Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1022 conjugacy classes of subgroups.
The subgroup lattice has 786 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13128463 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13125772 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13124990 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13124294 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13114061 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13114035 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13114027 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13113920 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13113914 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13113903 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13113903 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13113530 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13113269 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #13113222 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#1645 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | Q82×C13 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#88173 | — | 2 | 1 | no | — |
| 18 | #11719439 | — | 2 | 2 | no | — |
| 19 | #11719439 | — | 2 | 1 | no | — |
| 20 | #11719439 | — | 2 | 1 | no | — |
| 21 | #11719439 | C22 | 1 | 1 | yes | characteristic |
| 22 | #11719430 | — | 2 | 2 | no | — |
| 23 | #11719430 | — | 2 | 1 | no | — |
| 24 | #11719430 | — | 2 | 1 | no | — |
| 25 | #11719430 | C22 | 1 | 1 | yes | characteristic |
| 26 | #11719430 | C22 | 1 | 1 | yes | characteristic |
| 27 | #11719282 | — | 2 | 1 | no | — |
| 28 | #11719282 | — | 2 | 1 | no | — |
| 29 | #11719282 | C22 | 1 | 1 | yes | characteristic |
| 30 | #11719282 | C22 | 1 | 1 | yes | characteristic |
| 31 | C4×#6131 | — | 2 | 1 | no | — |
| 32 | C4×#6131 | — | 2 | 1 | no | — |
| 33 | C4×#6131 | C22 | 1 | 1 | yes | characteristic |
| 34 | C4×#6131 | C22 | 1 | 1 | yes | characteristic |
| 35 | C13×#487 | C22 | 1 | 1 | yes | characteristic |
| 36 | C13×#475 | C22 | 1 | 1 | yes | characteristic |
| 37 | C13×#462 | C22 | 1 | 1 | yes | characteristic |
| 38 | #11718846 | — | 2 | 1 | no | — |
| 39 | #11718749 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11718748 | C22 | 1 | 1 | yes | characteristic |
| 41 | #11718746 | C22 | 1 | 1 | yes | characteristic |
| 42 | #11718744 | C22 | 1 | 1 | yes | characteristic |
| 43 | #11718688 | C22 | 1 | 1 | yes | characteristic |
| 44 | #11718688 | C22 | 1 | 1 | yes | characteristic |
| 45 | #11718530 | — | 2 | 1 | no | — |
| 46 | #11718527 | — | 2 | 1 | no | — |
| 47 | #11718504 | C22 | 1 | 1 | yes | characteristic |
| 48 | #11718504 | C22 | 1 | 1 | yes | characteristic |
| 49 | #11718496 | C22 | 1 | 1 | yes | characteristic |
| 50 | D13×C4⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 51 | #11718480 | — | 2 | 2 | no | — |
| 52 | #11718480 | — | 2 | 1 | no | — |
| 53 | #11718478 | — | 2 | 1 | no | — |
| 54 | #11718472 | — | 2 | 1 | no | — |
| 55 | #11718472 | — | 2 | 2 | no | — |
| 56 | #11718465 | — | 2 | 1 | no | — |
| 57 | #11718356 | C22 | 1 | 1 | yes | characteristic |
| 58 | #11718346 | C22 | 1 | 1 | yes | characteristic |
| 59 | C13×#333 | C22 | 1 | 1 | yes | characteristic |
| 60 | C13×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 61 | C13×Q8⋊C8 | C22 | 1 | 1 | yes | characteristic |
| 62 | #11718138 | C22 | 1 | 1 | yes | characteristic |
| 63 | Q8⋊#1055 | C22 | 1 | 1 | yes | characteristic |
| 64 | Q8⋊#1055 | C22 | 1 | 1 | yes | characteristic |
| 65 | #11718077 | C22 | 1 | 1 | yes | characteristic |
| 66 | #11718077 | C22 | 1 | 1 | yes | characteristic |
| 67 | #11718075 | C22 | 1 | 1 | yes | characteristic |
| 68 | #11718075 | C22 | 1 | 1 | yes | characteristic |
| 69 | #11718051 | C22 | 1 | 1 | yes | characteristic |
| 70 | #11718051 | C22 | 1 | 1 | yes | characteristic |
| 71 | C2×#6131 | — | 2 | 1 | no | — |
| 72 | C2×#6131 | — | 2 | 1 | no | — |
| 73 | C2×#6131 | — | 2 | 2 | no | — |
| 74 | C2×#6131 | — | 2 | 1 | no | — |
| 75 | C2×#6131 | D4 | 1 | 1 | yes | characteristic |
| 76 | C2×#6131 | D4 | 1 | 1 | yes | characteristic |
| 77 | C2×#6131 | D4 | 1 | 2 | yes | — |
