Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1724 conjugacy classes of subgroups.
The subgroup lattice has 732 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13129236 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13128701 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13127453 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13127273 | C2 | 1 | 4 | yes | maximal, complemented |
| 5 | #13127230 | C2 | 1 | 2 | yes | maximal, complemented |
| 6 | #13127176 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13126939 | C2 | 1 | 4 | yes | maximal, complemented |
| 8 | #13126777 | C2 | 1 | 2 | yes | maximal, complemented |
| 9 | #13126046 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13125974 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13125722 | C2 | 1 | 4 | yes | maximal, complemented |
| 12 | #13124958 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13124815 | C2 | 1 | 4 | yes | maximal, complemented |
| 14 | #13123911 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#3104 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C13×#533 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×C4×Q8×C13 | C22 | 1 | 1 | yes | characteristic |
| 18 | #11719521 | C22 | 1 | 2 | yes | — |
| 19 | #11719431 | C22 | 1 | 2 | yes | — |
| 20 | #11719431 | C22 | 1 | 2 | yes | — |
| 21 | #11719405 | — | 2 | 2 | no | — |
| 22 | #11719334 | — | 2 | 2 | no | — |
| 23 | #11719334 | C22 | 1 | 4 | yes | — |
| 24 | #11719290 | — | 2 | 1 | no | — |
| 25 | #11719289 | C22 | 1 | 2 | yes | — |
| 26 | #11719286 | C22 | 1 | 4 | yes | — |
| 27 | #11719284 | — | 2 | 1 | no | — |
| 28 | #11719284 | C22 | 1 | 2 | yes | — |
| 29 | #11719284 | C22 | 1 | 2 | yes | — |
| 30 | #11719282 | — | 2 | 1 | no | — |
| 31 | #11719282 | C22 | 1 | 2 | yes | — |
| 32 | #11719273 | — | 2 | 2 | no | — |
| 33 | #11719272 | — | 2 | 1 | no | — |
| 34 | #11719240 | — | 2 | 2 | no | — |
| 35 | #11719220 | — | 2 | 2 | no | — |
| 36 | #11719209 | C22 | 1 | 2 | yes | — |
| 37 | #11719184 | — | 2 | 2 | no | — |
| 38 | #11719182 | C22 | 1 | 1 | yes | characteristic |
| 39 | #11719182 | C22 | 1 | 1 | yes | characteristic |
| 40 | #11719175 | C22 | 1 | 1 | yes | characteristic |
| 41 | C13×#484 | C22 | 1 | 2 | yes | — |
| 42 | C13×#477 | C22 | 1 | 2 | yes | — |
| 43 | C13×#462 | C22 | 1 | 2 | yes | — |
| 44 | C13×#451 | C22 | 1 | 2 | yes | — |
| 45 | C4×C13×Q16 | C22 | 1 | 2 | yes | — |
| 46 | C4×C13×Q16 | C22 | 1 | 2 | yes | — |
| 47 | C13×#431 | C22 | 1 | 1 | yes | characteristic |
| 48 | #11718888 | C22 | 1 | 2 | yes | — |
| 49 | #11718850 | C22 | 1 | 4 | yes | — |
| 50 | #11718849 | C22 | 1 | 4 | yes | — |
| 51 | #11718848 | C22 | 1 | 4 | yes | — |
| 52 | #11718848 | C22 | 1 | 4 | yes | — |
| 53 | #11718743 | C22 | 1 | 2 | yes | — |
| 54 | #11718741 | C22 | 1 | 2 | yes | — |
| 55 | #11718706 | C22 | 1 | 4 | yes | — |
| 56 | #11718688 | C22 | 1 | 2 | yes | — |
| 57 | #11718687 | C22 | 1 | 4 | yes | — |
| 58 | #11718682 | C22 | 1 | 2 | yes | — |
| 59 | #11718682 | C22 | 1 | 2 | yes | — |
| 60 | #11718681 | C22 | 1 | 2 | yes | — |
| 61 | #11718628 | C22 | 1 | 2 | yes | — |
| 62 | #11718587 | C22 | 1 | 1 | yes | characteristic |
| 63 | #11718546 | C22 | 1 | 4 | yes | — |
| 64 | #11718543 | C22 | 1 | 4 | yes | — |
| 65 | #11718542 | C22 | 1 | 4 | yes | — |
| 66 | D13×#107 | C22 | 1 | 4 | yes | — |
| 67 | #11718508 | C22 | 1 | 4 | yes | — |
| 68 | #11718497 | C22 | 1 | 4 | yes | — |
| 69 | #11718476 | C22 | 1 | 4 | yes | — |
| 70 | #11718473 | C22 | 1 | 4 | yes | — |
| 71 | #11718470 | C22 | 1 | 4 | yes | — |
| 72 | #11718470 | C22 | 1 | 4 | yes | — |
| 73 | #11718468 | C22 | 1 | 4 | yes | — |
| 74 | #11718466 | C22 | 1 | 4 | yes | — |
| 75 | #11718465 | C22 | 1 | 4 | yes | — |
| 76 | #11718464 | C22 | 1 | 4 | yes | — |
| 77 | #11718398 | C22 | 1 | 4 | yes | — |
| 78 | #11718388 | C22 | 1 | 4 | yes | — |
| 79 | #11718355 | C22 | 1 | 1 | yes | characteristic |
