Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2068 conjugacy classes of subgroups.
The subgroup lattice has 784 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129234 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13128602 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13127166 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13126946 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13126704 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13126569 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13126485 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13126420 | C2 | 1 | 4 | yes | maximal, complemented |
| 9 | #13125792 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13125745 | C2 | 1 | 4 | yes | maximal, complemented |
| 11 | #13124967 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13124863 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13124149 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #13123914 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#3214 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#88257 | C22 | 1 | 2 | yes | — |
| 17 | C13×#532 | C22 | 1 | 1 | yes | characteristic |
| 18 | C13×#532 | C22 | 1 | 1 | yes | characteristic |
| 19 | #11719538 | — | 2 | 2 | no | — |
| 20 | #11719538 | C22 | 1 | 2 | yes | — |
| 21 | C2×#88169 | C22 | 1 | 4 | yes | — |
| 22 | C2×#88166 | C22 | 1 | 4 | yes | — |
| 23 | #11719435 | C22 | 1 | 2 | yes | — |
| 24 | #11719432 | C22 | 1 | 2 | yes | — |
| 25 | #11719423 | C22 | 1 | 2 | yes | — |
| 26 | #11719423 | C22 | 1 | 2 | yes | — |
| 27 | #11719389 | — | 2 | 2 | no | — |
| 28 | #11719382 | C22 | 1 | 4 | yes | — |
| 29 | #11719324 | — | 2 | 2 | no | — |
| 30 | #11719313 | C22 | 1 | 4 | yes | — |
| 31 | #11719302 | — | 2 | 2 | no | — |
| 32 | #11719301 | — | 2 | 2 | no | — |
| 33 | #11719260 | C22 | 1 | 2 | yes | — |
| 34 | #11719258 | — | 2 | 1 | no | — |
| 35 | #11719258 | — | 2 | 1 | no | — |
| 36 | #11719257 | — | 2 | 2 | no | — |
| 37 | #11719256 | C22 | 1 | 2 | yes | — |
| 38 | #11719248 | — | 2 | 1 | no | — |
| 39 | D4×Dic26 | — | 2 | 1 | no | — |
| 40 | #11719182 | C22 | 1 | 1 | yes | characteristic |
| 41 | #11719175 | C22 | 1 | 1 | yes | characteristic |
| 42 | C2×C4×Dic26 | C22 | 1 | 1 | yes | characteristic |
| 43 | C13×#496 | C22 | 1 | 2 | yes | — |
| 44 | C13×#489 | C22 | 1 | 2 | yes | — |
| 45 | C13×#461 | C22 | 1 | 2 | yes | — |
| 46 | C13×#459 | C22 | 1 | 2 | yes | — |
| 47 | C13×#449 | C22 | 1 | 4 | yes | — |
| 48 | C13×#432 | C22 | 1 | 1 | yes | characteristic |
| 49 | #11718900 | C22 | 1 | 4 | yes | — |
| 50 | #11718834 | C22 | 1 | 4 | yes | — |
| 51 | #11718832 | C22 | 1 | 4 | yes | — |
| 52 | #11718831 | C22 | 1 | 4 | yes | — |
| 53 | #11718820 | C22 | 1 | 4 | yes | — |
| 54 | #11718819 | C22 | 1 | 4 | yes | — |
| 55 | #11718819 | C22 | 1 | 4 | yes | — |
| 56 | #11718755 | C22 | 1 | 2 | yes | — |
| 57 | #11718753 | C22 | 1 | 1 | yes | characteristic |
| 58 | #11718742 | C22 | 1 | 1 | yes | characteristic |
| 59 | #11718737 | C22 | 1 | 1 | yes | characteristic |
| 60 | #11718736 | C22 | 1 | 2 | yes | — |
| 61 | #11718731 | C22 | 1 | 1 | yes | characteristic |
| 62 | #11718715 | C22 | 1 | 4 | yes | — |
| 63 | #11718701 | C22 | 1 | 2 | yes | — |
| 64 | #11718695 | C22 | 1 | 2 | yes | — |
| 65 | C4×#6105 | C22 | 1 | 2 | yes | — |
| 66 | C4×#6105 | C22 | 1 | 2 | yes | — |
| 67 | #11718586 | C22 | 1 | 1 | yes | characteristic |
| 68 | #11718512 | C22 | 1 | 2 | yes | — |
| 69 | #11718510 | C22 | 1 | 2 | yes | — |
| 70 | #11718499 | C22 | 1 | 2 | yes | — |
| 71 | #11718495 | C22 | 1 | 2 | yes | — |
| 72 | #11718477 | C22 | 1 | 4 | yes | — |
| 73 | #11718469 | C22 | 1 | 4 | yes | — |
| 74 | #11718466 | C22 | 1 | 4 | yes | — |
| 75 | D13×#103 | C22 | 1 | 4 | yes | — |
| 76 | #11718444 | C22 | 1 | 4 | yes | — |
| 77 | #11718439 | C22 | 1 | 4 | yes | — |
| 78 | #11718438 | C22 | 1 | 4 | yes | — |
| 79 | #11718432 | C22 | 1 | 4 | yes | — |
| 80 | #11718400 | C22 | 1 | 2 | yes | — |
| 81 | #11718388 | C22 | 1 | 4 | yes | — |
| 82 | #11718382 | C22 | 1 | 2 | yes | — |
| 83 | #11718377 | C22 | 1 | 4 | yes | — |
| 84 | #11718367 | C22 | 1 | 4 | yes | — |
| 85 | C2×C13×#41 | — | 2 | 1 | no | — |
