Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2272 conjugacy classes of subgroups.
The subgroup lattice has 600 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129241 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13128609 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13127079 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13126787 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | D4×D104 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #13126458 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #13125756 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13125701 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #13124897 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13124106 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | C13×#2979 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | C2×#88256 | C22 | 1 | 2 | yes | complemented |
| 13 | C13×#532 | C22 | 1 | 1 | yes | characteristic |
| 14 | #11719535 | C22 | 1 | 4 | yes | complemented |
| 15 | #11719535 | C22 | 1 | 2 | yes | complemented |
| 16 | C2×#88162 | C22 | 1 | 4 | yes | complemented |
| 17 | C22×D104 | C22 | 1 | 4 | yes | complemented |
| 18 | #11719439 | — | 2 | 1 | no | — |
| 19 | #11719430 | — | 2 | 1 | no | — |
| 20 | #11719422 | — | 2 | 1 | no | — |
| 21 | D13×#127 | — | 2 | 1 | no | — |
| 22 | #11719388 | — | 2 | 2 | no | — |
| 23 | #11719379 | — | 2 | 2 | no | — |
| 24 | #11719314 | — | 2 | 4 | no | — |
| 25 | #11719312 | — | 2 | 4 | no | — |
| 26 | #11719268 | C22 | 1 | 4 | yes | complemented |
| 27 | #11719258 | C22 | 1 | 4 | yes | complemented |
| 28 | D4×D52 | C22 | 1 | 4 | yes | complemented |
| 29 | D4×D52 | C22 | 1 | 4 | yes | complemented |
| 30 | #11719182 | C22 | 1 | 2 | yes | complemented |
| 31 | C2×#88128 | C22 | 1 | 1 | yes | characteristic, complemented |
| 32 | C4×#6127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | C13×#436 | C22 | 1 | 4 | yes | complemented |
| 34 | C8×D4×C13 | C22 | 1 | 4 | yes | complemented |
| 35 | C13×#431 | C22 | 1 | 2 | yes | complemented |
| 36 | C13×#408 | C22 | 1 | 4 | yes | complemented |
| 37 | #11718796 | C22 | 1 | 8 | yes | complemented |
| 38 | #11718792 | C22 | 1 | 4 | yes | complemented |
| 39 | #11718776 | C22 | 1 | 8 | yes | complemented |
| 40 | #11718774 | C22 | 1 | 4 | yes | complemented |
| 41 | #11718511 | C22 | 1 | 2 | yes | complemented |
| 42 | #11718509 | C22 | 1 | 2 | yes | complemented |
| 43 | #11718504 | C22 | 1 | 2 | yes | complemented |
| 44 | #11718504 | C22 | 1 | 4 | yes | complemented |
| 45 | #11718504 | C22 | 1 | 4 | yes | complemented |
| 46 | #11718503 | C22 | 1 | 2 | yes | complemented |
| 47 | #11718398 | C22 | 1 | 4 | yes | complemented |
| 48 | #11718398 | C22 | 1 | 8 | yes | complemented |
| 49 | #11718395 | C22 | 1 | 4 | yes | complemented |
| 50 | #11718395 | C22 | 1 | 8 | yes | complemented |
| 51 | #11718393 | C22 | 1 | 8 | yes | complemented |
| 52 | #11718393 | C22 | 1 | 8 | yes | complemented |
| 53 | #11718393 | C22 | 1 | 8 | yes | complemented |
| 54 | #11718356 | C22 | 1 | 4 | yes | complemented |
| 55 | #11718355 | C22 | 1 | 4 | yes | complemented |
| 56 | C4×D104 | C22 | 1 | 4 | yes | complemented |
| 57 | C4×#6095 | C22 | 1 | 4 | yes | complemented |
| 58 | C2×C13×#41 | C23 | 1 | 2 | yes | — |
| 59 | #88256 | — | 4 | 4 | no | — |
| 60 | #88256 | — | 4 | 4 | no | — |
| 61 | C2×#6131 | — | 2 | 2 | no | — |
