Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1336 conjugacy classes of subgroups.
The subgroup lattice has 736 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129605 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13124418 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13124413 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13124230 | C2 | 1 | 2 | yes | maximal, complemented |
| 5 | #13123532 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13116141 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13115902 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13115734 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13114879 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13114798 | C2 | 1 | 2 | yes | maximal, complemented |
| 11 | C13×#1976 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #11719648 | C22 | 1 | 2 | yes | — |
| 13 | C2×C13×#135 | C22 | 1 | 1 | yes | characteristic |
| 14 | #11719533 | C22 | 1 | 2 | yes | complemented |
| 15 | #11719527 | C22 | 1 | 2 | yes | — |
| 16 | #11719476 | — | 2 | 1 | no | — |
| 17 | #11719475 | — | 2 | 2 | no | — |
| 18 | #11719474 | — | 2 | 1 | no | — |
| 19 | #11719473 | — | 2 | 2 | no | — |
| 20 | D13×#135 | — | 2 | 2 | no | — |
| 21 | #11719471 | — | 2 | 1 | no | — |
| 22 | #11719467 | — | 2 | 2 | no | — |
| 23 | #11719462 | — | 2 | 1 | no | — |
| 24 | C2×#88158 | C22 | 1 | 1 | yes | characteristic |
| 25 | C2×#88155 | C22 | 1 | 1 | yes | characteristic |
| 26 | C22×C8×D13 | C22 | 1 | 1 | yes | characteristic, complemented |
| 27 | #11719229 | C22 | 1 | 1 | yes | characteristic |
| 28 | #11719229 | C22 | 1 | 2 | yes | complemented |
| 29 | C13×#427 | C22 | 1 | 1 | yes | characteristic, complemented |
| 30 | C13×#421 | C22 | 1 | 2 | yes | complemented |
| 31 | C13×#410 | C22 | 1 | 2 | yes | complemented |
| 32 | C13×#405 | C22 | 1 | 1 | yes | characteristic, complemented |
| 33 | #11718894 | C22 | 1 | 2 | yes | complemented |
| 34 | #11718849 | — | 2 | 1 | no | — |
| 35 | #11718832 | — | 2 | 2 | no | — |
| 36 | #11718818 | — | 2 | 1 | no | — |
| 37 | #11718800 | C22 | 1 | 2 | yes | complemented |
| 38 | #11718790 | C22 | 1 | 1 | yes | characteristic |
| 39 | #11718787 | C22 | 1 | 1 | yes | characteristic, complemented |
| 40 | #11718767 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #11718667 | C22 | 1 | 2 | yes | — |
| 42 | #11718667 | C22 | 1 | 2 | yes | complemented |
| 43 | #11718663 | C22 | 1 | 2 | yes | complemented |
| 44 | #11718660 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #11718548 | — | 2 | 1 | no | — |
| 46 | #11718544 | — | 2 | 1 | no | — |
| 47 | #11718525 | — | 2 | 2 | no | — |
| 48 | #11718403 | — | 2 | 4 | no | — |
| 49 | #11718402 | — | 2 | 4 | no | — |
| 50 | #11718367 | — | 2 | 2 | no | — |
| 51 | C8×D52 | — | 2 | 2 | no | — |
| 52 | #11718123 | C22 | 1 | 2 | yes | complemented |
| 53 | C2×C13×#41 | C23 | 1 | 2 | yes | — |
| 54 | #88257 | — | 2 | 2 | no | — |
| 55 | #88257 | — | 2 | 2 | no | — |
| 56 | #88256 | — | 2 | 2 | no | — |
| 57 | #88256 | — | 2 | 2 | no | — |
| 58 | #41×D13 | — | 2 | 4 | no | — |
| 59 | #41×D13 | — | 4 | 2 | no | — |
| 60 | #88254 | — | 2 | 2 | no | — |
| 61 | #88251 | — | 2 | 2 | no | — |
| 62 | #88251 | — | 2 | 4 | no | — |
| 63 | C2×#6127 | — | 4 | 2 | no | — |
| 64 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 65 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 66 | C22×C4×D13 | C23 | 1 | 1 | yes | characteristic |
| 67 | C13×#135 | — | 2 | 1 | no | — |
| 68 | C13×#135 | — | 2 | 1 | no | — |
| 69 | C13×#135 | — | 2 | 1 | no | — |
| 70 | C13×#135 | — | 2 | 1 | no | — |
| 71 | C2×C13×Q16 | D4 | 1 | 1 | yes | characteristic, complemented |
| 72 | C2×C13×SD16 | D4 | 1 | 2 | yes | complemented |
| 73 | C2×C13×D8 | D4 | 1 | 1 | yes | characteristic, complemented |
| 74 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 76 | C13×#117 | C23 | 1 | 2 | yes | — |
| 77 | C13×#117 | C23 | 1 | 1 | yes | characteristic |
| 78 | #88205 | — | 2 | 2 | no | — |
| 79 | #88204 | — | 2 | 4 | no | — |
