Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1360 conjugacy classes of subgroups.
The subgroup lattice has 1028 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | #13128511 | C2 | 1 | 1 | yes | maximal, characteristic |
| 2 | #13124460 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | C2×#11718866 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 4 | #13124092 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | C2×#11718482 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13120607 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 7 | #13116062 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 8 | #13116052 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13115869 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 10 | #13115303 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | #13115281 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 12 | #13115208 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 13 | #13115072 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 14 | #13114796 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 15 | C13×#2007 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 16 | C2×#88257 | C22 | 1 | 1 | yes | characteristic |
| 17 | C2×#41×D13 | C22 | 1 | 1 | yes | characteristic |
| 18 | C2×C13×#137 | C22 | 1 | 1 | yes | characteristic |
| 19 | C2×C13×#137 | C22 | 1 | 1 | yes | characteristic, complemented |
| 20 | C13×#537 | C22 | 1 | 1 | yes | characteristic |
| 21 | #11719533 | C22 | 1 | 1 | yes | characteristic |
| 22 | #11719530 | C22 | 1 | 1 | yes | characteristic |
| 23 | C2×#88200 | C22 | 1 | 1 | yes | characteristic |
| 24 | C2×#88198 | C22 | 1 | 1 | yes | characteristic, complemented |
| 25 | C2×#88196 | C22 | 1 | 1 | yes | characteristic |
| 26 | C2×M16×D13 | C22 | 1 | 1 | yes | characteristic |
| 27 | #11719337 | — | 2 | 1 | no | — |
| 28 | #11719336 | — | 2 | 1 | no | — |
| 29 | #11719333 | — | 2 | 1 | no | — |
| 30 | D13×C22⋊Q8 | — | 2 | 1 | no | — |
| 31 | #11719317 | — | 2 | 1 | no | — |
| 32 | #11719316 | — | 2 | 2 | no | — |
| 33 | #11719315 | — | 2 | 2 | no | — |
| 34 | #11719313 | — | 2 | 1 | no | — |
| 35 | #11719311 | — | 2 | 1 | no | — |
| 36 | #11719303 | — | 2 | 1 | no | — |
| 37 | C2×#88151 | C22 | 1 | 1 | yes | characteristic |
| 38 | #11719209 | C22 | 1 | 1 | yes | characteristic |
| 39 | C2×#88126 | C22 | 1 | 1 | yes | characteristic |
| 40 | C2×C13×#104 | C22 | 1 | 1 | yes | characteristic |
| 41 | C2×C13×#104 | C22 | 1 | 1 | yes | characteristic, complemented |
| 42 | C13×#391 | C22 | 1 | 1 | yes | characteristic, complemented |
| 43 | C2×#88077 | C22 | 1 | 1 | yes | characteristic |
| 44 | C2×#88077 | C22 | 1 | 1 | yes | characteristic, complemented |
| 45 | #11718893 | C22 | 1 | 1 | yes | characteristic |
| 46 | #11718893 | C22 | 1 | 1 | yes | characteristic, complemented |
| 47 | #11718886 | C22 | 1 | 1 | yes | characteristic, complemented |
| 48 | #11718866 | — | 2 | 4 | no | — |
| 49 | #11718850 | — | 2 | 1 | no | — |
| 50 | #11718849 | — | 2 | 1 | no | — |
| 51 | #11718848 | — | 2 | 1 | no | — |
