Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1294 conjugacy classes of subgroups.
The subgroup lattice has 854 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129620 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13124365 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13124362 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13124241 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13124130 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13123298 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13116141 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13116139 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13115894 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13115355 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13115329 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13115327 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13115123 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #13114798 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#2009 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | #11719648 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#88257 | C22 | 1 | 1 | yes | characteristic |
| 18 | C13×#575 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C13×#137 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C13×#536 | C22 | 1 | 1 | yes | characteristic |
| 21 | C2×#88205 | C22 | 1 | 1 | yes | characteristic |
| 22 | #11719527 | C22 | 1 | 1 | yes | characteristic |
| 23 | #11719521 | C22 | 1 | 1 | yes | characteristic |
| 24 | #11719521 | C22 | 1 | 1 | yes | characteristic |
| 25 | C22×#6107 | C22 | 1 | 1 | yes | characteristic, complemented |
| 26 | #11719484 | — | 2 | 2 | no | — |
| 27 | D13×#137 | — | 2 | 2 | no | — |
| 28 | #11719480 | — | 2 | 2 | no | — |
| 29 | #11719478 | — | 2 | 2 | no | — |
| 30 | #11719476 | — | 2 | 2 | no | — |
| 31 | #11719475 | — | 2 | 2 | no | — |
| 32 | C2×#88163 | C22 | 1 | 1 | yes | characteristic |
| 33 | #11719450 | C22 | 1 | 1 | yes | characteristic |
| 34 | #11719221 | C22 | 1 | 1 | yes | characteristic, complemented |
| 35 | #11719221 | C22 | 1 | 1 | yes | characteristic, complemented |
| 36 | C13×#421 | C22 | 1 | 1 | yes | characteristic |
| 37 | C13×#419 | C22 | 1 | 1 | yes | characteristic, complemented |
| 38 | C13×#410 | C22 | 1 | 1 | yes | characteristic, complemented |
| 39 | #11718901 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11718901 | C22 | 1 | 1 | yes | characteristic, complemented |
| 41 | #11718894 | C22 | 1 | 1 | yes | characteristic |
| 42 | #11718894 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | #11718886 | C22 | 1 | 1 | yes | characteristic, complemented |
| 44 | #11718847 | — | 2 | 2 | no | — |
| 45 | #11718834 | — | 2 | 2 | no | — |
| 46 | #11718800 | C22 | 1 | 1 | yes | characteristic |
| 47 | #11718790 | C22 | 1 | 1 | yes | characteristic |
| 48 | #11718781 | C22 | 1 | 1 | yes | characteristic, complemented |
| 49 | #11718780 | C22 | 1 | 1 | yes | characteristic, complemented |
| 50 | #11718751 | — | 2 | 2 | no | — |
| 51 | #11718715 | — | 2 | 2 | no | — |
| 52 | #11718714 | — | 2 | 4 | no | — |
| 53 | #11718667 | C22 | 1 | 1 | yes | characteristic |
| 54 | #11718667 | C22 | 1 | 1 | yes | characteristic |
| 55 | #11718667 | C22 | 1 | 1 | yes | characteristic |
| 56 | #11718663 | C22 | 1 | 1 | yes | characteristic |
| 57 | #11718660 | C22 | 1 | 1 | yes | characteristic, complemented |
| 58 | #11718459 | — | 2 | 2 | no | — |
| 59 | #11718454 | — | 2 | 2 | no | — |
| 60 | #11718401 | — | 2 | 4 | no | — |
| 61 | C13×#344 | C22 | 1 | 1 | yes | characteristic, complemented |
| 62 | #11718151 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #11718149 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #11718123 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 66 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 67 | C22×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 68 | #88257 | — | 2 | 2 | no | — |
| 69 | #88257 | — | 2 | 1 | no | — |
| 70 | #88257 | — | 2 | 2 | no | — |
| 71 | #88257 | — | 2 | 1 | no | — |
| 72 | #88257 | — | 4 | 1 | no | — |
| 73 | #88257 | — | 4 | 1 | no | — |
| 74 | #88256 | — | 2 | 1 | no | — |
| 75 | #88256 | — | 2 | 1 | no | — |
| 76 | #41×D13 | — | 2 | 2 | no | — |
| 77 | #41×D13 | — | 4 | 1 | no | — |
| 78 | #88254 | — | 2 | 1 | no | — |
| 79 | C2×Q8×D13 | D4 | 1 | 2 | yes | — |
| 80 | #88251 | — | 2 | 1 | no | — |
| 81 | #88251 | — | 2 | 2 | no | — |
| 82 | C2×#6129 | — | 2 | 2 | no | — |
| 83 | C2×#6129 | D4 | 1 | 2 | yes | — |
| 84 | C2×#6127 | — | 2 | 1 | no | — |
| 85 | C2×#6127 | — | 4 | 1 | no | — |