| 86 | C2×C13×#41 | C23 | 1 | 2 | yes | — |
| 87 | #88257 | — | 4 | 8 | no | — |
| 88 | C2×Q8×D13 | C23 | 1 | 4 | yes | — |
| 89 | C2×#6129 | — | 2 | 4 | no | — |
| 90 | C2×#6129 | C23 | 1 | 4 | yes | — |
| 91 | C2×#6129 | C23 | 1 | 4 | yes | — |
| 92 | C2×#6127 | — | 2 | 2 | no | — |
| 93 | C2×#6127 | — | 2 | 2 | no | — |
| 94 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 95 | C22×Dic26 | — | 2 | 2 | no | — |
| 96 | C22×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 97 | C2×C13×SD16 | C23 | 1 | 4 | yes | — |
| 98 | C2×C13×D8 | C23 | 1 | 4 | yes | — |
| 99 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 100 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 101 | C13×#127 | C23 | 1 | 1 | yes | characteristic |
| 102 | C13×#127 | C23 | 1 | 1 | yes | characteristic |
| 103 | C13×#124 | — | 2 | 1 | no | — |
| 104 | C13×#124 | C23 | 1 | 2 | yes | — |
| 105 | C13×#121 | — | 2 | 1 | no | — |
| 106 | C13×#121 | — | 2 | 1 | no | — |
| 107 | C13×#121 | — | 2 | 1 | no | — |
| 108 | C13×#121 | C23 | 1 | 2 | yes | — |
| 109 | C4×D4×C13 | — | 2 | 1 | no | — |
| 110 | C4×D4×C13 | — | 2 | 1 | no | — |
| 111 | C4×D4×C13 | — | 2 | 1 | no | — |
| 112 | C4×D4×C13 | C23 | 1 | 2 | yes | — |
| 113 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 114 | #88200 | — | 2 | 4 | no | — |
| 115 | #88200 | C23 | 1 | 4 | yes | — |
| 116 | C2×#6107 | C23 | 1 | 4 | yes | — |
| 117 | #88194 | — | 2 | 2 | no | — |
| 118 | #88194 | — | 2 | 2 | no | — |
| 119 | #88193 | — | 2 | 4 | no | — |
| 120 | #88193 | — | 2 | 4 | no | — |
| 121 | #88193 | — | 2 | 4 | no | — |
| 122 | #88193 | — | 2 | 4 | no | — |
| 123 | #88192 | — | 2 | 4 | no | — |
| 124 | #88192 | C23 | 1 | 4 | yes | — |
| 125 | #88192 | C23 | 1 | 4 | yes | — |
| 126 | D4×Dic13 | — | 2 | 2 | no | — |
| 127 | D4×Dic13 | — | 2 | 2 | no | — |
| 128 | C2×#6105 | C23 | 1 | 2 | yes | — |
| 129 | C2×#6105 | C23 | 1 | 2 | yes | — |
| 130 | C2×#6105 | C23 | 1 | 4 | yes | — |
| 131 | #88184 | — | 2 | 2 | no | — |
| 132 | #88184 | — | 2 | 2 | no | — |
| 133 | #88184 | D4 | 1 | 2 | yes | — |
| 134 | #88184 | D4 | 1 | 2 | yes | — |
| 135 | #88180 | — | 2 | 1 | no | — |
| 136 | C2×C4⋊Dic13 | — | 2 | 2 | no | — |
| 137 | C2×C4⋊Dic13 | C23 | 1 | 1 | yes | characteristic |
| 138 | #88178 | — | 2 | 1 | no | — |
| 139 | #88178 | — | 2 | 2 | no | — |
| 140 | #88178 | — | 2 | 2 | no | — |
| 141 | #88178 | C23 | 1 | 2 | yes | — |
| 142 | C2×#6101 | — | 2 | 1 | no | — |
| 143 | C2×C4×Dic13 | — | 2 | 1 | no | — |
| 144 | #88169 | — | 4 | 8 | no | — |
| 145 | #88166 | — | 4 | 8 | no | — |
| 146 | C2×Dic52 | C23 | 1 | 4 | yes | — |
| 147 | C2×#6094 | C23 | 1 | 4 | yes | — |
| 148 | C2×C8×D13 | C23 | 1 | 4 | yes | — |
| 149 | #88151 | C23 | 1 | 4 | yes | — |
| 150 | #88150 | — | 2 | 4 | no | — |
| 151 | #88147 | — | 2 | 2 | no | — |
| 152 | #88147 | — | 2 | 2 | no | — |
| 153 | C4⋊C4×D13 | C23 | 1 | 4 | yes | — |
| 154 | #88144 | — | 2 | 2 | no | — |
| 155 | #88142 | — | 2 | 2 | no | — |
| 156 | #88140 | — | 2 | 4 | no | — |
| 157 | #88139 | — | 2 | 4 | no | — |
| 158 | #88138 | — | 2 | 4 | no | — |
| 159 | #88138 | — | 2 | 4 | no | — |
| 160 | #88137 | — | 2 | 4 | no | — |
| 161 | #88135 | — | 2 | 4 | no | — |
| 162 | #88132 | — | 2 | 4 | no | — |
| 163 | #88132 | — | 2 | 4 | no | — |
| 164 | #88129 | D4 | 1 | 2 | yes | — |
| 165 | #88128 | D4 | 1 | 1 | yes | characteristic |
| 166 | C4×D52 | C23 | 1 | 2 | yes | — |
| 167 | C4×D52 | C23 | 1 | 2 | yes | — |
| 168 | #88124 | — | 2 | 1 | no | — |
| 169 | #88123 | D4 | 1 | 1 | yes | characteristic |
| 170 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 171 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 172 | C4×Dic26 | — | 2 | 1 | no | — |
| 173 | C4×Dic26 | — | 2 | 1 | no | — |
| 174 | C4×Dic26 | — | 2 | 1 | no | — |
| 175 | C4×Dic26 | C23 | 1 | 2 | yes | — |
| 176 | C4×Dic26 | C23 | 1 | 2 | yes | — |
| 177 | C4×Dic26 | C23 | 1 | 2 | yes | — |
| 178 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 179 | C13×#103 | C23 | 1 | 4 | yes | — |
| 180 | C13×#102 | C23 | 1 | 4 | yes | — |
| 181 | C13×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 182 | C13×#97 | C23 | 1 | 2 | yes | — |
| 183 | #88075 | C23 | 1 | 4 | yes | — |
| 184 | #88072 | C23 | 1 | 2 | yes | — |