| 52 | #11718847 | — | 2 | 1 | no | — |
| 53 | #11718835 | — | 2 | 1 | no | — |
| 54 | #11718834 | — | 2 | 1 | no | — |
| 55 | #11718832 | — | 2 | 1 | no | — |
| 56 | #11718830 | — | 2 | 1 | no | — |
| 57 | C2×#88065 | C22 | 1 | 1 | yes | characteristic |
| 58 | C2×#88064 | C22 | 1 | 1 | yes | characteristic, complemented |
| 59 | C2×#88064 | C22 | 1 | 1 | yes | characteristic, complemented |
| 60 | #11718794 | C22 | 1 | 1 | yes | characteristic |
| 61 | #11718787 | C22 | 1 | 1 | yes | characteristic |
| 62 | #11718782 | C22 | 1 | 1 | yes | characteristic, complemented |
| 63 | #11718638 | C22 | 1 | 1 | yes | characteristic, complemented |
| 64 | #11718590 | C22 | 1 | 1 | yes | characteristic, complemented |
| 65 | C2×#88045 | C22 | 1 | 1 | yes | characteristic |
| 66 | #11718482 | — | 2 | 4 | no | — |
| 67 | #11718336 | — | 2 | 2 | no | — |
| 68 | #11718318 | — | 2 | 2 | no | — |
| 69 | C13×#343 | C22 | 1 | 1 | yes | characteristic, complemented |
| 70 | #11718147 | C22 | 1 | 1 | yes | characteristic, complemented |
| 71 | #11718122 | C22 | 1 | 1 | yes | characteristic, complemented |
| 72 | #11718115 | C22 | 1 | 1 | yes | characteristic, complemented |
| 73 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 74 | C2×C13×#41 | C23 | 1 | 1 | yes | characteristic |
| 75 | C22×Q8×C13 | C23 | 1 | 1 | yes | characteristic |
| 76 | #88257 | — | 2 | 2 | no | — |
| 77 | #88257 | — | 2 | 2 | no | — |
| 78 | #88257 | — | 4 | 1 | no | — |
| 79 | #88257 | — | 4 | 1 | no | — |
| 80 | #41×D13 | — | 2 | 2 | no | — |
| 81 | #41×D13 | — | 2 | 2 | no | — |
| 82 | #41×D13 | — | 4 | 1 | no | — |
| 83 | #41×D13 | — | 4 | 1 | no | — |
| 84 | C2×#6131 | D4 | 1 | 1 | yes | characteristic |
| 85 | C2×Q8×D13 | — | 2 | 1 | no | — |
| 86 | C2×Q8×D13 | D4 | 1 | 1 | yes | characteristic |
| 87 | C2×#6129 | — | 2 | 1 | no | — |
| 88 | C2×#6129 | — | 2 | 2 | no | — |
| 89 | C2×#6129 | — | 2 | 1 | no | — |
| 90 | C2×#6129 | D4 | 1 | 1 | yes | characteristic |
| 91 | C2×D4×D13 | — | 2 | 1 | no | — |
| 92 | C2×D4×D13 | D4 | 1 | 1 | yes | characteristic |
| 93 | C2×#6127 | — | 2 | 1 | no | — |
| 94 | C2×#6127 | — | 2 | 1 | no | — |
| 95 | C2×#6127 | C23 | 1 | 1 | yes | characteristic |
| 96 | C22×C4×D13 | — | 2 | 1 | no | — |
| 97 | C22×C4×D13 | C23 | 1 | 1 | yes | characteristic |
| 98 | C22×Dic26 | — | 2 | 1 | no | — |
| 99 | C22×Dic26 | C23 | 1 | 1 | yes | characteristic |
| 100 | C13×#137 | — | 2 | 2 | no | — |
| 101 | C13×#137 | — | 4 | 1 | no | — |
| 102 | C13×#137 | — | 4 | 1 | no | — |
| 103 | C13×#137 | — | 4 | 1 | no | — |
| 104 | C2×C13×Q16 | — | 2 | 1 | no | — |
| 105 | C2×C13×Q16 | — | 2 | 1 | no | — |
| 106 | C2×C13×SD16 | — | 2 | 1 | no | — |
| 107 | C2×C13×SD16 | — | 2 | 1 | no | — |
| 108 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 109 | C2×C13×M16 | C23 | 1 | 1 | yes | characteristic |
| 110 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 111 | C13×C22⋊Q8 | — | 2 | 1 | no | — |
| 112 | C13×#121 | — | 2 | 1 | no | — |
| 113 | C13×#121 | — | 2 | 1 | no | — |
| 114 | C13×#121 | — | 2 | 2 | no | — |
| 115 | C2×C13×C4⋊C4 | C23 | 1 | 1 | yes | characteristic |