| 62 | C2×D4×D13 | — | 2 | 4 | no | — |
| 63 | C2×D4×D13 | — | 2 | 2 | no | — |
| 64 | C2×D4×D13 | — | 2 | 4 | no | — |
| 65 | C2×D4×D13 | — | 2 | 4 | no | — |
| 66 | C2×#6127 | — | 2 | 2 | no | — |
| 67 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 68 | C2×#6127 | C23 | 1 | 4 | yes | — |
| 69 | C22×D52 | — | 2 | 2 | no | — |
| 70 | C22×D52 | C23 | 1 | 4 | yes | — |
| 71 | C22×D52 | C23 | 1 | 2 | yes | — |
| 72 | C22×D52 | C23 | 1 | 4 | yes | — |
| 73 | C2×C13×M16 | C23 | 1 | 4 | yes | — |
| 74 | C22×C8×C13 | C23 | 1 | 4 | yes | — |
| 75 | C13×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 76 | C13×#127 | D4 | 1 | 1 | yes | characteristic |
| 77 | C13×#124 | D4 | 1 | 2 | yes | — |
| 78 | C13×#121 | D4 | 1 | 4 | yes | — |
| 79 | C4×D4×C13 | C23 | 1 | 4 | yes | — |
| 80 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 81 | #88201 | — | 2 | 2 | no | — |
| 82 | #88201 | — | 2 | 4 | no | — |
| 83 | #88194 | — | 2 | 4 | no | — |
| 84 | #88194 | — | 2 | 4 | no | — |
| 85 | #88194 | — | 2 | 2 | no | — |
| 86 | #88192 | — | 2 | 4 | no | — |
| 87 | #88191 | — | 2 | 4 | no | — |
| 88 | #88191 | — | 2 | 4 | no | — |
| 89 | #88191 | — | 2 | 4 | no | — |
| 90 | #88184 | — | 2 | 2 | no | — |
| 91 | #88184 | C23 | 1 | 4 | yes | — |
| 92 | #88184 | C23 | 1 | 8 | yes | — |
| 93 | #88184 | C23 | 1 | 8 | yes | — |
| 94 | C4×C22⋊D13 | — | 2 | 2 | no | — |
| 95 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 96 | #88180 | C23 | 1 | 4 | yes | — |
| 97 | #88162 | — | 4 | 8 | no | — |
| 98 | C2×D104 | — | 4 | 8 | no | — |
| 99 | C2×D104 | C23 | 1 | 4 | yes | — |
| 100 | C2×D104 | C23 | 1 | 8 | yes | — |
| 101 | C2×D104 | C23 | 1 | 8 | yes | — |
| 102 | C2×#6095 | C23 | 1 | 4 | yes | — |
| 103 | #88149 | — | 2 | 4 | no | — |
| 104 | #88149 | — | 2 | 4 | no | — |
| 105 | #88147 | — | 2 | 4 | no | — |
| 106 | #88146 | — | 2 | 4 | no | — |
| 107 | #88139 | — | 2 | 8 | no | — |
| 108 | #88138 | — | 2 | 8 | no | — |
| 109 | #88136 | — | 2 | 8 | no | — |
| 110 | #88136 | — | 2 | 8 | no | — |
| 111 | #88129 | — | 2 | 2 | no | — |
| 112 | #88128 | — | 2 | 1 | no | — |
| 113 | #88128 | — | 2 | 1 | no | — |
| 114 | #88128 | C23 | 1 | 4 | yes | — |
| 115 | #88128 | C23 | 1 | 2 | yes | — |
| 116 | C4×D52 | — | 2 | 2 | no | — |
| 117 | C4×D52 | C23 | 1 | 2 | yes | — |
| 118 | C4×D52 | C23 | 1 | 4 | yes | — |
| 119 | #88126 | — | 2 | 1 | no | — |
| 120 | C42×D13 | — | 2 | 1 | no | — |
| 121 | #88123 | C23 | 1 | 2 | yes | — |
| 122 | C4×Dic26 | C23 | 1 | 2 | yes | — |
| 123 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 124 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 125 | C13×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 126 | C13×C22⋊C8 | C23 | 1 | 8 | yes | — |
| 127 | C4×C8×C13 | C23 | 1 | 4 | yes | — |
| 128 | #88061 | C23 | 1 | 4 | yes | — |
| 129 | #88061 | C23 | 1 | 8 | yes | — |
| 130 | #88061 | C23 | 1 | 4 | yes | — |
| 131 | #88061 | C23 | 1 | 8 | yes | — |
| 132 | #88061 | C23 | 1 | 4 | yes | — |
| 133 | #88058 | C23 | 1 | 4 | yes | — |
| 134 | #88057 | C23 | 1 | 4 | yes | — |
| 135 | #88056 | C23 | 1 | 4 | yes | — |
| 136 | #61661 | — | 13 | 1 | no | maximal, Sylow |
| 137 | C23×D13 | — | 2 | 4 | no | — |
| 138 | C23×D13 | — | 2 | 2 | no | — |
| 139 | C23×D13 | — | 2 | 4 | no | — |
| 140 | C13×#41 | — | 4 | 2 | no | — |
| 141 | C13×#41 | — | 4 | 2 | no | — |
| 142 | C2×Q8×C13 | C2×D4 | 1 | 2 | yes | — |