| 86 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 87 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 88 | C22×Dic26 | — | 2 | 1 | no | — |
| 89 | C22×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 90 | C13×#137 | — | 2 | 1 | no | — |
| 91 | C13×#137 | — | 2 | 1 | no | — |
| 92 | C13×#137 | — | 4 | 1 | no | — |
| 93 | C13×#137 | — | 4 | 1 | no | — |
| 94 | C13×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 95 | C13×AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 96 | C13×#135 | — | 2 | 2 | no | — |
| 97 | C2×C13×Q16 | — | 2 | 1 | no | — |
| 98 | C2×C13×SD16 | — | 2 | 1 | no | — |
| 99 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 100 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 101 | C13×C4⋊Q8 | — | 2 | 1 | no | — |
| 102 | C13×#124 | — | 2 | 1 | no | — |
| 103 | C13×#123 | — | 2 | 2 | no | — |
| 104 | C13×C22⋊Q8 | — | 4 | 1 | no | — |
| 105 | C13×#117 | C23 | 1 | 1 | yes | characteristic |
| 106 | C13×#117 | C23 | 1 | 1 | yes | characteristic |
| 107 | #88205 | — | 2 | 2 | no | — |
| 108 | #88205 | — | 2 | 1 | no | — |
| 109 | #88205 | — | 2 | 2 | no | — |
| 110 | #88204 | — | 2 | 2 | no | — |
| 111 | #88203 | — | 2 | 1 | no | — |
| 112 | #88201 | — | 2 | 1 | no | — |
| 113 | #88201 | — | 2 | 1 | no | — |
| 114 | #88200 | — | 2 | 2 | no | — |
| 115 | #88200 | — | 4 | 1 | no | — |
| 116 | #88198 | — | 2 | 1 | no | — |
| 117 | #88198 | — | 2 | 1 | no | — |
| 118 | C2×#6107 | — | 2 | 2 | no | — |
| 119 | C2×#6107 | — | 2 | 2 | no | — |
| 120 | C2×#6107 | — | 2 | 2 | no | — |
| 121 | C2×#6107 | D4 | 1 | 2 | yes | — |
| 122 | #88196 | — | 2 | 1 | no | — |
| 123 | C2×#6105 | D4 | 1 | 2 | yes | — |
| 124 | #88186 | — | 2 | 1 | no | — |
| 125 | #88183 | — | 2 | 2 | no | — |
| 126 | #88183 | — | 2 | 2 | no | — |
| 127 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 128 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 129 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 130 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 131 | C22×#1055 | C23 | 1 | 1 | yes | characteristic |
| 132 | #88172 | — | 2 | 4 | no | — |
| 133 | Q16×D13 | — | 2 | 4 | no | — |
| 134 | #88170 | — | 2 | 4 | no | — |
| 135 | #88169 | — | 2 | 4 | no | — |
| 136 | #88169 | — | 2 | 4 | no | — |
| 137 | SD16×D13 | — | 2 | 4 | no | — |
| 138 | #88166 | — | 2 | 4 | no | — |
| 139 | #88165 | — | 2 | 4 | no | — |
| 140 | #88163 | — | 2 | 2 | no | — |
| 141 | #88163 | — | 2 | 2 | no | — |
| 142 | #88161 | — | 2 | 2 | no | — |
| 143 | M16×D13 | — | 2 | 2 | no | — |
| 144 | C2×Dic52 | D4 | 1 | 2 | yes | — |
| 145 | C2×#6095 | D4 | 1 | 2 | yes | — |
| 146 | #88155 | — | 2 | 2 | no | — |
| 147 | #88141 | — | 2 | 2 | no | — |
| 148 | #88141 | — | 4 | 1 | no | — |
| 149 | #88131 | — | 2 | 2 | no | — |
| 150 | #88131 | — | 2 | 2 | no | — |
| 151 | C4×Dic26 | — | 2 | 2 | no | — |
| 152 | C4×Dic26 | — | 4 | 1 | no | — |
| 153 | C13×#104 | — | 4 | 1 | no | — |
| 154 | C13×#103 | — | 2 | 2 | no | — |
| 155 | C13×#99 | — | 2 | 2 | no | — |
| 156 | #88075 | — | 2 | 1 | no | — |
| 157 | #88075 | — | 2 | 1 | no | — |
| 158 | #88075 | — | 2 | 2 | no | — |
| 159 | #88074 | — | 2 | 2 | no | — |
| 160 | #88074 | — | 2 | 2 | no | — |
| 161 | #88072 | — | 2 | 1 | no | — |
| 162 | #88072 | — | 2 | 1 | no | — |
| 163 | #88065 | — | 4 | 1 | no | — |
| 164 | #88060 | — | 2 | 2 | no | — |
| 165 | #88056 | — | 2 | 2 | no | — |
| 166 | #88054 | — | 2 | 2 | no | — |
| 167 | #88050 | — | 2 | 1 | no | — |
| 168 | #88049 | — | 2 | 1 | no | — |
| 169 | #88046 | — | 2 | 2 | no | — |
| 170 | #88046 | — | 2 | 2 | no | — |
| 171 | #88046 | D4 | 1 | 4 | yes | — |
| 172 | C4⋊#1055 | — | 2 | 2 | no | — |
| 173 | #24411 | — | 13 | 1 | no | maximal, Sylow |
| 174 | C13×#41 | — | 2 | 1 | no | — |
| 175 | C13×#41 | — | 2 | 1 | no | — |
| 176 | C13×#41 | — | 2 | 1 | no | — |
| 177 | C13×#41 | — | 2 | 1 | no | — |
| 178 | C13×#41 | — | 2 | 1 | no | — |
| 179 | C13×#41 | — | 2 | 1 | no | — |
| 180 | C13×#41 | — | 2 | 1 | no | — |
| 181 | C13×#41 | — | 2 | 1 | no | — |
| 182 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 183 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 184 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 185 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 186 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 187 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 188 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 189 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 190 | C2×D4×C13 | — | 2 | 1 | no | — |
| 191 | C2×D4×C13 | — | 2 | 1 | no | — |
| 192 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 193 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 194 | C22×C4×C13 | — | 2 | 1 | no | — |