| 185 | #88072 | C23 | 1 | 2 | yes | — |
| 186 | #88072 | C23 | 1 | 4 | yes | — |
| 187 | C22⋊#1055 | C23 | 1 | 2 | yes | — |
| 188 | #88060 | C23 | 1 | 4 | yes | — |
| 189 | #88060 | C23 | 1 | 4 | yes | — |
| 190 | #88057 | C23 | 1 | 4 | yes | — |
| 191 | #88056 | C23 | 1 | 4 | yes | — |
| 192 | #88056 | C23 | 1 | 4 | yes | — |
| 193 | #88050 | C23 | 1 | 2 | yes | — |
| 194 | #88050 | C23 | 1 | 2 | yes | — |
| 195 | #88048 | C23 | 1 | 2 | yes | — |
| 196 | #88048 | C23 | 1 | 2 | yes | — |
| 197 | C4⋊#1055 | C23 | 1 | 2 | yes | — |
| 198 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 199 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 200 | #61686 | — | 13 | 1 | no | maximal, Sylow |
| 201 | C13×#41 | — | 4 | 4 | no | — |
| 202 | C13×#41 | — | 8 | 2 | no | — |
| 203 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 204 | C2×Q8×C13 | C24 | 1 | 2 | yes | — |
| 205 | C2×D4×C13 | — | 2 | 2 | no | — |
| 206 | C2×D4×C13 | — | 2 | 2 | no | — |
| 207 | C2×D4×C13 | — | 2 | 1 | no | — |
| 208 | C2×D4×C13 | — | 2 | 1 | no | — |
| 209 | C2×D4×C13 | — | 2 | 1 | no | — |
| 210 | C2×D4×C13 | — | 2 | 1 | no | — |
| 211 | C2×D4×C13 | C24 | 1 | 2 | yes | — |
| 212 | C2×D4×C13 | C24 | 1 | 2 | yes | — |
| 213 | C22×C4×C13 | — | 2 | 2 | no | — |
| 214 | C22×C4×C13 | — | 2 | 2 | no | — |
| 215 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 216 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 217 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 218 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 219 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 220 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 221 | C2×C22⋊D13 | — | 2 | 4 | no | — |
| 222 | C2×C22⋊D13 | C2×D4 | 1 | 4 | yes | — |
| 223 | C22×Dic13 | — | 2 | 1 | no | — |
| 224 | C22×Dic13 | — | 2 | 1 | no | — |
| 225 | C22×Dic13 | — | 2 | 4 | no | — |
| 226 | C22×Dic13 | — | 2 | 4 | no | — |
| 227 | Q8×D13 | — | 2 | 8 | no | — |
| 228 | Q8×D13 | — | 4 | 4 | no | — |
| 229 | #6129 | — | 2 | 8 | no | — |
| 230 | #6129 | — | 4 | 4 | no | — |
| 231 | #6129 | — | 4 | 4 | no | — |
| 232 | #6129 | — | 4 | 4 | no | — |
| 233 | #6129 | — | 4 | 16 | no | — |
| 234 | #6127 | — | 4 | 8 | no | — |
| 235 | #6127 | — | 4 | 4 | no | — |
| 236 | #6127 | — | 8 | 4 | no | — |
| 237 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 238 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 239 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 240 | C2×C4×D13 | — | 2 | 4 | no | — |
| 241 | C2×C4×D13 | — | 2 | 4 | no | — |
| 242 | C2×C4×D13 | C24 | 1 | 4 | yes | — |
| 243 | C2×Dic26 | — | 2 | 1 | no | — |
| 244 | C2×Dic26 | — | 2 | 4 | no | — |
| 245 | C2×Dic26 | — | 2 | 1 | no | — |
| 246 | C2×Dic26 | — | 2 | 4 | no | — |
| 247 | C2×Dic26 | — | 4 | 8 | no | — |
| 248 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 249 | C2×Dic26 | C24 | 1 | 2 | yes | — |
| 250 | C2×Dic26 | C24 | 1 | 2 | yes | — |
| 251 | C13×SD16 | — | 4 | 4 | no | — |
| 252 | C13×D8 | — | 4 | 4 | no | — |
| 253 | C2×C8×C13 | C24 | 1 | 4 | yes | — |
| 254 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 255 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 256 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 257 | C13×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 258 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 259 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 260 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 261 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 262 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 263 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 265 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 266 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 267 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 268 | C22⋊Dic13 | — | 2 | 4 | no | — |
| 269 | #6107 | — | 4 | 4 | no | — |
| 270 | #6105 | — | 2 | 4 | no | — |
| 271 | #6105 | — | 2 | 4 | no | — |
| 272 | #6105 | — | 4 | 4 | no | — |
| 273 | #6103 | — | 2 | 4 | no | — |
| 274 | #6103 | — | 2 | 4 | no | — |
| 275 | #6103 | C2×D4 | 1 | 4 | yes | — |
| 276 | #6103 | C2×D4 | 1 | 4 | yes | — |