| 78 | C2×C13×Q16 | — | 2 | 1 | no | — |
| 79 | C13×C4⋊Q8 | — | 2 | 2 | no | — |
| 80 | C13×C4⋊Q8 | — | 2 | 1 | no | — |
| 81 | C13×C4⋊Q8 | — | 2 | 1 | no | — |
| 82 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 83 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 84 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 85 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 86 | C4×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 87 | C4×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 88 | #88201 | — | 2 | 2 | no | — |
| 89 | #88201 | — | 2 | 2 | no | — |
| 90 | #88201 | — | 2 | 2 | no | — |
| 91 | #88201 | — | 2 | 2 | no | — |
| 92 | #88201 | — | 2 | 1 | no | — |
| 93 | #88201 | D4 | 1 | 2 | yes | — |
| 94 | Q8×Dic13 | D4 | 1 | 1 | yes | characteristic |
| 95 | Q8×Dic13 | D4 | 1 | 1 | yes | characteristic |
| 96 | C2×#6106 | — | 2 | 1 | no | — |
| 97 | C2×#6106 | — | 2 | 1 | no | — |
| 98 | C2×#6106 | — | 2 | 1 | no | — |
| 99 | C2×#6106 | — | 2 | 2 | no | — |
| 100 | #88173 | — | 4 | 4 | no | — |
| 101 | C2×D104 | — | 2 | 1 | no | — |
| 102 | C2×D104 | — | 2 | 1 | no | — |
| 103 | C2×D104 | — | 2 | 2 | no | — |
| 104 | C2×C8×D13 | — | 2 | 1 | no | — |
| 105 | #88149 | — | 2 | 2 | no | — |
| 106 | #88149 | — | 2 | 2 | no | — |
| 107 | #88149 | — | 2 | 2 | no | — |
| 108 | #88149 | — | 2 | 2 | no | — |
| 109 | #88149 | — | 2 | 2 | no | — |
| 110 | #88149 | — | 2 | 2 | no | — |
| 111 | #88149 | — | 2 | 1 | no | — |
| 112 | #88149 | — | 2 | 1 | no | — |
| 113 | #88149 | — | 2 | 1 | no | — |
| 114 | #88149 | — | 2 | 1 | no | — |
| 115 | #88149 | — | 2 | 1 | no | — |
| 116 | #88149 | — | 2 | 1 | no | — |
| 117 | #88149 | — | 2 | 1 | no | — |
| 118 | #88149 | — | 2 | 1 | no | — |
| 119 | #88147 | — | 2 | 2 | no | — |
| 120 | #88147 | — | 2 | 2 | no | — |
| 121 | #88147 | — | 2 | 1 | no | — |
| 122 | #88147 | — | 2 | 1 | no | — |
| 123 | #88147 | — | 2 | 1 | no | — |
| 124 | #88147 | — | 2 | 1 | no | — |
| 125 | #88147 | — | 2 | 1 | no | — |
| 126 | #88147 | — | 2 | 1 | no | — |
| 127 | #88147 | D4 | 1 | 1 | yes | characteristic |
| 128 | #88147 | D4 | 1 | 1 | yes | characteristic |
| 129 | #88146 | — | 2 | 2 | no | — |
| 130 | #88146 | — | 2 | 2 | no | — |
| 131 | #88146 | — | 2 | 1 | no | — |
| 132 | #88146 | — | 2 | 1 | no | — |
| 133 | #88146 | — | 2 | 1 | no | — |
| 134 | #88146 | — | 2 | 1 | no | — |
| 135 | #88146 | D4 | 1 | 1 | yes | characteristic |
| 136 | #88146 | D4 | 1 | 1 | yes | characteristic |
| 137 | #88128 | — | 2 | 2 | no | — |
| 138 | #88128 | — | 2 | 1 | no | — |
| 139 | #88128 | — | 2 | 1 | no | — |
| 140 | #88128 | C23 | 1 | 1 | yes | characteristic |
| 141 | #88128 | C23 | 1 | 1 | yes | characteristic |
| 142 | C4×D52 | — | 2 | 2 | no | — |
| 143 | C4×D52 | — | 2 | 2 | no | — |
| 144 | C4×D52 | — | 2 | 1 | no | — |
| 145 | C4×D52 | — | 2 | 1 | no | — |
| 146 | C4×D52 | — | 2 | 1 | no | — |
| 147 | C4×D52 | — | 2 | 1 | no | — |
| 148 | C4×D52 | C23 | 1 | 1 | yes | characteristic |
| 149 | C4×D52 | C23 | 1 | 1 | yes | characteristic |
| 150 | C42×D13 | — | 2 | 2 | no | — |
| 151 | C42×D13 | — | 2 | 1 | no | — |
| 152 | C42×D13 | — | 2 | 1 | no | — |
| 153 | C42×D13 | C23 | 1 | 1 | yes | characteristic |
| 154 | C13×#106 | — | 2 | 1 | no | — |
| 155 | C13×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 156 | C13×C4⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 157 | C13×#103 | — | 2 | 1 | no | — |
| 158 | C13×#103 | — | 2 | 2 | no | — |
| 159 | C13×#103 | — | 2 | 1 | no | — |
| 160 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 161 | #88075 | — | 2 | 1 | no | — |
| 162 | #88061 | — | 2 | 1 | no | — |
| 163 | #88061 | — | 2 | 1 | no | — |
| 164 | #88060 | — | 2 | 1 | no | — |
| 165 | #88060 | — | 2 | 1 | no | — |
| 166 | #88055 | — | 2 | 1 | no | — |
| 167 | #88054 | — | 2 | 1 | no | — |
| 168 | #88054 | — | 2 | 1 | no | — |
| 169 | #88049 | — | 2 | 2 | no | — |
| 170 | #88049 | — | 2 | 1 | no | — |
| 171 | #88049 | — | 2 | 1 | no | — |
| 172 | #88049 | — | 2 | 1 | no | — |
| 173 | #88047 | — | 2 | 1 | no | — |
| 174 | C4⋊#1055 | C23 | 1 | 1 | yes | characteristic |
| 175 | C4⋊#1055 | C23 | 1 | 1 | yes | characteristic |
| 176 | C4×#1055 | C23 | 1 | 1 | yes | characteristic |