| 116 | C2×C42×C13 | C23 | 1 | 1 | yes | characteristic |
| 117 | #88200 | — | 2 | 1 | no | — |
| 118 | #88200 | — | 2 | 1 | no | — |
| 119 | #88200 | — | 2 | 1 | no | — |
| 120 | #88200 | — | 2 | 1 | no | — |
| 121 | #88200 | D4 | 1 | 1 | yes | characteristic |
| 122 | #88200 | D4 | 1 | 1 | yes | characteristic |
| 123 | #88198 | — | 2 | 1 | no | — |
| 124 | #88198 | — | 2 | 2 | no | — |
| 125 | #88198 | — | 4 | 1 | no | — |
| 126 | C2×#6107 | — | 2 | 1 | no | — |
| 127 | #88196 | — | 2 | 2 | no | — |
| 128 | #88196 | — | 2 | 2 | no | — |
| 129 | C2×#6106 | — | 2 | 1 | no | — |
| 130 | #88193 | — | 2 | 2 | no | — |
| 131 | #88192 | — | 2 | 2 | no | — |
| 132 | #88192 | D4 | 1 | 1 | yes | characteristic |
| 133 | #88192 | D4 | 1 | 1 | yes | characteristic |
| 134 | #88191 | — | 2 | 2 | no | — |
| 135 | #88191 | — | 2 | 1 | no | — |
| 136 | #88190 | — | 2 | 1 | no | — |
| 137 | #88189 | — | 2 | 2 | no | — |
| 138 | #88189 | — | 2 | 1 | no | — |
| 139 | D4×Dic13 | — | 2 | 2 | no | — |
| 140 | C4×C22⋊D13 | — | 2 | 2 | no | — |
| 141 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 142 | C4×C22⋊D13 | — | 2 | 1 | no | — |
| 143 | C2×#6103 | — | 2 | 1 | no | — |
| 144 | C2×#6103 | — | 2 | 1 | no | — |
| 145 | C2×#6103 | D4 | 1 | 2 | yes | — |
| 146 | #88180 | C23 | 1 | 1 | yes | characteristic |
| 147 | C2×C4⋊Dic13 | D4 | 1 | 2 | yes | — |
| 148 | C2×C4⋊Dic13 | C23 | 1 | 1 | yes | characteristic |
| 149 | #88178 | — | 2 | 1 | no | — |
| 150 | #88178 | — | 2 | 1 | no | — |
| 151 | C2×#6101 | — | 2 | 1 | no | — |
| 152 | C2×#6101 | — | 2 | 2 | no | — |
| 153 | C2×#6101 | — | 2 | 1 | no | — |
| 154 | C2×C4×Dic13 | C23 | 1 | 1 | yes | characteristic |
| 155 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 156 | C2×#6099 | C23 | 1 | 1 | yes | characteristic |
| 157 | M16×D13 | — | 2 | 2 | no | — |
| 158 | M16×D13 | — | 4 | 1 | no | — |
| 159 | C2×#6094 | — | 2 | 1 | no | — |
| 160 | C2×C8×D13 | — | 2 | 1 | no | — |
| 161 | #88151 | — | 2 | 1 | no | — |
| 162 | #88151 | — | 2 | 1 | no | — |
| 163 | #88151 | — | 2 | 1 | no | — |
| 164 | #88151 | — | 2 | 1 | no | — |
| 165 | #88150 | — | 2 | 2 | no | — |
| 166 | #88148 | — | 2 | 2 | no | — |
| 167 | #88147 | — | 2 | 1 | no | — |
| 168 | #88146 | — | 2 | 1 | no | — |
| 169 | C4⋊C4×D13 | — | 2 | 2 | no | — |
| 170 | C4⋊C4×D13 | — | 2 | 1 | no | — |
| 171 | #88142 | — | 2 | 2 | no | — |
| 172 | #88141 | — | 2 | 1 | no | — |
| 173 | #88139 | — | 2 | 2 | no | — |
| 174 | #88138 | — | 2 | 2 | no | — |
| 175 | #88137 | — | 2 | 2 | no | — |
| 176 | #88137 | — | 2 | 2 | no | — |
| 177 | #88135 | — | 2 | 2 | no | — |
| 178 | C22⋊C4×D13 | — | 2 | 2 | no | — |
| 179 | #88132 | — | 2 | 2 | no | — |
| 180 | #88132 | — | 2 | 2 | no | — |
| 181 | #88126 | — | 2 | 2 | no | — |
| 182 | #88126 | — | 4 | 1 | no | — |
| 183 | C13×#104 | — | 2 | 2 | no | — |
| 184 | C13×#104 | — | 4 | 1 | no | — |
| 185 | C13×#95 | — | 2 | 2 | no | — |
| 186 | #88077 | — | 2 | 2 | no | — |
| 187 | #88077 | — | 2 | 2 | no | — |
| 188 | #88075 | — | 2 | 1 | no | — |
| 189 | #88075 | — | 2 | 1 | no | — |