| 80 | #11718355 | C22 | 1 | 1 | yes | characteristic |
| 81 | #11718349 | C22 | 1 | 2 | yes | — |
| 82 | C8×D52 | C22 | 1 | 2 | yes | — |
| 83 | #11718343 | C22 | 1 | 1 | yes | characteristic |
| 84 | #11718341 | C22 | 1 | 1 | yes | characteristic |
| 85 | C22×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 86 | C2×#6131 | — | 2 | 2 | no | — |
| 87 | C2×#6131 | C23 | 1 | 4 | yes | — |
| 88 | C2×#6127 | — | 2 | 1 | no | — |
| 89 | C2×#6127 | C23 | 1 | 2 | yes | — |
| 90 | C2×C13×Q16 | C23 | 1 | 2 | yes | — |
| 91 | C2×C13×Q16 | C23 | 1 | 2 | yes | — |
| 92 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 93 | C13×C4⋊Q8 | C23 | 1 | 1 | yes | characteristic |
| 94 | C13×#125 | — | 2 | 1 | no | — |
| 95 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 96 | C13×C22⋊Q8 | C23 | 1 | 2 | yes | — |
| 97 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 98 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 99 | C4×Q8×C13 | — | 2 | 1 | no | — |
| 100 | C4×Q8×C13 | C23 | 1 | 2 | yes | — |
| 101 | C4×Q8×C13 | C23 | 1 | 2 | yes | — |
| 102 | C4×Q8×C13 | C23 | 1 | 2 | yes | — |
| 103 | C13×#117 | — | 2 | 1 | no | — |
| 104 | C2×C13×C4⋊C4 | — | 2 | 1 | no | — |
| 105 | C2×C13×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 106 | C2×C42×C13 | — | 2 | 1 | no | — |
| 107 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 108 | #88201 | — | 2 | 2 | no | — |
| 109 | #88200 | — | 2 | 2 | no | — |
| 110 | #88200 | C23 | 1 | 4 | yes | — |
| 111 | #88200 | C23 | 1 | 4 | yes | — |
| 112 | #88200 | C23 | 1 | 4 | yes | — |
| 113 | #88198 | — | 2 | 2 | no | — |
| 114 | C2×#6106 | C23 | 1 | 4 | yes | — |
| 115 | #88184 | — | 2 | 1 | no | — |
| 116 | #88184 | D4 | 1 | 2 | yes | — |
| 117 | #88184 | D4 | 1 | 2 | yes | — |
| 118 | #88184 | C23 | 1 | 2 | yes | — |
| 119 | #88183 | — | 2 | 4 | no | — |
| 120 | C4×C22⋊D13 | — | 2 | 4 | no | — |
| 121 | #88180 | C23 | 1 | 2 | yes | — |
| 122 | #88178 | — | 2 | 1 | no | — |
| 123 | #88178 | — | 2 | 1 | no | — |
| 124 | C2×#6094 | C23 | 1 | 4 | yes | — |
| 125 | C2×C8×D13 | C23 | 1 | 4 | yes | — |
| 126 | #88152 | — | 2 | 4 | no | — |
| 127 | #88150 | — | 2 | 4 | no | — |
| 128 | #88150 | — | 2 | 4 | no | — |
| 129 | #88150 | — | 2 | 4 | no | — |
| 130 | #88149 | — | 2 | 2 | no | — |
| 131 | #88149 | — | 2 | 4 | no | — |
| 132 | #88149 | — | 2 | 4 | no | — |
| 133 | #88149 | C23 | 1 | 4 | yes | — |
| 134 | #88148 | — | 2 | 4 | no | — |
| 135 | #88148 | — | 2 | 4 | no | — |
| 136 | #88148 | — | 2 | 4 | no | — |
| 137 | #88147 | — | 2 | 2 | no | — |
| 138 | #88146 | C23 | 1 | 4 | yes | — |
| 139 | C4⋊C4×D13 | — | 2 | 2 | no | — |
| 140 | C4⋊C4×D13 | C23 | 1 | 4 | yes | — |
| 141 | C4⋊C4×D13 | C23 | 1 | 4 | yes | — |
| 142 | #88143 | — | 2 | 4 | no | — |
| 143 | #88141 | — | 2 | 2 | no | — |
| 144 | #88138 | — | 2 | 4 | no | — |
| 145 | #88138 | — | 2 | 4 | no | — |
| 146 | #88130 | — | 2 | 4 | no | — |
| 147 | #88129 | — | 2 | 2 | no | — |
| 148 | #88129 | — | 2 | 1 | no | — |
| 149 | #88129 | D4 | 1 | 2 | yes | — |
| 150 | #88128 | — | 2 | 2 | no | — |
| 151 | #88128 | D4 | 1 | 1 | yes | characteristic |
| 152 | #88128 | C23 | 1 | 1 | yes | characteristic |
| 153 | C4×D52 | — | 2 | 2 | no | — |
| 154 | C4×D52 | — | 2 | 2 | no | — |
| 155 | C4×D52 | — | 2 | 1 | no | — |
| 156 | C4×D52 | — | 2 | 2 | no | — |
| 157 | C4×D52 | C23 | 1 | 2 | yes | — |
| 158 | C4×D52 | C23 | 1 | 2 | yes | — |
| 159 | C4×D52 | C23 | 1 | 2 | yes | — |
| 160 | #88126 | — | 2 | 4 | no | — |
| 161 | #88124 | — | 2 | 2 | no | — |
| 162 | #88124 | — | 2 | 2 | no | — |
| 163 | #88124 | C23 | 1 | 2 | yes | — |
| 164 | #88123 | D4 | 1 | 1 | yes | characteristic |
| 165 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 166 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 167 | #88123 | C23 | 1 | 1 | yes | characteristic |
| 168 | C4×Dic26 | — | 2 | 1 | no | — |
| 169 | C4×Dic26 | — | 2 | 1 | no | — |
| 170 | C4×Dic26 | — | 2 | 2 | no | — |