| 177 | #18774 | — | 13 | 1 | no | maximal, Sylow |
| 178 | C2×Q8×C13 | — | 2 | 2 | no | — |
| 179 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 180 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 181 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 182 | C2×Q8×C13 | C2×D4 | 1 | 2 | yes | — |
| 183 | #6131 | — | 2 | 2 | no | — |
| 184 | #6131 | — | 2 | 2 | no | — |
| 185 | #6131 | — | 4 | 1 | no | — |
| 186 | #6131 | — | 4 | 1 | no | — |
| 187 | #6131 | — | 4 | 2 | no | — |
| 188 | #6131 | — | 4 | 2 | no | — |
| 189 | #6131 | — | 4 | 2 | no | — |
| 190 | #6131 | — | 4 | 2 | no | — |
| 191 | #6131 | — | 4 | 2 | no | — |
| 192 | #6131 | — | 4 | 2 | no | — |
| 193 | #6131 | — | 8 | 2 | no | — |
| 194 | #6131 | — | 8 | 4 | no | — |
| 195 | C2×D52 | — | 2 | 2 | no | — |
| 196 | C2×D52 | — | 2 | 2 | no | — |
| 197 | C2×D52 | — | 2 | 1 | no | — |
| 198 | C2×D52 | — | 2 | 1 | no | — |
| 199 | C2×D52 | — | 2 | 1 | no | — |
| 200 | C2×D52 | — | 2 | 1 | no | — |
| 201 | C2×D52 | — | 2 | 1 | no | — |
| 202 | C2×D52 | — | 2 | 1 | no | — |
| 203 | C2×D52 | — | 2 | 1 | no | — |
| 204 | C2×D52 | — | 2 | 2 | no | — |
| 205 | C2×D52 | — | 2 | 2 | no | — |
| 206 | C2×D52 | — | 2 | 2 | no | — |
| 207 | C2×D52 | — | 2 | 2 | no | — |
| 208 | C2×D52 | — | 4 | 1 | no | — |
| 209 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 210 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 211 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 212 | C2×C4×D13 | — | 2 | 2 | no | — |
| 213 | C2×C4×D13 | — | 2 | 2 | no | — |
| 214 | C2×C4×D13 | — | 2 | 1 | no | — |
| 215 | C2×C4×D13 | — | 2 | 1 | no | — |
| 216 | C2×C4×D13 | — | 2 | 1 | no | — |
| 217 | C2×C4×D13 | — | 2 | 1 | no | — |
| 218 | C2×C4×D13 | — | 2 | 2 | no | — |
| 219 | C2×C4×D13 | — | 2 | 1 | no | — |
| 220 | C2×C4×D13 | — | 2 | 1 | no | — |
| 221 | C2×C4×D13 | — | 4 | 1 | no | — |
| 222 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C13×Q16 | — | 4 | 2 | no | — |
| 226 | C2×C8×C13 | — | 2 | 1 | no | — |
| 227 | C2×C8×C13 | — | 2 | 1 | no | — |
| 228 | C2×C8×C13 | — | 2 | 1 | no | — |
| 229 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 230 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 231 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 232 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 233 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 234 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 235 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 236 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 237 | C13×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C13×C4⋊C4 | C2×D4 | 1 | 1 | yes | characteristic |
| 239 | C42×C13 | — | 2 | 2 | no | — |
| 240 | C42×C13 | — | 2 | 1 | no | — |
| 241 | C42×C13 | — | 2 | 1 | no | — |
| 242 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 243 | #6106 | — | 4 | 2 | no | — |
| 244 | #6106 | — | 4 | 2 | no | — |
| 245 | #6106 | — | 4 | 2 | no | — |
| 246 | #6106 | — | 8 | 2 | no | — |
| 247 | #6103 | — | 2 | 2 | no | — |
| 248 | #6103 | — | 2 | 2 | no | — |
| 249 | #6103 | — | 2 | 2 | no | — |
| 250 | #6103 | — | 2 | 2 | no | — |
| 251 | #6103 | — | 2 | 1 | no | — |
| 252 | #6103 | — | 2 | 1 | no | — |
| 253 | #6103 | — | 2 | 1 | no | — |
| 254 | #6103 | — | 2 | 1 | no | — |
| 255 | #6103 | — | 2 | 2 | no | — |
| 256 | #6103 | — | 2 | 2 | no | — |
| 257 | #6103 | — | 2 | 1 | no | — |
| 258 | #6103 | — | 2 | 1 | no | — |
| 259 | #6103 | — | 4 | 1 | no | — |
| 260 | #6103 | — | 4 | 1 | no | — |
| 261 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 262 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 263 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 265 | C4×Dic13 | — | 2 | 2 | no | — |
| 266 | C4×Dic13 | — | 2 | 1 | no | — |
| 267 | C4×Dic13 | — | 2 | 1 | no | — |
| 268 | C4×Dic13 | — | 2 | 1 | no | — |
| 269 | C4×Dic13 | — | 2 | 1 | no | — |
| 270 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 271 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 272 | C4×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 273 | C2×#1055 | — | 2 | 1 | no | — |
| 274 | C2×#1055 | — | 2 | 1 | no | — |
| 275 | C2×#1055 | — | 2 | 1 | no | — |
