Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2160 conjugacy classes of subgroups.
The subgroup lattice has 824 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 | #13128623 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13127024 | C2 | 1 | 4 | yes | maximal, complemented |
| 4 | #13126994 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13126336 | C2 | 1 | 4 | yes | maximal, complemented |
| 6 | #13126321 | C2 | 1 | 4 | yes | maximal, complemented |
| 7 | #13125825 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13125709 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13125701 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13124988 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | #13124124 | C2 | 1 | 2 | yes | maximal, complemented |
| 12 | #13124106 | C2 | 1 | 2 | yes | maximal, complemented |
| 13 | C13×#2980 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | C2×#88257 | C22 | 1 | 1 | yes | characteristic, complemented |
| 15 | C2×#88256 | C22 | 1 | 1 | yes | characteristic, complemented |
| 16 | C13×#532 | C22 | 1 | 1 | yes | characteristic |
| 17 | #11719535 | C22 | 1 | 2 | yes | — |
| 18 | #11719535 | C22 | 1 | 2 | yes | complemented |
| 19 | #11719535 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | #11719530 | C22 | 1 | 1 | yes | characteristic, complemented |
| 21 | C2×#88162 | C22 | 1 | 2 | yes | complemented |
| 22 | C2×#88162 | C22 | 1 | 2 | yes | complemented |
| 23 | C22×D104 | C22 | 1 | 2 | yes | complemented |
| 24 | C22×#6095 | C22 | 1 | 2 | yes | complemented |
| 25 | #11719439 | — | 2 | 1 | no | — |
| 26 | #11719429 | — | 2 | 1 | no | — |
| 27 | #11719422 | — | 2 | 1 | no | — |
| 28 | #11719420 | — | 2 | 1 | no | — |
| 29 | #11719388 | — | 2 | 1 | no | — |
| 30 | #11719388 | — | 2 | 1 | no | — |
| 31 | D13×#124 | — | 2 | 1 | no | — |
| 32 | #11719373 | — | 2 | 1 | no | — |
| 33 | #11719315 | — | 2 | 4 | no | — |
| 34 | #11719312 | — | 2 | 4 | no | — |
| 35 | #11719268 | C22 | 1 | 4 | yes | complemented |
| 36 | #11719257 | C22 | 1 | 4 | yes | complemented |
| 37 | #11719255 | C22 | 1 | 4 | yes | complemented |
| 38 | D4×D52 | C22 | 1 | 4 | yes | complemented |
| 39 | #11719182 | C22 | 1 | 2 | yes | complemented |
| 40 | C2×#88129 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | C4×#6127 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C13×#435 | C22 | 1 | 4 | yes | complemented |
| 43 | C13×#435 | C22 | 1 | 4 | yes | complemented |
| 44 | C13×#432 | C22 | 1 | 2 | yes | complemented |
| 45 | C13×#408 | C22 | 1 | 2 | yes | complemented |
| 46 | C13×#408 | C22 | 1 | 2 | yes | complemented |
| 47 | #11718796 | C22 | 1 | 4 | yes | complemented |
| 48 | #11718795 | C22 | 1 | 4 | yes | complemented |
| 49 | #11718792 | C22 | 1 | 2 | yes | complemented |
| 50 | #11718781 | C22 | 1 | 2 | yes | complemented |
| 51 | #11718776 | C22 | 1 | 4 | yes | complemented |
| 52 | #11718775 | C22 | 1 | 4 | yes | complemented |
| 53 | #11718774 | C22 | 1 | 2 | yes | complemented |
| 54 | #11718774 | C22 | 1 | 2 | yes | complemented |
| 55 | #11718512 | C22 | 1 | 2 | yes | complemented |
| 56 | #11718509 | C22 | 1 | 2 | yes | complemented |
| 57 | #11718507 | C22 | 1 | 2 | yes | complemented |
| 58 | #11718505 | C22 | 1 | 4 | yes | complemented |
| 59 | #11718505 | C22 | 1 | 4 | yes | complemented |
| 60 | #11718504 | C22 | 1 | 2 | yes | complemented |
| 61 | #11718399 | C22 | 1 | 4 | yes | complemented |
| 62 | #11718399 | C22 | 1 | 4 | yes | complemented |
| 63 | #11718398 | C22 | 1 | 4 | yes | complemented |
| 64 | #11718398 | C22 | 1 | 4 | yes | complemented |
| 65 | #11718395 | C22 | 1 | 4 | yes | complemented |
| 66 | #11718395 | C22 | 1 | 4 | yes | complemented |
| 67 | #11718395 | C22 | 1 | 4 | yes | complemented |
| 68 | #11718393 | C22 | 1 | 4 | yes | complemented |
| 69 | #11718393 | C22 | 1 | 4 | yes | complemented |
| 70 | #11718393 | C22 | 1 | 4 | yes | complemented |
| 71 | #11718392 | C22 | 1 | 4 | yes | complemented |
| 72 | #11718384 | C22 | 1 | 4 | yes | complemented |
| 73 | #11718375 | C22 | 1 | 4 | yes | complemented |
| 74 | #11718373 | C22 | 1 | 4 | yes | complemented |
| 75 | #11718372 | C22 | 1 | 4 | yes | complemented |
| 76 | #11718371 | C22 | 1 | 4 | yes | complemented |
| 77 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 78 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 79 | #88257 | — | 4 | 2 | no | — |
| 80 | #88257 | — | 4 | 2 | no | — |
| 81 | #88256 | — | 4 | 2 | no | — |
| 82 | #88256 | — | 4 | 2 | no | — |
| 83 | C2×#6131 | — | 2 | 1 | no | — |
| 84 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 85 | C2×#6129 | — | 2 | 2 | no | — |
| 86 | C2×#6129 | — | 2 | 1 | no | — |