| 195 | C22×C4×C13 | — | 2 | 1 | no | — |
| 196 | C22×C4×C13 | — | 2 | 1 | no | — |
| 197 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 198 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 199 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 200 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 201 | C2×C22⋊D13 | C2×D4 | 1 | 2 | yes | — |
| 202 | C22×Dic13 | — | 2 | 1 | no | — |
| 203 | C22×Dic13 | — | 2 | 2 | no | — |
| 204 | #6131 | — | 2 | 2 | no | — |
| 205 | #6131 | — | 4 | 1 | no | — |
| 206 | Q8×D13 | — | 2 | 2 | no | — |
| 207 | Q8×D13 | — | 2 | 4 | no | — |
| 208 | Q8×D13 | — | 4 | 2 | no | — |
| 209 | Q8×D13 | — | 4 | 1 | no | — |
| 210 | #6129 | — | 2 | 2 | no | — |
| 211 | #6129 | — | 2 | 4 | no | — |
| 212 | #6129 | — | 4 | 2 | no | — |
| 213 | #6129 | — | 4 | 1 | no | — |
| 214 | #6129 | — | 4 | 4 | no | — |
| 215 | #6129 | — | 4 | 4 | no | — |
| 216 | #6129 | — | 4 | 2 | no | — |
| 217 | #6129 | — | 4 | 2 | no | — |
| 218 | D4×D13 | — | 2 | 2 | no | — |
| 219 | D4×D13 | — | 4 | 1 | no | — |
| 220 | D4×D13 | — | 4 | 2 | no | — |
| 221 | D4×D13 | — | 4 | 2 | no | — |
| 222 | #6127 | — | 2 | 1 | no | — |
| 223 | #6127 | — | 2 | 1 | no | — |
| 224 | #6127 | — | 2 | 1 | no | — |
| 225 | #6127 | — | 2 | 1 | no | — |
| 226 | #6127 | — | 2 | 1 | no | — |
| 227 | #6127 | — | 2 | 1 | no | — |
| 228 | #6127 | — | 2 | 1 | no | — |
| 229 | #6127 | — | 2 | 1 | no | — |
| 230 | #6127 | — | 4 | 2 | no | — |
| 231 | #6127 | — | 4 | 2 | no | — |
| 232 | #6127 | — | 4 | 1 | no | — |
| 233 | #6127 | — | 4 | 1 | no | — |
| 234 | #6127 | — | 4 | 2 | no | — |
| 235 | #6127 | — | 4 | 2 | no | — |
| 236 | C2×D52 | — | 4 | 1 | no | — |
| 237 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 238 | C2×D52 | #41 | 1 | 1 | yes | characteristic |
| 239 | C2×C4×D13 | — | 2 | 2 | no | — |
| 240 | C2×C4×D13 | — | 2 | 1 | no | — |
| 241 | C2×C4×D13 | — | 4 | 2 | no | — |
| 242 | C2×C4×D13 | C2×D4 | 1 | 2 | yes | — |
| 243 | C2×Dic26 | — | 2 | 1 | no | — |
| 244 | C2×Dic26 | — | 2 | 1 | no | — |
| 245 | C2×Dic26 | — | 2 | 1 | no | — |
| 246 | C2×Dic26 | — | 2 | 2 | no | — |
| 247 | C2×Dic26 | — | 4 | 2 | no | — |
| 248 | C2×Dic26 | — | 4 | 2 | no | — |
| 249 | C2×Dic26 | — | 4 | 1 | no | — |
| 250 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 252 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 253 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 254 | C2×Dic26 | #41 | 1 | 1 | yes | characteristic |
| 255 | C13×Q16 | — | 2 | 2 | no | — |
| 256 | C13×Q16 | — | 4 | 2 | no | — |
| 257 | C13×SD16 | — | 2 | 2 | no | — |
| 258 | C13×SD16 | — | 2 | 2 | no | — |
| 259 | C13×SD16 | — | 4 | 2 | no | — |
| 260 | C13×D8 | — | 2 | 2 | no | — |
| 261 | C13×M16 | — | 2 | 1 | no | — |
| 262 | C13×M16 | — | 2 | 1 | no | — |
| 263 | C13×M16 | — | 2 | 1 | no | — |
| 264 | C13×M16 | — | 2 | 1 | no | — |
| 265 | C2×C8×C13 | — | 2 | 1 | no | — |
| 266 | C2×C8×C13 | C2×D4 | 1 | 2 | yes | — |
| 267 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 268 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 269 | C13×C4⋊C4 | — | 4 | 2 | no | — |
| 270 | C13×C22⋊C4 | — | 2 | 1 | no | — |
| 271 | C13×C22⋊C4 | — | 4 | 2 | no | — |
| 272 | C13×C22⋊C4 | C2×D4 | 1 | 2 | yes | — |
| 273 | C42×C13 | — | 2 | 1 | no | — |
| 274 | C42×C13 | — | 2 | 1 | no | — |
| 275 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 276 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 277 | C22⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 278 | #6107 | — | 2 | 2 | no | — |
| 279 | #6107 | — | 2 | 4 | no | — |
| 280 | #6107 | — | 4 | 4 | no | — |
| 281 | #6106 | — | 2 | 2 | no | — |
| 282 | #6105 | — | 2 | 2 | no | — |
| 283 | #6105 | — | 2 | 4 | no | — |
| 284 | #6104 | — | 2 | 2 | no | — |
| 285 | #6103 | — | 4 | 2 | no | — |
| 286 | #6103 | — | 4 | 2 | no | — |
| 287 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 288 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 289 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 290 | #6101 | — | 4 | 2 | no | — |
| 291 | #6101 | — | 4 | 2 | no | — |
| 292 | #6101 | — | 4 | 2 | no | — |
| 293 | #6101 | — | 4 | 2 | no | — |
| 294 | C4×Dic13 | — | 2 | 1 | no | — |
| 295 | C4×Dic13 | — | 2 | 1 | no | — |
| 296 | C4×Dic13 | — | 2 | 1 | no | — |
| 297 | C4×Dic13 | — | 4 | 2 | no | — |
| 298 | C4×Dic13 | — | 4 | 2 | no | — |
| 299 | #6099 | — | 2 | 1 | no | — |
| 300 | #6099 | — | 2 | 1 | no | — |
| 301 | C2×#1055 | — | 2 | 1 | no | — |
| 302 | C2×#1055 | — | 2 | 1 | no | — |
| 303 | C2×#1055 | — | 2 | 1 | no | — |
| 304 | C2×#1055 | C2×D4 | 1 | 2 | yes | — |