| 277 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 278 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 279 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 280 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 281 | C4⋊Dic13 | — | 2 | 4 | no | — |
| 282 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 283 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 284 | C4⋊Dic13 | C24 | 1 | 2 | yes | — |
| 285 | C4⋊Dic13 | C24 | 1 | 2 | yes | — |
| 286 | #6101 | — | 2 | 2 | no | — |
| 287 | #6101 | — | 2 | 2 | no | — |
| 288 | #6101 | — | 2 | 2 | no | — |
| 289 | #6101 | — | 2 | 2 | no | — |
| 290 | #6101 | — | 2 | 4 | no | — |
| 291 | #6101 | — | 2 | 4 | no | — |
| 292 | C4×Dic13 | — | 2 | 2 | no | — |
| 293 | C4×Dic13 | — | 2 | 2 | no | — |
| 294 | C4×Dic13 | — | 2 | 2 | no | — |
| 295 | C2×#1055 | C24 | 1 | 2 | yes | — |
| 296 | C2×#1055 | C24 | 1 | 2 | yes | — |
| 297 | Dic52 | — | 2 | 8 | no | — |
| 298 | #6094 | — | 4 | 4 | no | — |
| 299 | C8×D13 | — | 4 | 4 | no | — |
| 300 | #3548 | — | 13 | 1 | no | — |
| 301 | #3497 | — | 13 | 1 | no | — |
| 302 | #3332 | — | 13 | 2 | no | — |
| 303 | #3316 | — | 13 | 4 | no | — |
| 304 | #3298 | — | 13 | 2 | no | — |
| 305 | #3284 | — | 13 | 2 | no | — |
| 306 | #3276 | — | 13 | 2 | no | — |
| 307 | #3271 | — | 13 | 4 | no | — |
| 308 | #3214 | D13 | 1 | 1 | yes | characteristic, complemented |
| 309 | #3210 | — | 13 | 1 | no | — |
| 310 | #3204 | — | 13 | 4 | no | — |
| 311 | #3113 | — | 13 | 1 | no | — |
| 312 | #3103 | — | 13 | 1 | no | — |
| 313 | #3013 | — | 13 | 4 | no | — |
| 314 | #2981 | — | 13 | 1 | no | — |
| 315 | C23×C13 | — | 2 | 2 | no | — |
| 316 | C23×C13 | — | 2 | 2 | no | — |
| 317 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 318 | C22×D13 | C22×D4 | 1 | 4 | yes | — |
| 319 | Q8×C13 | — | 2 | 4 | no | — |
| 320 | Q8×C13 | — | 8 | 1 | no | — |
| 321 | D4×C13 | — | 2 | 2 | no | — |
| 322 | D4×C13 | — | 2 | 2 | no | — |
| 323 | D4×C13 | — | 2 | 4 | no | — |
| 324 | D4×C13 | — | 4 | 2 | no | — |
| 325 | D4×C13 | — | 4 | 4 | no | — |
| 326 | D4×C13 | — | 4 | 2 | no | — |
| 327 | D4×C13 | — | 8 | 1 | no | — |
| 328 | D4×C13 | — | 8 | 1 | no | — |
| 329 | D4×C13 | — | 8 | 2 | no | — |
| 330 | C2×C4×C13 | — | 2 | 2 | no | — |
| 331 | C2×C4×C13 | — | 2 | 2 | no | — |
| 332 | C2×C4×C13 | — | 2 | 2 | no | — |
| 333 | C2×C4×C13 | — | 2 | 2 | no | — |
| 334 | C2×C4×C13 | — | 4 | 1 | no | — |
| 335 | C2×C4×C13 | — | 4 | 4 | no | — |
| 336 | C2×C4×C13 | — | 4 | 4 | no | — |
| 337 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 338 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 339 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 340 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 341 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 342 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 343 | C22⋊D13 | — | 4 | 4 | no | — |
| 344 | C22⋊D13 | — | 4 | 8 | no | — |
| 345 | C22⋊D13 | — | 8 | 4 | no | — |
| 346 | C22⋊D13 | — | 8 | 4 | no | — |
| 347 | C22⋊D13 | — | 8 | 4 | no | — |
| 348 | C2×Dic13 | — | 2 | 4 | no | — |
| 349 | C2×Dic13 | — | 2 | 2 | no | — |
| 350 | C2×Dic13 | — | 2 | 2 | no | — |
| 351 | C2×Dic13 | — | 2 | 2 | no | — |
| 352 | C2×Dic13 | — | 2 | 2 | no | — |
| 353 | C2×Dic13 | — | 4 | 8 | no | — |
| 354 | C2×Dic13 | — | 8 | 4 | no | — |
| 355 | C2×Dic13 | — | 8 | 1 | no | — |
| 356 | C2×Dic13 | C22×D4 | 1 | 4 | yes | — |
| 357 | D52 | — | 2 | 4 | no | — |
| 358 | D52 | — | 4 | 2 | no | — |
| 359 | D52 | — | 4 | 2 | no | — |
| 360 | C4×D13 | — | 2 | 4 | no | — |
| 361 | C4×D13 | — | 2 | 4 | no | — |
| 362 | C4×D13 | — | 4 | 8 | no | — |
| 363 | C4×D13 | — | 8 | 4 | no | — |
| 364 | Dic26 | — | 2 | 4 | no | — |
| 365 | Dic26 | — | 2 | 2 | no | — |
| 366 | Dic26 | — | 2 | 4 | no | — |
| 367 | Dic26 | — | 4 | 2 | no | — |
| 368 | Dic26 | — | 4 | 8 | no | — |
| 369 | Dic26 | — | 4 | 2 | no | — |
| 370 | Dic26 | H(5,𝔽2) | 1 | 4 | yes | — |
| 371 | C8×C13 | — | 2 | 4 | no | — |
| 372 | #1055 | — | 2 | 2 | no | — |
| 373 | #1055 | — | 2 | 2 | no | — |
| 374 | C2×2−1+4 | — | 13 | 2 | no | — |
| 375 | C2×#137 | — | 13 | 4 | no | — |
| 376 | C2×#135 | — | 13 | 4 | no | — |
| 377 | #562 | — | 26 | 2 | no | — |
| 378 | #554 | — | 13 | 2 | no | — |