| 190 | #88075 | — | 2 | 1 | no | — |
| 191 | #88075 | — | 2 | 1 | no | — |
| 192 | #88072 | — | 2 | 1 | no | — |
| 193 | #88072 | — | 2 | 1 | no | — |
| 194 | #88071 | — | 2 | 2 | no | — |
| 195 | #88071 | — | 2 | 2 | no | — |
| 196 | #88065 | D4 | 1 | 4 | yes | complemented |
| 197 | #88064 | — | 2 | 2 | no | — |
| 198 | #88064 | — | 4 | 1 | no | — |
| 199 | #88061 | — | 2 | 1 | no | — |
| 200 | #88060 | — | 2 | 1 | no | — |
| 201 | #88060 | — | 2 | 1 | no | — |
| 202 | #88058 | — | 2 | 1 | no | — |
| 203 | #88057 | — | 2 | 1 | no | — |
| 204 | #88056 | — | 2 | 1 | no | — |
| 205 | #88045 | — | 2 | 2 | no | — |
| 206 | #24470 | — | 13 | 1 | no | maximal, Sylow |
| 207 | C23×D13 | — | 2 | 1 | no | — |
| 208 | C23×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 209 | C13×#41 | — | 2 | 1 | no | — |
| 210 | C13×#41 | — | 2 | 1 | no | — |
| 211 | C13×#41 | — | 2 | 1 | no | — |
| 212 | C13×#41 | — | 2 | 1 | no | — |
| 213 | C13×#41 | — | 2 | 1 | no | — |
| 214 | C13×#41 | — | 2 | 1 | no | — |
| 215 | C13×#41 | — | 2 | 1 | no | — |
| 216 | C13×#41 | — | 2 | 1 | no | — |
| 217 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 218 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 219 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 220 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 221 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 222 | C2×Q8×C13 | — | 2 | 1 | no | — |
| 223 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 224 | C2×Q8×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 225 | C2×D4×C13 | — | 2 | 1 | no | — |
| 226 | C2×D4×C13 | — | 2 | 1 | no | — |
| 227 | C2×D4×C13 | — | 2 | 2 | no | — |
| 228 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 229 | C2×D4×C13 | C2×D4 | 1 | 1 | yes | characteristic |
| 230 | C22×C4×C13 | — | 2 | 1 | no | — |
| 231 | C22×C4×C13 | — | 2 | 1 | no | — |
| 232 | C22×C4×C13 | — | 2 | 1 | no | — |
| 233 | C22×C4×C13 | — | 2 | 1 | no | — |
| 234 | C22×C4×C13 | C2×D4 | 1 | 2 | yes | — |
| 235 | C22×C4×C13 | C24 | 1 | 1 | yes | characteristic |
| 236 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 237 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 238 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 239 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 240 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 241 | C2×C22⋊D13 | — | 2 | 1 | no | — |
| 242 | C22×Dic13 | — | 2 | 2 | no | — |
| 243 | C22×Dic13 | — | 2 | 1 | no | — |
| 244 | C22×Dic13 | — | 2 | 1 | no | — |
| 245 | C22×Dic13 | — | 2 | 1 | no | — |
| 246 | C22×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 247 | C22×Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 248 | #6131 | — | 2 | 2 | no | — |
| 249 | #6131 | — | 4 | 1 | no | — |
| 250 | Q8×D13 | — | 2 | 2 | no | — |
| 251 | Q8×D13 | — | 4 | 1 | no | — |
| 252 | Q8×D13 | — | 4 | 2 | no | — |
| 253 | Q8×D13 | — | 4 | 2 | no | — |
| 254 | #6129 | — | 2 | 2 | no | — |
| 255 | #6129 | — | 4 | 1 | no | — |
| 256 | #6129 | — | 4 | 2 | no | — |
| 257 | #6129 | — | 4 | 2 | no | — |
| 258 | #6129 | — | 4 | 2 | no | — |