| 305 | Dic52 | — | 2 | 4 | no | — |
| 306 | #6095 | — | 2 | 4 | no | — |
| 307 | #6094 | — | 2 | 4 | no | — |
| 308 | C8×D13 | — | 2 | 4 | no | — |
| 309 | #3586 | — | 13 | 1 | no | — |
| 310 | #3044 | — | 13 | 1 | no | — |
| 311 | #3044 | — | 13 | 1 | no | — |
| 312 | #3028 | — | 13 | 1 | no | — |
| 313 | #3011 | — | 13 | 1 | no | — |
| 314 | #2884 | — | 13 | 1 | no | — |
| 315 | #2053 | — | 13 | 1 | no | — |
| 316 | #2053 | — | 13 | 1 | no | — |
| 317 | #2009 | — | 13 | 1 | no | — |
| 318 | #2009 | D13 | 1 | 1 | yes | characteristic, complemented |
| 319 | #1909 | — | 13 | 1 | no | — |
| 320 | #1905 | — | 13 | 1 | no | — |
| 321 | #1905 | — | 13 | 1 | no | — |
| 322 | #1868 | — | 13 | 1 | no | — |
| 323 | #1794 | — | 13 | 1 | no | — |
| 324 | C23×C13 | — | 2 | 1 | no | — |
| 325 | C23×C13 | — | 2 | 1 | no | — |
| 326 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 327 | C22×D13 | — | 2 | 1 | no | — |
| 328 | C22×D13 | — | 4 | 2 | no | — |
| 329 | C22×D13 | #121 | 1 | 2 | yes | — |
| 330 | Q8×C13 | — | 2 | 1 | no | — |
| 331 | Q8×C13 | — | 2 | 1 | no | — |
| 332 | Q8×C13 | — | 2 | 1 | no | — |
| 333 | Q8×C13 | — | 2 | 1 | no | — |
| 334 | Q8×C13 | — | 4 | 1 | no | — |
| 335 | Q8×C13 | — | 4 | 1 | no | — |
| 336 | Q8×C13 | — | 4 | 1 | no | — |
| 337 | Q8×C13 | — | 4 | 1 | no | — |
| 338 | D4×C13 | — | 2 | 1 | no | — |
| 339 | D4×C13 | — | 2 | 1 | no | — |
| 340 | D4×C13 | — | 2 | 1 | no | — |
| 341 | D4×C13 | — | 2 | 1 | no | — |
| 342 | D4×C13 | — | 4 | 1 | no | — |
| 343 | D4×C13 | — | 4 | 1 | no | — |
| 344 | D4×C13 | — | 4 | 1 | no | — |
| 345 | D4×C13 | — | 4 | 1 | no | — |
| 346 | C2×C4×C13 | — | 2 | 1 | no | — |
| 347 | C2×C4×C13 | — | 2 | 2 | no | — |
| 348 | C2×C4×C13 | — | 2 | 1 | no | — |
| 349 | C2×C4×C13 | — | 4 | 1 | no | — |
| 350 | C2×C4×C13 | — | 4 | 1 | no | — |
| 351 | C2×C4×C13 | — | 4 | 1 | no | — |
| 352 | C2×C4×C13 | — | 4 | 1 | no | — |
| 353 | C2×C4×C13 | — | 4 | 1 | no | — |
| 354 | C2×C4×C13 | — | 4 | 1 | no | — |
| 355 | C2×C4×C13 | — | 4 | 1 | no | — |
| 356 | C2×C4×C13 | — | 4 | 1 | no | — |
| 357 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 358 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 359 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 360 | C2×C4×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 361 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 362 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 363 | C22⋊D13 | — | 2 | 2 | no | — |
| 364 | C22⋊D13 | — | 2 | 2 | no | — |
| 365 | C22⋊D13 | — | 4 | 4 | no | — |
| 366 | C22⋊D13 | — | 4 | 2 | no | — |
| 367 | C22⋊D13 | — | 4 | 2 | no | — |
| 368 | C22⋊D13 | — | 4 | 1 | no | — |
| 369 | C22⋊D13 | — | 4 | 1 | no | — |
| 370 | C2×Dic13 | — | 2 | 2 | no | — |
| 371 | C2×Dic13 | — | 2 | 2 | no | — |
| 372 | C2×Dic13 | — | 2 | 2 | no | — |
| 373 | C2×Dic13 | — | 2 | 2 | no | — |
| 374 | C2×Dic13 | — | 2 | 1 | no | — |
| 375 | C2×Dic13 | — | 4 | 4 | no | — |
| 376 | C2×Dic13 | — | 4 | 2 | no | — |
| 377 | C2×Dic13 | — | 4 | 1 | no | — |
| 378 | C2×Dic13 | — | 4 | 1 | no | — |
| 379 | C2×Dic13 | #121 | 1 | 2 | yes | — |
| 380 | D52 | — | 2 | 1 | no | — |
| 381 | D52 | — | 2 | 1 | no | — |
| 382 | D52 | — | 2 | 1 | no | — |
| 383 | D52 | — | 2 | 1 | no | — |
| 384 | D52 | — | 4 | 2 | no | — |
| 385 | C4×D13 | — | 2 | 2 | no | — |
| 386 | C4×D13 | — | 2 | 2 | no | — |
| 387 | C4×D13 | — | 4 | 4 | no | — |
| 388 | C4×D13 | — | 4 | 2 | no | — |
| 389 | C4×D13 | — | 4 | 2 | no | — |
| 390 | C4×D13 | — | 4 | 1 | no | — |
| 391 | C4×D13 | — | 4 | 1 | no | — |
| 392 | Dic26 | — | 2 | 2 | no | — |
| 393 | Dic26 | — | 2 | 2 | no | — |
| 394 | Dic26 | — | 2 | 2 | no | — |
| 395 | Dic26 | — | 2 | 1 | no | — |
| 396 | Dic26 | — | 2 | 1 | no | — |
| 397 | Dic26 | — | 2 | 1 | no | — |
| 398 | Dic26 | — | 2 | 1 | no | — |
| 399 | Dic26 | — | 4 | 4 | no | — |
| 400 | Dic26 | — | 4 | 2 | no | — |
| 401 | Dic26 | #120 | 1 | 4 | yes | — |
| 402 | C8×C13 | — | 2 | 2 | no | — |
| 403 | C8×C13 | — | 4 | 1 | no | — |
| 404 | #1055 | — | 2 | 2 | no | — |
| 405 | #1055 | — | 4 | 1 | no | — |
| 406 | #585 | — | 13 | 1 | no | — |
| 407 | C2×2−1+4 | — | 13 | 1 | no | — |
| 408 | #578 | — | 26 | 2 | no | — |
| 409 | #578 | — | 26 | 2 | no | — |
| 410 | #577 | — | 26 | 2 | no | — |
| 411 | #577 | — | 26 | 2 | no | — |
| 412 | #575 | — | 13 | 1 | no | — |
| 413 | #575 | — | 26 | 2 | no | — |
| 414 | #575 | C2×D13 | 1 | 1 | yes | characteristic |
| 415 | C2×#137 | — | 13 | 1 | no | — |
| 416 | C2×#137 | — | 13 | 1 | no | — |
| 417 | C2×#137 | — | 26 | 2 | no | — |
| 418 | C2×#137 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 419 | C22×Q16 | — | 13 | 1 | no | — |