| 276 | D104 | — | 4 | 2 | no | — |
| 277 | D104 | — | 4 | 2 | no | — |
| 278 | D104 | — | 8 | 2 | no | — |
| 279 | C8×D13 | — | 4 | 2 | no | — |
| 280 | #3483 | — | 13 | 1 | no | — |
| 281 | #3207 | — | 13 | 1 | no | — |
| 282 | #3115 | — | 13 | 1 | no | — |
| 283 | #3035 | — | 13 | 1 | no | — |
| 284 | #1646 | — | 13 | 1 | no | — |
| 285 | #1645 | D13 | 1 | 1 | yes | characteristic, complemented |
| 286 | #1642 | — | 13 | 1 | no | — |
| 287 | #1641 | — | 13 | 1 | no | — |
| 288 | #1624 | — | 13 | 1 | no | — |
| 289 | #1623 | — | 13 | 1 | no | — |
| 290 | #1621 | — | 13 | 1 | no | — |
| 291 | #1621 | — | 13 | 1 | no | — |
| 292 | #1551 | — | 13 | 1 | no | — |
| 293 | #1488 | — | 13 | 1 | no | — |
| 294 | #1477 | — | 13 | 1 | no | — |
| 295 | C22×D13 | — | 2 | 1 | no | — |
| 296 | C22×D13 | — | 2 | 1 | no | — |
| 297 | C22×D13 | — | 2 | 2 | no | — |
| 298 | C22×D13 | — | 4 | 1 | no | — |
| 299 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 300 | Q8×C13 | — | 2 | 1 | no | — |
| 301 | Q8×C13 | — | 2 | 1 | no | — |
| 302 | Q8×C13 | — | 4 | 2 | no | — |
| 303 | Q8×C13 | — | 4 | 1 | no | — |
| 304 | Q8×C13 | — | 4 | 1 | no | — |
| 305 | Q8×C13 | — | 8 | 2 | no | — |
| 306 | Q8×C13 | #135 | 1 | 2 | yes | complemented |
| 307 | Q8×C13 | AGL(1,ℤ/8) | 1 | 2 | yes | — |
| 308 | C2×C4×C13 | — | 2 | 1 | no | — |
| 309 | C2×C4×C13 | — | 2 | 1 | no | — |
| 310 | C2×C4×C13 | — | 2 | 2 | no | — |
| 311 | C2×C4×C13 | — | 2 | 1 | no | — |
| 312 | C2×C4×C13 | — | 2 | 1 | no | — |
| 313 | C2×C4×C13 | — | 4 | 1 | no | — |
| 314 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 315 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 316 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 317 | C2×Dic13 | — | 2 | 1 | no | — |
| 318 | C2×Dic13 | — | 2 | 1 | no | — |
| 319 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 320 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 321 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 322 | D52 | — | 2 | 1 | no | — |
| 323 | D52 | — | 2 | 1 | no | — |
| 324 | D52 | — | 2 | 1 | no | — |
| 325 | D52 | — | 2 | 1 | no | — |
| 326 | D52 | — | 4 | 2 | no | — |
| 327 | D52 | — | 4 | 2 | no | — |
| 328 | D52 | — | 4 | 4 | no | — |
| 329 | D52 | — | 4 | 4 | no | — |
| 330 | D52 | — | 4 | 2 | no | — |
| 331 | D52 | — | 4 | 2 | no | — |
| 332 | D52 | — | 4 | 1 | no | — |
| 333 | D52 | — | 4 | 1 | no | — |
| 334 | D52 | — | 4 | 1 | no | — |
| 335 | D52 | — | 4 | 1 | no | — |
| 336 | D52 | — | 4 | 1 | no | — |
| 337 | D52 | — | 4 | 1 | no | — |
| 338 | D52 | — | 4 | 1 | no | — |
| 339 | D52 | — | 4 | 1 | no | — |
| 340 | D52 | — | 8 | 2 | no | — |
| 341 | D52 | — | 8 | 2 | no | — |
| 342 | D52 | — | 8 | 2 | no | — |
| 343 | D52 | — | 8 | 2 | no | — |
| 344 | D52 | — | 8 | 2 | no | — |
| 345 | C4×D13 | — | 2 | 1 | no | — |
| 346 | C4×D13 | — | 2 | 1 | no | — |
| 347 | C4×D13 | — | 2 | 1 | no | — |
| 348 | C4×D13 | — | 2 | 1 | no | — |
| 349 | C4×D13 | — | 4 | 1 | no | — |
| 350 | C4×D13 | — | 4 | 2 | no | — |
| 351 | C4×D13 | — | 4 | 2 | no | — |
| 352 | C4×D13 | — | 4 | 4 | no | — |
| 353 | C4×D13 | — | 4 | 2 | no | — |
| 354 | C4×D13 | — | 4 | 2 | no | — |
| 355 | C4×D13 | — | 4 | 4 | no | — |
| 356 | C4×D13 | — | 4 | 4 | no | — |
| 357 | C4×D13 | — | 4 | 1 | no | — |
| 358 | C4×D13 | — | 4 | 1 | no | — |
| 359 | C4×D13 | — | 4 | 1 | no | — |
| 360 | C4×D13 | — | 4 | 1 | no | — |
| 361 | C4×D13 | — | 8 | 2 | no | — |
| 362 | C8×C13 | — | 4 | 1 | no | — |
| 363 | C8×C13 | — | 4 | 1 | no | — |
| 364 | C8×C13 | — | 4 | 1 | no | — |
| 365 | #1055 | — | 4 | 1 | no | — |
| 366 | #1055 | — | 4 | 1 | no | — |
| 367 | #1055 | — | 4 | 1 | no | — |
| 368 | C2×#135 | — | 26 | 1 | no | — |
| 369 | Q82 | C2×D13 | 1 | 1 | yes | characteristic |
| 370 | #555 | — | 13 | 1 | no | — |
| 371 | #555 | — | 26 | 1 | no | — |
| 372 | #555 | — | 26 | 1 | no | — |
| 373 | #555 | — | 26 | 2 | no | — |
| 374 | #550 | — | 13 | 1 | no | — |
| 375 | #550 | — | 13 | 1 | no | — |
| 376 | #550 | — | 26 | 1 | no | — |
| 377 | #550 | — | 26 | 1 | no | — |
| 378 | #532 | — | 13 | 1 | no | — |
| 379 | #532 | — | 13 | 1 | no | — |
| 380 | #532 | — | 26 | 1 | no | — |
| 381 | #532 | — | 26 | 1 | no | — |