| 171 | C13×#107 | C23 | 1 | 2 | yes | — |
| 172 | C13×#107 | C23 | 1 | 2 | yes | — |
| 173 | C13×C4⋊C8 | C23 | 1 | 2 | yes | — |
| 174 | C13×#103 | C23 | 1 | 2 | yes | — |
| 175 | C13×#103 | C23 | 1 | 2 | yes | — |
| 176 | C13×#103 | C23 | 1 | 2 | yes | — |
| 177 | C13×#103 | C23 | 1 | 2 | yes | — |
| 178 | C13×C22⋊C8 | C23 | 1 | 2 | yes | — |
| 179 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 180 | C4×C8×C13 | C23 | 1 | 1 | yes | characteristic |
| 181 | #88075 | C23 | 1 | 4 | yes | — |
| 182 | #88075 | C23 | 1 | 4 | yes | — |
| 183 | #88075 | C23 | 1 | 4 | yes | — |
| 184 | C22⋊#1055 | C23 | 1 | 2 | yes | — |
| 185 | #88061 | C23 | 1 | 4 | yes | — |
| 186 | #88061 | C23 | 1 | 4 | yes | — |
| 187 | #88060 | C23 | 1 | 4 | yes | — |
| 188 | #88060 | C23 | 1 | 4 | yes | — |
| 189 | #88058 | C23 | 1 | 4 | yes | — |
| 190 | #88057 | C23 | 1 | 4 | yes | — |
| 191 | #88049 | C23 | 1 | 4 | yes | — |
| 192 | #88048 | C23 | 1 | 4 | yes | — |
| 193 | #88047 | C23 | 1 | 4 | yes | — |
| 194 | #88047 | C23 | 1 | 4 | yes | — |
| 195 | C4⋊#1055 | C23 | 1 | 2 | yes | — |
| 196 | #88043 | C23 | 1 | 2 | yes | — |
| 197 | #61810 | — | 13 | 1 | no | maximal, Sylow |
| 198 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 199 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 200 | C2×Q8×C13 | — | 4 | 2 | no | — |
| 201 | C2×Q8×C13 | C24 | 1 | 2 | yes | — |
| 202 | C2×Q8×C13 | C24 | 1 | 2 | yes | — |
| 203 | C22×C4×C13 | — | 2 | 1 | no | — |
| 204 | C22×C4×C13 | — | 2 | 1 | no | — |
| 205 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 206 | C22×C4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 207 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 208 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 209 | C2×C22⋊D13 | C2×D4 | 1 | 4 | yes | — |
| 210 | #6131 | — | 4 | 4 | no | — |
| 211 | #6131 | — | 4 | 4 | no | — |
| 212 | #6131 | — | 8 | 4 | no | — |
| 213 | #6127 | — | 4 | 4 | no | — |
| 214 | #6127 | — | 8 | 2 | no | — |
| 215 | C2×D52 | — | 2 | 1 | no | — |
| 216 | C2×D52 | — | 2 | 4 | no | — |
| 217 | C2×D52 | — | 2 | 4 | no | — |
| 218 | C2×D52 | — | 2 | 1 | no | — |
| 219 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 220 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 221 | C2×D52 | C2×D4 | 1 | 2 | yes | — |
| 222 | C2×D52 | C24 | 1 | 2 | yes | — |
| 223 | C2×C4×D13 | — | 2 | 2 | no | — |
| 224 | C2×C4×D13 | — | 2 | 4 | no | — |
| 225 | C2×C4×D13 | — | 2 | 4 | no | — |
| 226 | C2×C4×D13 | — | 2 | 4 | no | — |
| 227 | C2×C4×D13 | C24 | 1 | 4 | yes | — |
| 228 | C2×Dic26 | — | 2 | 1 | no | — |
| 229 | C2×Dic26 | — | 2 | 1 | no | — |
| 230 | C2×Dic26 | — | 2 | 1 | no | — |
| 231 | C2×Dic26 | C2×D4 | 1 | 2 | yes | — |
| 232 | C13×Q16 | — | 4 | 2 | no | — |
| 233 | C13×Q16 | — | 4 | 2 | no | — |
| 234 | C2×C8×C13 | C24 | 1 | 2 | yes | — |
| 235 | C2×C8×C13 | C24 | 1 | 2 | yes | — |
| 236 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 237 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 238 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 239 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 240 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 241 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 242 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 243 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 244 | C13×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 245 | C13×C4⋊C4 | C24 | 1 | 2 | yes | — |
| 246 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 247 | C42×C13 | — | 2 | 2 | no | — |
| 248 | C42×C13 | — | 2 | 2 | no | — |
| 249 | C42×C13 | — | 2 | 2 | no | — |
| 250 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C42×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 253 | C42×C13 | C24 | 1 | 1 | yes | characteristic |
| 254 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 255 | #6106 | — | 4 | 4 | no | — |
| 256 | #6103 | — | 2 | 4 | no | — |