| 87 | C2×D4×D13 | — | 2 | 2 | no | — |
| 88 | C2×D4×D13 | — | 2 | 1 | no | — |
| 89 | C2×D4×D13 | — | 2 | 4 | no | — |
| 90 | C2×#6127 | — | 2 | 2 | no | — |
| 91 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 92 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 93 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 94 | C22×D52 | C23 | 1 | 2 | yes | — |
| 95 | C22×D52 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×D52 | C23 | 1 | 2 | yes | — |
| 97 | C22×D52 | C23 | 1 | 2 | yes | — |
| 98 | C22×Dic26 | C23 | 1 | 2 | yes | — |
| 99 | C22×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C13×M16 | C23 | 1 | 2 | yes | — |
| 101 | C2×C13×M16 | C23 | 1 | 2 | yes | — |
| 102 | C22×C8×C13 | C23 | 1 | 2 | yes | — |
| 103 | C22×C8×C13 | C23 | 1 | 2 | yes | — |
| 104 | C13×C4⋊Q8 | D4 | 1 | 1 | yes | characteristic |
| 105 | C13×#127 | D4 | 1 | 1 | yes | characteristic |
| 106 | C13×#124 | D4 | 1 | 1 | yes | characteristic |
| 107 | C13×#124 | D4 | 1 | 1 | yes | characteristic |
| 108 | C13×#121 | D4 | 1 | 4 | yes | — |
| 109 | C4×D4×C13 | C23 | 1 | 4 | yes | — |
| 110 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 111 | #88201 | — | 2 | 1 | no | — |
| 112 | #88201 | — | 2 | 2 | no | — |
| 113 | #88201 | — | 2 | 2 | no | — |
| 114 | #88198 | — | 2 | 1 | no | — |
| 115 | #88194 | — | 2 | 2 | no | — |
| 116 | #88194 | — | 2 | 2 | no | — |
| 117 | #88194 | — | 2 | 1 | no | — |
| 118 | #88193 | — | 2 | 4 | no | — |
| 119 | #88192 | — | 2 | 4 | no | — |
| 120 | #88191 | — | 2 | 4 | no | — |
| 121 | #88191 | — | 2 | 2 | no | — |
| 122 | #88191 | — | 2 | 2 | no | — |
| 123 | #88191 | — | 2 | 2 | no | — |
| 124 | #88191 | — | 2 | 2 | no | — |
| 125 | #88191 | — | 2 | 2 | no | — |
| 126 | #88190 | — | 2 | 1 | no | — |
| 127 | #88189 | — | 2 | 2 | no | — |
| 128 | #88184 | — | 2 | 2 | no | — |
| 129 | #88184 | C23 | 1 | 4 | yes | — |
| 130 | #88184 | C23 | 1 | 4 | yes | — |
| 131 | #88184 | C23 | 1 | 4 | yes | — |
| 132 | #88184 | C23 | 1 | 4 | yes | — |
| 133 | C4×C22⋊D13 | — | 2 | 2 | no | — |
| 134 | C2×#6103 | — | 2 | 2 | no | — |
| 135 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 136 | #88180 | C23 | 1 | 2 | yes | — |
| 137 | #88180 | C23 | 1 | 2 | yes | — |
| 138 | #88178 | C23 | 1 | 4 | yes | — |
| 139 | #88162 | — | 4 | 4 | no | — |
| 140 | #88162 | — | 4 | 4 | no | — |
| 141 | C2×D104 | — | 4 | 4 | no | — |
| 142 | C2×D104 | C23 | 1 | 4 | yes | — |
| 143 | C2×D104 | C23 | 1 | 4 | yes | — |
| 144 | C2×D104 | C23 | 1 | 4 | yes | — |
| 145 | C2×#6095 | — | 4 | 4 | no | — |
| 146 | C2×#6095 | C23 | 1 | 4 | yes | — |
| 147 | C2×#6095 | C23 | 1 | 4 | yes | — |
| 148 | C2×#6095 | C23 | 1 | 4 | yes | — |
| 149 | #88150 | — | 2 | 4 | no | — |
| 150 | #88149 | — | 2 | 4 | no | — |
| 151 | #88148 | — | 2 | 4 | no | — |
| 152 | #88146 | — | 2 | 4 | no | — |
| 153 | #88139 | — | 2 | 4 | no | — |
| 154 | #88139 | — | 2 | 4 | no | — |
| 155 | #88139 | — | 2 | 4 | no | — |
| 156 | #88138 | — | 2 | 4 | no | — |
| 157 | #88136 | — | 2 | 4 | no | — |
| 158 | #88136 | — | 2 | 4 | no | — |
| 159 | #88135 | — | 2 | 4 | no | — |
| 160 | C22⋊C4×D13 | — | 2 | 4 | no | — |
| 161 | #88129 | — | 2 | 1 | no | — |
| 162 | #88129 | — | 2 | 1 | no | — |
| 163 | #88129 | — | 2 | 2 | no | — |
| 164 | #88129 | C23 | 1 | 4 | yes | — |
| 165 | #88128 | C23 | 1 | 2 | yes | — |
| 166 | C4×D52 | — | 2 | 2 | no | — |
| 167 | C4×D52 | C23 | 1 | 2 | yes | — |
| 168 | C4×D52 | C23 | 1 | 4 | yes | — |
| 169 | #88126 | — | 2 | 1 | no | — |
| 170 | C42×D13 | — | 2 | 1 | no | — |
| 171 | #88123 | C23 | 1 | 2 | yes | — |
| 172 | C4×Dic26 | C23 | 1 | 2 | yes | — |
| 173 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 174 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 175 | C13×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 176 | C13×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 177 | C13×C22⋊C8 | C23 | 1 | 4 | yes | — |
| 178 | C13×#97 | C23 | 1 | 4 | yes | — |
| 179 | #88061 | C23 | 1 | 4 | yes | — |
| 180 | #88061 | C23 | 1 | 4 | yes | — |
| 181 | #88061 | C23 | 1 | 4 | yes | — |
| 182 | #88061 | C23 | 1 | 4 | yes | — |
| 183 | #88061 | C23 | 1 | 4 | yes | — |
| 184 | #88058 | C23 | 1 | 4 | yes | — |
| 185 | #88057 | C23 | 1 | 4 | yes | — |
| 186 | #88056 | C23 | 1 | 4 | yes | — |
| 187 | #88056 | C23 | 1 | 4 | yes | — |
| 188 | #88056 | C23 | 1 | 4 | yes | — |
| 189 | #61673 | — | 13 | 1 | no | maximal, Sylow |
| 190 | C23×D13 | — | 2 | 2 | no | — |
| 191 | C23×D13 | — | 2 | 1 | no | — |
| 192 | C23×D13 | — | 2 | 2 | no | — |
| 193 | C23×D13 | — | 2 | 2 | no | — |
| 194 | C13×#41 | — | 4 | 1 | no | — |
| 195 | C13×#41 | — | 4 | 1 | no | — |
| 196 | C13×#41 | — | 4 | 1 | no | — |