| 382 | #532 | — | 26 | 2 | no | — |
| 383 | C4×#41 | — | 13 | 1 | no | — |
| 384 | C4×#41 | — | 13 | 1 | no | — |
| 385 | C4×#41 | — | 26 | 1 | no | — |
| 386 | C4×#41 | — | 26 | 1 | no | — |
| 387 | #493 | — | 13 | 1 | no | — |
| 388 | #492 | — | 13 | 1 | no | — |
| 389 | #487 | C2×D13 | 1 | 1 | yes | characteristic |
| 390 | #486 | — | 13 | 1 | no | — |
| 391 | #482 | — | 26 | 1 | no | — |
| 392 | #475 | C2×D13 | 1 | 1 | yes | characteristic |
| 393 | #474 | — | 13 | 1 | no | — |
| 394 | #464 | — | 26 | 1 | no | — |
| 395 | #463 | — | 26 | 1 | no | — |
| 396 | #463 | — | 26 | 2 | no | — |
| 397 | #462 | C2×D13 | 1 | 1 | yes | characteristic |
| 398 | #461 | — | 13 | 1 | no | — |
| 399 | #460 | — | 13 | 1 | no | — |
| 400 | #460 | — | 13 | 1 | no | — |
| 401 | #459 | — | 13 | 1 | no | — |
| 402 | #459 | — | 13 | 1 | no | — |
| 403 | #449 | — | 26 | 1 | no | — |
| 404 | #449 | — | 26 | 2 | no | — |
| 405 | #442 | — | 26 | 1 | no | — |
| 406 | #440 | — | 26 | 1 | no | — |
| 407 | #432 | — | 13 | 1 | no | — |
| 408 | #431 | — | 13 | 1 | no | — |
| 409 | C2×C4⋊C8 | — | 13 | 1 | no | — |
| 410 | #416 | — | 26 | 1 | no | — |
| 411 | #333 | — | 13 | 1 | no | — |
| 412 | #333 | C2×D13 | 1 | 1 | yes | characteristic |
| 413 | #331 | — | 13 | 1 | no | — |
| 414 | #331 | — | 13 | 1 | no | — |
| 415 | Q8⋊C8 | — | 13 | 1 | no | — |
| 416 | Q8⋊C8 | — | 13 | 1 | no | — |
| 417 | Q8⋊C8 | C2×D13 | 1 | 1 | yes | characteristic |
| 418 | Q8⋊C8 | C2×D13 | 1 | 1 | yes | characteristic |
| 419 | D4⋊C8 | — | 13 | 1 | no | — |
| 420 | D4⋊C8 | — | 13 | 1 | no | — |
| 421 | D4⋊C8 | — | 13 | 1 | no | — |
| 422 | D4⋊C8 | — | 13 | 1 | no | — |
| 423 | C22×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 424 | C2×D13 | — | 2 | 1 | no | — |
| 425 | C2×D13 | — | 2 | 1 | no | — |
| 426 | C2×D13 | — | 2 | 1 | no | — |
| 427 | C2×D13 | — | 4 | 1 | no | — |
| 428 | C2×D13 | — | 4 | 2 | no | — |
| 429 | C2×D13 | — | 4 | 1 | no | — |
| 430 | C2×D13 | — | 4 | 1 | no | — |
| 431 | C2×D13 | — | 4 | 2 | no | — |
| 432 | C2×D13 | — | 4 | 1 | no | — |
| 433 | C2×D13 | — | 4 | 2 | no | — |
| 434 | C2×D13 | — | 4 | 1 | no | — |
| 435 | C2×D13 | — | 4 | 1 | no | — |
| 436 | C2×D13 | — | 8 | 1 | no | — |
| 437 | C2×D13 | — | 8 | 1 | no | — |
| 438 | C2×D13 | — | 8 | 1 | no | — |
| 439 | C4×C13 | — | 2 | 2 | no | — |
| 440 | C4×C13 | — | 2 | 2 | no | — |
| 441 | C4×C13 | — | 2 | 1 | no | — |
| 442 | C4×C13 | — | 4 | 2 | no | — |
| 443 | C4×C13 | — | 4 | 1 | no | — |
| 444 | C4×C13 | — | 4 | 1 | no | — |
| 445 | C4×C13 | — | 8 | 1 | no | — |
| 446 | C4×C13 | C2×#135 | 1 | 1 | yes | characteristic |
| 447 | C4×C13 | C2×AGL(1,ℤ/8) | 1 | 1 | yes | characteristic |
| 448 | C4×C13 | #575 | 1 | 1 | yes | characteristic |
| 449 | C4×C13 | #575 | 1 | 1 | yes | characteristic |
| 450 | Dic13 | — | 2 | 1 | no | — |
| 451 | Dic13 | — | 2 | 1 | no | — |
| 452 | Dic13 | — | 2 | 1 | no | — |
| 453 | Dic13 | — | 4 | 1 | no | — |
| 454 | Dic13 | — | 4 | 1 | no | — |
| 455 | C2×#41 | — | 13 | 1 | no | — |
| 456 | C2×#41 | — | 13 | 1 | no | — |
| 457 | C2×#41 | — | 13 | 2 | no | — |
| 458 | C2×#41 | — | 26 | 1 | no | — |
| 459 | C2×#41 | — | 26 | 2 | no | — |
| 460 | C2×#41 | — | 26 | 1 | no | — |
| 461 | C2×#41 | — | 26 | 1 | no | — |
| 462 | #135 | — | 52 | 4 | no | — |
| 463 | C2×Q16 | — | 2 | 1 | no | — |
| 464 | C2×SD16 | — | 26 | 1 | no | — |
| 465 | C2×SD16 | — | 26 | 1 | no | — |
| 466 | C2×SD16 | — | 26 | 1 | no | — |
| 467 | C2×SD16 | — | 26 | 2 | no | — |
| 468 | C2×D8 | — | 26 | 1 | no | — |
| 469 | C2×D8 | — | 26 | 1 | no | — |
| 470 | C2×D8 | — | 26 | 2 | no | — |
| 471 | C22×C8 | — | 26 | 1 | no | — |
| 472 | C4⋊Q8 | — | 2 | 2 | no | — |
| 473 | C4⋊Q8 | — | 2 | 1 | no | — |
| 474 | C4⋊Q8 | — | 2 | 1 | no | — |
| 475 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 476 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 477 | #127 | — | 13 | 1 | no | — |
| 478 | #127 | — | 13 | 1 | no | — |
| 479 | #127 | — | 26 | 1 | no | — |
| 480 | #127 | — | 26 | 1 | no | — |
| 481 | #127 | — | 26 | 2 | no | — |
| 482 | #124 | — | 13 | 2 | no | — |
| 483 | #124 | — | 26 | 1 | no | — |
| 484 | #124 | — | 26 | 2 | no | — |
| 485 | #124 | — | 26 | 2 | no | — |
| 486 | #124 | — | 26 | 2 | no | — |