| 420 | #568 | — | 13 | 1 | no | — |
| 421 | #536 | — | 13 | 1 | no | — |
| 422 | #536 | — | 13 | 1 | no | — |
| 423 | #536 | C2×D13 | 1 | 1 | yes | characteristic |
| 424 | #519 | — | 13 | 1 | no | — |
| 425 | #519 | — | 13 | 1 | no | — |
| 426 | #464 | — | 26 | 2 | no | — |
| 427 | #464 | — | 26 | 2 | no | — |
| 428 | #462 | — | 26 | 2 | no | — |
| 429 | #462 | — | 26 | 2 | no | — |
| 430 | #458 | — | 26 | 4 | no | — |
| 431 | #452 | — | 26 | 2 | no | — |
| 432 | #451 | — | 26 | 2 | no | — |
| 433 | #424 | — | 13 | 1 | no | — |
| 434 | #424 | — | 13 | 1 | no | — |
| 435 | #421 | — | 13 | 1 | no | — |
| 436 | #421 | C2×D13 | 1 | 1 | yes | characteristic |
| 437 | #419 | — | 13 | 1 | no | — |
| 438 | #419 | — | 13 | 1 | no | — |
| 439 | #419 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 440 | #416 | — | 13 | 1 | no | — |
| 441 | #416 | — | 13 | 1 | no | — |
| 442 | #416 | — | 13 | 1 | no | — |
| 443 | #410 | — | 13 | 1 | no | — |
| 444 | #410 | — | 13 | 1 | no | — |
| 445 | #410 | — | 13 | 1 | no | — |
| 446 | #410 | — | 13 | 1 | no | — |
| 447 | #410 | — | 13 | 1 | no | — |
| 448 | #410 | — | 26 | 4 | no | — |
| 449 | #410 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 450 | #408 | — | 13 | 1 | no | — |
| 451 | #344 | — | 13 | 1 | no | — |
| 452 | #344 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 453 | H(3,ℤ/4) | — | 13 | 1 | no | — |
| 454 | H(3,ℤ/4) | — | 13 | 1 | no | — |
| 455 | C22×C13 | — | 4 | 1 | no | — |
| 456 | C22×C13 | — | 4 | 1 | no | — |
| 457 | C22×C13 | — | 4 | 1 | no | — |
| 458 | C22×C13 | — | 8 | 1 | no | — |
| 459 | C22×C13 | — | 8 | 1 | no | — |
| 460 | C22×C13 | C2×#121 | 1 | 1 | yes | characteristic |
| 461 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 462 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 463 | C2×D13 | — | 2 | 2 | no | — |
| 464 | C2×D13 | — | 4 | 2 | no | — |
| 465 | C2×D13 | — | 4 | 1 | no | — |
| 466 | C2×D13 | — | 8 | 1 | no | — |
| 467 | C2×D13 | — | 16 | 2 | no | — |
| 468 | C4×C13 | — | 4 | 2 | no | — |
| 469 | C4×C13 | — | 4 | 1 | no | — |
| 470 | C4×C13 | — | 4 | 1 | no | — |
| 471 | C4×C13 | — | 8 | 1 | no | — |
| 472 | C4×C13 | — | 8 | 1 | no | — |
| 473 | C4×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 474 | C4×C13 | #534 | 1 | 1 | yes | characteristic |
| 475 | C4×C13 | #546 | 1 | 1 | yes | characteristic |
| 476 | C4×C13 | #546 | 1 | 1 | yes | characteristic |
| 477 | Dic13 | — | 2 | 4 | no | — |
| 478 | Dic13 | — | 2 | 2 | no | — |
| 479 | Dic13 | — | 4 | 2 | no | — |
| 480 | Dic13 | — | 4 | 1 | no | — |
| 481 | Dic13 | — | 8 | 1 | no | — |
| 482 | Dic13 | — | 8 | 1 | no | — |
| 483 | 2−1+4 | — | 26 | 2 | no | — |
| 484 | 2−1+4 | — | 26 | 2 | no | — |
| 485 | 2−1+4 | — | 26 | 1 | no | — |
| 486 | 2−1+4 | — | 26 | 1 | no | — |
| 487 | 2−1+4 | — | 26 | 1 | no | — |
| 488 | 2−1+4 | — | 52 | 1 | no | — |
| 489 | 2−1+4 | — | 52 | 1 | no | — |
| 490 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 491 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 492 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 493 | H(5,𝔽2) | — | 26 | 1 | no | — |
| 494 | C2×#41 | — | 13 | 1 | no | — |
| 495 | C2×#41 | — | 13 | 2 | no | — |
| 496 | C2×#41 | — | 13 | 1 | no | — |
| 497 | C2×#41 | — | 26 | 1 | no | — |
| 498 | C2×#41 | — | 26 | 2 | no | — |
| 499 | C2×#41 | — | 26 | 2 | no | — |
| 500 | C2×#41 | — | 52 | 1 | no | — |
| 501 | C2×#41 | — | 52 | 1 | no | — |
| 502 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 503 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 504 | C22×Q8 | — | 13 | 2 | no | — |
| 505 | C22×Q8 | — | 13 | 1 | no | — |
| 506 | C22×Q8 | — | 26 | 1 | no | — |
| 507 | C22×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 508 | #137 | — | 2 | 1 | no | — |
| 509 | #137 | — | 2 | 1 | no | — |
| 510 | #137 | — | 4 | 1 | no | — |
| 511 | #137 | — | 4 | 1 | no | — |
| 512 | #137 | — | 26 | 2 | no | — |
| 513 | #137 | — | 26 | 2 | no | — |
| 514 | #137 | — | 26 | 4 | no | — |
| 515 | #137 | — | 26 | 4 | no | — |
| 516 | #137 | — | 26 | 4 | no | — |
| 517 | #137 | — | 26 | 2 | no | — |
| 518 | #137 | — | 26 | 2 | no | — |
| 519 | #137 | — | 26 | 1 | no | — |
| 520 | #137 | — | 26 | 1 | no | — |
| 521 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 522 | AGL(1,ℤ/8) | — | 2 | 1 | no | — |
| 523 | AGL(1,ℤ/8) | — | 26 | 4 | no | — |
| 524 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 525 | AGL(1,ℤ/8) | — | 26 | 1 | no | — |
| 526 | #135 | — | 2 | 2 | no | — |
| 527 | #135 | — | 26 | 2 | no | — |
| 528 | #135 | — | 26 | 4 | no | — |
| 529 | #135 | — | 26 | 4 | no | — |
| 530 | C2×Q16 | — | 2 | 1 | no | — |
| 531 | C2×Q16 | — | 13 | 2 | no | — |