| 143 | C2×D4×C13 | C2×D4 | 1 | 4 | yes | — |
| 144 | C2×D4×C13 | C2×D4 | 1 | 4 | yes | — |
| 145 | C2×D4×C13 | C2×D4 | 1 | 2 | yes | — |
| 146 | C22×C4×C13 | C2×D4 | 1 | 2 | yes | — |
| 147 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 148 | C22×C4×C13 | C24 | 1 | 4 | yes | — |
| 149 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 150 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 151 | C2×C22⋊D13 | — | 2 | 8 | no | — |
| 152 | C2×C22⋊D13 | — | 2 | 8 | no | — |
| 153 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 154 | #6131 | — | 4 | 8 | no | — |
| 155 | D4×D13 | — | 4 | 8 | no | — |
| 156 | D4×D13 | — | 4 | 16 | no | — |
| 157 | D4×D13 | — | 8 | 8 | no | — |
| 158 | D4×D13 | — | 8 | 8 | no | — |
| 159 | #6127 | — | 2 | 2 | no | — |
| 160 | #6127 | — | 2 | 2 | no | — |
| 161 | #6127 | — | 2 | 8 | no | — |
| 162 | #6127 | — | 4 | 4 | no | — |
| 163 | #6127 | — | 8 | 4 | no | — |
| 164 | C2×D52 | — | 2 | 8 | no | — |
| 165 | C2×D52 | — | 2 | 2 | no | — |
| 166 | C2×D52 | — | 2 | 2 | no | — |
| 167 | C2×D52 | — | 2 | 4 | no | — |
| 168 | C2×D52 | — | 2 | 4 | no | — |
| 169 | C2×D52 | — | 2 | 4 | no | — |
| 170 | C2×D52 | — | 2 | 2 | no | — |
| 171 | C2×D52 | — | 2 | 4 | no | — |
| 172 | C2×D52 | — | 4 | 4 | no | — |
| 173 | C2×D52 | — | 4 | 2 | no | — |
| 174 | C2×D52 | — | 4 | 2 | no | — |
| 175 | C2×D52 | — | 4 | 4 | no | — |
| 176 | C2×D52 | — | 4 | 4 | no | — |
| 177 | C2×D52 | — | 8 | 4 | no | — |
| 178 | C2×D52 | C24 | 1 | 4 | yes | — |
| 179 | C2×D52 | C24 | 1 | 4 | yes | — |
| 180 | C2×D52 | C24 | 1 | 1 | yes | characteristic |
| 181 | C2×C4×D13 | — | 2 | 1 | no | — |
| 182 | C2×C4×D13 | — | 2 | 2 | no | — |
| 183 | C2×C4×D13 | — | 2 | 4 | no | — |
| 184 | C2×C4×D13 | — | 2 | 4 | no | — |
| 185 | C2×Dic26 | — | 2 | 2 | no | — |
| 186 | C2×Dic26 | C24 | 1 | 1 | yes | characteristic |
| 187 | C13×M16 | — | 4 | 4 | no | — |
| 188 | C2×C8×C13 | — | 4 | 4 | no | — |
| 189 | C2×C8×C13 | C24 | 1 | 4 | yes | — |
| 190 | C2×C8×C13 | C24 | 1 | 4 | yes | — |
| 191 | C13×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 192 | C13×C22⋊C4 | C2×D4 | 1 | 8 | yes | — |
| 193 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | C42×C13 | C24 | 1 | 2 | yes | — |
| 196 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 197 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 198 | #6103 | — | 2 | 2 | no | — |
| 199 | #6103 | — | 2 | 4 | no | — |
| 200 | #6103 | — | 2 | 4 | no | — |
| 201 | #6103 | — | 2 | 8 | no | — |
| 202 | #6103 | — | 2 | 8 | no | — |
| 203 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 204 | C4⋊Dic13 | C24 | 1 | 2 | yes | — |
| 205 | C4⋊Dic13 | C24 | 1 | 4 | yes | — |
| 206 | #6101 | — | 2 | 2 | no | — |
| 207 | C4×Dic13 | — | 2 | 2 | no | — |
| 208 | C4×Dic13 | — | 2 | 1 | no | — |
| 209 | C4×Dic13 | — | 2 | 4 | no | — |
| 210 | D104 | — | 2 | 8 | no | — |
| 211 | D104 | — | 4 | 8 | no | — |
| 212 | D104 | — | 4 | 8 | no | — |
| 213 | #6095 | — | 2 | 8 | no | — |
| 214 | #3549 | — | 13 | 1 | no | — |
| 215 | #3498 | — | 13 | 1 | no | — |
| 216 | #3325 | — | 13 | 4 | no | — |
| 217 | #3305 | — | 13 | 4 | no | — |
| 218 | D4×D8 | — | 13 | 4 | no | — |
| 219 | #3274 | — | 13 | 4 | no | — |
| 220 | #3205 | — | 13 | 2 | no | — |
| 221 | #3199 | — | 13 | 4 | no | — |
| 222 | #3106 | — | 13 | 2 | no | — |
| 223 | #3008 | — | 13 | 4 | no | — |
| 224 | #2979 | D13 | 1 | 1 | yes | characteristic, complemented |