| 80 | #88203 | — | 2 | 2 | no | — |
| 81 | #88200 | — | 2 | 2 | no | — |
| 82 | #88196 | — | 2 | 2 | no | — |
| 83 | #88192 | — | 2 | 2 | no | — |
| 84 | #88191 | — | 2 | 2 | no | — |
| 85 | #88189 | — | 2 | 2 | no | — |
| 86 | #88186 | — | 2 | 2 | no | — |
| 87 | C4×C22⋊D13 | — | 4 | 2 | no | — |
| 88 | #88180 | C23 | 1 | 2 | yes | — |
| 89 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 90 | C22×#1055 | C23 | 1 | 1 | yes | characteristic |
| 91 | #88173 | — | 2 | 2 | no | — |
| 92 | #88172 | — | 2 | 4 | no | — |
| 93 | Q16×D13 | — | 2 | 2 | no | — |
| 94 | #88170 | — | 2 | 4 | no | — |
| 95 | #88169 | — | 2 | 4 | no | — |
| 96 | #88168 | — | 2 | 4 | no | — |
| 97 | SD16×D13 | — | 2 | 4 | no | — |
| 98 | #88166 | — | 2 | 2 | no | — |
| 99 | #88165 | — | 2 | 4 | no | — |
| 100 | D8×D13 | — | 2 | 2 | no | — |
| 101 | C2×Dic52 | D4 | 1 | 1 | yes | characteristic, complemented |
| 102 | #88158 | — | 2 | 1 | no | — |
| 103 | #88158 | — | 2 | 1 | no | — |
| 104 | #88158 | — | 2 | 1 | no | — |
| 105 | #88158 | — | 2 | 1 | no | — |
| 106 | C2×D104 | D4 | 1 | 1 | yes | characteristic, complemented |
| 107 | C2×#6095 | D4 | 1 | 2 | yes | complemented |
| 108 | #88155 | — | 2 | 1 | no | — |
| 109 | #88155 | — | 2 | 1 | no | — |
| 110 | #88155 | — | 2 | 1 | no | — |
| 111 | #88155 | — | 2 | 1 | no | — |
| 112 | C2×#6094 | D4 | 1 | 2 | yes | complemented |
| 113 | C2×C8×D13 | — | 2 | 1 | no | — |
| 114 | C2×C8×D13 | — | 2 | 1 | no | — |
| 115 | C2×C8×D13 | — | 2 | 1 | no | — |
| 116 | C2×C8×D13 | — | 2 | 1 | no | — |
| 117 | C2×C8×D13 | — | 2 | 1 | no | — |
| 118 | C2×C8×D13 | — | 2 | 1 | no | — |
| 119 | C2×C8×D13 | D4 | 1 | 2 | yes | complemented |
| 120 | #88151 | — | 2 | 1 | no | — |
| 121 | #88151 | — | 2 | 2 | no | — |
| 122 | #88149 | — | 2 | 1 | no | — |
| 123 | #88149 | — | 2 | 2 | no | — |
| 124 | #88140 | — | 2 | 2 | no | — |
| 125 | #88140 | D4 | 1 | 2 | yes | — |
| 126 | #88136 | — | 2 | 2 | no | — |
| 127 | #88136 | D4 | 1 | 2 | yes | — |
| 128 | C4×D52 | — | 2 | 2 | no | — |
| 129 | C4×D52 | — | 4 | 2 | no | — |
| 130 | C13×#107 | — | 2 | 1 | no | — |
| 131 | C13×#106 | — | 2 | 1 | no | — |
| 132 | C13×#104 | — | 4 | 2 | no | — |
| 133 | C13×#99 | — | 2 | 4 | no | — |
| 134 | C13×#97 | — | 2 | 1 | no | — |
| 135 | C4×C8×C13 | — | 2 | 1 | no | — |
| 136 | #88075 | — | 2 | 2 | no | — |
| 137 | #88072 | — | 2 | 2 | no | — |
| 138 | #88065 | — | 4 | 2 | no | — |
| 139 | #88060 | — | 2 | 2 | no | — |
| 140 | #88060 | — | 2 | 2 | no | — |
| 141 | #88058 | — | 2 | 1 | no | — |
| 142 | #88057 | — | 2 | 1 | no | — |
| 143 | #88050 | — | 2 | 2 | no | — |
| 144 | #88049 | — | 2 | 2 | no | — |
| 145 | #88046 | — | 2 | 4 | no | — |
| 146 | #88046 | — | 2 | 4 | no | — |
| 147 | C4⋊#1055 | — | 2 | 2 | no | — |
| 148 | #24285 | — | 13 | 1 | no | maximal, Sylow |
| 149 | C23×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 150 | C13×#41 | — | 2 | 2 | no | — |
| 151 | C13×#41 | — | 2 | 2 | no | — |
| 152 | C13×#41 | — | 2 | 2 | no | — |
| 153 | C13×#41 | — | 2 | 2 | no | — |
| 154 | C2×Q8×C13 | C2×D4 | 1 | 2 | yes | — |
| 155 | C2×D4×C13 | — | 2 | 2 | no | — |
| 156 | C2×D4×C13 | C2×D4 | 1 | 2 | yes | — |
| 157 | C22×C4×C13 | — | 2 | 2 | no | — |
| 158 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 159 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 160 | C2×C22⋊D13 | — | 4 | 4 | no | — |
| 161 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 162 | C2×C22⋊D13 | C2×D4 | 1 | 2 | yes | — |
| 163 | C22×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 164 | #6131 | — | 2 | 4 | no | — |
| 165 | #6131 | — | 4 | 2 | no | — |
| 166 | Q8×D13 | — | 2 | 4 | no | — |
| 167 | Q8×D13 | — | 4 | 2 | no | — |
| 168 | #6129 | — | 2 | 4 | no | — |
| 169 | #6129 | — | 4 | 2 | no | — |
| 170 | #6129 | — | 4 | 4 | no | — |
| 171 | #6129 | — | 4 | 4 | no | — |
| 172 | D4×D13 | — | 2 | 4 | no | — |
| 173 | D4×D13 | — | 4 | 2 | no | — |
| 174 | D4×D13 | — | 4 | 4 | no | — |
| 175 | D4×D13 | — | 4 | 4 | no | — |
| 176 | #6127 | — | 2 | 1 | no | — |
| 177 | #6127 | — | 2 | 1 | no | — |