| 197 | C13×#41 | — | 4 | 1 | no | — |
| 198 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 199 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 200 | C2×D4×C13 | C2×D4 | 1 | 2 | yes | — |
| 201 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 202 | C2×D4×C13 | C2×D4 | 1 | 2 | yes | — |
| 203 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 204 | C2×D4×C13 | C2×D4 | 1 | 4 | yes | — |
| 205 | C22×C4×C13 | C2×D4 | 1 | 2 | yes | — |
| 206 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 207 | C22×C4×C13 | C24 | 1 | 2 | yes | — |
| 208 | C22×C4×C13 | C24 | 1 | 2 | yes | — |
| 209 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 210 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 211 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 212 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 213 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 214 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 215 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 216 | C22×Dic13 | — | 2 | 2 | no | — |
| 217 | C22×Dic13 | — | 2 | 1 | no | — |
| 218 | #6131 | — | 4 | 4 | no | — |
| 219 | Q8×D13 | — | 4 | 4 | no | — |
| 220 | #6129 | — | 4 | 4 | no | — |
| 221 | #6129 | — | 4 | 8 | no | — |
| 222 | D4×D13 | — | 4 | 4 | no | — |
| 223 | D4×D13 | — | 4 | 8 | no | — |
| 224 | D4×D13 | — | 8 | 8 | no | — |
| 225 | #6127 | — | 2 | 2 | no | — |
| 226 | #6127 | — | 2 | 4 | no | — |
| 227 | #6127 | — | 2 | 2 | no | — |
| 228 | #6127 | — | 2 | 4 | no | — |
| 229 | #6127 | — | 4 | 2 | no | — |
| 230 | #6127 | — | 4 | 2 | no | — |
| 231 | #6127 | — | 8 | 4 | no | — |
| 232 | C2×D52 | — | 2 | 4 | no | — |
| 233 | C2×D52 | — | 2 | 2 | no | — |
| 234 | C2×D52 | — | 2 | 1 | no | — |
| 235 | C2×D52 | — | 2 | 2 | no | — |
| 236 | C2×D52 | — | 2 | 2 | no | — |
| 237 | C2×D52 | — | 2 | 2 | no | — |
| 238 | C2×D52 | — | 2 | 2 | no | — |
| 239 | C2×D52 | — | 4 | 2 | no | — |
| 240 | C2×D52 | — | 4 | 1 | no | — |
| 241 | C2×D52 | — | 4 | 1 | no | — |
| 242 | C2×D52 | — | 4 | 2 | no | — |
| 243 | C2×D52 | — | 4 | 2 | no | — |
| 244 | C2×D52 | — | 4 | 2 | no | — |
| 245 | C2×D52 | — | 4 | 2 | no | — |
| 246 | C2×D52 | C24 | 1 | 4 | yes | — |
| 247 | C2×D52 | C24 | 1 | 2 | yes | — |
| 248 | C2×D52 | C24 | 1 | 1 | yes | characteristic |
| 249 | C2×C4×D13 | — | 2 | 1 | no | — |
| 250 | C2×C4×D13 | — | 2 | 4 | no | — |
| 251 | C2×C4×D13 | — | 2 | 2 | no | — |
| 252 | C2×C4×D13 | — | 2 | 2 | no | — |
| 253 | C2×C4×D13 | — | 2 | 2 | no | — |
| 254 | C2×Dic26 | — | 2 | 4 | no | — |
| 255 | C2×Dic26 | — | 2 | 1 | no | — |
| 256 | C2×Dic26 | — | 2 | 2 | no | — |
| 257 | C2×Dic26 | — | 2 | 2 | no | — |
| 258 | C2×Dic26 | — | 4 | 2 | no | — |
| 259 | C2×Dic26 | — | 4 | 1 | no | — |
| 260 | C2×Dic26 | — | 4 | 1 | no | — |
| 261 | C2×Dic26 | C24 | 1 | 2 | yes | — |
| 262 | C2×Dic26 | C24 | 1 | 1 | yes | characteristic |
| 263 | C13×M16 | — | 4 | 2 | no | — |
| 264 | C13×M16 | — | 4 | 2 | no | — |
| 265 | C2×C8×C13 | — | 4 | 2 | no | — |
| 266 | C2×C8×C13 | — | 4 | 2 | no | — |
| 267 | C2×C8×C13 | C24 | 1 | 4 | yes | — |
| 268 | C2×C8×C13 | C24 | 1 | 4 | yes | — |
| 269 | C13×C4⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 270 | C13×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 271 | C13×C22⋊C4 | C2×D4 | 1 | 4 | yes | — |
| 272 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 274 | C42×C13 | C24 | 1 | 2 | yes | — |
| 275 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 276 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 277 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 278 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 279 | #6103 | — | 2 | 2 | no | — |
| 280 | #6103 | — | 2 | 4 | no | — |
| 281 | #6103 | — | 2 | 4 | no | — |
| 282 | #6103 | — | 2 | 4 | no | — |
| 283 | #6103 | — | 2 | 4 | no | — |
| 284 | #6103 | — | 2 | 4 | no | — |
| 285 | #6103 | — | 2 | 4 | no | — |
| 286 | #6103 | — | 2 | 4 | no | — |
| 287 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 288 | C4⋊Dic13 | C24 | 1 | 2 | yes | — |
| 289 | C4⋊Dic13 | C24 | 1 | 4 | yes | — |
| 290 | #6101 | — | 2 | 2 | no | — |
| 291 | #6101 | — | 2 | 4 | no | — |
| 292 | C4×Dic13 | — | 2 | 2 | no | — |
| 293 | C4×Dic13 | — | 2 | 1 | no | — |
| 294 | C4×Dic13 | — | 2 | 2 | no | — |
| 295 | C4×Dic13 | — | 2 | 2 | no | — |
| 296 | D104 | — | 2 | 8 | no | — |
| 297 | D104 | — | 4 | 4 | no | — |
| 298 | D104 | — | 4 | 4 | no | — |
| 299 | #6095 | — | 2 | 8 | no | — |
| 300 | #6095 | — | 4 | 4 | no | — |
| 301 | #6095 | — | 4 | 4 | no | — |
| 302 | #3549 | — | 13 | 1 | no | — |
| 303 | #3500 | — | 13 | 1 | no | — |
| 304 | #3321 | — | 13 | 4 | no | — |
| 305 | #3319 | — | 13 | 4 | no | — |