| 225 | C23×C13 | C22×D4 | 1 | 4 | yes | — |
| 226 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 227 | C22×D13 | — | 2 | 1 | no | — |
| 228 | C22×D13 | — | 2 | 4 | no | — |
| 229 | C22×D13 | — | 2 | 4 | no | — |
| 230 | C22×D13 | — | 4 | 8 | no | — |
| 231 | C22×D13 | — | 4 | 4 | no | — |
| 232 | C22×D13 | — | 8 | 4 | no | — |
| 233 | C22×D13 | — | 8 | 4 | no | — |
| 234 | C22×D13 | — | 8 | 8 | no | — |
| 235 | C22×D13 | — | 8 | 8 | no | — |
| 236 | Q8×C13 | — | 4 | 2 | no | — |
| 237 | D4×C13 | — | 2 | 8 | no | — |
| 238 | D4×C13 | — | 4 | 2 | no | — |
| 239 | D4×C13 | — | 4 | 4 | no | — |
| 240 | C2×C4×C13 | — | 2 | 4 | no | — |
| 241 | C2×C4×C13 | — | 2 | 4 | no | — |
| 242 | C2×C4×C13 | — | 2 | 4 | no | — |
| 243 | C2×C4×C13 | — | 2 | 1 | no | — |
| 244 | C2×C4×C13 | — | 2 | 1 | no | — |
| 245 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 246 | C2×C4×C13 | C22×D4 | 1 | 4 | yes | — |
| 247 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 248 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 249 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 250 | C22⋊D13 | — | 2 | 4 | no | — |
| 251 | C22⋊D13 | — | 4 | 8 | no | — |
| 252 | C22⋊D13 | — | 8 | 4 | no | — |
| 253 | C22⋊D13 | — | 8 | 8 | no | — |
| 254 | C22⋊D13 | — | 8 | 8 | no | — |
| 255 | C2×Dic13 | — | 2 | 1 | no | — |
| 256 | C2×Dic13 | — | 2 | 2 | no | — |
| 257 | C2×Dic13 | — | 2 | 4 | no | — |
| 258 | D52 | — | 2 | 1 | no | — |
| 259 | D52 | — | 2 | 4 | no | — |
| 260 | D52 | — | 2 | 4 | no | — |
| 261 | D52 | — | 2 | 4 | no | — |
| 262 | D52 | — | 2 | 4 | no | — |
| 263 | D52 | — | 4 | 8 | no | — |
| 264 | D52 | — | 4 | 4 | no | — |
| 265 | D52 | — | 4 | 8 | no | — |
| 266 | D52 | — | 4 | 4 | no | — |
| 267 | D52 | — | 8 | 4 | no | — |
| 268 | D52 | — | 8 | 4 | no | — |
| 269 | D52 | — | 8 | 2 | no | — |
| 270 | D52 | H(5,𝔽2) | 1 | 2 | yes | — |
| 271 | C4×D13 | — | 2 | 4 | no | — |
| 272 | C4×D13 | — | 4 | 8 | no | — |
| 273 | C4×D13 | — | 4 | 8 | no | — |
| 274 | C4×D13 | — | 4 | 4 | no | — |
| 275 | Dic26 | — | 2 | 1 | no | — |
| 276 | Dic26 | — | 8 | 2 | no | — |
| 277 | Dic26 | H(5,𝔽2) | 1 | 2 | yes | — |
| 278 | C8×C13 | — | 2 | 4 | no | — |
| 279 | C8×C13 | — | 2 | 4 | no | — |
| 280 | C2×H(5,𝔽2) | — | 13 | 2 | no | — |
| 281 | C2×AGL(1,ℤ/8) | — | 13 | 4 | no | — |
| 282 | C22×D8 | — | 13 | 4 | no | — |
| 283 | H(3,𝔽4) | — | 26 | 2 | no | — |
| 284 | #555 | — | 13 | 4 | no | — |
| 285 | #555 | — | 26 | 1 | no | — |
| 286 | #550 | — | 13 | 4 | no | — |
| 287 | D42 | — | 13 | 4 | no | — |
| 288 | D42 | — | 13 | 4 | no | — |
| 289 | D42 | — | 26 | 1 | no | — |
| 290 | D42 | — | 26 | 4 | no | — |
| 291 | #535 | — | 13 | 2 | no | — |
| 292 | #535 | — | 13 | 4 | no | — |
| 293 | #535 | — | 26 | 2 | no | — |
| 294 | #535 | — | 26 | 4 | no | — |
| 295 | #532 | — | 13 | 2 | no | — |
| 296 | #532 | — | 26 | 1 | no | — |
| 297 | #532 | C2×D13 | 1 | 1 | yes | characteristic |
| 298 | C2×#127 | — | 13 | 1 | no | — |
| 299 | C2×#127 | — | 26 | 1 | no | — |
| 300 | C4×#41 | — | 13 | 1 | no | — |
| 301 | #493 | — | 13 | 4 | no | — |
| 302 | #486 | — | 13 | 4 | no | — |
| 303 | #482 | — | 13 | 4 | no | — |
| 304 | #482 | — | 13 | 8 | no | — |
| 305 | #477 | — | 13 | 2 | no | — |
| 306 | #476 | — | 13 | 2 | no | — |
| 307 | #469 | — | 13 | 8 | no | — |
| 308 | #466 | — | 13 | 8 | no | — |
| 309 | #460 | — | 13 | 2 | no | — |
| 310 | #459 | — | 13 | 2 | no | — |