| 487 | #124 | — | 26 | 2 | no | — |
| 488 | #121 | — | 26 | 1 | no | — |
| 489 | #121 | — | 26 | 1 | no | — |
| 490 | #121 | — | 26 | 2 | no | — |
| 491 | #121 | — | 26 | 2 | no | — |
| 492 | #121 | — | 26 | 1 | no | — |
| 493 | #121 | — | 26 | 1 | no | — |
| 494 | #121 | — | 26 | 2 | no | — |
| 495 | #121 | — | 26 | 2 | no | — |
| 496 | #121 | — | 26 | 2 | no | — |
| 497 | #121 | — | 26 | 2 | no | — |
| 498 | #121 | — | 26 | 1 | no | — |
| 499 | #121 | — | 26 | 1 | no | — |
| 500 | #121 | — | 26 | 1 | no | — |
| 501 | #121 | — | 26 | 1 | no | — |
| 502 | C4×Q8 | — | 2 | 1 | no | — |
| 503 | C4×Q8 | — | 2 | 1 | no | — |
| 504 | C4×Q8 | — | 13 | 1 | no | — |
| 505 | C4×Q8 | — | 13 | 1 | no | — |
| 506 | C4×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 507 | C4×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 508 | C4×D4 | — | 13 | 1 | no | — |
| 509 | C4×D4 | — | 13 | 1 | no | — |
| 510 | C4×D4 | — | 13 | 1 | no | — |
| 511 | C4×D4 | — | 13 | 1 | no | — |
| 512 | C4×D4 | — | 26 | 1 | no | — |
| 513 | C4×D4 | — | 26 | 1 | no | — |
| 514 | C4×D4 | — | 26 | 1 | no | — |
| 515 | C4×D4 | — | 26 | 1 | no | — |
| 516 | C4×D4 | — | 26 | 2 | no | — |
| 517 | C4×D4 | — | 26 | 2 | no | — |
| 518 | C4×D4 | — | 26 | 1 | no | — |
| 519 | C4×D4 | — | 26 | 1 | no | — |
| 520 | C4×D4 | — | 26 | 1 | no | — |
| 521 | C4×D4 | — | 26 | 1 | no | — |
| 522 | C4×D4 | — | 26 | 1 | no | — |
| 523 | C4×D4 | — | 26 | 1 | no | — |
| 524 | C4×D4 | — | 26 | 2 | no | — |
| 525 | C4×D4 | — | 26 | 2 | no | — |
| 526 | #117 | — | 13 | 1 | no | — |
| 527 | #117 | — | 13 | 1 | no | — |
| 528 | #117 | — | 26 | 1 | no | — |
| 529 | #117 | — | 26 | 1 | no | — |
| 530 | #117 | — | 26 | 1 | no | — |
| 531 | #117 | — | 26 | 1 | no | — |
| 532 | #117 | — | 26 | 2 | no | — |
| 533 | #117 | — | 26 | 2 | no | — |
| 534 | C2×C42 | — | 13 | 1 | no | — |
| 535 | C2×C42 | — | 26 | 1 | no | — |
| 536 | C2×C42 | — | 26 | 1 | no | — |
| 537 | C2×C42 | — | 26 | 2 | no | — |
| 538 | #107 | — | 26 | 1 | no | — |
| 539 | #106 | — | 2 | 1 | no | — |
| 540 | C4⋊C8 | — | 13 | 1 | no | — |
| 541 | C4⋊C8 | — | 13 | 1 | no | — |
| 542 | C4⋊C8 | — | 26 | 1 | no | — |
| 543 | C4⋊C8 | — | 26 | 1 | no | — |
| 544 | C4⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 545 | C4⋊C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 546 | #103 | — | 2 | 1 | no | — |
| 547 | #103 | — | 2 | 2 | no | — |
| 548 | #103 | — | 2 | 1 | no | — |
| 549 | #103 | — | 26 | 1 | no | — |
| 550 | #102 | — | 26 | 1 | no | — |
| 551 | #102 | — | 26 | 2 | no | — |
| 552 | #102 | — | 26 | 1 | no | — |
| 553 | #102 | — | 26 | 1 | no | — |
| 554 | #102 | — | 26 | 1 | no | — |
| 555 | #102 | — | 26 | 1 | no | — |
| 556 | C22⋊C8 | — | 26 | 1 | no | — |
| 557 | C22⋊C8 | — | 26 | 1 | no | — |
| 558 | #97 | — | 26 | 1 | no | — |
| 559 | C4×C8 | — | 13 | 1 | no | — |
| 560 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 561 | C2×C13 | #3002 | 1 | 1 | yes | characteristic |
| 562 | C2×C13 | #3006 | 1 | 1 | yes | characteristic |
| 563 | C2×C13 | #3019 | 1 | 1 | yes | characteristic |
| 564 | D13 | — | 4 | 1 | no | — |
| 565 | D13 | — | 8 | 1 | no | — |
| 566 | D13 | — | 8 | 1 | no | — |
| 567 | D13 | — | 8 | 2 | no | — |
| 568 | D13 | — | 16 | 1 | no | — |
| 569 | #41 | — | 26 | 2 | no | — |
| 570 | #41 | — | 26 | 2 | no | — |
| 571 | #41 | — | 52 | 1 | no | — |
| 572 | #41 | — | 52 | 1 | no | — |
| 573 | #41 | — | 52 | 2 | no | — |
| 574 | #41 | — | 52 | 2 | no | — |
| 575 | #41 | — | 52 | 2 | no | — |
| 576 | #41 | — | 52 | 2 | no | — |
| 577 | #41 | — | 52 | 2 | no | — |
| 578 | #41 | — | 52 | 2 | no | — |
| 579 | #41 | — | 104 | 2 | no | — |
| 580 | #41 | — | 104 | 4 | no | — |
| 581 | C2×Q8 | — | 2 | 2 | no | — |
| 582 | C2×Q8 | — | 2 | 1 | no | — |
| 583 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 584 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 585 | C2×Q8 | D4×D13 | 1 | 2 | yes | — |
| 586 | C2×D4 | — | 13 | 1 | no | — |
| 587 | C2×D4 | — | 13 | 1 | no | — |
| 588 | C2×D4 | — | 13 | 2 | no | — |
| 589 | C2×D4 | — | 26 | 1 | no | — |
| 590 | C2×D4 | — | 26 | 1 | no | — |
| 591 | C2×D4 | — | 26 | 2 | no | — |
| 592 | C2×D4 | — | 26 | 2 | no | — |