| 257 | #6103 | — | 2 | 4 | no | — |
| 258 | #6103 | — | 2 | 4 | no | — |
| 259 | #6103 | — | 2 | 4 | no | — |
| 260 | #6103 | — | 2 | 2 | no | — |
| 261 | #6103 | — | 2 | 2 | no | — |
| 262 | #6103 | — | 2 | 4 | no | — |
| 263 | #6103 | C2×D4 | 1 | 4 | yes | — |
| 264 | #6103 | C2×D4 | 1 | 4 | yes | — |
| 265 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 266 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 267 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 268 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 269 | C4⋊Dic13 | C2×D4 | 1 | 2 | yes | — |
| 270 | C4⋊Dic13 | C24 | 1 | 2 | yes | — |
| 271 | C4⋊Dic13 | C24 | 1 | 2 | yes | — |
| 272 | C4⋊Dic13 | C24 | 1 | 2 | yes | — |
| 273 | #6101 | — | 2 | 2 | no | — |
| 274 | #6101 | — | 2 | 2 | no | — |
| 275 | #6101 | — | 2 | 4 | no | — |
| 276 | #6101 | — | 2 | 4 | no | — |
| 277 | #6101 | — | 2 | 4 | no | — |
| 278 | #6101 | — | 2 | 4 | no | — |
| 279 | #6101 | — | 2 | 4 | no | — |
| 280 | C4×Dic13 | — | 2 | 2 | no | — |
| 281 | C4×Dic13 | — | 2 | 4 | no | — |
| 282 | C2×#1055 | C24 | 1 | 4 | yes | — |
| 283 | #6094 | — | 4 | 4 | no | — |
| 284 | C8×D13 | — | 4 | 4 | no | — |
| 285 | #3548 | — | 13 | 1 | no | — |
| 286 | #3507 | — | 13 | 1 | no | — |
| 287 | #3356 | — | 13 | 2 | no | — |
| 288 | #3343 | — | 13 | 4 | no | — |
| 289 | #3338 | — | 13 | 2 | no | — |
| 290 | #3333 | — | 13 | 2 | no | — |
| 291 | #3315 | — | 13 | 4 | no | — |
| 292 | #3304 | — | 13 | 2 | no | — |
| 293 | #3237 | — | 13 | 1 | no | — |
| 294 | #3228 | — | 13 | 1 | no | — |
| 295 | #3201 | — | 13 | 4 | no | — |
| 296 | #3112 | — | 13 | 1 | no | — |
| 297 | #3104 | D13 | 1 | 1 | yes | characteristic, complemented |
| 298 | #3098 | — | 13 | 4 | no | — |
| 299 | #2981 | — | 13 | 1 | no | — |
| 300 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 301 | C22×D13 | — | 2 | 2 | no | — |
| 302 | C22×D13 | C22×D4 | 1 | 4 | yes | — |
| 303 | Q8×C13 | — | 2 | 2 | no | — |
| 304 | Q8×C13 | — | 2 | 2 | no | — |
| 305 | Q8×C13 | — | 2 | 2 | no | — |
| 306 | Q8×C13 | — | 2 | 2 | no | — |
| 307 | Q8×C13 | — | 4 | 2 | no | — |
| 308 | Q8×C13 | — | 4 | 2 | no | — |
| 309 | C2×C4×C13 | — | 2 | 2 | no | — |
| 310 | C2×C4×C13 | — | 2 | 2 | no | — |
| 311 | C2×C4×C13 | — | 2 | 2 | no | — |
| 312 | C2×C4×C13 | — | 2 | 2 | no | — |
| 313 | C2×C4×C13 | — | 2 | 2 | no | — |
| 314 | C2×C4×C13 | — | 2 | 2 | no | — |
| 315 | C2×C4×C13 | — | 4 | 1 | no | — |
| 316 | C2×C4×C13 | — | 4 | 2 | no | — |
| 317 | C2×C4×C13 | — | 8 | 1 | no | — |
| 318 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 319 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 320 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 321 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 322 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 323 | C2×C4×C13 | C25 | 1 | 1 | yes | characteristic |
| 324 | C22⋊D13 | — | 4 | 4 | no | — |
| 325 | C22⋊D13 | — | 8 | 2 | no | — |
| 326 | C2×Dic13 | — | 2 | 2 | no | — |
| 327 | C2×Dic13 | — | 2 | 2 | no | — |
| 328 | C2×Dic13 | — | 2 | 2 | no | — |
| 329 | C2×Dic13 | C22×D4 | 1 | 4 | yes | — |
| 330 | D52 | — | 2 | 4 | no | — |
| 331 | D52 | — | 2 | 4 | no | — |
| 332 | D52 | — | 4 | 2 | no | — |
| 333 | D52 | — | 4 | 2 | no | — |
| 334 | D52 | — | 4 | 2 | no | — |
| 335 | D52 | — | 8 | 1 | no | — |
| 336 | D52 | — | 8 | 4 | no | — |
| 337 | D52 | — | 8 | 4 | no | — |
| 338 | C4×D13 | — | 2 | 4 | no | — |
| 339 | C4×D13 | — | 2 | 4 | no | — |
| 340 | C4×D13 | — | 4 | 4 | no | — |
| 341 | C4×D13 | — | 8 | 4 | no | — |
| 342 | C4×D13 | — | 8 | 4 | no | — |
| 343 | C4×D13 | — | 8 | 4 | no | — |
| 344 | Dic26 | — | 4 | 2 | no | — |
| 345 | Dic26 | — | 4 | 2 | no | — |
| 346 | Dic26 | — | 8 | 1 | no | — |
| 347 | Dic26 | — | 8 | 1 | no | — |
| 348 | C8×C13 | — | 2 | 2 | no | — |
| 349 | C8×C13 | — | 2 | 2 | no | — |
| 350 | #1055 | — | 2 | 4 | no | — |
| 351 | #562 | — | 26 | 2 | no | — |
| 352 | #559 | — | 26 | 1 | no | — |