| 532 | C2×Q16 | — | 13 | 2 | no | — |
| 533 | C2×Q16 | — | 26 | 4 | no | — |
| 534 | C2×Q16 | — | 26 | 2 | no | — |
| 535 | C2×Q16 | — | 26 | 2 | no | — |
| 536 | C2×Q16 | — | 26 | 2 | no | — |
| 537 | C2×SD16 | — | 2 | 1 | no | — |
| 538 | C2×SD16 | — | 13 | 2 | no | — |
| 539 | C2×SD16 | — | 13 | 2 | no | — |
| 540 | C2×SD16 | — | 26 | 4 | no | — |
| 541 | #131 | — | 26 | 2 | no | — |
| 542 | #131 | — | 26 | 2 | no | — |
| 543 | C2×M16 | — | 13 | 1 | no | — |
| 544 | C2×M16 | — | 26 | 2 | no | — |
| 545 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 546 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 547 | C22×C8 | — | 13 | 1 | no | — |
| 548 | C4⋊Q8 | — | 2 | 1 | no | — |
| 549 | C4⋊Q8 | — | 26 | 1 | no | — |
| 550 | C4⋊Q8 | — | 26 | 1 | no | — |
| 551 | #124 | — | 2 | 1 | no | — |
| 552 | #124 | — | 26 | 1 | no | — |
| 553 | #124 | — | 26 | 1 | no | — |
| 554 | #123 | — | 2 | 2 | no | — |
| 555 | #123 | — | 26 | 2 | no | — |
| 556 | #123 | — | 26 | 2 | no | — |
| 557 | C22⋊Q8 | — | 4 | 1 | no | — |
| 558 | C22⋊Q8 | — | 26 | 2 | no | — |
| 559 | C22⋊Q8 | — | 52 | 1 | no | — |
| 560 | C4×Q8 | — | 26 | 2 | no | — |
| 561 | C4×Q8 | — | 26 | 2 | no | — |
| 562 | C4×Q8 | — | 52 | 1 | no | — |
| 563 | C4×Q8 | — | 52 | 1 | no | — |
| 564 | #117 | — | 13 | 1 | no | — |
| 565 | #117 | — | 13 | 1 | no | — |
| 566 | #117 | — | 13 | 1 | no | — |
| 567 | #117 | — | 26 | 2 | no | — |
| 568 | #117 | — | 26 | 2 | no | — |
| 569 | #117 | C22×D13 | 1 | 1 | yes | characteristic |
| 570 | #117 | C22×D13 | 1 | 1 | yes | characteristic |
| 571 | C4⋊C8 | — | 26 | 2 | no | — |
| 572 | C4⋊C8 | — | 26 | 2 | no | — |
| 573 | #104 | — | 4 | 1 | no | — |
| 574 | #104 | — | 52 | 1 | no | — |
| 575 | #103 | — | 2 | 2 | no | — |
| 576 | #103 | — | 26 | 1 | no | — |
| 577 | #103 | — | 26 | 2 | no | — |
| 578 | #103 | — | 26 | 2 | no | — |
| 579 | #103 | — | 26 | 1 | no | — |
| 580 | #103 | — | 26 | 1 | no | — |
| 581 | #102 | — | 26 | 1 | no | — |
| 582 | #102 | — | 26 | 1 | no | — |
| 583 | #102 | — | 26 | 1 | no | — |
| 584 | #99 | — | 2 | 2 | no | — |
| 585 | #99 | — | 13 | 4 | no | — |
| 586 | #99 | — | 26 | 2 | no | — |
| 587 | #99 | — | 26 | 2 | no | — |
| 588 | #99 | — | 26 | 2 | no | — |
| 589 | #99 | — | 26 | 2 | no | — |
| 590 | C22⋊C8 | — | 26 | 2 | no | — |
| 591 | C2×C13 | — | 2 | 1 | no | — |
| 592 | C2×C13 | — | 2 | 1 | no | — |
| 593 | C2×C13 | — | 2 | 1 | no | — |
| 594 | C2×C13 | — | 8 | 1 | no | — |
| 595 | C2×C13 | — | 8 | 1 | no | — |
| 596 | C2×C13 | #2410 | 1 | 1 | yes | characteristic |
| 597 | D13 | — | 4 | 2 | no | — |
| 598 | D13 | — | 8 | 1 | no | — |
| 599 | #41 | — | 2 | 1 | no | — |
| 600 | #41 | — | 2 | 1 | no | — |
| 601 | #41 | — | 2 | 1 | no | — |
| 602 | #41 | — | 2 | 1 | no | — |
| 603 | #41 | — | 2 | 1 | no | — |
| 604 | #41 | — | 2 | 1 | no | — |
| 605 | #41 | — | 2 | 1 | no | — |
| 606 | #41 | — | 2 | 1 | no | — |
| 607 | #41 | — | 26 | 1 | no | — |
| 608 | #41 | — | 26 | 1 | no | — |
| 609 | #41 | — | 26 | 1 | no | — |
| 610 | #41 | — | 26 | 1 | no | — |
| 611 | #41 | — | 26 | 4 | no | — |
| 612 | #41 | — | 26 | 2 | no | — |
| 613 | #41 | — | 26 | 2 | no | — |
| 614 | #41 | — | 26 | 1 | no | — |
| 615 | #41 | — | 26 | 1 | no | — |
| 616 | #41 | — | 26 | 1 | no | — |
| 617 | #41 | — | 26 | 1 | no | — |
| 618 | #41 | — | 52 | 2 | no | — |
| 619 | #41 | — | 52 | 2 | no | — |
| 620 | #41 | — | 52 | 2 | no | — |
| 621 | #41 | — | 52 | 2 | no | — |
| 622 | #41 | — | 52 | 1 | no | — |
| 623 | #41 | — | 52 | 1 | no | — |
| 624 | #41 | — | 52 | 2 | no | — |
| 625 | #41 | — | 52 | 2 | no | — |
| 626 | #41 | — | 52 | 4 | no | — |
| 627 | #41 | — | 52 | 4 | no | — |
| 628 | #41 | — | 52 | 2 | no | — |
| 629 | #41 | — | 52 | 1 | no | — |
| 630 | #41 | — | 52 | 1 | no | — |
| 631 | C2×Q8 | — | 2 | 1 | no | — |
| 632 | C2×Q8 | — | 2 | 1 | no | — |
| 633 | C2×Q8 | — | 2 | 1 | no | — |
| 634 | C2×Q8 | — | 2 | 1 | no | — |
| 635 | C2×Q8 | — | 2 | 1 | no | — |
| 636 | C2×Q8 | — | 2 | 1 | no | — |
| 637 | C2×Q8 | — | 13 | 1 | no | — |
| 638 | C2×Q8 | — | 13 | 2 | no | — |
| 639 | C2×Q8 | — | 13 | 2 | no | — |
| 640 | C2×Q8 | — | 13 | 2 | no | — |
| 641 | C2×Q8 | — | 13 | 1 | no | — |
| 642 | C2×Q8 | — | 26 | 2 | no | — |
| 643 | C2×Q8 | — | 26 | 1 | no | — |
| 644 | C2×Q8 | — | 26 | 1 | no | — |
| 645 | C2×Q8 | — | 26 | 1 | no | — |
| 646 | C2×Q8 | — | 26 | 4 | no | — |
| 647 | C2×Q8 | — | 26 | 2 | no | — |
| 648 | C2×Q8 | — | 52 | 2 | no | — |
| 649 | C2×Q8 | — | 52 | 2 | no | — |
| 650 | C2×Q8 | — | 52 | 1 | no | — |
| 651 | C2×Q8 | — | 52 | 2 | no | — |
| 652 | C2×Q8 | — | 52 | 1 | no | — |