| 178 | #6127 | — | 2 | 1 | no | — |
| 179 | #6127 | — | 2 | 1 | no | — |
| 180 | #6127 | — | 2 | 2 | no | — |
| 181 | #6127 | — | 2 | 2 | no | — |
| 182 | #6127 | — | 2 | 2 | no | — |
| 183 | #6127 | — | 2 | 2 | no | — |
| 184 | #6127 | — | 4 | 2 | no | — |
| 185 | #6127 | — | 4 | 2 | no | — |
| 186 | #6127 | — | 4 | 4 | no | — |
| 187 | #6127 | — | 4 | 4 | no | — |
| 188 | C2×D52 | — | 2 | 2 | no | — |
| 189 | C2×D52 | — | 4 | 2 | no | — |
| 190 | C2×D52 | — | 4 | 2 | no | — |
| 191 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 192 | C2×D52 | #41 | 1 | 1 | yes | characteristic |
| 193 | C2×C4×D13 | — | 2 | 1 | no | — |
| 194 | C2×C4×D13 | — | 2 | 1 | no | — |
| 195 | C2×C4×D13 | — | 2 | 1 | no | — |
| 196 | C2×C4×D13 | — | 2 | 1 | no | — |
| 197 | C2×C4×D13 | — | 2 | 1 | no | — |
| 198 | C2×C4×D13 | — | 2 | 2 | no | — |
| 199 | C2×C4×D13 | — | 2 | 1 | no | — |
| 200 | C2×C4×D13 | — | 4 | 4 | no | — |
| 201 | C2×C4×D13 | C2×D4 | 1 | 2 | yes | — |
| 202 | C2×Dic26 | — | 4 | 2 | no | — |
| 203 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 204 | C2×Dic26 | #41 | 1 | 1 | yes | characteristic |
| 205 | C13×Q16 | — | 2 | 1 | no | — |
| 206 | C13×Q16 | — | 2 | 1 | no | — |
| 207 | C13×SD16 | — | 2 | 2 | no | — |
| 208 | C13×SD16 | — | 2 | 2 | no | — |
| 209 | C13×D8 | — | 2 | 1 | no | — |
| 210 | C13×D8 | — | 2 | 1 | no | — |
| 211 | C13×M16 | — | 2 | 1 | no | — |
| 212 | C13×M16 | — | 2 | 1 | no | — |
| 213 | C2×C8×C13 | — | 2 | 1 | no | — |
| 214 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 215 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 218 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 219 | C2×C8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 220 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 221 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 222 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 223 | C13×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 224 | C42×C13 | — | 2 | 1 | no | — |
| 225 | C42×C13 | — | 2 | 2 | no | — |
| 226 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 227 | C22⋊Dic13 | — | 4 | 2 | no | — |
| 228 | #6107 | — | 2 | 4 | no | — |
| 229 | #6106 | — | 2 | 4 | no | — |
| 230 | #6105 | — | 2 | 4 | no | — |
| 231 | #6104 | — | 2 | 4 | no | — |
| 232 | #6103 | — | 2 | 2 | no | — |
| 233 | #6103 | — | 2 | 2 | no | — |
| 234 | #6103 | — | 4 | 2 | no | — |
| 235 | #6103 | — | 4 | 2 | no | — |
| 236 | #6103 | — | 4 | 2 | no | — |
| 237 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 238 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 239 | C4⋊Dic13 | — | 4 | 2 | no | — |
| 240 | #6101 | — | 4 | 2 | no | — |
| 241 | C4×Dic13 | — | 2 | 2 | no | — |
| 242 | #6099 | — | 2 | 1 | no | — |
| 243 | #6099 | — | 2 | 1 | no | — |
| 244 | C2×#1055 | — | 2 | 1 | no | — |
| 245 | C2×#1055 | — | 2 | 1 | no | — |
| 246 | C2×#1055 | — | 2 | 1 | no | — |
| 247 | C2×#1055 | C2×D4 | 1 | 2 | yes | — |
| 248 | Dic52 | — | 2 | 1 | no | — |
| 249 | Dic52 | — | 2 | 1 | no | — |
| 250 | D104 | — | 2 | 1 | no | — |
| 251 | D104 | — | 2 | 1 | no | — |
| 252 | #6095 | — | 2 | 2 | no | — |
| 253 | #6095 | — | 2 | 2 | no | — |
| 254 | #6094 | — | 2 | 2 | no | — |
| 255 | #6094 | — | 2 | 2 | no | — |
| 256 | C8×D13 | — | 2 | 2 | no | — |
| 257 | C8×D13 | — | 2 | 2 | no | — |
| 258 | C8×D13 | — | 4 | 1 | no | — |
| 259 | C8×D13 | — | 4 | 1 | no | — |
| 260 | C8×D13 | — | 4 | 1 | no | — |
| 261 | C8×D13 | — | 4 | 1 | no | — |
| 262 | #3584 | — | 13 | 1 | no | — |
| 263 | #3050 | — | 13 | 1 | no | — |
| 264 | #3050 | — | 13 | 1 | no | — |
| 265 | #3025 | — | 13 | 2 | no | — |
| 266 | #2929 | — | 13 | 1 | no | — |
| 267 | #2053 | — | 13 | 2 | no | — |
| 268 | #2010 | — | 13 | 2 | no | — |
| 269 | #1976 | — | 13 | 1 | no | — |
| 270 | #1976 | D13 | 1 | 1 | yes | characteristic, complemented |
| 271 | #1812 | — | 13 | 1 | no | — |
| 272 | #1794 | — | 13 | 2 | no | — |
| 273 | C23×C13 | — | 2 | 2 | no | — |
| 274 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 275 | C22×D13 | — | 2 | 1 | no | — |