| 353 | #557 | — | 26 | 1 | no | — |
| 354 | #556 | — | 13 | 2 | no | — |
| 355 | #556 | — | 26 | 2 | no | — |
| 356 | #554 | — | 13 | 2 | no | — |
| 357 | #554 | — | 13 | 2 | no | — |
| 358 | #554 | — | 26 | 1 | no | — |
| 359 | #552 | — | 13 | 4 | no | — |
| 360 | #550 | — | 13 | 2 | no | — |
| 361 | #550 | — | 26 | 1 | no | — |
| 362 | #547 | — | 13 | 2 | no | — |
| 363 | #547 | — | 13 | 2 | no | — |
| 364 | #540 | — | 26 | 2 | no | — |
| 365 | #539 | — | 26 | 2 | no | — |
| 366 | #537 | — | 13 | 4 | no | — |
| 367 | #537 | — | 26 | 2 | no | — |
| 368 | #536 | — | 13 | 2 | no | — |
| 369 | #533 | — | 13 | 1 | no | — |
| 370 | #533 | C2×D13 | 1 | 1 | yes | characteristic |
| 371 | #532 | — | 13 | 1 | no | — |
| 372 | #532 | — | 13 | 1 | no | — |
| 373 | #529 | — | 26 | 2 | no | — |
| 374 | #520 | — | 13 | 2 | no | — |
| 375 | C2×C4×Q8 | C2×D13 | 1 | 1 | yes | characteristic |
| 376 | #501 | — | 13 | 2 | no | — |
| 377 | #500 | — | 13 | 1 | no | — |
| 378 | #498 | — | 13 | 1 | no | — |
| 379 | #491 | — | 13 | 2 | no | — |
| 380 | #486 | — | 13 | 1 | no | — |
| 381 | #486 | — | 13 | 1 | no | — |
| 382 | #485 | — | 13 | 4 | no | — |
| 383 | #485 | — | 13 | 4 | no | — |
| 384 | #484 | — | 13 | 4 | no | — |
| 385 | #484 | — | 13 | 4 | no | — |
| 386 | #484 | C2×D13 | 1 | 2 | yes | — |
| 387 | #483 | — | 13 | 4 | no | — |
| 388 | #482 | — | 13 | 4 | no | — |
| 389 | #482 | — | 13 | 4 | no | — |
| 390 | #480 | — | 13 | 2 | no | — |
| 391 | #480 | — | 13 | 4 | no | — |
| 392 | #478 | — | 13 | 4 | no | — |
| 393 | #477 | — | 13 | 2 | no | — |
| 394 | #477 | — | 13 | 2 | no | — |
| 395 | #477 | C2×D13 | 1 | 2 | yes | — |
| 396 | #475 | — | 13 | 2 | no | — |
| 397 | #470 | — | 13 | 4 | no | — |
| 398 | #468 | — | 13 | 4 | no | — |
| 399 | #467 | — | 13 | 4 | no | — |
| 400 | #465 | — | 13 | 4 | no | — |
| 401 | #462 | C2×D13 | 1 | 2 | yes | — |
| 402 | #460 | — | 13 | 2 | no | — |
| 403 | #452 | — | 13 | 4 | no | — |
| 404 | #452 | — | 13 | 4 | no | — |
| 405 | #451 | C2×D13 | 1 | 2 | yes | — |
| 406 | #448 | — | 13 | 2 | no | — |
| 407 | #440 | — | 13 | 4 | no | — |
| 408 | C4×Q16 | C2×D13 | 1 | 2 | yes | — |
| 409 | C4×Q16 | C2×D13 | 1 | 2 | yes | — |
| 410 | #436 | — | 13 | 2 | no | — |
| 411 | #435 | — | 13 | 4 | no | — |
| 412 | C8×D4 | — | 13 | 2 | no | — |
| 413 | #432 | — | 13 | 1 | no | — |
| 414 | #431 | C2×D13 | 1 | 1 | yes | characteristic |
| 415 | #428 | — | 13 | 4 | no | — |
| 416 | C2×#107 | — | 13 | 4 | no | — |
| 417 | #417 | — | 13 | 4 | no | — |
| 418 | #416 | — | 13 | 4 | no | — |
| 419 | #408 | — | 13 | 4 | no | — |
| 420 | C22×C13 | — | 2 | 1 | no | — |
| 421 | C22×C13 | — | 2 | 1 | no | — |
| 422 | C22×C13 | — | 2 | 1 | no | — |
| 423 | C22×C13 | C23×D4 | 1 | 1 | yes | characteristic |
| 424 | C2×D13 | — | 2 | 4 | no | — |
| 425 | C2×D13 | — | 2 | 4 | no | — |
| 426 | C2×D13 | — | 2 | 4 | no | — |
| 427 | C2×D13 | — | 4 | 2 | no | — |
| 428 | C2×D13 | — | 4 | 2 | no | — |
| 429 | C2×D13 | — | 4 | 2 | no | — |
| 430 | C4×C13 | — | 2 | 1 | no | — |
| 431 | C4×C13 | — | 2 | 1 | no | — |
| 432 | C4×C13 | — | 2 | 1 | no | — |
| 433 | C4×C13 | — | 2 | 1 | no | — |
| 434 | C4×C13 | — | 4 | 2 | no | — |
| 435 | C4×C13 | — | 4 | 2 | no | — |
| 436 | C4×C13 | — | 4 | 2 | no | — |
| 437 | C4×C13 | — | 4 | 2 | no | — |
| 438 | C4×C13 | #578 | 1 | 2 | yes | — |
| 439 | C4×C13 | #585 | 1 | 2 | yes | — |
| 440 | Dic13 | — | 2 | 4 | no | — |
| 441 | Dic13 | — | 4 | 2 | no | — |
| 442 | Dic13 | — | 4 | 2 | no | — |
| 443 | Dic13 | — | 4 | 2 | no | — |
| 444 | C2×#41 | — | 13 | 2 | no | — |
| 445 | C2×#41 | — | 13 | 4 | no | — |
| 446 | C2×#41 | — | 26 | 2 | no | — |
| 447 | C2×#41 | — | 26 | 1 | no | — |
| 448 | C22×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 449 | C2×Q16 | C22×D13 | 1 | 2 | yes | — |
| 450 | C2×Q16 | C22×D13 | 1 | 2 | yes | — |
| 451 | C2×SD16 | — | 13 | 4 | no | — |
| 452 | C2×M16 | — | 13 | 4 | no | — |