| 379 | #554 | — | 26 | 1 | no | — |
| 380 | #550 | — | 13 | 2 | no | — |
| 381 | #550 | — | 13 | 2 | no | — |
| 382 | #550 | — | 26 | 1 | no | — |
| 383 | #550 | — | 26 | 1 | no | — |
| 384 | D4×Q8 | — | 13 | 2 | no | — |
| 385 | D4×Q8 | — | 26 | 1 | no | — |
| 386 | #548 | — | 13 | 4 | no | — |
| 387 | #548 | — | 26 | 2 | no | — |
| 388 | #547 | — | 13 | 2 | no | — |
| 389 | #547 | — | 13 | 2 | no | — |
| 390 | #540 | — | 26 | 2 | no | — |
| 391 | #537 | — | 13 | 2 | no | — |
| 392 | #537 | — | 13 | 4 | no | — |
| 393 | #537 | — | 26 | 2 | no | — |
| 394 | #537 | — | 26 | 2 | no | — |
| 395 | #533 | — | 13 | 1 | no | — |
| 396 | #532 | — | 13 | 1 | no | — |
| 397 | #532 | — | 26 | 2 | no | — |
| 398 | #532 | C2×D13 | 1 | 1 | yes | characteristic |
| 399 | #532 | C2×D13 | 1 | 1 | yes | characteristic |
| 400 | C2×C4×Q8 | — | 13 | 1 | no | — |
| 401 | #496 | C2×D13 | 1 | 2 | yes | — |
| 402 | #494 | — | 13 | 1 | no | — |
| 403 | #492 | — | 13 | 1 | no | — |
| 404 | #489 | C2×D13 | 1 | 2 | yes | — |
| 405 | #487 | — | 13 | 1 | no | — |
| 406 | #486 | — | 13 | 1 | no | — |
| 407 | #483 | — | 13 | 4 | no | — |
| 408 | #483 | — | 13 | 2 | no | — |
| 409 | #481 | — | 13 | 2 | no | — |
| 410 | #481 | — | 13 | 4 | no | — |
| 411 | #475 | — | 13 | 2 | no | — |
| 412 | #475 | — | 13 | 2 | no | — |
| 413 | #470 | — | 13 | 4 | no | — |
| 414 | #469 | — | 13 | 4 | no | — |
| 415 | #465 | — | 13 | 4 | no | — |
| 416 | #465 | — | 13 | 4 | no | — |
| 417 | #464 | — | 13 | 4 | no | — |
| 418 | #462 | — | 13 | 2 | no | — |
| 419 | #461 | C2×D13 | 1 | 2 | yes | — |
| 420 | #460 | — | 13 | 2 | no | — |
| 421 | #459 | C2×D13 | 1 | 2 | yes | — |
| 422 | #452 | — | 13 | 4 | no | — |
| 423 | #452 | — | 13 | 4 | no | — |
| 424 | #452 | — | 13 | 4 | no | — |
| 425 | #451 | — | 13 | 4 | no | — |
| 426 | #451 | — | 13 | 2 | no | — |
| 427 | #449 | — | 13 | 4 | no | — |
| 428 | #449 | — | 13 | 4 | no | — |
| 429 | #449 | C2×D13 | 1 | 4 | yes | — |
| 430 | #448 | — | 13 | 4 | no | — |
| 431 | #448 | — | 13 | 2 | no | — |
| 432 | #441 | — | 13 | 4 | no | — |
| 433 | C4×SD16 | — | 13 | 2 | no | — |
| 434 | C4×SD16 | — | 13 | 2 | no | — |
| 435 | #436 | — | 13 | 2 | no | — |
| 436 | #435 | — | 13 | 4 | no | — |
| 437 | C8×D4 | — | 13 | 2 | no | — |
| 438 | #432 | C2×D13 | 1 | 1 | yes | characteristic |
| 439 | #431 | — | 13 | 1 | no | — |
| 440 | #417 | — | 13 | 4 | no | — |
| 441 | C2×#103 | — | 13 | 4 | no | — |
| 442 | #408 | — | 13 | 4 | no | — |
| 443 | C22×C13 | — | 2 | 1 | no | — |
| 444 | C22×C13 | — | 2 | 1 | no | — |
| 445 | C22×C13 | — | 2 | 1 | no | — |
| 446 | C22×C13 | — | 4 | 2 | no | — |
| 447 | C22×C13 | — | 4 | 2 | no | — |
| 448 | C22×C13 | — | 4 | 2 | no | — |
| 449 | C22×C13 | — | 4 | 2 | no | — |
| 450 | C22×C13 | — | 4 | 2 | no | — |
| 451 | C22×C13 | — | 4 | 2 | no | — |
| 452 | C22×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 453 | C2×D13 | — | 2 | 4 | no | — |
| 454 | C2×D13 | — | 2 | 4 | no | — |
| 455 | C2×D13 | — | 2 | 4 | no | — |
| 456 | C4×C13 | — | 2 | 1 | no | — |
| 457 | C4×C13 | — | 2 | 1 | no | — |
| 458 | C4×C13 | — | 2 | 1 | no | — |
| 459 | C4×C13 | — | 2 | 1 | no | — |
| 460 | C4×C13 | — | 4 | 2 | no | — |
| 461 | C4×C13 | — | 4 | 2 | no | — |
| 462 | C4×C13 | #577 | 1 | 2 | yes | — |
| 463 | C4×C13 | C2×H(5,𝔽2) | 1 | 2 | yes | — |
| 464 | Dic13 | — | 2 | 4 | no | — |
| 465 | Dic13 | — | 2 | 4 | no | — |
| 466 | Dic13 | — | 4 | 2 | no | — |
| 467 | Dic13 | — | 4 | 2 | no | — |
| 468 | Dic13 | — | 4 | 2 | no | — |
| 469 | 2−1+4 | — | 52 | 8 | no | — |
| 470 | C2×#41 | — | 2 | 1 | no | — |
| 471 | C2×#41 | — | 13 | 2 | no | — |
| 472 | C2×#41 | — | 13 | 4 | no | — |
| 473 | C2×#41 | — | 13 | 4 | no | — |
| 474 | C2×#41 | — | 26 | 2 | no | — |
| 475 | C2×#41 | — | 26 | 2 | no | — |
| 476 | C2×#41 | — | 26 | 4 | no | — |
| 477 | C2×#41 | C22×D13 | 1 | 2 | yes | — |
| 478 | C22×Q8 | — | 13 | 4 | no | — |
| 479 | C22×Q8 | — | 13 | 1 | no | — |
| 480 | C22×Q8 | — | 26 | 2 | no | — |
| 481 | #137 | — | 52 | 8 | no | — |
| 482 | #135 | — | 52 | 8 | no | — |
| 483 | C2×Q16 | — | 13 | 4 | no | — |
| 484 | C2×Q16 | — | 13 | 4 | no | — |
| 485 | C2×SD16 | — | 13 | 2 | no | — |
| 486 | C2×SD16 | — | 13 | 2 | no | — |
| 487 | C2×SD16 | — | 13 | 4 | no | — |