| 276 | C22×D13 | — | 2 | 1 | no | — |
| 277 | C22×D13 | — | 2 | 1 | no | — |
| 278 | C22×D13 | — | 2 | 2 | no | — |
| 279 | C22×D13 | — | 4 | 2 | no | — |
| 280 | C22×D13 | — | 4 | 4 | no | — |
| 281 | C22×D13 | #121 | 1 | 2 | yes | — |
| 282 | Q8×C13 | — | 2 | 2 | no | — |
| 283 | Q8×C13 | — | 2 | 2 | no | — |
| 284 | D4×C13 | — | 2 | 2 | no | — |
| 285 | D4×C13 | — | 2 | 2 | no | — |
| 286 | D4×C13 | — | 4 | 2 | no | — |
| 287 | D4×C13 | — | 4 | 2 | no | — |
| 288 | C2×C4×C13 | — | 2 | 2 | no | — |
| 289 | C2×C4×C13 | — | 2 | 2 | no | — |
| 290 | C2×C4×C13 | — | 4 | 2 | no | — |
| 291 | C2×C4×C13 | — | 4 | 2 | no | — |
| 292 | C2×C4×C13 | — | 4 | 2 | no | — |
| 293 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 294 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 295 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 296 | C2×C4×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 297 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 298 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 299 | C22⋊D13 | — | 2 | 2 | no | — |
| 300 | C22⋊D13 | — | 2 | 2 | no | — |
| 301 | C22⋊D13 | — | 4 | 4 | no | — |
| 302 | C22⋊D13 | — | 4 | 4 | no | — |
| 303 | C22⋊D13 | — | 4 | 2 | no | — |
| 304 | C22⋊D13 | — | 4 | 2 | no | — |
| 305 | C22⋊D13 | — | 8 | 4 | no | — |
| 306 | C2×Dic13 | — | 2 | 1 | no | — |
| 307 | C2×Dic13 | — | 2 | 1 | no | — |
| 308 | C2×Dic13 | — | 2 | 1 | no | — |
| 309 | C2×Dic13 | — | 2 | 2 | no | — |
| 310 | C2×Dic13 | — | 4 | 4 | no | — |
| 311 | C2×Dic13 | — | 4 | 2 | no | — |
| 312 | C2×Dic13 | #121 | 1 | 2 | yes | — |
| 313 | D52 | — | 2 | 2 | no | — |
| 314 | D52 | — | 2 | 1 | no | — |
| 315 | D52 | — | 2 | 1 | no | — |
| 316 | D52 | — | 2 | 2 | no | — |
| 317 | D52 | — | 4 | 4 | no | — |
| 318 | D52 | — | 4 | 4 | no | — |
| 319 | D52 | — | 8 | 4 | no | — |
| 320 | C4×D13 | — | 2 | 2 | no | — |
| 321 | C4×D13 | — | 2 | 2 | no | — |
| 322 | C4×D13 | — | 4 | 4 | no | — |
| 323 | C4×D13 | — | 4 | 4 | no | — |
| 324 | C4×D13 | — | 4 | 1 | no | — |
| 325 | C4×D13 | — | 4 | 1 | no | — |
| 326 | C4×D13 | — | 4 | 2 | no | — |
| 327 | C4×D13 | — | 4 | 1 | no | — |
| 328 | C4×D13 | — | 4 | 1 | no | — |
| 329 | C4×D13 | — | 4 | 2 | no | — |
| 330 | Dic26 | — | 2 | 1 | no | — |
| 331 | Dic26 | — | 2 | 1 | no | — |
| 332 | Dic26 | — | 2 | 2 | no | — |
| 333 | Dic26 | — | 2 | 2 | no | — |
| 334 | Dic26 | — | 4 | 4 | no | — |
| 335 | C8×C13 | — | 4 | 1 | no | — |
| 336 | C8×C13 | #120 | 1 | 1 | yes | characteristic |
| 337 | C8×C13 | #120 | 1 | 1 | yes | characteristic |
| 338 | C8×C13 | #120 | 1 | 1 | yes | characteristic |
| 339 | C8×C13 | #120 | 1 | 1 | yes | characteristic |
| 340 | #1055 | — | 2 | 2 | no | — |
| 341 | #1055 | — | 4 | 1 | no | — |
| 342 | #585 | — | 13 | 2 | no | — |
| 343 | #578 | — | 26 | 1 | no | — |
| 344 | #578 | — | 26 | 1 | no | — |
| 345 | #577 | — | 26 | 2 | no | — |
| 346 | #577 | — | 26 | 2 | no | — |
| 347 | #576 | — | 26 | 1 | no | — |
| 348 | #576 | — | 26 | 1 | no | — |
| 349 | #575 | — | 13 | 2 | no | — |
| 350 | #575 | — | 26 | 2 | no | — |
| 351 | C2×#135 | — | 13 | 1 | no | — |
| 352 | C2×#135 | — | 26 | 2 | no | — |
| 353 | C2×#135 | C2×D13 | 1 | 1 | yes | characteristic |
| 354 | C2×#131 | — | 13 | 1 | no | — |
| 355 | C23×C8 | — | 13 | 1 | no | — |
| 356 | #525 | — | 13 | 2 | no | — |
| 357 | #525 | — | 13 | 1 | no | — |
| 358 | #525 | — | 13 | 2 | no | — |
| 359 | #467 | — | 26 | 1 | no | — |
| 360 | #467 | — | 26 | 1 | no | — |
| 361 | #466 | — | 26 | 1 | no | — |
| 362 | #466 | — | 26 | 1 | no | — |
| 363 | #465 | — | 26 | 2 | no | — |
| 364 | #465 | — | 26 | 2 | no | — |
| 365 | #458 | — | 26 | 4 | no | — |
| 366 | B(4,𝔽2) | — | 26 | 4 | no | — |
| 367 | #435 | — | 26 | 2 | no | — |
| 368 | C8×D4 | — | 26 | 2 | no | — |
| 369 | #427 | — | 13 | 1 | no | — |
| 370 | #427 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 371 | #424 | — | 13 | 1 | no | — |
| 372 | #421 | — | 13 | 2 | no | — |
| 373 | #421 | C2×D13 | 1 | 2 | yes | complemented |
| 374 | #416 | — | 13 | 2 | no | — |