| 306 | #3265 | — | 13 | 4 | no | — |
| 307 | #3264 | — | 13 | 4 | no | — |
| 308 | #3213 | — | 13 | 2 | no | — |
| 309 | #3200 | — | 13 | 2 | no | — |
| 310 | #3199 | — | 13 | 2 | no | — |
| 311 | #3115 | — | 13 | 2 | no | — |
| 312 | #3010 | — | 13 | 2 | no | — |
| 313 | #3008 | — | 13 | 2 | no | — |
| 314 | #2980 | D13 | 1 | 1 | yes | characteristic, complemented |
| 315 | C23×C13 | C22×D4 | 1 | 2 | yes | — |
| 316 | C23×C13 | C22×D4 | 1 | 2 | yes | — |
| 317 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 318 | C22×D13 | — | 2 | 1 | no | — |
| 319 | C22×D13 | — | 2 | 2 | no | — |
| 320 | C22×D13 | — | 2 | 4 | no | — |
| 321 | C22×D13 | — | 4 | 4 | no | — |
| 322 | C22×D13 | — | 4 | 2 | no | — |
| 323 | C22×D13 | — | 8 | 2 | no | — |
| 324 | C22×D13 | — | 8 | 2 | no | — |
| 325 | C22×D13 | — | 8 | 4 | no | — |
| 326 | C22×D13 | — | 8 | 4 | no | — |
| 327 | C22×D13 | — | 8 | 4 | no | — |
| 328 | C22×D13 | — | 8 | 2 | no | — |
| 329 | Q8×C13 | — | 4 | 1 | no | — |
| 330 | Q8×C13 | — | 4 | 1 | no | — |
| 331 | D4×C13 | — | 4 | 1 | no | — |
| 332 | D4×C13 | — | 4 | 2 | no | — |
| 333 | D4×C13 | — | 4 | 4 | no | — |
| 334 | D4×C13 | — | 4 | 1 | no | — |
| 335 | D4×C13 | — | 4 | 2 | no | — |
| 336 | C2×C4×C13 | — | 2 | 2 | no | — |
| 337 | C2×C4×C13 | — | 2 | 2 | no | — |
| 338 | C2×C4×C13 | — | 2 | 2 | no | — |
| 339 | C2×C4×C13 | — | 2 | 2 | no | — |
| 340 | C2×C4×C13 | — | 2 | 1 | no | — |
| 341 | C2×C4×C13 | — | 2 | 1 | no | — |
| 342 | C2×C4×C13 | — | 4 | 2 | no | — |
| 343 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 344 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 345 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 346 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 347 | C2×C4×C13 | C22×D4 | 1 | 2 | yes | — |
| 348 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 349 | C22⋊D13 | — | 2 | 4 | no | — |
| 350 | C22⋊D13 | — | 4 | 4 | no | — |
| 351 | C22⋊D13 | — | 4 | 4 | no | — |
| 352 | C22⋊D13 | — | 8 | 4 | no | — |
| 353 | C22⋊D13 | — | 8 | 4 | no | — |
| 354 | C22⋊D13 | — | 8 | 4 | no | — |
| 355 | C22⋊D13 | — | 8 | 4 | no | — |
| 356 | C2×Dic13 | — | 2 | 1 | no | — |
| 357 | C2×Dic13 | — | 2 | 2 | no | — |
| 358 | C2×Dic13 | — | 2 | 4 | no | — |
| 359 | C2×Dic13 | — | 2 | 2 | no | — |
| 360 | C2×Dic13 | — | 4 | 4 | no | — |
| 361 | C2×Dic13 | — | 4 | 2 | no | — |
| 362 | D52 | — | 2 | 1 | no | — |
| 363 | D52 | — | 2 | 4 | no | — |
| 364 | D52 | — | 2 | 4 | no | — |
| 365 | D52 | — | 2 | 2 | no | — |
| 366 | D52 | — | 2 | 2 | no | — |
| 367 | D52 | — | 4 | 4 | no | — |
| 368 | D52 | — | 4 | 2 | no | — |
| 369 | D52 | — | 4 | 4 | no | — |
| 370 | D52 | — | 8 | 2 | no | — |
| 371 | D52 | — | 8 | 2 | no | — |
| 372 | D52 | — | 8 | 2 | no | — |
| 373 | D52 | H(5,𝔽2) | 1 | 2 | yes | — |
| 374 | C4×D13 | — | 2 | 4 | no | — |
| 375 | C4×D13 | — | 4 | 4 | no | — |
| 376 | C4×D13 | — | 4 | 4 | no | — |
| 377 | C4×D13 | — | 4 | 8 | no | — |
| 378 | C4×D13 | — | 8 | 2 | no | — |
| 379 | Dic26 | — | 2 | 1 | no | — |
| 380 | Dic26 | — | 2 | 2 | no | — |
| 381 | Dic26 | — | 2 | 2 | no | — |
| 382 | Dic26 | — | 4 | 4 | no | — |
| 383 | Dic26 | — | 4 | 2 | no | — |
| 384 | Dic26 | — | 8 | 2 | no | — |
| 385 | Dic26 | H(5,𝔽2) | 1 | 2 | yes | — |
| 386 | C8×C13 | — | 2 | 4 | no | — |
| 387 | C8×C13 | — | 2 | 4 | no | — |
| 388 | C2×2−1+4 | — | 13 | 1 | no | — |
| 389 | C2×H(5,𝔽2) | — | 13 | 1 | no | — |
| 390 | C2×AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 391 | C2×AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 392 | C22×SD16 | — | 13 | 2 | no | — |
| 393 | C22×D8 | — | 13 | 2 | no | — |
| 394 | H(3,𝔽4) | — | 26 | 1 | no | — |
| 395 | H(3,𝔽4) | — | 26 | 1 | no | — |
| 396 | #555 | — | 13 | 4 | no | — |
| 397 | #555 | — | 26 | 1 | no | — |
| 398 | #548 | — | 13 | 4 | no | — |
| 399 | #546 | — | 13 | 4 | no | — |
| 400 | #546 | — | 26 | 4 | no | — |
| 401 | D42 | — | 13 | 4 | no | — |
| 402 | D42 | — | 26 | 1 | no | — |
| 403 | #536 | — | 13 | 1 | no | — |
| 404 | #536 | — | 26 | 1 | no | — |
| 405 | #535 | — | 13 | 2 | no | — |
| 406 | #535 | — | 13 | 1 | no | — |
| 407 | #535 | — | 13 | 2 | no | — |
| 408 | #535 | — | 26 | 1 | no | — |
| 409 | #535 | — | 26 | 4 | no | — |
| 410 | #532 | — | 13 | 2 | no | — |
| 411 | #532 | — | 26 | 1 | no | — |
| 412 | #532 | C2×D13 | 1 | 1 | yes | characteristic |
| 413 | C2×#124 | — | 13 | 1 | no | — |
| 414 | C2×#124 | — | 26 | 1 | no | — |
| 415 | C4×#41 | — | 13 | 1 | no | — |
| 416 | #496 | — | 13 | 4 | no | — |
| 417 | #489 | — | 13 | 4 | no | — |
| 418 | #485 | — | 13 | 4 | no | — |
| 419 | #482 | — | 13 | 4 | no | — |
| 420 | #482 | — | 13 | 4 | no | — |
| 421 | #475 | — | 13 | 2 | no | — |