| 311 | #459 | — | 13 | 4 | no | — |
| 312 | #459 | — | 13 | 4 | no | — |
| 313 | #449 | — | 13 | 4 | no | — |
| 314 | #449 | — | 13 | 8 | no | — |
| 315 | #447 | — | 13 | 8 | no | — |
| 316 | #447 | — | 13 | 8 | no | — |
| 317 | #447 | — | 13 | 8 | no | — |
| 318 | C4×SD16 | — | 13 | 4 | no | — |
| 319 | C4×D8 | — | 13 | 4 | no | — |
| 320 | #436 | C2×D13 | 1 | 4 | yes | complemented |
| 321 | C8×D4 | C2×D13 | 1 | 4 | yes | complemented |
| 322 | #431 | C2×D13 | 1 | 2 | yes | complemented |
| 323 | #418 | — | 13 | 4 | no | — |
| 324 | #416 | — | 13 | 4 | no | — |
| 325 | #408 | C2×D13 | 1 | 4 | yes | complemented |
| 326 | C22×C13 | — | 2 | 1 | no | — |
| 327 | C22×C13 | — | 2 | 4 | no | — |
| 328 | C22×C13 | — | 2 | 2 | no | — |
| 329 | C22×C13 | — | 2 | 8 | no | — |
| 330 | C22×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 331 | C2×D13 | — | 2 | 2 | no | — |
| 332 | C2×D13 | — | 4 | 2 | no | — |
| 333 | C2×D13 | — | 4 | 4 | no | — |
| 334 | C2×D13 | — | 4 | 4 | no | — |
| 335 | C2×D13 | — | 4 | 4 | no | — |
| 336 | C2×D13 | — | 4 | 8 | no | — |
| 337 | C2×D13 | — | 4 | 4 | no | — |
| 338 | C2×D13 | — | 16 | 8 | no | — |
| 339 | C2×D13 | — | 16 | 4 | no | — |
| 340 | C2×D13 | — | 16 | 8 | no | — |
| 341 | C4×C13 | — | 2 | 1 | no | — |
| 342 | C4×C13 | — | 2 | 4 | no | — |
| 343 | C4×C13 | — | 2 | 2 | no | — |
| 344 | C4×C13 | #576 | 1 | 4 | yes | — |
| 345 | C4×C13 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 346 | C4×C13 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 347 | Dic13 | — | 2 | 2 | no | — |
| 348 | Dic13 | — | 4 | 4 | no | — |
| 349 | Dic13 | — | 4 | 2 | no | — |
| 350 | H(5,𝔽2) | — | 52 | 4 | no | — |
| 351 | H(5,𝔽2) | — | 52 | 4 | no | — |
| 352 | C2×#41 | — | 13 | 1 | no | — |
| 353 | C2×#41 | — | 13 | 4 | no | — |
| 354 | C2×#41 | — | 26 | 2 | no | — |
| 355 | C2×#41 | — | 26 | 2 | no | — |
| 356 | C2×#41 | C22×D13 | 1 | 2 | yes | — |
| 357 | C22×D4 | — | 13 | 4 | no | — |
| 358 | C22×D4 | — | 13 | 2 | no | — |
| 359 | C22×D4 | — | 13 | 4 | no | — |
| 360 | C22×D4 | — | 26 | 2 | no | — |
| 361 | C22×D4 | — | 26 | 4 | no | — |
| 362 | C22×D4 | — | 26 | 4 | no | — |
| 363 | C22×D4 | — | 26 | 4 | no | — |
| 364 | C22×D4 | — | 26 | 2 | no | — |
| 365 | AGL(1,ℤ/8) | — | 52 | 8 | no | — |
| 366 | C2×SD16 | — | 13 | 4 | no | — |
| 367 | C2×D8 | — | 13 | 4 | no | — |
| 368 | C2×D8 | — | 13 | 8 | no | — |
| 369 | C2×D8 | — | 13 | 8 | no | — |
| 370 | C2×D8 | — | 52 | 8 | no | — |
| 371 | C2×M16 | C22×D13 | 1 | 4 | yes | — |
| 372 | C22×C8 | C22×D13 | 1 | 4 | yes | — |
| 373 | C4⋊Q8 | — | 13 | 2 | no | — |
| 374 | C4⋊Q8 | D52 | 1 | 1 | yes | characteristic |
| 375 | #127 | — | 13 | 4 | no | — |
| 376 | #127 | — | 13 | 2 | no | — |
| 377 | #127 | — | 26 | 2 | no | — |
| 378 | #127 | — | 26 | 4 | no | — |
| 379 | #127 | — | 26 | 4 | no | — |
| 380 | #127 | — | 26 | 1 | no | — |
| 381 | #127 | — | 26 | 1 | no | — |
| 382 | #127 | D52 | 1 | 1 | yes | characteristic |
| 383 | #124 | — | 26 | 2 | no | — |
| 384 | #124 | — | 26 | 4 | no | — |
| 385 | #124 | — | 26 | 8 | no | — |
| 386 | #124 | — | 26 | 2 | no | — |
| 387 | #124 | D52 | 1 | 2 | yes | — |
| 388 | #121 | — | 13 | 4 | no | — |
| 389 | #121 | — | 13 | 8 | no | — |
| 390 | #121 | — | 13 | 8 | no | — |
| 391 | #121 | — | 26 | 4 | no | — |
| 392 | #121 | — | 26 | 2 | no | — |
| 393 | #121 | — | 26 | 4 | no | — |
| 394 | #121 | — | 26 | 4 | no | — |