| 453 | C22×C8 | — | 13 | 4 | no | — |
| 454 | C4⋊Q8 | — | 13 | 1 | no | — |
| 455 | C4⋊Q8 | — | 13 | 1 | no | — |
| 456 | C4⋊Q8 | — | 13 | 1 | no | — |
| 457 | C4⋊Q8 | — | 13 | 1 | no | — |
| 458 | C4⋊Q8 | — | 26 | 2 | no | — |
| 459 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 460 | C4⋊Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 461 | #127 | — | 13 | 1 | no | — |
| 462 | #127 | — | 13 | 1 | no | — |
| 463 | #127 | — | 26 | 2 | no | — |
| 464 | #126 | — | 26 | 4 | no | — |
| 465 | #126 | — | 26 | 4 | no | — |
| 466 | #125 | — | 2 | 1 | no | — |
| 467 | #125 | — | 13 | 2 | no | — |
| 468 | #125 | — | 26 | 2 | no | — |
| 469 | #125 | — | 26 | 2 | no | — |
| 470 | #125 | — | 26 | 4 | no | — |
| 471 | #124 | — | 13 | 2 | no | — |
| 472 | #124 | — | 26 | 2 | no | — |
| 473 | #124 | — | 26 | 2 | no | — |
| 474 | #124 | — | 26 | 1 | no | — |
| 475 | #123 | — | 26 | 4 | no | — |
| 476 | #123 | — | 26 | 4 | no | — |
| 477 | #123 | — | 26 | 4 | no | — |
| 478 | #123 | — | 26 | 4 | no | — |
| 479 | C22⋊Q8 | — | 2 | 1 | no | — |
| 480 | C22⋊Q8 | — | 13 | 4 | no | — |
| 481 | C22⋊Q8 | — | 13 | 4 | no | — |
| 482 | C22⋊Q8 | — | 13 | 4 | no | — |
| 483 | C22⋊Q8 | — | 26 | 4 | no | — |
| 484 | C22⋊Q8 | — | 26 | 4 | no | — |
| 485 | C22⋊Q8 | — | 26 | 4 | no | — |
| 486 | C22⋊Q8 | — | 26 | 2 | no | — |
| 487 | C22⋊Q8 | — | 26 | 1 | no | — |
| 488 | C22⋊Q8 | — | 26 | 1 | no | — |
| 489 | C22⋊Q8 | C22×D13 | 1 | 2 | yes | — |
| 490 | #121 | — | 13 | 2 | no | — |
| 491 | #121 | — | 13 | 2 | no | — |
| 492 | #121 | — | 13 | 2 | no | — |
| 493 | #121 | — | 13 | 4 | no | — |
| 494 | #121 | — | 26 | 4 | no | — |
| 495 | #121 | — | 26 | 4 | no | — |
| 496 | #121 | — | 26 | 4 | no | — |
| 497 | #121 | — | 26 | 4 | no | — |
| 498 | #121 | — | 26 | 2 | no | — |
| 499 | #121 | — | 26 | 1 | no | — |
| 500 | C4×Q8 | — | 2 | 1 | no | — |
| 501 | C4×Q8 | — | 2 | 1 | no | — |
| 502 | C4×Q8 | — | 2 | 1 | no | — |
| 503 | C4×Q8 | — | 26 | 2 | no | — |
| 504 | C4×Q8 | — | 26 | 2 | no | — |
| 505 | C4×Q8 | — | 26 | 1 | no | — |
| 506 | C4×Q8 | — | 26 | 1 | no | — |
| 507 | C4×Q8 | C22×D13 | 1 | 2 | yes | — |
| 508 | C4×Q8 | C22×D13 | 1 | 2 | yes | — |
| 509 | C4×Q8 | C22×D13 | 1 | 2 | yes | — |
| 510 | C4×D4 | — | 13 | 2 | no | — |
| 511 | C4×D4 | — | 13 | 2 | no | — |
| 512 | C4×D4 | — | 13 | 2 | no | — |
| 513 | C4×D4 | — | 26 | 2 | no | — |
| 514 | C4×D4 | — | 26 | 2 | no | — |
| 515 | C4×D4 | — | 26 | 2 | no | — |
| 516 | C4×D4 | — | 26 | 2 | no | — |
| 517 | C4×D4 | — | 26 | 4 | no | — |
| 518 | C4×D4 | — | 26 | 1 | no | — |
| 519 | #117 | — | 2 | 1 | no | — |
| 520 | #117 | — | 13 | 2 | no | — |
| 521 | #117 | — | 13 | 4 | no | — |
| 522 | #117 | — | 26 | 4 | no | — |
| 523 | C2×C4⋊C4 | — | 2 | 1 | no | — |
| 524 | C2×C4⋊C4 | — | 13 | 4 | no | — |
| 525 | C2×C4⋊C4 | — | 13 | 4 | no | — |
| 526 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 527 | C2×C4⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 528 | C2×C42 | — | 2 | 1 | no | — |
| 529 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 530 | #107 | — | 13 | 4 | no | — |
| 531 | #107 | — | 13 | 4 | no | — |
| 532 | #107 | — | 13 | 4 | no | — |
| 533 | #107 | C22×D13 | 1 | 2 | yes | — |
| 534 | #107 | C22×D13 | 1 | 2 | yes | — |
| 535 | #106 | — | 13 | 4 | no | — |
| 536 | #106 | — | 13 | 4 | no | — |
| 537 | C4⋊C8 | — | 13 | 2 | no | — |
| 538 | C4⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 539 | #103 | — | 13 | 4 | no | — |
| 540 | #103 | — | 13 | 4 | no | — |
| 541 | #103 | — | 13 | 4 | no | — |
| 542 | #103 | C22×D13 | 1 | 2 | yes | — |
| 543 | #103 | C22×D13 | 1 | 2 | yes | — |
| 544 | #103 | C22×D13 | 1 | 2 | yes | — |
| 545 | #103 | C22×D13 | 1 | 2 | yes | — |
| 546 | #102 | — | 13 | 4 | no | — |
| 547 | #102 | — | 13 | 4 | no | — |
| 548 | #102 | — | 13 | 4 | no | — |
| 549 | C22⋊C8 | — | 13 | 2 | no | — |
| 550 | C22⋊C8 | — | 13 | 4 | no | — |
| 551 | C22⋊C8 | — | 13 | 4 | no | — |