| 375 | #416 | — | 13 | 2 | no | — |
| 376 | #410 | — | 13 | 2 | no | — |
| 377 | #410 | — | 13 | 2 | no | — |
| 378 | #410 | C2×D13 | 1 | 2 | yes | complemented |
| 379 | #408 | — | 13 | 1 | no | — |
| 380 | #407 | — | 13 | 1 | no | — |
| 381 | #405 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 382 | H(3,ℤ/4) | — | 13 | 2 | no | — |
| 383 | C22×C13 | — | 4 | 1 | no | — |
| 384 | C22×C13 | — | 4 | 2 | no | — |
| 385 | C22×C13 | — | 8 | 2 | no | — |
| 386 | C22×C13 | C2×#121 | 1 | 1 | yes | characteristic |
| 387 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 388 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 389 | C2×D13 | — | 2 | 2 | no | — |
| 390 | C2×D13 | — | 2 | 2 | no | — |
| 391 | C2×D13 | — | 2 | 2 | no | — |
| 392 | C2×D13 | — | 2 | 2 | no | — |
| 393 | C2×D13 | — | 4 | 1 | no | — |
| 394 | C2×D13 | — | 4 | 1 | no | — |
| 395 | C2×D13 | — | 4 | 1 | no | — |
| 396 | C2×D13 | — | 4 | 1 | no | — |
| 397 | C2×D13 | — | 4 | 2 | no | — |
| 398 | C2×D13 | — | 4 | 2 | no | — |
| 399 | C2×D13 | — | 8 | 2 | no | — |
| 400 | C2×D13 | — | 16 | 4 | no | — |
| 401 | C4×C13 | — | 4 | 2 | no | — |
| 402 | C4×C13 | — | 4 | 2 | no | — |
| 403 | C4×C13 | — | 8 | 2 | no | — |
| 404 | C4×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 405 | C4×C13 | #535 | 1 | 1 | yes | characteristic |
| 406 | C4×C13 | #546 | 1 | 1 | yes | characteristic |
| 407 | C4×C13 | #546 | 1 | 1 | yes | characteristic |
| 408 | Dic13 | — | 2 | 2 | no | — |
| 409 | Dic13 | — | 4 | 2 | no | — |
| 410 | Dic13 | — | 4 | 1 | no | — |
| 411 | Dic13 | — | 8 | 2 | no | — |
| 412 | 2−1+4 | — | 26 | 2 | no | — |
| 413 | 2−1+4 | — | 26 | 2 | no | — |
| 414 | 2−1+4 | — | 26 | 2 | no | — |
| 415 | H(5,𝔽2) | — | 26 | 4 | no | — |
| 416 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 417 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 418 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 419 | C2×#41 | — | 13 | 1 | no | — |
| 420 | C2×#41 | — | 13 | 2 | no | — |
| 421 | C2×#41 | — | 26 | 4 | no | — |
| 422 | C2×#41 | — | 52 | 2 | no | — |
| 423 | C2×#41 | — | 52 | 2 | no | — |
| 424 | C2×#41 | C22×D13 | 1 | 2 | yes | — |
| 425 | C23×C4 | — | 13 | 1 | no | — |
| 426 | #137 | — | 26 | 4 | no | — |
| 427 | #137 | — | 26 | 4 | no | — |
| 428 | #137 | — | 26 | 2 | no | — |
| 429 | #137 | — | 26 | 2 | no | — |
| 430 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 431 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 432 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 433 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 434 | #135 | — | 2 | 1 | no | — |
| 435 | #135 | — | 2 | 1 | no | — |
| 436 | #135 | — | 2 | 1 | no | — |
| 437 | #135 | — | 2 | 1 | no | — |
| 438 | #135 | — | 26 | 4 | no | — |
| 439 | #135 | — | 26 | 2 | no | — |
| 440 | #135 | — | 26 | 4 | no | — |
| 441 | #135 | — | 26 | 2 | no | — |
| 442 | #135 | — | 26 | 1 | no | — |
| 443 | #135 | — | 26 | 1 | no | — |
| 444 | #135 | — | 26 | 1 | no | — |
| 445 | #135 | — | 26 | 1 | no | — |
| 446 | C2×Q16 | — | 13 | 1 | no | — |
| 447 | C2×Q16 | — | 26 | 2 | no | — |
| 448 | C2×Q16 | D52 | 1 | 1 | yes | characteristic, complemented |
| 449 | C2×SD16 | — | 13 | 2 | no | — |
| 450 | C2×SD16 | — | 26 | 4 | no | — |
| 451 | C2×SD16 | D52 | 1 | 2 | yes | complemented |
| 452 | C2×D8 | — | 13 | 1 | no | — |
| 453 | C2×D8 | — | 26 | 2 | no | — |
| 454 | C2×D8 | D52 | 1 | 1 | yes | characteristic, complemented |
| 455 | #131 | — | 26 | 1 | no | — |
| 456 | #131 | — | 26 | 1 | no | — |
| 457 | #131 | — | 26 | 1 | no | — |
| 458 | #131 | — | 26 | 1 | no | — |
| 459 | C2×M16 | — | 13 | 1 | no | — |
| 460 | C2×M16 | — | 13 | 2 | no | — |
| 461 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 462 | C22×C8 | — | 13 | 2 | no | — |
| 463 | C22×C8 | — | 13 | 1 | no | — |
| 464 | C22×C8 | — | 26 | 1 | no | — |
| 465 | C22×C8 | — | 26 | 1 | no | — |
| 466 | C22×C8 | — | 26 | 1 | no | — |
| 467 | C22×C8 | — | 26 | 1 | no | — |
| 468 | C22×C8 | — | 26 | 1 | no | — |
| 469 | C22×C8 | — | 26 | 1 | no | — |