| 488 | C2×SD16 | C22×D13 | 1 | 4 | yes | — |
| 489 | C2×D8 | C22×D13 | 1 | 4 | yes | — |
| 490 | C2×M16 | — | 13 | 4 | no | — |
| 491 | C22×C8 | — | 13 | 4 | no | — |
| 492 | C4⋊Q8 | — | 13 | 1 | no | — |
| 493 | C4⋊Q8 | — | 13 | 1 | no | — |
| 494 | C4⋊Q8 | — | 13 | 1 | no | — |
| 495 | C4⋊Q8 | — | 26 | 2 | no | — |
| 496 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 497 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 498 | #127 | — | 13 | 1 | no | — |
| 499 | #127 | — | 26 | 2 | no | — |
| 500 | #127 | — | 26 | 2 | no | — |
| 501 | #127 | C22×D13 | 1 | 1 | yes | characteristic |
| 502 | #127 | C22×D13 | 1 | 1 | yes | characteristic |
| 503 | #125 | — | 26 | 2 | no | — |
| 504 | #125 | — | 26 | 1 | no | — |
| 505 | #124 | — | 2 | 1 | no | — |
| 506 | #124 | — | 13 | 2 | no | — |
| 507 | #124 | — | 26 | 4 | no | — |
| 508 | #124 | C22×D13 | 1 | 2 | yes | — |
| 509 | #123 | — | 26 | 4 | no | — |
| 510 | #123 | — | 26 | 4 | no | — |
| 511 | C22⋊Q8 | — | 13 | 4 | no | — |
| 512 | C22⋊Q8 | — | 13 | 2 | no | — |
| 513 | C22⋊Q8 | — | 13 | 4 | no | — |
| 514 | C22⋊Q8 | — | 26 | 4 | no | — |
| 515 | C22⋊Q8 | — | 26 | 4 | no | — |
| 516 | C22⋊Q8 | — | 26 | 4 | no | — |
| 517 | C22⋊Q8 | — | 26 | 4 | no | — |
| 518 | C22⋊Q8 | — | 26 | 2 | no | — |
| 519 | C22⋊Q8 | — | 26 | 2 | no | — |
| 520 | C22⋊Q8 | — | 26 | 1 | no | — |
| 521 | #121 | — | 2 | 1 | no | — |
| 522 | #121 | — | 2 | 1 | no | — |
| 523 | #121 | — | 2 | 1 | no | — |
| 524 | #121 | — | 13 | 2 | no | — |
| 525 | #121 | — | 13 | 2 | no | — |
| 526 | #121 | — | 13 | 4 | no | — |
| 527 | #121 | — | 13 | 4 | no | — |
| 528 | #121 | — | 26 | 4 | no | — |
| 529 | #121 | — | 26 | 4 | no | — |
| 530 | #121 | — | 26 | 4 | no | — |
| 531 | #121 | — | 26 | 4 | no | — |
| 532 | #121 | — | 26 | 2 | no | — |
| 533 | #121 | — | 26 | 2 | no | — |
| 534 | #121 | — | 26 | 4 | no | — |
| 535 | #121 | — | 26 | 4 | no | — |
| 536 | #121 | — | 26 | 4 | no | — |
| 537 | #121 | C22×D13 | 1 | 2 | yes | — |
| 538 | C4×Q8 | — | 13 | 2 | no | — |
| 539 | C4×Q8 | — | 13 | 2 | no | — |
| 540 | C4×Q8 | — | 13 | 2 | no | — |
| 541 | C4×Q8 | — | 26 | 1 | no | — |
| 542 | C4×Q8 | — | 26 | 1 | no | — |
| 543 | C4×Q8 | — | 26 | 1 | no | — |
| 544 | C4×D4 | — | 2 | 1 | no | — |
| 545 | C4×D4 | — | 2 | 1 | no | — |
| 546 | C4×D4 | — | 2 | 1 | no | — |
| 547 | C4×D4 | — | 13 | 2 | no | — |
| 548 | C4×D4 | — | 13 | 2 | no | — |
| 549 | C4×D4 | — | 26 | 4 | no | — |
| 550 | C4×D4 | — | 26 | 2 | no | — |
| 551 | C4×D4 | — | 26 | 2 | no | — |
| 552 | C4×D4 | — | 26 | 2 | no | — |
| 553 | C4×D4 | — | 26 | 2 | no | — |
| 554 | C4×D4 | C22×D13 | 1 | 2 | yes | — |
| 555 | #117 | — | 26 | 1 | no | — |
| 556 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 557 | C2×C4⋊C4 | — | 13 | 4 | no | — |
| 558 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 559 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 560 | C2×C42 | — | 26 | 1 | no | — |
| 561 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 562 | #106 | — | 13 | 4 | no | — |
| 563 | #106 | — | 13 | 2 | no | — |
| 564 | #106 | — | 13 | 2 | no | — |
| 565 | C4⋊C8 | — | 13 | 2 | no | — |
| 566 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 567 | #103 | — | 13 | 4 | no | — |
| 568 | #103 | — | 13 | 4 | no | — |
| 569 | #103 | — | 13 | 4 | no | — |
| 570 | #103 | — | 13 | 2 | no | — |
| 571 | #103 | — | 13 | 2 | no | — |
| 572 | #103 | C22×D13 | 1 | 4 | yes | — |
| 573 | #102 | — | 13 | 4 | no | — |
| 574 | #102 | — | 13 | 2 | no | — |
| 575 | #102 | — | 13 | 2 | no | — |
| 576 | #102 | C22×D13 | 1 | 4 | yes | — |
| 577 | C22⋊C8 | — | 13 | 2 | no | — |
| 578 | C22⋊C8 | — | 13 | 4 | no | — |
| 579 | C22⋊C8 | — | 13 | 4 | no | — |
| 580 | C22⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 581 | #97 | C22×D13 | 1 | 2 | yes | — |
| 582 | C4×C8 | — | 13 | 1 | no | — |
| 583 | C4×C8 | — | 13 | 1 | no | — |
| 584 | C2×C13 | — | 4 | 1 | no | — |
| 585 | C2×C13 | — | 8 | 2 | no | — |
| 586 | C2×C13 | — | 8 | 2 | no | — |
| 587 | C2×C13 | #3484 | 1 | 1 | yes | characteristic |
| 588 | C2×C13 | C2×#577 | 1 | 1 | yes | characteristic |
| 589 | C2×C13 | #3586 | 1 | 1 | yes | characteristic |
| 590 | D13 | — | 4 | 4 | no | — |