| 395 | #121 | — | 26 | 8 | no | — |
| 396 | #121 | D52 | 1 | 4 | yes | — |
| 397 | #120 | — | 26 | 4 | no | — |
| 398 | #120 | — | 26 | 4 | no | — |
| 399 | #120 | — | 26 | 4 | no | — |
| 400 | #120 | — | 26 | 8 | no | — |
| 401 | #120 | — | 26 | 8 | no | — |
| 402 | C4×Q8 | — | 13 | 2 | no | — |
| 403 | C4×D4 | — | 13 | 2 | no | — |
| 404 | C4×D4 | — | 13 | 4 | no | — |
| 405 | C4×D4 | — | 26 | 2 | no | — |
| 406 | C4×D4 | — | 26 | 4 | no | — |
| 407 | C4×D4 | — | 26 | 2 | no | — |
| 408 | C4×D4 | C22×D13 | 1 | 4 | yes | — |
| 409 | #117 | — | 13 | 1 | no | — |
| 410 | #117 | — | 13 | 4 | no | — |
| 411 | #117 | — | 26 | 4 | no | — |
| 412 | #117 | — | 26 | 1 | no | — |
| 413 | C2×C42 | — | 26 | 1 | no | — |
| 414 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 415 | #107 | — | 13 | 4 | no | — |
| 416 | #106 | — | 13 | 4 | no | — |
| 417 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 418 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 419 | #103 | — | 13 | 4 | no | — |
| 420 | #102 | — | 13 | 8 | no | — |
| 421 | #102 | — | 13 | 4 | no | — |
| 422 | #102 | — | 13 | 8 | no | — |
| 423 | #102 | — | 13 | 4 | no | — |
| 424 | #102 | — | 13 | 4 | no | — |
| 425 | C22⋊C8 | C22×D13 | 1 | 4 | yes | — |
| 426 | C22⋊C8 | C22×D13 | 1 | 8 | yes | — |
| 427 | C4×C8 | C22×D13 | 1 | 4 | yes | — |
| 428 | C2×C13 | — | 4 | 4 | no | — |
| 429 | C2×C13 | — | 4 | 1 | no | — |
| 430 | C2×C13 | #3484 | 1 | 1 | yes | characteristic |
| 431 | C2×C13 | C2×#576 | 1 | 2 | yes | — |
| 432 | D13 | — | 4 | 2 | no | — |
| 433 | D13 | — | 8 | 4 | no | — |
| 434 | D13 | — | 8 | 4 | no | — |
| 435 | C24 | — | 26 | 4 | no | — |
| 436 | C24 | — | 26 | 2 | no | — |
| 437 | C24 | — | 26 | 4 | no | — |
| 438 | #41 | — | 4 | 2 | no | — |
| 439 | #41 | — | 4 | 2 | no | — |
| 440 | #41 | — | 26 | 2 | no | — |
| 441 | #41 | — | 26 | 2 | no | — |
| 442 | #41 | — | 26 | 8 | no | — |
| 443 | #41 | — | 52 | 4 | no | — |
| 444 | #41 | — | 52 | 8 | no | — |
| 445 | #41 | — | 104 | 4 | no | — |
| 446 | C2×Q8 | — | 13 | 1 | no | — |
| 447 | C2×Q8 | — | 26 | 2 | no | — |
| 448 | C2×Q8 | C2×D52 | 1 | 2 | yes | — |
| 449 | C2×D4 | — | 13 | 1 | no | — |
| 450 | C2×D4 | — | 13 | 4 | no | — |
| 451 | C2×D4 | — | 13 | 4 | no | — |
| 452 | C2×D4 | — | 26 | 8 | no | — |
| 453 | C2×D4 | — | 26 | 1 | no | — |
| 454 | C2×D4 | — | 26 | 4 | no | — |
| 455 | C2×D4 | — | 26 | 8 | no | — |
| 456 | C2×D4 | — | 26 | 8 | no | — |
| 457 | C2×D4 | — | 26 | 4 | no | — |
| 458 | C2×D4 | — | 26 | 2 | no | — |
| 459 | C2×D4 | — | 26 | 4 | no | — |
| 460 | C2×D4 | — | 26 | 4 | no | — |
| 461 | C2×D4 | — | 26 | 2 | no | — |
| 462 | C2×D4 | — | 26 | 2 | no | — |
| 463 | C2×D4 | — | 26 | 4 | no | — |
| 464 | C2×D4 | — | 26 | 4 | no | — |
| 465 | C2×D4 | — | 52 | 4 | no | — |
| 466 | C2×D4 | — | 52 | 2 | no | — |
| 467 | C2×D4 | — | 52 | 2 | no | — |
| 468 | C2×D4 | — | 52 | 4 | no | — |
| 469 | C2×D4 | — | 52 | 4 | no | — |
| 470 | C2×D4 | — | 52 | 8 | no | — |
| 471 | C2×D4 | — | 52 | 16 | no | — |
| 472 | C2×D4 | — | 104 | 4 | no | — |
| 473 | C2×D4 | — | 104 | 8 | no | — |
| 474 | C2×D4 | — | 104 | 8 | no | — |
| 475 | C2×D4 | C2×D52 | 1 | 4 | yes | — |
| 476 | C2×D4 | C2×D52 | 1 | 4 | yes | — |
| 477 | C2×D4 | C2×D52 | 1 | 2 | yes | — |
| 478 | C22×C4 | — | 26 | 1 | no | — |
| 479 | C22×C4 | — | 26 | 2 | no | — |
| 480 | C22×C4 | — | 26 | 4 | no | — |
| 481 | C22×C4 | — | 26 | 4 | no | — |