| 593 | C2×D4 | — | 26 | 2 | no | — |
| 594 | C2×D4 | — | 26 | 2 | no | — |
| 595 | C2×D4 | — | 26 | 2 | no | — |
| 596 | C2×D4 | — | 26 | 2 | no | — |
| 597 | C2×D4 | — | 26 | 1 | no | — |
| 598 | C2×D4 | — | 26 | 1 | no | — |
| 599 | C2×D4 | — | 26 | 1 | no | — |
| 600 | C2×D4 | — | 26 | 1 | no | — |
| 601 | C2×D4 | — | 26 | 1 | no | — |
| 602 | C2×D4 | — | 52 | 1 | no | — |
| 603 | C22×C4 | — | 13 | 1 | no | — |
| 604 | C22×C4 | — | 13 | 1 | no | — |
| 605 | C22×C4 | — | 13 | 1 | no | — |
| 606 | C22×C4 | — | 26 | 1 | no | — |
| 607 | C22×C4 | — | 26 | 1 | no | — |
| 608 | C22×C4 | — | 26 | 1 | no | — |
| 609 | C22×C4 | — | 26 | 1 | no | — |
| 610 | C22×C4 | — | 26 | 2 | no | — |
| 611 | C22×C4 | — | 26 | 2 | no | — |
| 612 | C22×C4 | — | 26 | 2 | no | — |
| 613 | C22×C4 | — | 26 | 1 | no | — |
| 614 | C22×C4 | — | 26 | 1 | no | — |
| 615 | C22×C4 | — | 52 | 1 | no | — |
| 616 | Q16 | — | 4 | 2 | no | — |
| 617 | SD16 | — | 52 | 2 | no | — |
| 618 | SD16 | — | 52 | 2 | no | — |
| 619 | SD16 | — | 52 | 2 | no | — |
| 620 | SD16 | — | 104 | 2 | no | — |
| 621 | D8 | — | 52 | 2 | no | — |
| 622 | D8 | — | 52 | 2 | no | — |
| 623 | D8 | — | 104 | 2 | no | — |
| 624 | C2×C8 | — | 2 | 1 | no | — |
| 625 | C2×C8 | — | 2 | 1 | no | — |
| 626 | C2×C8 | — | 2 | 1 | no | — |
| 627 | C2×C8 | — | 26 | 1 | no | — |
| 628 | C2×C8 | — | 26 | 1 | no | — |
| 629 | C2×C8 | — | 26 | 1 | no | — |
| 630 | C2×C8 | — | 52 | 2 | no | — |
| 631 | C4⋊C4 | — | 2 | 2 | no | — |
| 632 | C4⋊C4 | — | 2 | 2 | no | — |
| 633 | C4⋊C4 | — | 2 | 1 | no | — |
| 634 | C4⋊C4 | — | 2 | 1 | no | — |
| 635 | C4⋊C4 | — | 2 | 1 | no | — |
| 636 | C4⋊C4 | — | 2 | 1 | no | — |
| 637 | C4⋊C4 | — | 2 | 1 | no | — |
| 638 | C4⋊C4 | — | 2 | 1 | no | — |
| 639 | C4⋊C4 | — | 13 | 1 | no | — |
| 640 | C4⋊C4 | — | 13 | 1 | no | — |
| 641 | C4⋊C4 | — | 26 | 1 | no | — |
| 642 | C4⋊C4 | — | 26 | 1 | no | — |
| 643 | C4⋊C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 644 | C4⋊C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 645 | C22⋊C4 | — | 26 | 1 | no | — |
| 646 | C22⋊C4 | — | 26 | 1 | no | — |
| 647 | C22⋊C4 | — | 26 | 2 | no | — |
| 648 | C22⋊C4 | — | 26 | 2 | no | — |
| 649 | C22⋊C4 | — | 26 | 1 | no | — |
| 650 | C22⋊C4 | — | 26 | 1 | no | — |
| 651 | C22⋊C4 | — | 26 | 2 | no | — |
| 652 | C22⋊C4 | — | 26 | 2 | no | — |
| 653 | C22⋊C4 | — | 26 | 2 | no | — |
| 654 | C22⋊C4 | — | 26 | 2 | no | — |
| 655 | C22⋊C4 | — | 26 | 1 | no | — |
| 656 | C22⋊C4 | — | 26 | 1 | no | — |
| 657 | C22⋊C4 | — | 52 | 1 | no | — |
| 658 | C22⋊C4 | — | 52 | 1 | no | — |
| 659 | C42 | — | 2 | 2 | no | — |
| 660 | C42 | — | 2 | 1 | no | — |
| 661 | C42 | — | 2 | 1 | no | — |
| 662 | C42 | — | 13 | 1 | no | — |
| 663 | C42 | — | 13 | 1 | no | — |
| 664 | C42 | — | 13 | 1 | no | — |
| 665 | C42 | — | 26 | 1 | no | — |
| 666 | C42 | — | 26 | 1 | no | — |
| 667 | C42 | — | 26 | 1 | no | — |
| 668 | C42 | — | 26 | 1 | no | — |
| 669 | C42 | — | 26 | 2 | no | — |
| 670 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 671 | C13 | #18774 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 672 | C23 | — | 13 | 1 | no | — |
| 673 | C23 | — | 26 | 2 | no | — |
| 674 | C23 | — | 26 | 1 | no | — |
| 675 | C23 | — | 26 | 1 | no | — |
| 676 | C23 | — | 52 | 1 | no | — |
| 677 | Q8 | — | 2 | 1 | no | — |
| 678 | Q8 | — | 2 | 1 | no | — |
| 679 | Q8 | — | 4 | 2 | no | — |
| 680 | Q8 | — | 4 | 1 | no | — |
| 681 | Q8 | — | 4 | 1 | no | — |
| 682 | Q8 | — | 8 | 2 | no | — |
| 683 | Q8 | #88168 | 1 | 2 | yes | — |
| 684 | Q8 | #88173 | 1 | 2 | yes | complemented |
| 685 | D4 | — | 26 | 1 | no | — |
| 686 | D4 | — | 26 | 1 | no | — |
| 687 | D4 | — | 26 | 1 | no | — |
| 688 | D4 | — | 26 | 1 | no | — |
| 689 | D4 | — | 52 | 2 | no | — |
| 690 | D4 | — | 52 | 2 | no | — |
| 691 | D4 | — | 52 | 2 | no | — |
| 692 | D4 | — | 52 | 4 | no | — |
| 693 | D4 | — | 52 | 4 | no | — |
| 694 | D4 | — | 52 | 2 | no | — |
| 695 | D4 | — | 52 | 1 | no | — |
| 696 | D4 | — | 52 | 1 | no | — |
| 697 | D4 | — | 52 | 1 | no | — |
| 698 | D4 | — | 52 | 1 | no | — |
| 699 | D4 | — | 52 | 1 | no | — |
| 700 | D4 | — | 52 | 1 | no | — |
| 701 | D4 | — | 52 | 1 | no | — |
| 702 | D4 | — | 52 | 1 | no | — |