| 653 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 654 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 655 | C2×D4 | — | 2 | 1 | no | — |
| 656 | C2×D4 | — | 2 | 1 | no | — |
| 657 | C2×D4 | — | 13 | 2 | no | — |
| 658 | C2×D4 | — | 13 | 1 | no | — |
| 659 | C2×D4 | — | 13 | 1 | no | — |
| 660 | C2×D4 | — | 26 | 2 | no | — |
| 661 | C2×D4 | — | 26 | 2 | no | — |
| 662 | C2×D4 | — | 26 | 1 | no | — |
| 663 | C2×D4 | — | 52 | 1 | no | — |
| 664 | C2×D4 | — | 52 | 1 | no | — |
| 665 | C2×D4 | — | 52 | 2 | no | — |
| 666 | C2×D4 | — | 52 | 2 | no | — |
| 667 | C2×D4 | — | 52 | 2 | no | — |
| 668 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 669 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 670 | C22×C4 | — | 2 | 1 | no | — |
| 671 | C22×C4 | — | 2 | 1 | no | — |
| 672 | C22×C4 | — | 2 | 1 | no | — |
| 673 | C22×C4 | — | 13 | 2 | no | — |
| 674 | C22×C4 | — | 26 | 2 | no | — |
| 675 | C22×C4 | — | 26 | 2 | no | — |
| 676 | C22×C4 | — | 26 | 1 | no | — |
| 677 | C22×C4 | — | 26 | 1 | no | — |
| 678 | C22×C4 | — | 52 | 2 | no | — |
| 679 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 680 | Q16 | — | 2 | 2 | no | — |
| 681 | Q16 | — | 4 | 2 | no | — |
| 682 | Q16 | — | 26 | 4 | no | — |
| 683 | Q16 | — | 26 | 4 | no | — |
| 684 | Q16 | — | 26 | 2 | no | — |
| 685 | Q16 | — | 52 | 4 | no | — |
| 686 | SD16 | — | 2 | 2 | no | — |
| 687 | SD16 | — | 2 | 2 | no | — |
| 688 | SD16 | — | 4 | 2 | no | — |
| 689 | SD16 | — | 26 | 4 | no | — |
| 690 | SD16 | — | 26 | 4 | no | — |
| 691 | SD16 | — | 26 | 2 | no | — |
| 692 | SD16 | — | 26 | 2 | no | — |
| 693 | D8 | — | 2 | 2 | no | — |
| 694 | D8 | — | 26 | 2 | no | — |
| 695 | M16 | — | 2 | 1 | no | — |
| 696 | M16 | — | 2 | 1 | no | — |
| 697 | M16 | — | 2 | 1 | no | — |
| 698 | M16 | — | 2 | 1 | no | — |
| 699 | M16 | — | 26 | 4 | no | — |
| 700 | M16 | — | 26 | 1 | no | — |
| 701 | M16 | — | 26 | 1 | no | — |
| 702 | C2×C8 | — | 2 | 1 | no | — |
| 703 | C2×C8 | — | 13 | 2 | no | — |
| 704 | C2×C8 | — | 26 | 4 | no | — |
| 705 | C2×C8 | — | 26 | 1 | no | — |
| 706 | C2×C8 | — | 26 | 1 | no | — |
| 707 | C2×C8 | — | 26 | 1 | no | — |
| 708 | C2×C8 | D4×D13 | 1 | 2 | yes | — |
| 709 | C4⋊C4 | — | 2 | 1 | no | — |
| 710 | C4⋊C4 | — | 2 | 1 | no | — |
| 711 | C4⋊C4 | — | 4 | 2 | no | — |
| 712 | C4⋊C4 | — | 26 | 1 | no | — |
| 713 | C4⋊C4 | — | 26 | 1 | no | — |
| 714 | C4⋊C4 | — | 26 | 1 | no | — |
| 715 | C4⋊C4 | — | 52 | 2 | no | — |
| 716 | C4⋊C4 | — | 52 | 2 | no | — |
| 717 | C4⋊C4 | — | 52 | 2 | no | — |
| 718 | C4⋊C4 | — | 52 | 2 | no | — |
| 719 | C22⋊C4 | — | 2 | 1 | no | — |
| 720 | C22⋊C4 | — | 4 | 2 | no | — |
| 721 | C22⋊C4 | — | 13 | 2 | no | — |
| 722 | C22⋊C4 | — | 26 | 1 | no | — |
| 723 | C22⋊C4 | — | 26 | 1 | no | — |
| 724 | C22⋊C4 | — | 52 | 2 | no | — |
| 725 | C22⋊C4 | — | 52 | 2 | no | — |
| 726 | C22⋊C4 | D4×D13 | 1 | 2 | yes | — |
| 727 | C42 | — | 2 | 1 | no | — |
| 728 | C42 | — | 2 | 1 | no | — |
| 729 | C42 | — | 26 | 1 | no | — |
| 730 | C42 | — | 26 | 1 | no | — |
| 731 | C42 | — | 26 | 1 | no | — |
| 732 | C42 | — | 52 | 2 | no | — |
| 733 | C42 | — | 52 | 2 | no | — |
| 734 | C13 | #24411 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 735 | C23 | — | 2 | 1 | no | — |
| 736 | C23 | — | 2 | 1 | no | — |
| 737 | C23 | — | 13 | 2 | no | — |
| 738 | C23 | — | 26 | 1 | no | — |
| 739 | C23 | — | 52 | 2 | no | — |
| 740 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 741 | Q8 | — | 2 | 1 | no | — |
| 742 | Q8 | — | 2 | 1 | no | — |
| 743 | Q8 | — | 2 | 1 | no | — |
| 744 | Q8 | — | 2 | 1 | no | — |
| 745 | Q8 | — | 4 | 1 | no | — |
| 746 | Q8 | — | 4 | 1 | no | — |
| 747 | Q8 | — | 4 | 1 | no | — |
| 748 | Q8 | — | 4 | 1 | no | — |
| 749 | Q8 | — | 13 | 4 | no | — |
| 750 | Q8 | — | 26 | 2 | no | — |
| 751 | Q8 | — | 26 | 2 | no | — |
| 752 | Q8 | — | 26 | 1 | no | — |
| 753 | Q8 | — | 26 | 2 | no | — |
| 754 | Q8 | — | 26 | 1 | no | — |
| 755 | Q8 | — | 26 | 1 | no | — |
| 756 | Q8 | — | 26 | 1 | no | — |
| 757 | Q8 | — | 52 | 4 | no | — |
| 758 | Q8 | — | 52 | 2 | no | — |
| 759 | D4 | — | 2 | 1 | no | — |
| 760 | D4 | — | 2 | 1 | no | — |
| 761 | D4 | — | 2 | 1 | no | — |
| 762 | D4 | — | 2 | 1 | no | — |
| 763 | D4 | — | 4 | 1 | no | — |
| 764 | D4 | — | 4 | 1 | no | — |
| 765 | D4 | — | 4 | 1 | no | — |
| 766 | D4 | — | 4 | 1 | no | — |
| 767 | D4 | — | 26 | 2 | no | — |
| 768 | D4 | — | 26 | 2 | no | — |
| 769 | D4 | — | 26 | 1 | no | — |
| 770 | D4 | — | 26 | 1 | no | — |
| 771 | D4 | — | 26 | 1 | no | — |
| 772 | D4 | — | 26 | 1 | no | — |
| 773 | D4 | — | 52 | 2 | no | — |
| 774 | D4 | — | 52 | 4 | no | — |
| 775 | D4 | — | 52 | 2 | no | — |
| 776 | D4 | — | 52 | 2 | no | — |
| 777 | D4 | — | 52 | 1 | no | — |