| 482 | C22×C4 | C2×D52 | 1 | 2 | yes | — |
| 483 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 484 | C22×C4 | C23×D13 | 1 | 4 | yes | — |
| 485 | SD16 | — | 26 | 8 | no | — |
| 486 | D8 | — | 26 | 8 | no | — |
| 487 | D8 | — | 52 | 8 | no | — |
| 488 | D8 | — | 52 | 8 | no | — |
| 489 | M16 | — | 4 | 4 | no | — |
| 490 | C2×C8 | — | 4 | 4 | no | — |
| 491 | C2×C8 | C23×D13 | 1 | 4 | yes | — |
| 492 | C2×C8 | C23×D13 | 1 | 4 | yes | — |
| 493 | C4⋊C4 | — | 13 | 4 | no | — |
| 494 | C4⋊C4 | — | 13 | 2 | no | — |
| 495 | C4⋊C4 | — | 26 | 2 | no | — |
| 496 | C4⋊C4 | — | 26 | 2 | no | — |
| 497 | C4⋊C4 | C2×D52 | 1 | 4 | yes | — |
| 498 | C22⋊C4 | — | 26 | 1 | no | — |
| 499 | C22⋊C4 | — | 26 | 4 | no | — |
| 500 | C22⋊C4 | — | 26 | 2 | no | — |
| 501 | C22⋊C4 | — | 26 | 8 | no | — |
| 502 | C22⋊C4 | — | 26 | 4 | no | — |
| 503 | C22⋊C4 | — | 26 | 8 | no | — |
| 504 | C22⋊C4 | — | 26 | 4 | no | — |
| 505 | C22⋊C4 | C2×D52 | 1 | 8 | yes | — |
| 506 | C42 | — | 26 | 1 | no | — |
| 507 | C42 | — | 26 | 2 | no | — |
| 508 | C42 | — | 26 | 4 | no | — |
| 509 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 510 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 511 | C42 | C23×D13 | 1 | 2 | yes | — |
| 512 | C13 | #61661 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 513 | C23 | — | 26 | 1 | no | — |
| 514 | C23 | — | 26 | 4 | no | — |
| 515 | C23 | — | 26 | 4 | no | — |
| 516 | C23 | — | 52 | 8 | no | — |
| 517 | C23 | — | 52 | 4 | no | — |
| 518 | C23 | — | 104 | 4 | no | — |
| 519 | C23 | — | 104 | 4 | no | — |
| 520 | C23 | — | 104 | 8 | no | — |
| 521 | C23 | — | 104 | 8 | no | — |
| 522 | C23 | C22×D52 | 1 | 4 | yes | — |
| 523 | C23 | C22×D52 | 1 | 1 | yes | characteristic |
| 524 | Q8 | — | 4 | 2 | no | — |
| 525 | Q8 | — | 13 | 2 | no | — |
| 526 | Q8 | — | 26 | 1 | no | — |
| 527 | Q8 | — | 104 | 2 | no | — |
| 528 | D4 | — | 2 | 8 | no | — |
| 529 | D4 | — | 4 | 2 | no | — |
| 530 | D4 | — | 4 | 4 | no | — |
| 531 | D4 | — | 13 | 2 | no | — |
| 532 | D4 | — | 26 | 4 | no | — |
| 533 | D4 | — | 26 | 1 | no | — |
| 534 | D4 | — | 26 | 4 | no | — |
| 535 | D4 | — | 26 | 4 | no | — |
| 536 | D4 | — | 26 | 4 | no | — |
| 537 | D4 | — | 26 | 4 | no | — |
| 538 | D4 | — | 52 | 8 | no | — |
| 539 | D4 | — | 52 | 4 | no | — |
| 540 | D4 | — | 52 | 8 | no | — |
| 541 | D4 | — | 52 | 8 | no | — |
| 542 | D4 | — | 52 | 4 | no | — |
| 543 | D4 | — | 104 | 4 | no | — |
| 544 | D4 | — | 104 | 4 | no | — |
| 545 | D4 | — | 104 | 2 | no | — |
| 546 | D4 | — | 104 | 8 | no | — |
| 547 | D4 | — | 104 | 8 | no | — |
| 548 | D4 | — | 104 | 4 | no | — |
| 549 | C2×C4 | — | 2 | 4 | no | — |
| 550 | C2×C4 | — | 2 | 4 | no | — |
| 551 | C2×C4 | — | 2 | 4 | no | — |
| 552 | C2×C4 | — | 2 | 1 | no | — |
| 553 | C2×C4 | — | 2 | 1 | no | — |
| 554 | C2×C4 | — | 26 | 4 | no | — |
| 555 | C2×C4 | — | 26 | 1 | no | — |
| 556 | C2×C4 | — | 26 | 2 | no | — |
| 557 | C2×C4 | — | 26 | 4 | no | — |
| 558 | C2×C4 | — | 52 | 8 | no | — |
| 559 | C2×C4 | — | 52 | 4 | no | — |
| 560 | C2×C4 | — | 52 | 8 | no | — |
| 561 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 562 | C2×C4 | C22×D52 | 1 | 4 | yes | — |
| 563 | C2×C4 | C22×D52 | 1 | 2 | yes | — |
| 564 | C2×C4 | C22×D52 | 1 | 2 | yes | — |
| 565 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 566 | C8 | — | 2 | 4 | no | — |
| 567 | C8 | — | 2 | 4 | no | — |
| 568 | C22 | — | 2 | 1 | no | — |