| 422 | #474 | — | 13 | 2 | no | — |
| 423 | #469 | — | 13 | 4 | no | — |
| 424 | #468 | — | 13 | 4 | no | — |
| 425 | #466 | — | 13 | 4 | no | — |
| 426 | #465 | — | 13 | 4 | no | — |
| 427 | #463 | — | 13 | 4 | no | — |
| 428 | #463 | — | 13 | 4 | no | — |
| 429 | #460 | — | 13 | 2 | no | — |
| 430 | #459 | — | 13 | 2 | no | — |
| 431 | #450 | — | 13 | 4 | no | — |
| 432 | #449 | — | 13 | 4 | no | — |
| 433 | #449 | — | 13 | 4 | no | — |
| 434 | #449 | — | 13 | 4 | no | — |
| 435 | #448 | — | 13 | 4 | no | — |
| 436 | #448 | — | 13 | 4 | no | — |
| 437 | #447 | — | 13 | 4 | no | — |
| 438 | #447 | — | 13 | 4 | no | — |
| 439 | #447 | — | 13 | 4 | no | — |
| 440 | #442 | — | 13 | 4 | no | — |
| 441 | #440 | — | 13 | 4 | no | — |
| 442 | #435 | C2×D13 | 1 | 4 | yes | complemented |
| 443 | #435 | C2×D13 | 1 | 4 | yes | complemented |
| 444 | #432 | C2×D13 | 1 | 2 | yes | complemented |
| 445 | #419 | — | 13 | 2 | no | — |
| 446 | #418 | — | 13 | 2 | no | — |
| 447 | #416 | — | 13 | 2 | no | — |
| 448 | #416 | — | 13 | 2 | no | — |
| 449 | #408 | C2×D13 | 1 | 2 | yes | complemented |
| 450 | #408 | C2×D13 | 1 | 2 | yes | complemented |
| 451 | C22×C13 | — | 2 | 2 | no | — |
| 452 | C22×C13 | — | 2 | 4 | no | — |
| 453 | C22×C13 | — | 2 | 4 | no | — |
| 454 | C22×C13 | — | 2 | 1 | no | — |
| 455 | C22×C13 | — | 2 | 2 | no | — |
| 456 | C22×C13 | — | 2 | 2 | no | — |
| 457 | C22×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 458 | C2×D13 | — | 2 | 2 | no | — |
| 459 | C2×D13 | — | 4 | 2 | no | — |
| 460 | C2×D13 | — | 4 | 4 | no | — |
| 461 | C2×D13 | — | 4 | 4 | no | — |
| 462 | C2×D13 | — | 4 | 4 | no | — |
| 463 | C2×D13 | — | 4 | 2 | no | — |
| 464 | C2×D13 | — | 4 | 4 | no | — |
| 465 | C2×D13 | — | 16 | 4 | no | — |
| 466 | C2×D13 | — | 16 | 2 | no | — |
| 467 | C2×D13 | — | 16 | 4 | no | — |
| 468 | C2×D13 | — | 16 | 4 | no | — |
| 469 | C4×C13 | — | 2 | 2 | no | — |
| 470 | C4×C13 | — | 2 | 2 | no | — |
| 471 | C4×C13 | — | 2 | 1 | no | — |
| 472 | C4×C13 | — | 2 | 2 | no | — |
| 473 | C4×C13 | — | 2 | 2 | no | — |
| 474 | C4×C13 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 475 | C4×C13 | C2×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 476 | Dic13 | — | 2 | 2 | no | — |
| 477 | Dic13 | — | 4 | 4 | no | — |
| 478 | Dic13 | — | 4 | 2 | no | — |
| 479 | Dic13 | — | 4 | 2 | no | — |
| 480 | 2−1+4 | — | 52 | 2 | no | — |
| 481 | 2−1+4 | — | 52 | 2 | no | — |
| 482 | H(5,𝔽2) | — | 52 | 2 | no | — |
| 483 | H(5,𝔽2) | — | 52 | 2 | no | — |
| 484 | C2×#41 | — | 13 | 1 | no | — |
| 485 | C2×#41 | — | 13 | 2 | no | — |
| 486 | C2×#41 | — | 13 | 2 | no | — |
| 487 | C2×#41 | — | 26 | 1 | no | — |
| 488 | C2×#41 | — | 26 | 1 | no | — |
| 489 | C2×#41 | — | 26 | 2 | no | — |
| 490 | C2×#41 | — | 26 | 2 | no | — |
| 491 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 492 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 493 | C22×Q8 | — | 13 | 2 | no | — |
| 494 | C22×Q8 | — | 13 | 1 | no | — |
| 495 | C22×Q8 | — | 26 | 1 | no | — |
| 496 | C22×D4 | — | 13 | 2 | no | — |
| 497 | C22×D4 | — | 13 | 1 | no | — |
| 498 | C22×D4 | — | 13 | 2 | no | — |
| 499 | C22×D4 | — | 13 | 2 | no | — |
| 500 | C22×D4 | — | 26 | 1 | no | — |
| 501 | C22×D4 | — | 26 | 2 | no | — |
| 502 | C22×D4 | — | 26 | 4 | no | — |
| 503 | AGL(1,ℤ/8) | — | 52 | 4 | no | — |
| 504 | AGL(1,ℤ/8) | — | 52 | 4 | no | — |
| 505 | C2×SD16 | — | 13 | 4 | no | — |
| 506 | C2×SD16 | — | 13 | 4 | no | — |
| 507 | C2×SD16 | — | 13 | 4 | no | — |
| 508 | C2×SD16 | — | 52 | 4 | no | — |
| 509 | C2×D8 | — | 13 | 4 | no | — |
| 510 | C2×D8 | — | 13 | 4 | no | — |
| 511 | C2×D8 | — | 13 | 4 | no | — |
| 512 | C2×D8 | — | 52 | 4 | no | — |
| 513 | C2×M16 | C22×D13 | 1 | 2 | yes | — |
| 514 | C2×M16 | C22×D13 | 1 | 2 | yes | — |
| 515 | C22×C8 | C22×D13 | 1 | 2 | yes | — |
| 516 | C22×C8 | C22×D13 | 1 | 2 | yes | — |
| 517 | C4⋊Q8 | — | 13 | 2 | no | — |
| 518 | C4⋊Q8 | — | 26 | 1 | no | — |
| 519 | C4⋊Q8 | D52 | 1 | 1 | yes | characteristic |
| 520 | #127 | — | 13 | 2 | no | — |
| 521 | #127 | — | 26 | 1 | no | — |
| 522 | #127 | — | 26 | 2 | no | — |
| 523 | #127 | — | 26 | 2 | no | — |
| 524 | #127 | D52 | 1 | 1 | yes | characteristic |
| 525 | #124 | — | 13 | 4 | no | — |
| 526 | #124 | — | 26 | 1 | no | — |
| 527 | #124 | — | 26 | 2 | no | — |
| 528 | #124 | — | 26 | 2 | no | — |
| 529 | #124 | — | 26 | 1 | no | — |
| 530 | #124 | — | 26 | 4 | no | — |
| 531 | #124 | — | 26 | 4 | no | — |
| 532 | #124 | — | 26 | 4 | no | — |
| 533 | #124 | — | 26 | 1 | no | — |
| 534 | #124 | — | 26 | 1 | no | — |
| 535 | #124 | — | 26 | 2 | no | — |
| 536 | #124 | D52 | 1 | 1 | yes | characteristic |
