | no | — |
| 171 | C8×C13 | #131 | 1 | 4 | yes | complemented |
| 172 | #1055 | — | 2 | 1 | no | — |
| 173 | #1055 | — | 2 | 1 | no | — |
| 174 | #1055 | — | 2 | 1 | no | — |
| 175 | #1055 | — | 2 | 1 | no | — |
| 176 | #1055 | — | 4 | 2 | no | — |
| 177 | #1055 | — | 4 | 2 | no | — |
| 178 | #1055 | — | 4 | 2 | no | — |
| 179 | C2×#131 | — | 26 | 1 | no | — |
| 180 | #533 | C2×D13 | 1 | 1 | yes | characteristic |
| 181 | #532 | C2×D13 | 1 | 1 | yes | characteristic |
| 182 | #498 | Dic13 | 1 | 1 | yes | characteristic |
| 183 | #492 | Dic13 | 1 | 1 | yes | characteristic |
| 184 | #487 | Dic13 | 1 | 1 | yes | characteristic |
| 185 | #486 | Dic13 | 1 | 1 | yes | characteristic |
| 186 | #465 | Dic13 | 1 | 4 | yes | — |
| 187 | #446 | — | 13 | 2 | no | — |
| 188 | #446 | — | 26 | 1 | no | — |
| 189 | C8×Q8 | — | 13 | 2 | no | — |
| 190 | C8×Q8 | — | 26 | 1 | no | — |
| 191 | C4×SD16 | C2×D13 | 1 | 4 | yes | — |
| 192 | #436 | — | 13 | 2 | no | — |
| 193 | #436 | — | 26 | 1 | no | — |
| 194 | C8×D4 | — | 13 | 2 | no | — |
| 195 | C8×D4 | — | 26 | 1 | no | — |
| 196 | #424 | — | 26 | 1 | no | — |
| 197 | #423 | — | 13 | 1 | no | — |
| 198 | #423 | — | 13 | 1 | no | — |
| 199 | #408 | — | 26 | 1 | no | — |
| 200 | #405 | — | 26 | 1 | no | — |
| 201 | C2×C4×C8 | — | 13 | 1 | no | — |
| 202 | C2×C4×C8 | — | 13 | 1 | no | — |
| 203 | C2×C4×C8 | C2×D13 | 1 | 1 | yes | characteristic |
| 204 | #335 | — | 13 | 4 | no | — |
| 205 | Q8⋊C8 | — | 13 | 4 | no | — |
| 206 | D4⋊C8 | — | 13 | 4 | no | — |
| 207 | #322 | — | 13 | 2 | no | — |
| 208 | #322 | — | 13 | 2 | no | — |
| 209 | C22×C13 | — | 2 | 1 | no | — |
| 210 | C22×C13 | — | 2 | 1 | no | — |
| 211 | C22×C13 | — | 4 | 2 | no | — |
| 212 | C22×C13 | — | 4 | 2 | no | — |
| 213 | C22×C13 | — | 4 | 2 | no | — |
| 214 | C22×C13 | #440 | 1 | 2 | yes | — |
| 215 | C22×C13 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 216 | C4×C13 | — | 2 | 1 | no | — |
| 217 | C4×C13 | — | 2 | 1 | no | — |
| 218 | C4×C13 | — | 4 | 2 | no | — |
| 219 | C4×C13 | — | 4 | 2 | no | — |
| 220 | C4×C13 | — | 4 | 2 | no | — |
| 221 | C4×C13 | #440 | 1 | 2 | yes | — |
| 222 | C4×C13 | #444 | 1 | 2 | yes | — |
| 223 | C4×C13 | C2×#131 | 1 | 2 | yes | — |
| 224 | C4×C13 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 225 | C4×C13 | C2×#137 | 1 | 1 | yes | characteristic |
| 226 | C2×#41 | — | 2 | 1 | no | — |
| 227 | C2×SD16 | C2×Dic13 | 1 | 4 | yes | — |
| 228 | #131 | — | 52 | 4 | no | — |
| 229 | C2×M16 | — | 26 | 2 | no | — |
| 230 | C2×M16 | — | 26 | 1 | no | — |
| 231 | C2×M16 | — | 26 | 1 | no | — |
| 232 | C22×C8 | — | 13 | 1 | no | — |
| 233 | C22×C8 | — | 13 | 1 | no | — |
| 234 | C22×C8 | — | 26 | 2 | no | — |
| 235 | C22×C8 | — | 26 | 1 | no | — |
| 236 | C22×C8 | C2×Dic13 | 1 | 2 | yes | — |
| 237 | C4⋊Q8 | C2×Dic13 | 1 | 1 | yes | characteristic |
| 238 | C4⋊Q8 | C2×Dic13 | 1 | 1 | yes | characteristic |
| 239 | C4⋊Q8 | C2×Dic13 | 1 | 1 | yes | characteristic |
| 240 | #127 | C2×Dic13 | 1 | 1 | yes | characteristic |