| 470 | C22×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 471 | #123 | — | 13 | 2 | no | — |
| 472 | #123 | — | 26 | 2 | no | — |
| 473 | #123 | — | 26 | 2 | no | — |
| 474 | C22⋊Q8 | — | 26 | 1 | no | — |
| 475 | C22⋊Q8 | — | 26 | 2 | no | — |
| 476 | C22⋊Q8 | — | 26 | 2 | no | — |
| 477 | #121 | — | 26 | 1 | no | — |
| 478 | #121 | — | 26 | 2 | no | — |
| 479 | #121 | — | 26 | 2 | no | — |
| 480 | #120 | — | 13 | 2 | no | — |
| 481 | #120 | — | 26 | 2 | no | — |
| 482 | #120 | — | 26 | 2 | no | — |
| 483 | C4×D4 | — | 26 | 2 | no | — |
| 484 | C4×D4 | — | 52 | 2 | no | — |
| 485 | C4×D4 | — | 52 | 2 | no | — |
| 486 | #117 | — | 13 | 2 | no | — |
| 487 | #117 | C22×D13 | 1 | 2 | yes | — |
| 488 | #117 | C22×D13 | 1 | 1 | yes | characteristic |
| 489 | #107 | — | 2 | 1 | no | — |
| 490 | #107 | — | 26 | 1 | no | — |
| 491 | #106 | — | 2 | 1 | no | — |
| 492 | #106 | — | 26 | 1 | no | — |
| 493 | C4⋊C8 | — | 26 | 2 | no | — |
| 494 | #104 | — | 4 | 2 | no | — |
| 495 | #104 | — | 52 | 2 | no | — |
| 496 | #103 | — | 26 | 2 | no | — |
| 497 | #103 | — | 26 | 2 | no | — |
| 498 | #102 | — | 26 | 2 | no | — |
| 499 | #102 | — | 26 | 2 | no | — |
| 500 | #99 | — | 2 | 4 | no | — |
| 501 | #99 | — | 26 | 4 | no | — |
| 502 | #99 | — | 26 | 4 | no | — |
| 503 | C22⋊C8 | — | 26 | 2 | no | — |
| 504 | C22⋊C8 | — | 26 | 2 | no | — |
| 505 | #97 | — | 2 | 1 | no | — |
| 506 | C4×C8 | — | 2 | 1 | no | — |
| 507 | C2×C13 | — | 2 | 1 | no | — |
| 508 | C2×C13 | — | 2 | 1 | no | — |
| 509 | C2×C13 | — | 2 | 1 | no | — |
| 510 | C2×C13 | — | 8 | 2 | no | — |
| 511 | C2×C13 | #2408 | 1 | 1 | yes | characteristic |
| 512 | D13 | — | 4 | 2 | no | — |
| 513 | D13 | — | 4 | 2 | no | — |
| 514 | D13 | — | 8 | 2 | no | — |
| 515 | C24 | — | 13 | 1 | no | — |
| 516 | #41 | — | 2 | 2 | no | — |
| 517 | #41 | — | 2 | 2 | no | — |
| 518 | #41 | — | 2 | 2 | no | — |
| 519 | #41 | — | 2 | 2 | no | — |
| 520 | #41 | — | 26 | 1 | no | — |
| 521 | #41 | — | 26 | 1 | no | — |
| 522 | #41 | — | 26 | 1 | no | — |
| 523 | #41 | — | 26 | 1 | no | — |
| 524 | #41 | — | 26 | 4 | no | — |
| 525 | #41 | — | 26 | 4 | no | — |
| 526 | #41 | — | 26 | 2 | no | — |
| 527 | #41 | — | 26 | 2 | no | — |
| 528 | #41 | — | 26 | 2 | no | — |
| 529 | #41 | — | 26 | 2 | no | — |
| 530 | #41 | — | 52 | 4 | no | — |
| 531 | #41 | — | 52 | 4 | no | — |
| 532 | #41 | — | 52 | 2 | no | — |
| 533 | #41 | — | 52 | 2 | no | — |
| 534 | #41 | — | 52 | 4 | no | — |
| 535 | #41 | — | 52 | 4 | no | — |
| 536 | #41 | — | 52 | 2 | no | — |
| 537 | #41 | — | 52 | 2 | no | — |
| 538 | C2×Q8 | — | 13 | 1 | no | — |
| 539 | C2×Q8 | — | 13 | 2 | no | — |
| 540 | C2×Q8 | — | 26 | 4 | no | — |
| 541 | C2×Q8 | — | 52 | 2 | no | — |
| 542 | C2×Q8 | — | 52 | 2 | no | — |
| 543 | C2×Q8 | C2×D52 | 1 | 2 | yes | — |
| 544 | C2×D4 | — | 2 | 2 | no | — |
| 545 | C2×D4 | — | 13 | 2 | no | — |
| 546 | C2×D4 | — | 13 | 2 | no | — |
| 547 | C2×D4 | — | 13 | 1 | no | — |
| 548 | C2×D4 | — | 26 | 2 | no | — |
| 549 | C2×D4 | — | 26 | 4 | no | — |
| 550 | C2×D4 | — | 26 | 2 | no | — |
| 551 | C2×D4 | — | 52 | 2 | no | — |
| 552 | C2×D4 | — | 52 | 2 | no | — |
| 553 | C2×D4 | — | 52 | 2 | no | — |
| 554 | C2×D4 | — | 52 | 4 | no | — |
| 555 | C2×D4 | — | 52 | 4 | no | — |
| 556 | C2×D4 | — | 52 | 4 | no | — |
| 557 | C2×D4 | — | 52 | 2 | no | — |
| 558 | C2×D4 | C2×D52 | 1 | 2 | yes | — |
| 559 | C22×C4 | — | 2 | 2 | no | — |
| 560 | C22×C4 | — | 13 | 2 | no | — |
| 561 | C22×C4 | — | 13 | 1 | no | — |
| 562 | C22×C4 | — | 26 | 1 | no | — |
| 563 | C22×C4 | — | 26 | 1 | no | — |
| 564 | C22×C4 | — | 26 | 1 | no | — |
| 565 | C22×C4 | — | 26 | 1 | no | — |
| 566 | C22×C4 | — | 26 | 2 | no | — |
| 567 | C22×C4 | — | 26 | 1 | no | — |
| 568 | C22×C4 | — | 26 | 1 | no | — |
| 569 | C22×C4 | — | 52 | 4 | no | — |
| 570 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 571 | Q16 | — | 2 | 1 | no | — |
| 572 | Q16 | — | 2 | 1 | no | — |
| 573 | Q16 | — | 26 | 4 | no | — |
| 574 | Q16 | — | 26 | 1 | no | — |
| 575 | Q16 | — | 26 | 1 | no | — |
| 576 | SD16 | — | 2 | 2 | no | — |