| 591 | #41 | — | 4 | 4 | no | — |
| 592 | #41 | — | 8 | 2 | no | — |
| 593 | #41 | — | 26 | 8 | no | — |
| 594 | #41 | — | 52 | 4 | no | — |
| 595 | #41 | — | 52 | 8 | no | — |
| 596 | #41 | — | 52 | 4 | no | — |
| 597 | #41 | — | 52 | 16 | no | — |
| 598 | #41 | — | 52 | 4 | no | — |
| 599 | #41 | — | 52 | 4 | no | — |
| 600 | #41 | — | 104 | 4 | no | — |
| 601 | C2×Q8 | — | 2 | 1 | no | — |
| 602 | C2×Q8 | — | 13 | 2 | no | — |
| 603 | C2×Q8 | — | 13 | 2 | no | — |
| 604 | C2×Q8 | — | 13 | 2 | no | — |
| 605 | C2×Q8 | — | 26 | 4 | no | — |
| 606 | C2×Q8 | — | 26 | 4 | no | — |
| 607 | C2×Q8 | — | 26 | 1 | no | — |
| 608 | C2×Q8 | — | 26 | 1 | no | — |
| 609 | C2×Q8 | — | 26 | 8 | no | — |
| 610 | C2×Q8 | — | 52 | 8 | no | — |
| 611 | C2×Q8 | — | 52 | 4 | no | — |
| 612 | C2×Q8 | C23×D13 | 1 | 2 | yes | — |
| 613 | C2×D4 | — | 2 | 2 | no | — |
| 614 | C2×D4 | — | 2 | 2 | no | — |
| 615 | C2×D4 | — | 2 | 1 | no | — |
| 616 | C2×D4 | — | 2 | 1 | no | — |
| 617 | C2×D4 | — | 2 | 1 | no | — |
| 618 | C2×D4 | — | 2 | 1 | no | — |
| 619 | C2×D4 | — | 13 | 4 | no | — |
| 620 | C2×D4 | — | 13 | 2 | no | — |
| 621 | C2×D4 | — | 13 | 2 | no | — |
| 622 | C2×D4 | — | 13 | 2 | no | — |
| 623 | C2×D4 | — | 26 | 4 | no | — |
| 624 | C2×D4 | — | 26 | 4 | no | — |
| 625 | C2×D4 | — | 26 | 4 | no | — |
| 626 | C2×D4 | — | 26 | 4 | no | — |
| 627 | C2×D4 | C23×D13 | 1 | 2 | yes | — |
| 628 | C2×D4 | C23×D13 | 1 | 2 | yes | — |
| 629 | C22×C4 | — | 2 | 2 | no | — |
| 630 | C22×C4 | — | 2 | 2 | no | — |
| 631 | C22×C4 | — | 13 | 4 | no | — |
| 632 | C22×C4 | — | 26 | 4 | no | — |
| 633 | C22×C4 | — | 26 | 4 | no | — |
| 634 | C22×C4 | — | 26 | 4 | no | — |
| 635 | C22×C4 | — | 26 | 4 | no | — |
| 636 | C22×C4 | — | 26 | 1 | no | — |
| 637 | C22×C4 | — | 26 | 1 | no | — |
| 638 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 639 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 640 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 641 | Q16 | — | 26 | 8 | no | — |
| 642 | Q16 | — | 52 | 4 | no | — |
| 643 | SD16 | — | 4 | 4 | no | — |
| 644 | SD16 | — | 26 | 4 | no | — |
| 645 | SD16 | — | 26 | 4 | no | — |
| 646 | SD16 | — | 52 | 4 | no | — |
| 647 | D8 | — | 4 | 4 | no | — |
| 648 | M16 | — | 52 | 4 | no | — |
| 649 | C2×C8 | — | 13 | 2 | no | — |
| 650 | C2×C8 | — | 13 | 2 | no | — |
| 651 | C2×C8 | — | 52 | 4 | no | — |
| 652 | C2×C8 | C23×D13 | 1 | 4 | yes | — |
| 653 | C4⋊C4 | — | 2 | 1 | no | — |
| 654 | C4⋊C4 | — | 2 | 1 | no | — |
| 655 | C4⋊C4 | — | 2 | 1 | no | — |
| 656 | C4⋊C4 | — | 13 | 2 | no | — |
| 657 | C4⋊C4 | — | 13 | 2 | no | — |
| 658 | C4⋊C4 | — | 13 | 2 | no | — |
| 659 | C4⋊C4 | — | 13 | 2 | no | — |
| 660 | C4⋊C4 | — | 26 | 4 | no | — |
| 661 | C4⋊C4 | — | 26 | 4 | no | — |
| 662 | C4⋊C4 | — | 26 | 4 | no | — |
| 663 | C4⋊C4 | — | 26 | 1 | no | — |
| 664 | C4⋊C4 | — | 26 | 1 | no | — |
| 665 | C4⋊C4 | — | 26 | 2 | no | — |
| 666 | C4⋊C4 | — | 26 | 2 | no | — |
| 667 | C4⋊C4 | — | 26 | 1 | no | — |
| 668 | C4⋊C4 | — | 26 | 1 | no | — |
| 669 | C4⋊C4 | — | 26 | 2 | no | — |
| 670 | C4⋊C4 | — | 26 | 2 | no | — |
| 671 | C4⋊C4 | C23×D13 | 1 | 2 | yes | — |
| 672 | C22⋊C4 | — | 2 | 2 | no | — |
| 673 | C22⋊C4 | — | 2 | 2 | no | — |
| 674 | C22⋊C4 | — | 2 | 2 | no | — |
| 675 | C22⋊C4 | — | 2 | 2 | no | — |
| 676 | C22⋊C4 | — | 13 | 4 | no | — |
| 677 | C22⋊C4 | — | 13 | 4 | no | — |
| 678 | C22⋊C4 | — | 26 | 4 | no | — |
| 679 | C22⋊C4 | — | 26 | 4 | no | — |
| 680 | C22⋊C4 | — | 26 | 4 | no | — |
| 681 | C22⋊C4 | — | 26 | 4 | no | — |
| 682 | C22⋊C4 | — | 26 | 2 | no | — |
| 683 | C42 | — | 26 | 2 | no | — |
| 684 | C42 | — | 26 | 2 | no | — |
| 685 | C42 | — | 26 | 2 | no | — |
| 686 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 687 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 688 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 689 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 690 | C13 | #61686 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 691 | C23 | — | 2 | 2 | no | — |
| 692 | C23 | — | 2 | 2 | no | — |
| 693 | C23 | — | 13 | 4 | no | — |
| 694 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 695 | Q8 | — | 2 | 4 | no | — |
| 696 | Q8 | — | 8 | 1 | no | — |
| 697 | Q8 | — | 13 | 4 | no | — |