| 778 | D4 | — | 52 | 1 | no | — |
| 779 | C2×C4 | — | 2 | 2 | no | — |
| 780 | C2×C4 | — | 2 | 1 | no | — |
| 781 | C2×C4 | — | 2 | 1 | no | — |
| 782 | C2×C4 | — | 4 | 1 | no | — |
| 783 | C2×C4 | — | 4 | 1 | no | — |
| 784 | C2×C4 | — | 4 | 1 | no | — |
| 785 | C2×C4 | — | 4 | 1 | no | — |
| 786 | C2×C4 | — | 4 | 1 | no | — |
| 787 | C2×C4 | — | 4 | 1 | no | — |
| 788 | C2×C4 | — | 4 | 1 | no | — |
| 789 | C2×C4 | — | 4 | 1 | no | — |
| 790 | C2×C4 | — | 13 | 2 | no | — |
| 791 | C2×C4 | — | 26 | 2 | no | — |
| 792 | C2×C4 | — | 26 | 2 | no | — |
| 793 | C2×C4 | — | 26 | 2 | no | — |
| 794 | C2×C4 | — | 26 | 2 | no | — |
| 795 | C2×C4 | — | 26 | 2 | no | — |
| 796 | C2×C4 | — | 26 | 2 | no | — |
| 797 | C2×C4 | — | 26 | 1 | no | — |
| 798 | C2×C4 | — | 52 | 4 | no | — |
| 799 | C2×C4 | — | 52 | 2 | no | — |
| 800 | C2×C4 | — | 52 | 2 | no | — |
| 801 | C2×C4 | — | 52 | 4 | no | — |
| 802 | C2×C4 | — | 52 | 2 | no | — |
| 803 | C2×C4 | — | 52 | 1 | no | — |
| 804 | C2×C4 | — | 52 | 1 | no | — |
| 805 | C2×C4 | — | 52 | 1 | no | — |
| 806 | C2×C4 | — | 52 | 1 | no | — |
| 807 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 808 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 809 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 810 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 811 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 812 | C2×C4 | #41×D13 | 1 | 1 | yes | characteristic |
| 813 | C8 | — | 2 | 2 | no | — |
| 814 | C8 | — | 4 | 1 | no | — |
| 815 | C8 | — | 26 | 2 | no | — |
| 816 | C8 | — | 52 | 1 | no | — |
| 817 | C22 | — | 4 | 1 | no | — |
| 818 | C22 | — | 4 | 1 | no | — |
| 819 | C22 | — | 4 | 1 | no | — |
| 820 | C22 | — | 8 | 1 | no | — |
| 821 | C22 | — | 8 | 1 | no | — |
| 822 | C22 | — | 26 | 2 | no | — |
| 823 | C22 | — | 52 | 2 | no | — |
| 824 | C22 | — | 52 | 1 | no | — |
| 825 | C22 | — | 104 | 1 | no | — |
| 826 | C22 | — | 208 | 2 | no | — |
| 827 | C22 | #11719295 | 1 | 1 | yes | characteristic |
| 828 | C22 | D13×#121 | 1 | 1 | yes | characteristic |
| 829 | C22 | #11719422 | 1 | 1 | yes | characteristic |
| 830 | C4 | — | 4 | 2 | no | — |
| 831 | C4 | — | 4 | 1 | no | — |
| 832 | C4 | — | 4 | 1 | no | — |
| 833 | C4 | — | 8 | 1 | no | — |
| 834 | C4 | — | 8 | 1 | no | — |
| 835 | C4 | — | 26 | 2 | no | — |
| 836 | C4 | — | 26 | 4 | no | — |
| 837 | C4 | — | 52 | 2 | no | — |
| 838 | C4 | — | 52 | 1 | no | — |
| 839 | C4 | — | 104 | 1 | no | — |
| 840 | C4 | — | 104 | 1 | no | — |
| 841 | C4 | D13×#120 | 1 | 1 | yes | characteristic |
| 842 | C4 | #11719294 | 1 | 1 | yes | characteristic |
| 843 | C4 | #11719315 | 1 | 1 | yes | characteristic |
| 844 | C4 | #11719317 | 1 | 1 | yes | characteristic |
| 845 | C2 | — | 2 | 1 | no | — |
| 846 | C2 | — | 2 | 1 | no | — |
| 847 | C2 | — | 2 | 1 | no | — |
| 848 | C2 | — | 8 | 1 | no | — |
| 849 | C2 | — | 8 | 1 | no | — |
| 850 | C2 | — | 52 | 2 | no | — |
| 851 | C2 | — | 104 | 1 | no | — |
| 852 | C2 | #13118203 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13124365 | C2 | semidirect |
| 3. #13124362 | C2 | semidirect |
| 4. #13124241 | C2 | semidirect |
| 5. #13124130 | C2 | semidirect |
| 6. #13123298 | C2 | semidirect |
| 7. #13116141 | C2 | semidirect |
| 8. #13116139 | C2 | semidirect |
| 9. #13115894 | C2 | semidirect |
| 10. #13115355 | C2 | semidirect |
| 11. #13115329 | C2 | semidirect |
| 12. #13115327 | C2 | semidirect |
| 13. #13115123 | C2 | semidirect |
| 14. #13114798 | C2 | semidirect |
| 15. C13×#2009 | C2 | semidirect |
| 19. C2×C13×#137 | C22 | semidirect |
| 25. C22×#6107 | C22 | semidirect |
| 34. #11719221 | C22 | semidirect |
| 35. #11719221 | C22 | semidirect |
| 37. C13×#419 | C22 | semidirect |
| 38. C13×#410 | C22 | semidirect |
| 40. #11718901 | C22 | semidirect |
| 42. #11718894 | C22 | semidirect |
| 43. #11718886 | C22 | semidirect |
| 48. #11718781 | C22 | semidirect |
| 49. #11718780 | C22 | semidirect |
| 57. #11718660 | C22 | semidirect |
| 61. C13×#344 | C22 | semidirect |
| 62. #11718151 | C22 | semidirect |
| 63. #11718149 | C22 | semidirect |
| 64. #11718123 | C22 | semidirect |
| 318. #2009 | D13 | semidirect |
| 418. C2×#137 | C2×D13 | semidirect |
| 439. #419 | C2×D13 | semidirect |
| 449. #410 | C2×D13 | semidirect |
| 452. #344 | C2×D13 | semidirect |
| 734. C13 | #24411 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129620 | 2 |
| #13124365 | 2 |
| #13124362 | 2 |
| #13124241 | 2 |
| #13124130 | 2 |
| #13123298 | 2 |
| #13116141 | 2 |
| #13116139 | 2 |
| #13115894 | 2 |
| #13115355 | 2 |
| #13115329 | 2 |
| #13115327 | 2 |
| #13115123 | 2 |
| #13114798 | 2 |
| C13×#2009 | 2 |
| #24411 | 13 |