| 537 | #124 | D52 | 1 | 1 | yes | characteristic |
| 538 | #123 | — | 26 | 2 | no | — |
| 539 | #123 | — | 26 | 4 | no | — |
| 540 | C22⋊Q8 | — | 13 | 4 | no | — |
| 541 | C22⋊Q8 | — | 26 | 4 | no | — |
| 542 | #121 | — | 13 | 4 | no | — |
| 543 | #121 | — | 13 | 4 | no | — |
| 544 | #121 | — | 13 | 4 | no | — |
| 545 | #121 | — | 13 | 4 | no | — |
| 546 | #121 | — | 26 | 4 | no | — |
| 547 | #121 | — | 26 | 4 | no | — |
| 548 | #121 | — | 26 | 2 | no | — |
| 549 | #121 | — | 26 | 4 | no | — |
| 550 | #121 | — | 26 | 4 | no | — |
| 551 | #121 | D52 | 1 | 4 | yes | — |
| 552 | #120 | — | 26 | 2 | no | — |
| 553 | #120 | — | 26 | 2 | no | — |
| 554 | #120 | — | 26 | 2 | no | — |
| 555 | #120 | — | 26 | 2 | no | — |
| 556 | #120 | — | 26 | 2 | no | — |
| 557 | #120 | — | 26 | 4 | no | — |
| 558 | #120 | — | 26 | 4 | no | — |
| 559 | #120 | — | 26 | 4 | no | — |
| 560 | C4×Q8 | — | 13 | 2 | no | — |
| 561 | C4×D4 | — | 13 | 2 | no | — |
| 562 | C4×D4 | — | 13 | 4 | no | — |
| 563 | C4×D4 | — | 26 | 2 | no | — |
| 564 | C4×D4 | — | 26 | 4 | no | — |
| 565 | C4×D4 | — | 26 | 2 | no | — |
| 566 | C4×D4 | C22×D13 | 1 | 4 | yes | — |
| 567 | #117 | — | 13 | 1 | no | — |
| 568 | #117 | — | 13 | 2 | no | — |
| 569 | #117 | — | 13 | 2 | no | — |
| 570 | #117 | — | 26 | 4 | no | — |
| 571 | #117 | — | 26 | 1 | no | — |
| 572 | C2×C22⋊C4 | — | 26 | 2 | no | — |
| 573 | C2×C22⋊C4 | — | 26 | 4 | no | — |
| 574 | C2×C42 | — | 26 | 1 | no | — |
| 575 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 576 | #107 | — | 13 | 4 | no | — |
| 577 | #106 | — | 13 | 4 | no | — |
| 578 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 579 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 580 | #103 | — | 13 | 4 | no | — |
| 581 | #103 | — | 13 | 4 | no | — |
| 582 | #103 | — | 13 | 4 | no | — |
| 583 | #102 | — | 13 | 4 | no | — |
| 584 | #102 | — | 13 | 4 | no | — |
| 585 | #102 | — | 13 | 4 | no | — |
| 586 | #102 | — | 13 | 4 | no | — |
| 587 | #102 | — | 13 | 4 | no | — |
| 588 | C22⋊C8 | C22×D13 | 1 | 4 | yes | — |
| 589 | C22⋊C8 | C22×D13 | 1 | 4 | yes | — |
| 590 | C22⋊C8 | C22×D13 | 1 | 4 | yes | — |
| 591 | #97 | C22×D13 | 1 | 4 | yes | — |
| 592 | C2×C13 | — | 4 | 2 | no | — |
| 593 | C2×C13 | — | 4 | 1 | no | — |
| 594 | C2×C13 | — | 4 | 2 | no | — |
| 595 | C2×C13 | #3484 | 1 | 1 | yes | characteristic |
| 596 | C2×C13 | #3585 | 1 | 2 | yes | — |
| 597 | D13 | — | 4 | 2 | no | — |
| 598 | D13 | — | 8 | 4 | no | — |
| 599 | D13 | — | 8 | 2 | no | — |
| 600 | C24 | — | 26 | 2 | no | — |
| 601 | C24 | — | 26 | 1 | no | — |
| 602 | C24 | — | 26 | 2 | no | — |
| 603 | C24 | — | 26 | 2 | no | — |
| 604 | #41 | — | 4 | 1 | no | — |
| 605 | #41 | — | 4 | 1 | no | — |
| 606 | #41 | — | 4 | 1 | no | — |
| 607 | #41 | — | 4 | 1 | no | — |
| 608 | #41 | — | 26 | 2 | no | — |
| 609 | #41 | — | 26 | 2 | no | — |
| 610 | #41 | — | 26 | 4 | no | — |
| 611 | #41 | — | 26 | 4 | no | — |
| 612 | #41 | — | 52 | 2 | no | — |
| 613 | #41 | — | 52 | 2 | no | — |
| 614 | #41 | — | 52 | 4 | no | — |
| 615 | #41 | — | 52 | 4 | no | — |
| 616 | #41 | — | 52 | 8 | no | — |
| 617 | #41 | — | 104 | 4 | no | — |
| 618 | C2×Q8 | — | 13 | 1 | no | — |
| 619 | C2×Q8 | — | 13 | 2 | no | — |
| 620 | C2×Q8 | — | 26 | 4 | no | — |
| 621 | C2×Q8 | — | 26 | 2 | no | — |
| 622 | C2×Q8 | — | 26 | 1 | no | — |
| 623 | C2×Q8 | — | 26 | 2 | no | — |
| 624 | C2×Q8 | — | 52 | 2 | no | — |
| 625 | C2×Q8 | — | 52 | 1 | no | — |
| 626 | C2×Q8 | — | 52 | 1 | no | — |
| 627 | C2×Q8 | — | 52 | 4 | no | — |
| 628 | C2×Q8 | C2×D52 | 1 | 1 | yes | characteristic |
| 629 | C2×Q8 | C2×D52 | 1 | 1 | yes | characteristic |
| 630 | C2×D4 | — | 13 | 1 | no | — |
| 631 | C2×D4 | — | 13 | 2 | no | — |
| 632 | C2×D4 | — | 13 | 4 | no | — |
| 633 | C2×D4 | — | 26 | 4 | no | — |
| 634 | C2×D4 | — | 26 | 1 | no | — |
| 635 | C2×D4 | — | 26 | 2 | no | — |
| 636 | C2×D4 | — | 26 | 2 | no | — |
| 637 | C2×D4 | — | 26 | 4 | no | — |
| 638 | C2×D4 | — | 26 | 4 | no | — |
| 639 | C2×D4 | — | 26 | 4 | no | — |
| 640 | C2×D4 | — | 26 | 4 | no | — |
| 641 | C2×D4 | — | 26 | 2 | no | — |
| 642 | C2×D4 | — | 26 | 2 | no | — |
| 643 | C2×D4 | — | 26 | 1 | no | — |
| 644 | C2×D4 | — | 26 | 2 | no | — |
| 645 | C2×D4 | — | 26 | 2 | no | — |
| 646 | C2×D4 | — | 26 | 2 | no | — |
| 647 | C2×D4 | — | 52 | 2 | no | — |
| 648 | C2×D4 | — | 52 | 1 | no | — |
| 649 | C2×D4 | — | 52 | 1 | no | — |
| 650 | C2×D4 | — | 52 | 2 | no | — |
| 651 | C2×D4 | — | 52 | 2 | no | — |
| 652 | C2×D4 | — | 52 | 2 | no | — |
| 653 | C2×D4 | — | 52 | 2 | no | — |
| 654 | C2×D4 | — | 52 | 4 | no | — |
| 655 | C2×D4 | — | 52 | 8 | no | — |
| 656 | C2×D4 | — | 104 | 8 | no | — |
| 657 | C2×D4 | C2×D52 | 1 | 4 | yes | — |