| 241 | #125 | — | 2 | 1 | no | — |
| 242 | #124 | — | 2 | 1 | no | — |
| 243 | C22⋊Q8 | — | 2 | 1 | no | — |
| 244 | C22⋊Q8 | C2×Dic13 | 1 | 2 | yes | — |
| 245 | #121 | — | 2 | 1 | no | — |
| 246 | #121 | C2×Dic13 | 1 | 2 | yes | — |
| 247 | C4×Q8 | — | 2 | 1 | no | — |
| 248 | C4×Q8 | C22×D13 | 1 | 2 | yes | — |
| 249 | C4×D4 | — | 2 | 1 | no | — |
| 250 | C4×D4 | C22×D13 | 1 | 2 | yes | — |
| 251 | #117 | — | 2 | 1 | no | — |
| 252 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 253 | #106 | C2×Dic13 | 1 | 4 | yes | — |
| 254 | C4⋊C8 | — | 13 | 2 | no | — |
| 255 | C4⋊C8 | — | 13 | 2 | no | — |
| 256 | C4⋊C8 | — | 26 | 2 | no | — |
| 257 | C4⋊C8 | — | 26 | 2 | no | — |
| 258 | C4⋊C8 | — | 26 | 1 | no | — |
| 259 | C4⋊C8 | — | 26 | 1 | no | — |
| 260 | #103 | C2×Dic13 | 1 | 4 | yes | — |
| 261 | #102 | C2×Dic13 | 1 | 4 | yes | — |
| 262 | C22⋊C8 | — | 26 | 2 | no | — |
| 263 | C22⋊C8 | — | 26 | 2 | no | — |
| 264 | #97 | — | 26 | 2 | no | — |
| 265 | C4×C8 | — | 13 | 1 | no | — |
| 266 | C4×C8 | — | 13 | 1 | no | — |
| 267 | C4×C8 | — | 13 | 1 | no | — |
| 268 | C4×C8 | — | 13 | 1 | no | — |
| 269 | C4×C8 | — | 13 | 2 | no | — |
| 270 | C4×C8 | — | 26 | 2 | no | — |
| 271 | C4×C8 | — | 26 | 1 | no | — |
| 272 | C4×C8 | C2×Dic13 | 1 | 1 | yes | characteristic |
| 273 | C4×C8 | C2×Dic13 | 1 | 1 | yes | characteristic |
| 274 | C4×C8 | C22×D13 | 1 | 2 | yes | — |
| 275 | C2×C13 | — | 2 | 2 | no | — |
| 276 | C2×C13 | — | 8 | 2 | no | — |
| 277 | C2×C13 | #2931 | 1 | 1 | yes | characteristic |
| 278 | C2×C13 | C2×#440 | 1 | 1 | yes | characteristic |
| 279 | C2×C13 | C2×#444 | 1 | 1 | yes | characteristic |
| 280 | #41 | — | 4 | 2 | no | — |
| 281 | #41 | — | 4 | 2 | no | — |
| 282 | C2×Q8 | — | 2 | 1 | no | — |
| 283 | C2×Q8 | — | 2 | 1 | no | — |
| 284 | C2×Q8 | C22×Dic13 | 1 | 2 | yes | — |
| 285 | C2×D4 | — | 2 | 2 | no | — |
| 286 | C2×D4 | — | 2 | 1 | no | — |
| 287 | C2×D4 | — | 2 | 1 | no | — |
| 288 | C2×D4 | C22×Dic13 | 1 | 2 | yes | — |
| 289 | C22×C4 | — | 2 | 2 | no | — |
| 290 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 291 | C22×C4 | #6129 | 1 | 1 | yes | characteristic |
| 292 | C22×C4 | C22×Dic13 | 1 | 1 | yes | characteristic |
| 293 | SD16 | — | 2 | 8 | no | — |
| 294 | M16 | — | 52 | 4 | no | — |
| 295 | M16 | — | 52 | 2 | no | — |
| 296 | M16 | — | 52 | 2 | no | — |
| 297 | C2×C8 | — | 2 | 4 | no | — |
| 298 | C2×C8 | — | 13 | 1 | no | — |
| 299 | C2×C8 | — | 13 | 1 | no | — |
| 300 | C2×C8 | — | 13 | 1 | no | — |
| 301 | C2×C8 | — | 13 | 1 | no | — |
| 302 | C2×C8 | — | 26 | 2 | no | — |
| 303 | C2×C8 | — | 26 | 2 | no | — |
| 304 | C2×C8 | — | 26 | 2 | no | — |
| 305 | C2×C8 | — | 26 | 2 | no | — |
| 306 | C2×C8 | — | 26 | 2 | no | — |
| 307 | C2×C8 | — | 52 | 4 | no | — |
| 308 | C2×C8 | — | 52 | 2 | no | — |
| 309 | C2×C8 | C22×Dic13 | 1 | 2 | yes | — |
| 310 | C2×C8 | C22×Dic13 | 1 | 2 | yes | — |
| 311 | C4⋊C4 | — | 2 | 1 | no | — |
| 312 | C4⋊C4 | — | 2 | 1 | no | — |