| 577 | SD16 | — | 2 | 2 | no | — |
| 578 | SD16 | — | 26 | 4 | no | — |
| 579 | SD16 | — | 26 | 4 | no | — |
| 580 | SD16 | — | 26 | 2 | no | — |
| 581 | SD16 | — | 26 | 2 | no | — |
| 582 | D8 | — | 2 | 1 | no | — |
| 583 | D8 | — | 2 | 1 | no | — |
| 584 | D8 | — | 26 | 4 | no | — |
| 585 | D8 | — | 26 | 1 | no | — |
| 586 | D8 | — | 26 | 1 | no | — |
| 587 | M16 | — | 2 | 1 | no | — |
| 588 | M16 | — | 2 | 1 | no | — |
| 589 | M16 | — | 26 | 1 | no | — |
| 590 | M16 | — | 26 | 1 | no | — |
| 591 | M16 | — | 26 | 2 | no | — |
| 592 | M16 | — | 26 | 2 | no | — |
| 593 | C2×C8 | — | 2 | 1 | no | — |
| 594 | C2×C8 | — | 13 | 2 | no | — |
| 595 | C2×C8 | — | 26 | 2 | no | — |
| 596 | C2×C8 | — | 26 | 2 | no | — |
| 597 | C2×C8 | — | 26 | 1 | no | — |
| 598 | C2×C8 | — | 26 | 1 | no | — |
| 599 | C2×C8 | — | 26 | 1 | no | — |
| 600 | C2×C8 | — | 52 | 1 | no | — |
| 601 | C2×C8 | — | 52 | 1 | no | — |
| 602 | C2×C8 | — | 52 | 1 | no | — |
| 603 | C2×C8 | — | 52 | 1 | no | — |
| 604 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 605 | C2×C8 | C2×D52 | 1 | 1 | yes | characteristic |
| 606 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 607 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 608 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 609 | C2×C8 | D4×D13 | 1 | 1 | yes | characteristic |
| 610 | C4⋊C4 | — | 2 | 1 | no | — |
| 611 | C4⋊C4 | — | 2 | 2 | no | — |
| 612 | C4⋊C4 | — | 26 | 2 | no | — |
| 613 | C4⋊C4 | — | 26 | 2 | no | — |
| 614 | C4⋊C4 | — | 52 | 2 | no | — |
| 615 | C4⋊C4 | — | 52 | 2 | no | — |
| 616 | C22⋊C4 | — | 2 | 2 | no | — |
| 617 | C22⋊C4 | — | 26 | 2 | no | — |
| 618 | C22⋊C4 | — | 26 | 2 | no | — |
| 619 | C22⋊C4 | — | 26 | 2 | no | — |
| 620 | C22⋊C4 | — | 52 | 2 | no | — |
| 621 | C22⋊C4 | — | 52 | 2 | no | — |
| 622 | C22⋊C4 | — | 52 | 2 | no | — |
| 623 | C22⋊C4 | — | 52 | 2 | no | — |
| 624 | C22⋊C4 | D4×D13 | 1 | 2 | yes | — |
| 625 | C42 | — | 2 | 1 | no | — |
| 626 | C42 | — | 2 | 2 | no | — |
| 627 | C42 | — | 26 | 2 | no | — |
| 628 | C13 | #24285 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 629 | C23 | — | 2 | 2 | no | — |
| 630 | C23 | — | 13 | 2 | no | — |
| 631 | C23 | — | 26 | 1 | no | — |
| 632 | C23 | — | 26 | 1 | no | — |
| 633 | C23 | — | 26 | 1 | no | — |
| 634 | C23 | — | 26 | 2 | no | — |
| 635 | C23 | — | 52 | 2 | no | — |
| 636 | C23 | — | 52 | 4 | no | — |
| 637 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 638 | Q8 | — | 2 | 2 | no | — |
| 639 | Q8 | — | 2 | 2 | no | — |
| 640 | Q8 | — | 26 | 1 | no | — |
| 641 | Q8 | — | 26 | 1 | no | — |
| 642 | Q8 | — | 26 | 2 | no | — |
| 643 | Q8 | — | 26 | 2 | no | — |
| 644 | Q8 | — | 52 | 4 | no | — |
| 645 | D4 | — | 2 | 2 | no | — |
| 646 | D4 | — | 2 | 2 | no | — |
| 647 | D4 | — | 4 | 2 | no | — |
| 648 | D4 | — | 4 | 2 | no | — |
| 649 | D4 | — | 26 | 2 | no | — |
| 650 | D4 | — | 26 | 2 | no | — |
| 651 | D4 | — | 26 | 2 | no | — |
| 652 | D4 | — | 26 | 1 | no | — |
| 653 | D4 | — | 26 | 1 | no | — |
| 654 | D4 | — | 26 | 2 | no | — |
| 655 | D4 | — | 52 | 4 | no | — |
| 656 | D4 | — | 52 | 4 | no | — |
| 657 | D4 | — | 52 | 4 | no | — |
| 658 | D4 | — | 52 | 4 | no | — |
| 659 | D4 | — | 52 | 2 | no | — |
| 660 | D4 | — | 52 | 2 | no | — |
| 661 | D4 | — | 104 | 4 | no | — |
| 662 | D4 | — | 104 | 4 | no | — |
| 663 | C2×C4 | — | 2 | 2 | no | — |
| 664 | C2×C4 | — | 2 | 2 | no | — |
| 665 | C2×C4 | — | 4 | 2 | no | — |
| 666 | C2×C4 | — | 4 | 2 | no | — |
| 667 | C2×C4 | — | 4 | 2 | no | — |
| 668 | C2×C4 | — | 13 | 2 | no | — |
| 669 | C2×C4 | — | 26 | 2 | no | — |
| 670 | C2×C4 | — | 26 | 2 | no | — |
| 671 | C2×C4 | — | 26 | 1 | no | — |
| 672 | C2×C4 | — | 26 | 1 | no | — |
| 673 | C2×C4 | — | 26 | 1 | no | — |
| 674 | C2×C4 | — | 26 | 2 | no | — |
| 675 | C2×C4 | — | 52 | 4 | no | — |
| 676 | C2×C4 | — | 52 | 4 | no | — |
| 677 | C2×C4 | — | 52 | 4 | no | — |
| 678 | C2×C4 | — | 52 | 1 | no | — |
| 679 | C2×C4 | — | 52 | 1 | no | — |
| 680 | C2×C4 | — | 52 | 2 | no | — |
| 681 | C2×C4 | — | 52 | 1 | no | — |