| 658 | C2×D4 | C2×D52 | 1 | 2 | yes | — |
| 659 | C2×D4 | C2×D52 | 1 | 1 | yes | characteristic |
| 660 | C2×D4 | C2×D52 | 1 | 1 | yes | characteristic |
| 661 | C2×D4 | C2×D52 | 1 | 2 | yes | — |
| 662 | C22×C4 | — | 26 | 1 | no | — |
| 663 | C22×C4 | — | 26 | 1 | no | — |
| 664 | C22×C4 | — | 26 | 2 | no | — |
| 665 | C22×C4 | — | 26 | 2 | no | — |
| 666 | C22×C4 | — | 26 | 4 | no | — |
| 667 | C22×C4 | — | 26 | 2 | no | — |
| 668 | C22×C4 | — | 26 | 2 | no | — |
| 669 | C22×C4 | C2×D52 | 1 | 2 | yes | — |
| 670 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 671 | C22×C4 | C23×D13 | 1 | 2 | yes | — |
| 672 | C22×C4 | C23×D13 | 1 | 2 | yes | — |
| 673 | SD16 | — | 26 | 8 | no | — |
| 674 | SD16 | — | 52 | 4 | no | — |
| 675 | SD16 | — | 52 | 4 | no | — |
| 676 | D8 | — | 26 | 8 | no | — |
| 677 | D8 | — | 52 | 4 | no | — |
| 678 | D8 | — | 52 | 4 | no | — |
| 679 | M16 | — | 4 | 2 | no | — |
| 680 | M16 | — | 4 | 2 | no | — |
| 681 | C2×C8 | — | 4 | 2 | no | — |
| 682 | C2×C8 | — | 4 | 2 | no | — |
| 683 | C2×C8 | C23×D13 | 1 | 4 | yes | — |
| 684 | C2×C8 | C23×D13 | 1 | 4 | yes | — |
| 685 | C4⋊C4 | — | 13 | 2 | no | — |
| 686 | C4⋊C4 | — | 13 | 4 | no | — |
| 687 | C4⋊C4 | — | 26 | 2 | no | — |
| 688 | C4⋊C4 | — | 26 | 2 | no | — |
| 689 | C4⋊C4 | — | 26 | 4 | no | — |
| 690 | C4⋊C4 | C2×D52 | 1 | 4 | yes | — |
| 691 | C22⋊C4 | — | 26 | 4 | no | — |
| 692 | C22⋊C4 | — | 26 | 1 | no | — |
| 693 | C22⋊C4 | — | 26 | 2 | no | — |
| 694 | C22⋊C4 | — | 26 | 2 | no | — |
| 695 | C22⋊C4 | — | 26 | 4 | no | — |
| 696 | C22⋊C4 | — | 26 | 4 | no | — |
| 697 | C22⋊C4 | — | 26 | 4 | no | — |
| 698 | C22⋊C4 | — | 26 | 2 | no | — |
| 699 | C22⋊C4 | — | 26 | 4 | no | — |
| 700 | C22⋊C4 | — | 26 | 4 | no | — |
| 701 | C22⋊C4 | — | 26 | 4 | no | — |
| 702 | C22⋊C4 | — | 26 | 4 | no | — |
| 703 | C22⋊C4 | C2×D52 | 1 | 4 | yes | — |
| 704 | C22⋊C4 | C2×D52 | 1 | 4 | yes | — |
| 705 | C42 | — | 26 | 1 | no | — |
| 706 | C42 | — | 26 | 2 | no | — |
| 707 | C42 | — | 26 | 2 | no | — |
| 708 | C42 | — | 26 | 2 | no | — |
| 709 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 710 | C42 | C2×D52 | 1 | 1 | yes | characteristic |
| 711 | C42 | C23×D13 | 1 | 2 | yes | — |
| 712 | C13 | #61673 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 713 | C23 | — | 26 | 1 | no | — |
| 714 | C23 | — | 26 | 2 | no | — |
| 715 | C23 | — | 26 | 4 | no | — |
| 716 | C23 | — | 52 | 4 | no | — |
| 717 | C23 | — | 52 | 2 | no | — |
| 718 | C23 | — | 104 | 2 | no | — |
| 719 | C23 | — | 104 | 2 | no | — |
| 720 | C23 | — | 104 | 4 | no | — |
| 721 | C23 | — | 104 | 4 | no | — |
| 722 | C23 | — | 104 | 2 | no | — |
| 723 | C23 | — | 104 | 4 | no | — |
| 724 | C23 | C22×D52 | 1 | 2 | yes | — |
| 725 | C23 | C22×D52 | 1 | 2 | yes | — |
| 726 | C23 | C22×D52 | 1 | 1 | yes | characteristic |
| 727 | Q8 | — | 4 | 1 | no | — |
| 728 | Q8 | — | 4 | 1 | no | — |
| 729 | Q8 | — | 13 | 2 | no | — |
| 730 | Q8 | — | 26 | 1 | no | — |
| 731 | Q8 | — | 26 | 2 | no | — |
| 732 | Q8 | — | 26 | 2 | no | — |
| 733 | Q8 | — | 52 | 4 | no | — |
| 734 | Q8 | — | 52 | 2 | no | — |
| 735 | Q8 | — | 104 | 2 | no | — |
| 736 | D4 | — | 4 | 1 | no | — |
| 737 | D4 | — | 4 | 2 | no | — |
| 738 | D4 | — | 4 | 4 | no | — |
| 739 | D4 | — | 4 | 1 | no | — |
| 740 | D4 | — | 4 | 2 | no | — |
| 741 | D4 | — | 13 | 2 | no | — |
| 742 | D4 | — | 26 | 4 | no | — |
| 743 | D4 | — | 26 | 1 | no | — |
| 744 | D4 | — | 26 | 4 | no | — |
| 745 | D4 | — | 26 | 2 | no | — |
| 746 | D4 | — | 26 | 2 | no | — |
| 747 | D4 | — | 26 | 4 | no | — |
| 748 | D4 | — | 52 | 4 | no | — |
| 749 | D4 | — | 52 | 2 | no | — |
| 750 | D4 | — | 52 | 4 | no | — |
| 751 | D4 | — | 52 | 4 | no | — |
| 752 | D4 | — | 52 | 4 | no | — |
| 753 | D4 | — | 104 | 2 | no | — |
| 754 | D4 | — | 104 | 2 | no | — |
| 755 | D4 | — | 104 | 2 | no | — |
| 756 | D4 | — | 104 | 4 | no | — |
| 757 | D4 | — | 104 | 4 | no | — |
| 758 | D4 | — | 104 | 4 | no | — |
| 759 | D4 | — | 104 | 4 | no | — |
| 760 | C2×C4 | — | 2 | 2 | no | — |
| 761 | C2×C4 | — | 2 | 2 | no | — |
| 762 | C2×C4 | — | 2 | 2 | no | — |
| 763 | C2×C4 | — | 2 | 2 | no | — |
| 764 | C2×C4 | — | 2 | 1 | no | — |
| 765 | C2×C4 | — | 2 | 1 | no | — |
| 766 | C2×C4 | — | 4 | 2 | no | — |
| 767 | C2×C4 | — | 26 | 4 | no | — |
| 768 | C2×C4 | — | 26 | 1 | no | — |
| 769 | C2×C4 | — | 26 | 2 | no | — |
| 770 | C2×C4 | — | 26 | 4 | no | — |
| 771 | C2×C4 | — | 26 | 2 | no | — |
| 772 | C2×C4 | — | 52 | 4 | no | — |
| 773 | C2×C4 | — | 52 | 4 | no | — |
| 774 | C2×C4 | — | 52 | 8 | no | — |
| 775 | C2×C4 | — | 52 | 4 | no | — |
| 776 | C2×C4 | — | 52 | 2 | no | — |
| 777 | C2×C4 | — | 104 | 2 | no | — |