| 552 | C22⋊C8 | C22×D13 | 1 | 2 | yes | — |
| 553 | #97 | — | 13 | 2 | no | — |
| 554 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 555 | C4×C8 | C22×D13 | 1 | 1 | yes | characteristic |
| 556 | C2×C13 | — | 4 | 1 | no | — |
| 557 | C2×C13 | #3485 | 1 | 1 | yes | characteristic |
| 558 | C2×C13 | C2×#578 | 1 | 1 | yes | characteristic |
| 559 | C2×C13 | #3585 | 1 | 1 | yes | characteristic |
| 560 | D13 | — | 4 | 4 | no | — |
| 561 | D13 | — | 8 | 2 | no | — |
| 562 | #41 | — | 52 | 4 | no | — |
| 563 | #41 | — | 52 | 4 | no | — |
| 564 | #41 | — | 52 | 4 | no | — |
| 565 | #41 | — | 104 | 2 | no | — |
| 566 | #41 | — | 104 | 4 | no | — |
| 567 | C2×Q8 | — | 2 | 1 | no | — |
| 568 | C2×Q8 | — | 2 | 1 | no | — |
| 569 | C2×Q8 | — | 4 | 2 | no | — |
| 570 | C2×Q8 | — | 13 | 2 | no | — |
| 571 | C2×Q8 | — | 26 | 1 | no | — |
| 572 | C2×Q8 | — | 26 | 1 | no | — |
| 573 | C2×Q8 | — | 26 | 1 | no | — |
| 574 | C2×Q8 | C23×D13 | 1 | 2 | yes | — |
| 575 | C2×Q8 | C23×D13 | 1 | 2 | yes | — |
| 576 | C2×D4 | — | 13 | 4 | no | — |
| 577 | C2×D4 | — | 13 | 2 | no | — |
| 578 | C2×D4 | — | 13 | 2 | no | — |
| 579 | C2×D4 | — | 13 | 2 | no | — |
| 580 | C2×D4 | — | 13 | 2 | no | — |
| 581 | C2×D4 | — | 26 | 4 | no | — |
| 582 | C2×D4 | — | 26 | 4 | no | — |
| 583 | C2×D4 | — | 26 | 2 | no | — |
| 584 | C2×D4 | — | 26 | 1 | no | — |
| 585 | C2×D4 | — | 26 | 1 | no | — |
| 586 | C22×C4 | — | 2 | 1 | no | — |
| 587 | C22×C4 | — | 2 | 1 | no | — |
| 588 | C22×C4 | — | 13 | 4 | no | — |
| 589 | C22×C4 | — | 26 | 4 | no | — |
| 590 | C22×C4 | — | 26 | 4 | no | — |
| 591 | C22×C4 | — | 26 | 4 | no | — |
| 592 | C22×C4 | — | 26 | 2 | no | — |
| 593 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 594 | C22×C4 | D4×D13 | 1 | 1 | yes | characteristic |
| 595 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 596 | Q16 | — | 4 | 2 | no | — |
| 597 | Q16 | — | 4 | 2 | no | — |
| 598 | SD16 | — | 52 | 4 | no | — |
| 599 | M16 | — | 52 | 4 | no | — |
| 600 | C2×C8 | — | 13 | 4 | no | — |
| 601 | C2×C8 | — | 52 | 4 | no | — |
| 602 | C2×C8 | C23×D13 | 1 | 2 | yes | — |
| 603 | C2×C8 | C23×D13 | 1 | 2 | yes | — |
| 604 | C4⋊C4 | — | 2 | 2 | no | — |
| 605 | C4⋊C4 | — | 2 | 2 | no | — |
| 606 | C4⋊C4 | — | 2 | 1 | no | — |
| 607 | C4⋊C4 | — | 2 | 1 | no | — |
| 608 | C4⋊C4 | — | 2 | 1 | no | — |
| 609 | C4⋊C4 | — | 2 | 1 | no | — |
| 610 | C4⋊C4 | — | 2 | 2 | no | — |
| 611 | C4⋊C4 | — | 2 | 2 | no | — |
| 612 | C4⋊C4 | — | 13 | 2 | no | — |
| 613 | C4⋊C4 | — | 13 | 2 | no | — |
| 614 | C4⋊C4 | — | 13 | 2 | no | — |
| 615 | C4⋊C4 | — | 13 | 2 | no | — |
| 616 | C4⋊C4 | — | 13 | 2 | no | — |
| 617 | C4⋊C4 | — | 26 | 4 | no | — |
| 618 | C4⋊C4 | — | 26 | 4 | no | — |
| 619 | C4⋊C4 | — | 26 | 4 | no | — |
| 620 | C4⋊C4 | — | 26 | 4 | no | — |
| 621 | C4⋊C4 | — | 26 | 4 | no | — |
| 622 | C4⋊C4 | — | 26 | 2 | no | — |
| 623 | C4⋊C4 | — | 26 | 1 | no | — |
| 624 | C4⋊C4 | — | 26 | 1 | no | — |
| 625 | C4⋊C4 | — | 26 | 2 | no | — |
| 626 | C4⋊C4 | — | 26 | 1 | no | — |
| 627 | C4⋊C4 | C23×D13 | 1 | 2 | yes | — |
| 628 | C4⋊C4 | C23×D13 | 1 | 2 | yes | — |
| 629 | C22⋊C4 | — | 2 | 2 | no | — |
| 630 | C22⋊C4 | — | 13 | 4 | 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 | 4 | no | — |
| 637 | C22⋊C4 | — | 26 | 2 | no | — |
| 638 | C22⋊C4 | — | 26 | 2 | no | — |
| 639 | C22⋊C4 | — | 26 | 2 | no | — |
| 640 | C42 | — | 2 | 2 | no | — |
| 641 | C42 | — | 2 | 2 | no | — |
| 642 | C42 | — | 2 | 2 | no | — |
| 643 | C42 | — | 26 | 4 | no | — |
| 644 | C42 | — | 26 | 2 | no | — |
| 645 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 646 | C42 | D4×D13 | 1 | 1 | yes | characteristic |
| 647 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 648 | C42 | C23×D13 | 1 | 1 | yes | characteristic |
| 649 | C13 | #61810 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 650 | C23 | — | 13 | 4 | no | — |
| 651 | C23 | — | 26 | 2 | no | — |
| 652 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 653 | Q8 | — | 2 | 2 | no | — |