| 682 | C2×C4 | — | 52 | 2 | no | — |
| 683 | C2×C4 | — | 52 | 1 | no | — |
| 684 | C2×C4 | — | 52 | 2 | no | — |
| 685 | C2×C4 | C22×D52 | 1 | 1 | yes | characteristic |
| 686 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 687 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 688 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 689 | C2×C4 | #41×D13 | 1 | 1 | yes | characteristic |
| 690 | C2×C4 | #88256 | 1 | 1 | yes | characteristic |
| 691 | C8 | — | 4 | 1 | no | — |
| 692 | C8 | — | 26 | 2 | no | — |
| 693 | C8 | — | 52 | 1 | no | — |
| 694 | C8 | #88136 | 1 | 1 | yes | characteristic |
| 695 | C8 | #88136 | 1 | 1 | yes | characteristic |
| 696 | C8 | #88136 | 1 | 1 | yes | characteristic |
| 697 | C8 | #88136 | 1 | 1 | yes | characteristic |
| 698 | C22 | — | 4 | 1 | no | — |
| 699 | C22 | — | 4 | 2 | no | — |
| 700 | C22 | — | 8 | 2 | no | — |
| 701 | C22 | — | 26 | 2 | no | — |
| 702 | C22 | — | 26 | 2 | no | — |
| 703 | C22 | — | 26 | 2 | no | — |
| 704 | C22 | — | 26 | 2 | no | — |
| 705 | C22 | — | 52 | 2 | no | — |
| 706 | C22 | — | 52 | 1 | no | — |
| 707 | C22 | — | 52 | 1 | no | — |
| 708 | C22 | — | 52 | 1 | no | — |
| 709 | C22 | — | 52 | 1 | no | — |
| 710 | C22 | — | 52 | 2 | no | — |
| 711 | C22 | — | 104 | 2 | no | — |
| 712 | C22 | — | 208 | 4 | no | — |
| 713 | C22 | D4×D52 | 1 | 1 | yes | characteristic |
| 714 | C22 | D13×#121 | 1 | 1 | yes | characteristic |
| 715 | C22 | #11719422 | 1 | 1 | yes | characteristic |
| 716 | C4 | — | 4 | 2 | no | — |
| 717 | C4 | — | 4 | 2 | no | — |
| 718 | C4 | — | 8 | 2 | no | — |
| 719 | C4 | — | 26 | 2 | no | — |
| 720 | C4 | — | 52 | 1 | no | — |
| 721 | C4 | — | 52 | 2 | no | — |
| 722 | C4 | — | 104 | 2 | no | — |
| 723 | C4 | C2×#88136 | 1 | 1 | yes | characteristic |
| 724 | C4 | #11719259 | 1 | 1 | yes | characteristic |
| 725 | C4 | #11719312 | 1 | 1 | yes | characteristic |
| 726 | C4 | #11719381 | 1 | 1 | yes | characteristic |
| 727 | C2 | — | 2 | 1 | no | — |
| 728 | C2 | — | 2 | 1 | no | — |
| 729 | C2 | — | 2 | 1 | no | — |
| 730 | C2 | — | 8 | 2 | no | — |
| 731 | C2 | — | 52 | 2 | no | — |
| 732 | C2 | — | 52 | 2 | no | — |
| 733 | C2 | — | 104 | 2 | no | — |
| 734 | C2 | #13118190 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129605 | C2 | semidirect |
| 2. #13124418 | C2 | semidirect |
| 3. #13124413 | C2 | semidirect |
| 4. #13124230 | C2 | semidirect |
| 5. #13123532 | C2 | semidirect |
| 6. #13116141 | C2 | semidirect |
| 7. #13115902 | C2 | semidirect |
| 8. #13115734 | C2 | semidirect |
| 9. #13114879 | C2 | semidirect |
| 10. #13114798 | C2 | semidirect |
| 11. C13×#1976 | C2 | semidirect |
| 14. #11719533 | C22 | semidirect |
| 26. C22×C8×D13 | C22 | semidirect |
| 28. #11719229 | C22 | semidirect |
| 29. C13×#427 | C22 | semidirect |
| 30. C13×#421 | C22 | semidirect |
| 31. C13×#410 | C22 | semidirect |
| 32. C13×#405 | C22 | semidirect |
| 33. #11718894 | C22 | semidirect |
| 37. #11718800 | C22 | semidirect |
| 39. #11718787 | C22 | semidirect |
| 40. #11718767 | C22 | semidirect |
| 42. #11718667 | C22 | semidirect |
| 43. #11718663 | C22 | semidirect |
| 44. #11718660 | C22 | semidirect |
| 52. #11718123 | C22 | semidirect |
| 71. C2×C13×Q16 | D4 | semidirect |
| 72. C2×C13×SD16 | D4 | semidirect |
| 73. C2×C13×D8 | D4 | semidirect |
| 101. C2×Dic52 | D4 | semidirect |
| 106. C2×D104 | D4 | semidirect |
| 107. C2×#6095 | D4 | semidirect |
| 112. C2×#6094 | D4 | semidirect |
| 119. C2×C8×D13 | D4 | semidirect |
| 270. #1976 | D13 | semidirect |
| 370. #427 | C2×D13 | semidirect |
| 373. #421 | C2×D13 | semidirect |
| 378. #410 | C2×D13 | semidirect |
| 381. #405 | C2×D13 | semidirect |
| 448. C2×Q16 | D52 | semidirect |
| 451. C2×SD16 | D52 | semidirect |
| 454. C2×D8 | D52 | semidirect |
| 628. C13 | #24285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129605 | 2 |
| #13124418 | 2 |
| #13124413 | 2 |
| #13124230 | 2 |
| #13123532 | 2 |
| #13116141 | 2 |
| #13115902 | 2 |
| #13115734 | 2 |
| #13114879 | 2 |
| #13114798 | 2 |
| C13×#1976 | 2 |
| #24285 | 13 |