| 778 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 779 | C2×C4 | C22×D52 | 1 | 2 | yes | — |
| 780 | C2×C4 | C22×D52 | 1 | 2 | yes | — |
| 781 | C2×C4 | C22×D52 | 1 | 2 | yes | — |
| 782 | C2×C4 | C22×D52 | 1 | 2 | yes | — |
| 783 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 784 | C8 | — | 2 | 4 | no | — |
| 785 | C8 | — | 2 | 4 | no | — |
| 786 | C22 | — | 2 | 1 | no | — |
| 787 | C22 | — | 2 | 2 | no | — |
| 788 | C22 | — | 2 | 2 | no | — |
| 789 | C22 | — | 2 | 2 | no | — |
| 790 | C22 | — | 2 | 4 | no | — |
| 791 | C22 | — | 2 | 4 | no | — |
| 792 | C22 | — | 26 | 2 | no | — |
| 793 | C22 | — | 52 | 2 | no | — |
| 794 | C22 | — | 52 | 2 | no | — |
| 795 | C22 | — | 52 | 4 | no | — |
| 796 | C22 | — | 52 | 4 | no | — |
| 797 | C22 | — | 52 | 4 | no | — |
| 798 | C22 | — | 52 | 4 | no | — |
| 799 | C22 | — | 208 | 4 | no | — |
| 800 | C22 | — | 208 | 2 | no | — |
| 801 | C22 | — | 208 | 4 | no | — |
| 802 | C22 | — | 208 | 4 | no | — |
| 803 | C22 | C23×D52 | 1 | 1 | yes | characteristic |
| 804 | C4 | — | 2 | 1 | no | — |
| 805 | C4 | — | 2 | 2 | no | — |
| 806 | C4 | — | 2 | 2 | no | — |
| 807 | C4 | — | 2 | 2 | no | — |
| 808 | C4 | — | 2 | 2 | no | — |
| 809 | C4 | — | 26 | 2 | no | — |
| 810 | C4 | — | 52 | 2 | no | — |
| 811 | C4 | — | 52 | 4 | no | — |
| 812 | C4 | — | 52 | 2 | no | — |
| 813 | C4 | D13×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 814 | C4 | D13×H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 815 | C2 | — | 4 | 2 | no | — |
| 816 | C2 | — | 4 | 1 | no | — |
| 817 | C2 | — | 4 | 2 | no | — |
| 818 | C2 | — | 52 | 2 | no | — |
| 819 | C2 | — | 104 | 2 | no | — |
| 820 | C2 | — | 104 | 4 | no | — |
| 821 | C2 | #13128472 | 1 | 1 | yes | characteristic |
| 822 | C2 | #13129617 | 1 | 2 | yes | — |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129241 | C2 | semidirect |
| 2. #13128623 | C2 | semidirect |
| 3. #13127024 | C2 | semidirect |
| 4. #13126994 | C2 | semidirect |
| 5. #13126336 | C2 | semidirect |
| 6. #13126321 | C2 | semidirect |
| 7. #13125825 | C2 | semidirect |
| 8. #13125709 | C2 | semidirect |
| 9. #13125701 | C2 | semidirect |
| 10. #13124988 | C2 | semidirect |
| 11. #13124124 | C2 | semidirect |
| 12. #13124106 | C2 | semidirect |
| 13. C13×#2980 | C2 | semidirect |
| 14. C2×#88257 | C22 | semidirect |
| 15. C2×#88256 | C22 | semidirect |
| 18. #11719535 | C22 | semidirect |
| 19. #11719535 | C22 | semidirect |
| 20. #11719530 | C22 | semidirect |
| 21. C2×#88162 | C22 | semidirect |
| 22. C2×#88162 | C22 | semidirect |
| 23. C22×D104 | C22 | semidirect |
| 24. C22×#6095 | C22 | semidirect |
| 35. #11719268 | C22 | semidirect |
| 36. #11719257 | C22 | semidirect |
| 37. #11719255 | C22 | semidirect |
| 38. D4×D52 | C22 | semidirect |
| 39. #11719182 | C22 | semidirect |
| 40. C2×#88129 | C22 | semidirect |
| 41. C4×#6127 | C22 | semidirect |
| 42. C13×#435 | C22 | semidirect |
| 43. C13×#435 | C22 | semidirect |
| 44. C13×#432 | C22 | semidirect |
| 45. C13×#408 | C22 | semidirect |
| 46. C13×#408 | C22 | semidirect |
| 47. #11718796 | C22 | semidirect |
| 48. #11718795 | C22 | semidirect |
| 49. #11718792 | C22 | semidirect |
| 50. #11718781 | C22 | semidirect |
| 51. #11718776 | C22 | semidirect |
| 52. #11718775 | C22 | semidirect |
| 53. #11718774 | C22 | semidirect |
| 54. #11718774 | C22 | semidirect |
| 55. #11718512 | C22 | semidirect |
| 56. #11718509 | C22 | semidirect |
| 57. #11718507 | C22 | semidirect |
| 58. #11718505 | C22 | semidirect |
| 59. #11718505 | C22 | semidirect |
| 60. #11718504 | C22 | semidirect |
| 61. #11718399 | C22 | semidirect |
| 62. #11718399 | C22 | semidirect |
| 63. #11718398 | C22 | semidirect |
| 64. #11718398 | C22 | semidirect |
| 65. #11718395 | C22 | semidirect |
| 66. #11718395 | C22 | semidirect |
| 67. #11718395 | C22 | semidirect |
| 68. #11718393 | C22 | semidirect |
| 69. #11718393 | C22 | semidirect |
| 70. #11718393 | C22 | semidirect |
| 71. #11718392 | C22 | semidirect |
| 72. #11718384 | C22 | semidirect |
| 73. #11718375 | C22 | semidirect |
| 74. #11718373 | C22 | semidirect |
| 75. #11718372 | C22 | semidirect |
| 76. #11718371 | C22 | semidirect |
| 314. #2980 | D13 | semidirect |
| 442. #435 | C2×D13 | semidirect |
| 443. #435 | C2×D13 | semidirect |
| 444. #432 | C2×D13 | semidirect |
| 449. #408 | C2×D13 | semidirect |
| 450. #408 | C2×D13 | semidirect |
| 712. C13 | #61673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129241 | 2 |
| #13128623 | 2 |
| #13127024 | 2 |
| #13126994 | 2 |
| #13126336 | 2 |
| #13126321 | 2 |
| #13125825 | 2 |
| #13125709 | 2 |
| #13125701 | 2 |
| #13124988 | 2 |
| #13124124 | 2 |
| #13124106 | 2 |
| C13×#2980 | 2 |
| #61673 | 13 |