| 654 | Q8 | — | 2 | 2 | no | — |
| 655 | Q8 | — | 2 | 2 | no | — |
| 656 | Q8 | — | 2 | 2 | no | — |
| 657 | Q8 | — | 4 | 2 | no | — |
| 658 | Q8 | — | 4 | 2 | no | — |
| 659 | Q8 | — | 52 | 2 | no | — |
| 660 | Q8 | — | 52 | 2 | no | — |
| 661 | Q8 | — | 104 | 1 | no | — |
| 662 | Q8 | — | 104 | 1 | no | — |
| 663 | D4 | — | 26 | 4 | no | — |
| 664 | D4 | — | 26 | 4 | no | — |
| 665 | D4 | — | 52 | 2 | no | — |
| 666 | D4 | — | 52 | 2 | no | — |
| 667 | D4 | — | 52 | 4 | no | — |
| 668 | D4 | — | 52 | 2 | no | — |
| 669 | D4 | — | 104 | 1 | no | — |
| 670 | D4 | — | 104 | 4 | no | — |
| 671 | D4 | — | 104 | 4 | no | — |
| 672 | D4 | — | 104 | 2 | no | — |
| 673 | C2×C4 | — | 2 | 2 | no | — |
| 674 | C2×C4 | — | 2 | 2 | no | — |
| 675 | C2×C4 | — | 2 | 2 | no | — |
| 676 | C2×C4 | — | 2 | 2 | no | — |
| 677 | C2×C4 | — | 2 | 2 | no | — |
| 678 | C2×C4 | — | 2 | 2 | no | — |
| 679 | C2×C4 | — | 4 | 1 | no | — |
| 680 | C2×C4 | — | 4 | 2 | no | — |
| 681 | C2×C4 | — | 8 | 1 | no | — |
| 682 | C2×C4 | — | 13 | 4 | no | — |
| 683 | C2×C4 | — | 26 | 4 | no | — |
| 684 | C2×C4 | — | 26 | 4 | no | — |
| 685 | C2×C4 | — | 26 | 2 | no | — |
| 686 | C2×C4 | — | 26 | 2 | no | — |
| 687 | C2×C4 | — | 26 | 2 | no | — |
| 688 | C2×C4 | — | 52 | 4 | no | — |
| 689 | C2×C4 | — | 104 | 4 | no | — |
| 690 | C2×C4 | — | 104 | 4 | no | — |
| 691 | C2×C4 | — | 104 | 4 | no | — |
| 692 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 693 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 694 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 695 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 696 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 697 | C2×C4 | C24×D13 | 1 | 1 | yes | characteristic |
| 698 | C8 | — | 2 | 2 | no | — |
| 699 | C8 | — | 2 | 2 | no | — |
| 700 | C8 | — | 26 | 4 | no | — |
| 701 | C22 | — | 2 | 1 | no | — |
| 702 | C22 | — | 2 | 1 | no | — |
| 703 | C22 | — | 2 | 1 | no | — |
| 704 | C22 | — | 26 | 4 | no | — |
| 705 | C22 | — | 26 | 4 | no | — |
| 706 | C22 | — | 26 | 4 | no | — |
| 707 | C22 | — | 52 | 2 | no | — |
| 708 | C22 | — | 52 | 2 | no | — |
| 709 | C22 | — | 52 | 2 | no | — |
| 710 | C22 | C22×D4×D13 | 1 | 1 | yes | characteristic |
| 711 | C4 | — | 2 | 1 | no | — |
| 712 | C4 | — | 2 | 1 | no | — |
| 713 | C4 | — | 2 | 1 | no | — |
| 714 | C4 | — | 2 | 1 | no | — |
| 715 | C4 | — | 4 | 2 | no | — |
| 716 | C4 | — | 4 | 2 | no | — |
| 717 | C4 | — | 4 | 2 | no | — |
| 718 | C4 | — | 4 | 2 | no | — |
| 719 | C4 | — | 26 | 4 | no | — |
| 720 | C4 | — | 52 | 2 | no | — |
| 721 | C4 | — | 52 | 2 | no | — |
| 722 | C4 | — | 52 | 2 | no | — |
| 723 | C4 | #11719471 | 1 | 2 | yes | — |
| 724 | C4 | #11719648 | 1 | 2 | yes | — |
| 725 | C2 | — | 4 | 1 | no | — |
| 726 | C2 | — | 52 | 4 | no | — |
| 727 | C2 | — | 104 | 2 | no | — |
| 728 | C2 | #13128478 | 1 | 1 | yes | characteristic |
| 729 | C2 | C2×#11719471 | 1 | 1 | yes | characteristic |
| 730 | C2 | #13129613 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13128701 | C2 | semidirect |
| 3. #13127453 | C2 | semidirect |
| 4. #13127273 | C2 | semidirect |
| 5. #13127230 | C2 | semidirect |
| 6. #13127176 | C2 | semidirect |
| 7. #13126939 | C2 | semidirect |
| 8. #13126777 | C2 | semidirect |
| 9. #13126046 | C2 | semidirect |
| 10. #13125974 | C2 | semidirect |
| 11. #13125722 | C2 | semidirect |
| 12. #13124958 | C2 | semidirect |
| 13. #13124815 | C2 | semidirect |
| 14. #13123911 | C2 | semidirect |
| 15. C13×#3104 | C2 | semidirect |
| 297. #3104 | D13 | semidirect |
| 649. C13 | #61810 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129236 | 2 |
| #13128701 | 2 |
| #13127453 | 2 |
| #13127273 | 2 |
| #13127230 | 2 |
| #13127176 | 2 |
| #13126939 | 2 |
| #13126777 | 2 |
| #13126046 | 2 |
| #13125974 | 2 |
| #13125722 | 2 |
| #13124958 | 2 |
| #13124815 | 2 |
| #13123911 | 2 |
| C13×#3104 | 2 |
| #61810 | 13 |