| 703 | D4 | — | 104 | 2 | no | — |
| 704 | D4 | — | 104 | 2 | no | — |
| 705 | D4 | — | 104 | 2 | no | — |
| 706 | D4 | — | 104 | 2 | no | — |
| 707 | D4 | — | 104 | 2 | no | — |
| 708 | C2×C4 | — | 2 | 1 | no | — |
| 709 | C2×C4 | — | 2 | 1 | no | — |
| 710 | C2×C4 | — | 2 | 2 | no | — |
| 711 | C2×C4 | — | 2 | 1 | no | — |
| 712 | C2×C4 | — | 2 | 1 | no | — |
| 713 | C2×C4 | — | 4 | 1 | no | — |
| 714 | C2×C4 | — | 13 | 1 | no | — |
| 715 | C2×C4 | — | 13 | 1 | no | — |
| 716 | C2×C4 | — | 13 | 1 | no | — |
| 717 | C2×C4 | — | 26 | 1 | no | — |
| 718 | C2×C4 | — | 26 | 1 | no | — |
| 719 | C2×C4 | — | 26 | 1 | no | — |
| 720 | C2×C4 | — | 26 | 1 | no | — |
| 721 | C2×C4 | — | 26 | 1 | no | — |
| 722 | C2×C4 | — | 26 | 1 | no | — |
| 723 | C2×C4 | — | 52 | 1 | no | — |
| 724 | C2×C4 | — | 52 | 2 | no | — |
| 725 | C2×C4 | — | 52 | 2 | no | — |
| 726 | C2×C4 | — | 52 | 4 | no | — |
| 727 | C2×C4 | — | 52 | 4 | no | — |
| 728 | C2×C4 | — | 52 | 4 | no | — |
| 729 | C2×C4 | — | 52 | 2 | no | — |
| 730 | C2×C4 | — | 52 | 2 | no | — |
| 731 | C2×C4 | — | 52 | 1 | no | — |
| 732 | C2×C4 | — | 52 | 1 | no | — |
| 733 | C2×C4 | — | 52 | 1 | no | — |
| 734 | C2×C4 | — | 52 | 1 | no | — |
| 735 | C2×C4 | — | 104 | 2 | no | — |
| 736 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 737 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 738 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 739 | C8 | — | 4 | 1 | no | — |
| 740 | C8 | — | 4 | 1 | no | — |
| 741 | C8 | — | 4 | 1 | no | — |
| 742 | C8 | — | 52 | 1 | no | — |
| 743 | C8 | — | 52 | 1 | no | — |
| 744 | C8 | — | 52 | 1 | no | — |
| 745 | C22 | — | 26 | 1 | no | — |
| 746 | C22 | — | 26 | 1 | no | — |
| 747 | C22 | — | 26 | 1 | no | — |
| 748 | C22 | — | 52 | 2 | no | — |
| 749 | C22 | — | 52 | 1 | no | — |
| 750 | C22 | — | 52 | 1 | no | — |
| 751 | C22 | — | 52 | 1 | no | — |
| 752 | C22 | — | 52 | 2 | no | — |
| 753 | C22 | — | 52 | 1 | no | — |
| 754 | C22 | — | 52 | 1 | no | — |
| 755 | C22 | — | 52 | 2 | no | — |
| 756 | C22 | — | 52 | 1 | no | — |
| 757 | C22 | — | 104 | 1 | no | — |
| 758 | C22 | — | 104 | 1 | no | — |
| 759 | C22 | — | 104 | 1 | no | — |
| 760 | C22 | D13×#120 | 1 | 1 | yes | characteristic |
| 761 | C4 | — | 2 | 1 | no | — |
| 762 | C4 | — | 2 | 2 | no | — |
| 763 | C4 | — | 2 | 2 | no | — |
| 764 | C4 | — | 4 | 2 | no | — |
| 765 | C4 | — | 4 | 1 | no | — |
| 766 | C4 | — | 4 | 1 | no | — |
| 767 | C4 | — | 8 | 1 | no | — |
| 768 | C4 | — | 26 | 1 | no | — |
| 769 | C4 | — | 26 | 1 | no | — |
| 770 | C4 | — | 26 | 1 | no | — |
| 771 | C4 | — | 52 | 1 | no | — |
| 772 | C4 | — | 52 | 1 | no | — |
| 773 | C4 | C2×#88168 | 1 | 1 | yes | characteristic |
| 774 | C4 | C2×#88173 | 1 | 1 | yes | characteristic |
| 775 | C4 | #11719482 | 1 | 1 | yes | characteristic |
| 776 | C4 | #11719482 | 1 | 1 | yes | characteristic |
| 777 | C2 | — | 52 | 1 | no | — |
| 778 | C2 | — | 104 | 2 | no | — |
| 779 | C2 | — | 104 | 1 | no | — |
| 780 | C2 | — | 104 | 1 | no | — |
| 781 | C2 | — | 208 | 1 | no | — |
| 782 | C2 | #13124059 | 1 | 1 | yes | characteristic |
| 783 | C2 | #13124087 | 1 | 1 | yes | characteristic |
| 784 | C2 | #13124194 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13128463 | C2 | semidirect |
| 2. #13125772 | C2 | semidirect |
| 3. #13124990 | C2 | semidirect |
| 4. #13124294 | C2 | semidirect |
| 5. #13114061 | C2 | semidirect |
| 6. #13114035 | C2 | semidirect |
| 7. #13114027 | C2 | semidirect |
| 8. #13113920 | C2 | semidirect |
| 9. #13113914 | C2 | semidirect |
| 10. #13113903 | C2 | semidirect |
| 11. #13113903 | C2 | semidirect |
| 12. #13113530 | C2 | semidirect |
| 13. #13113269 | C2 | semidirect |
| 14. #13113222 | C2 | semidirect |
| 15. C13×#1645 | C2 | semidirect |
| 285. #1645 | D13 | semidirect |
| 306. Q8×C13 | #135 | semidirect |
| 671. C13 | #18774 | semidirect |
| 684. Q8 | #88173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128463 | 2 |
| #13125772 | 2 |
| #13124990 | 2 |
| #13124294 | 2 |
| #13114061 | 2 |
| #13114035 | 2 |
| #13114027 | 2 |
| #13113920 | 2 |
| #13113914 | 2 |
| #13113903 | 2 |
| #13113530 | 2 |
| #13113269 | 2 |
| #13113222 | 2 |
| C13×#1645 | 2 |
| #18774 | 13 |