| 569 | C22 | — | 2 | 4 | no | — |
| 570 | C22 | — | 2 | 2 | no | — |
| 571 | C22 | — | 2 | 8 | no | — |
| 572 | C22 | — | 26 | 2 | no | — |
| 573 | C22 | — | 52 | 2 | no | — |
| 574 | C22 | — | 52 | 4 | no | — |
| 575 | C22 | — | 52 | 4 | no | — |
| 576 | C22 | — | 52 | 4 | no | — |
| 577 | C22 | — | 52 | 8 | no | — |
| 578 | C22 | — | 52 | 4 | no | — |
| 579 | C22 | — | 208 | 8 | no | — |
| 580 | C22 | — | 208 | 4 | no | — |
| 581 | C22 | — | 208 | 8 | no | — |
| 582 | C22 | C23×D52 | 1 | 1 | yes | characteristic |
| 583 | C4 | — | 2 | 1 | no | — |
| 584 | C4 | — | 2 | 4 | no | — |
| 585 | C4 | — | 2 | 2 | no | — |
| 586 | C4 | — | 26 | 2 | no | — |
| 587 | C4 | — | 52 | 2 | no | — |
| 588 | C4 | — | 52 | 4 | no | — |
| 589 | C4 | #11719457 | 1 | 4 | yes | — |
| 590 | C4 | D13×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 591 | C4 | D13×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 592 | C2 | — | 4 | 1 | no | — |
| 593 | C2 | — | 4 | 4 | no | — |
| 594 | C2 | — | 52 | 2 | no | — |
| 595 | C2 | — | 104 | 4 | no | — |
| 596 | C2 | — | 104 | 4 | no | — |
| 597 | C2 | #13128472 | 1 | 1 | yes | characteristic |
| 598 | C2 | C2×#11719457 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129241 | C2 | semidirect |
| 2. #13128609 | C2 | semidirect |
| 3. #13127079 | C2 | semidirect |
| 4. #13126787 | C2 | semidirect |
| 5. D4×D104 | C2 | semidirect |
| 6. #13126458 | C2 | semidirect |
| 7. #13125756 | C2 | semidirect |
| 8. #13125701 | C2 | semidirect |
| 9. #13124897 | C2 | semidirect |
| 10. #13124106 | C2 | semidirect |
| 11. C13×#2979 | C2 | semidirect |
| 12. C2×#88256 | C22 | semidirect |
| 14. #11719535 | C22 | semidirect |
| 15. #11719535 | C22 | semidirect |
| 16. C2×#88162 | C22 | semidirect |
| 17. C22×D104 | C22 | semidirect |
| 26. #11719268 | C22 | semidirect |
| 27. #11719258 | C22 | semidirect |
| 28. D4×D52 | C22 | semidirect |
| 29. D4×D52 | C22 | semidirect |
| 30. #11719182 | C22 | semidirect |
| 31. C2×#88128 | C22 | semidirect |
| 32. C4×#6127 | C22 | semidirect |
| 33. C13×#436 | C22 | semidirect |
| 34. C8×D4×C13 | C22 | semidirect |
| 35. C13×#431 | C22 | semidirect |
| 36. C13×#408 | C22 | semidirect |
| 37. #11718796 | C22 | semidirect |
| 38. #11718792 | C22 | semidirect |
| 39. #11718776 | C22 | semidirect |
| 40. #11718774 | C22 | semidirect |
| 41. #11718511 | C22 | semidirect |
| 42. #11718509 | C22 | semidirect |
| 43. #11718504 | C22 | semidirect |
| 44. #11718504 | C22 | semidirect |
| 45. #11718504 | C22 | semidirect |
| 46. #11718503 | C22 | semidirect |
| 47. #11718398 | C22 | semidirect |
| 48. #11718398 | C22 | semidirect |
| 49. #11718395 | C22 | semidirect |
| 50. #11718395 | C22 | semidirect |
| 51. #11718393 | C22 | semidirect |
| 52. #11718393 | C22 | semidirect |
| 53. #11718393 | C22 | semidirect |
| 54. #11718356 | C22 | semidirect |
| 55. #11718355 | C22 | semidirect |
| 56. C4×D104 | C22 | semidirect |
| 57. C4×#6095 | C22 | semidirect |
| 224. #2979 | D13 | semidirect |
| 320. #436 | C2×D13 | semidirect |
| 321. C8×D4 | C2×D13 | semidirect |
| 322. #431 | C2×D13 | semidirect |
| 325. #408 | C2×D13 | semidirect |
| 512. C13 | #61661 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129241 | 2 |
| #13128609 | 2 |
| #13127079 | 2 |
| #13126787 | 2 |
| D4×D104 | 2 |
| #13126458 | 2 |
| #13125756 | 2 |
| #13125701 | 2 |
| #13124897 | 2 |
| #13124106 | 2 |
| C13×#2979 | 2 |
| #61661 | 13 |