| 313 | C4⋊C4 | — | 2 | 1 | no | — |
| 314 | C4⋊C4 | — | 2 | 1 | no | — |
| 315 | C4⋊C4 | — | 2 | 2 | no | — |
| 316 | C4⋊C4 | — | 2 | 2 | no | — |
| 317 | C4⋊C4 | C22×Dic13 | 1 | 2 | yes | — |
| 318 | C4⋊C4 | C22×Dic13 | 1 | 2 | yes | — |
| 319 | C22⋊C4 | — | 2 | 2 | no | — |
| 320 | C22⋊C4 | — | 2 | 2 | no | — |
| 321 | C22⋊C4 | — | 2 | 2 | no | — |
| 322 | C42 | — | 2 | 2 | no | — |
| 323 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 324 | C42 | #6129 | 1 | 1 | yes | characteristic |
| 325 | C42 | C22×Dic13 | 1 | 1 | yes | characteristic |
| 326 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 327 | C13 | #17960 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 328 | C23 | — | 2 | 2 | no | — |
| 329 | C23 | D4×Dic13 | 1 | 1 | yes | characteristic |
| 330 | Q8 | — | 2 | 4 | no | — |
| 331 | Q8 | — | 4 | 2 | no | — |
| 332 | Q8 | — | 4 | 2 | no | — |
| 333 | D4 | — | 2 | 4 | no | — |
| 334 | D4 | — | 4 | 4 | no | — |
| 335 | D4 | — | 4 | 2 | no | — |
| 336 | D4 | — | 4 | 2 | no | — |
| 337 | C2×C4 | — | 2 | 2 | no | — |
| 338 | C2×C4 | — | 2 | 2 | no | — |
| 339 | C2×C4 | — | 2 | 2 | no | — |
| 340 | C2×C4 | — | 2 | 2 | no | — |
| 341 | C2×C4 | — | 2 | 2 | no | — |
| 342 | C2×C4 | — | 4 | 2 | no | — |
| 343 | C2×C4 | — | 4 | 2 | no | — |
| 344 | C2×C4 | #88168 | 1 | 2 | yes | — |
| 345 | C2×C4 | #88169 | 1 | 2 | yes | — |
| 346 | C2×C4 | D4×Dic13 | 1 | 1 | yes | characteristic |
| 347 | C2×C4 | D4×Dic13 | 1 | 1 | yes | characteristic |
| 348 | C2×C4 | D4×Dic13 | 1 | 1 | yes | characteristic |
| 349 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 350 | C2×C4 | C2×#6129 | 1 | 1 | yes | characteristic |
| 351 | C2×C4 | C23×Dic13 | 1 | 1 | yes | characteristic |
| 352 | C8 | — | 2 | 2 | no | — |
| 353 | C8 | — | 26 | 1 | no | — |
| 354 | C8 | — | 26 | 1 | no | — |
| 355 | C8 | — | 26 | 1 | no | — |
| 356 | C8 | — | 26 | 1 | no | — |
| 357 | C8 | — | 52 | 2 | no | — |
| 358 | C8 | — | 52 | 2 | no | — |
| 359 | C8 | — | 52 | 2 | no | — |
| 360 | C8 | #88202 | 1 | 4 | yes | complemented |
| 361 | C22 | — | 2 | 1 | no | — |
| 362 | C22 | — | 2 | 1 | no | — |
| 363 | C22 | — | 4 | 2 | no | — |
| 364 | C22 | — | 4 | 2 | no | — |
| 365 | C22 | — | 4 | 2 | no | — |
| 366 | C22 | #11718825 | 1 | 2 | yes | — |
| 367 | C22 | C2×D4×Dic13 | 1 | 1 | yes | characteristic |
| 368 | C4 | — | 2 | 1 | no | — |
| 369 | C4 | — | 2 | 1 | no | — |
| 370 | C4 | — | 4 | 2 | no | — |
| 371 | C4 | — | 4 | 2 | no | — |
| 372 | C4 | — | 4 | 2 | no | — |
| 373 | C4 | #11718825 | 1 | 2 | yes | — |
| 374 | C4 | #11718858 | 1 | 2 | yes | — |
| 375 | C4 | C2×#88168 | 1 | 1 | yes | characteristic |
| 376 | C4 | C2×#88169 | 1 | 1 | yes | characteristic |
| 377 | C4 | C2×#88202 | 1 | 2 | yes | — |
| 378 | C2 | — | 2 | 2 | no | — |
| 379 | C2 | — | 8 | 2 | no | — |
| 380 | C2 | #13123548 | 1 | 1 | yes | characteristic |
| 381 | C2 | C2×#11718825 | 1 | 1 | yes | characteristic |
| 382 | C2 | C2×#11718858 | 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