| 698 | Q8 | — | 26 | 4 | no | — |
| 699 | Q8 | — | 26 | 2 | no | — |
| 700 | Q8 | — | 26 | 4 | no | — |
| 701 | Q8 | — | 52 | 2 | no | — |
| 702 | Q8 | — | 52 | 8 | no | — |
| 703 | Q8 | — | 52 | 2 | no | — |
| 704 | D4 | — | 2 | 2 | no | — |
| 705 | D4 | — | 2 | 4 | no | — |
| 706 | D4 | — | 2 | 2 | no | — |
| 707 | D4 | — | 4 | 2 | no | — |
| 708 | D4 | — | 4 | 4 | no | — |
| 709 | D4 | — | 4 | 2 | no | — |
| 710 | D4 | — | 8 | 1 | no | — |
| 711 | D4 | — | 8 | 1 | no | — |
| 712 | D4 | — | 8 | 2 | no | — |
| 713 | D4 | — | 26 | 4 | no | — |
| 714 | D4 | — | 52 | 2 | no | — |
| 715 | D4 | — | 52 | 2 | no | — |
| 716 | D4 | — | 52 | 4 | no | — |
| 717 | D4 | — | 52 | 8 | no | — |
| 718 | D4 | — | 104 | 4 | no | — |
| 719 | D4 | — | 104 | 4 | no | — |
| 720 | D4 | — | 104 | 4 | no | — |
| 721 | C2×C4 | — | 2 | 2 | no | — |
| 722 | C2×C4 | — | 2 | 2 | no | — |
| 723 | C2×C4 | — | 2 | 2 | no | — |
| 724 | C2×C4 | — | 2 | 2 | no | — |
| 725 | C2×C4 | — | 4 | 1 | no | — |
| 726 | C2×C4 | — | 4 | 4 | no | — |
| 727 | C2×C4 | — | 4 | 4 | no | — |
| 728 | C2×C4 | — | 13 | 4 | no | — |
| 729 | C2×C4 | — | 26 | 4 | no | — |
| 730 | C2×C4 | — | 26 | 2 | no | — |
| 731 | C2×C4 | — | 26 | 4 | no | — |
| 732 | C2×C4 | — | 26 | 4 | no | — |
| 733 | C2×C4 | — | 26 | 2 | no | — |
| 734 | C2×C4 | — | 26 | 2 | no | — |
| 735 | C2×C4 | — | 26 | 2 | no | — |
| 736 | C2×C4 | — | 52 | 8 | no | — |
| 737 | C2×C4 | — | 52 | 8 | no | — |
| 738 | C2×C4 | — | 104 | 4 | no | — |
| 739 | C2×C4 | — | 104 | 4 | no | — |
| 740 | C2×C4 | — | 104 | 1 | no | — |
| 741 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 742 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 743 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 744 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 745 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 746 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 747 | C8 | — | 2 | 4 | no | — |
| 748 | C8 | — | 26 | 2 | no | — |
| 749 | C8 | — | 26 | 2 | no | — |
| 750 | C22 | — | 2 | 1 | no | — |
| 751 | C22 | — | 2 | 1 | no | — |
| 752 | C22 | — | 2 | 1 | no | — |
| 753 | C22 | — | 4 | 2 | no | — |
| 754 | C22 | — | 4 | 2 | no | — |
| 755 | C22 | — | 4 | 2 | no | — |
| 756 | C22 | — | 4 | 2 | no | — |
| 757 | C22 | — | 4 | 2 | no | — |
| 758 | C22 | — | 4 | 2 | no | — |
| 759 | C22 | — | 26 | 4 | no | — |
| 760 | C22 | — | 26 | 4 | no | — |
| 761 | C22 | — | 26 | 4 | no | — |
| 762 | C22 | C22×D4×D13 | 1 | 1 | yes | characteristic |
| 763 | C4 | — | 2 | 1 | no | — |
| 764 | C4 | — | 2 | 1 | no | — |
| 765 | C4 | — | 2 | 1 | no | — |
| 766 | C4 | — | 2 | 1 | no | — |
| 767 | C4 | — | 4 | 2 | no | — |
| 768 | C4 | — | 4 | 2 | no | — |
| 769 | C4 | — | 26 | 4 | no | — |
| 770 | C4 | — | 26 | 4 | no | — |
| 771 | C4 | — | 52 | 2 | no | — |
| 772 | C4 | — | 52 | 2 | no | — |
| 773 | C4 | — | 52 | 2 | no | — |
| 774 | C4 | #11719480 | 1 | 2 | yes | — |
| 775 | C4 | D13×H(5,𝔽2) | 1 | 2 | yes | — |
| 776 | C2 | — | 4 | 1 | no | — |
| 777 | C2 | — | 8 | 2 | no | — |
| 778 | C2 | — | 8 | 2 | no | — |
| 779 | C2 | — | 52 | 4 | no | — |
| 780 | C2 | #13128470 | 1 | 1 | yes | characteristic |
| 781 | C2 | C2×#11719480 | 1 | 1 | yes | characteristic |
| 782 | C2 | #13129620 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13129234 | C2 | semidirect |
| 2. #13128602 | C2 | semidirect |
| 3. #13127166 | C2 | semidirect |
| 4. #13126946 | C2 | semidirect |
| 5. #13126704 | C2 | semidirect |
| 6. #13126569 | C2 | semidirect |
| 7. #13126485 | C2 | semidirect |
| 8. #13126420 | C2 | semidirect |
| 9. #13125792 | C2 | semidirect |
| 10. #13125745 | C2 | semidirect |
| 11. #13124967 | C2 | semidirect |
| 12. #13124863 | C2 | semidirect |
| 13. #13124149 | C2 | semidirect |
| 14. #13123914 | C2 | semidirect |
| 15. C13×#3214 | C2 | semidirect |
| 308. #3214 | D13 | semidirect |
| 690. C13 | #61686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129234 | 2 |
| #13128602 | 2 |
| #13127166 | 2 |
| #13126946 | 2 |
| #13126704 | 2 |
| #13126569 | 2 |
| #13126485 | 2 |
| #13126420 | 2 |
| #13125792 | 2 |
| #13125745 | 2 |
| #13124967 | 2 |
| #13124863 | 2 |
| #13124149 | 2 |
| #13123914 | 2 |
| C13×#3214 | 2 |
| #61686 | 13 |