| 259 | #6129 | — | 4 | 2 | no | — |
| 260 | #6129 | — | 4 | 4 | no | — |
| 261 | #6129 | — | 4 | 4 | no | — |
| 262 | D4×D13 | — | 2 | 2 | no | — |
| 263 | D4×D13 | — | 4 | 1 | no | — |
| 264 | D4×D13 | — | 4 | 2 | no | — |
| 265 | D4×D13 | — | 4 | 2 | no | — |
| 266 | #6127 | — | 2 | 1 | no | — |
| 267 | #6127 | — | 2 | 1 | no | — |
| 268 | #6127 | — | 4 | 2 | no | — |
| 269 | #6127 | — | 4 | 2 | no | — |
| 270 | #6127 | — | 4 | 2 | no | — |
| 271 | #6127 | — | 4 | 2 | no | — |
| 272 | #6127 | C2×D4 | 1 | 2 | yes | — |
| 273 | #6127 | #41 | 1 | 2 | yes | — |
| 274 | C2×D52 | — | 2 | 1 | no | — |
| 275 | C2×D52 | C2×D4 | 1 | 1 | yes | characteristic |
| 276 | C2×C4×D13 | — | 2 | 1 | no | — |
| 277 | C2×C4×D13 | — | 2 | 1 | no | — |
| 278 | C2×C4×D13 | — | 2 | 1 | no | — |
| 279 | C2×C4×D13 | — | 2 | 1 | no | — |
| 280 | C2×C4×D13 | — | 2 | 1 | no | — |
| 281 | C2×C4×D13 | — | 2 | 2 | no | — |
| 282 | C2×C4×D13 | — | 2 | 1 | no | — |
| 283 | C2×C4×D13 | — | 2 | 1 | no | — |
| 284 | C2×C4×D13 | — | 2 | 2 | no | — |
| 285 | C2×C4×D13 | — | 4 | 2 | no | — |
| 286 | C2×C4×D13 | — | 4 | 2 | no | — |
| 287 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 288 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 289 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 290 | C2×C4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 291 | C2×Dic26 | — | 2 | 2 | no | — |
| 292 | C2×Dic26 | — | 2 | 1 | no | — |
| 293 | C2×Dic26 | — | 2 | 1 | no | — |
| 294 | C2×Dic26 | — | 2 | 1 | no | — |
| 295 | C2×Dic26 | — | 2 | 1 | no | — |
| 296 | C2×Dic26 | — | 2 | 1 | no | — |
| 297 | C2×Dic26 | — | 2 | 1 | no | — |
| 298 | C2×Dic26 | — | 2 | 1 | no | — |
| 299 | C2×Dic26 | — | 4 | 2 | no | — |
| 300 | C2×Dic26 | — | 4 | 2 | no | — |
| 301 | C2×Dic26 | C2×D4 | 1 | 1 | yes | characteristic |
| 302 | C13×Q16 | — | 4 | 2 | no | — |
| 303 | C13×Q16 | — | 4 | 2 | no | — |
| 304 | C13×SD16 | — | 4 | 2 | no | — |
| 305 | C13×SD16 | — | 4 | 2 | no | — |
| 306 | C13×M16 | — | 2 | 1 | no | — |
| 307 | C13×M16 | — | 2 | 1 | no | — |
| 308 | C13×M16 | — | 2 | 1 | no | — |
| 309 | C13×M16 | C2×D4 | 1 | 2 | yes | — |
| 310 | C2×C8×C13 | — | 2 | 1 | no | — |
| 311 | C2×C8×C13 | — | 2 | 1 | no | — |
| 312 | C13×C4⋊C4 | — | 2 | 2 | no | — |
| 313 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 314 | C13×C4⋊C4 | — | 2 | 1 | no | — |
| 315 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 316 | C13×C22⋊C4 | — | 2 | 2 | no | — |
| 317 | C42×C13 | — | 2 | 1 | no | — |
| 318 | C42×C13 | — | 2 | 1 | no | — |
| 319 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 320 | C22⋊Dic13 | — | 2 | 2 | no | — |
| 321 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 322 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 323 | C22⋊Dic13 | — | 2 | 1 | no | — |
| 324 | #6107 | — | 4 | 2 | no | — |
| 325 | #6106 | — | 4 | 2 | no | — |
| 326 | #6103 | — | 2 | 2 | no | — |
| 327 | #6103 | — | 2 | 1 | no | — |
| 328 | #6103 | — | 2 | 2 | no | — |
| 329 | #6103 | — | 2 | 2 | no | — |
| 330 | #6103 | — | 2 | 1 | no | — |
| 331 | #6103 | — | 4 | 2 | no | — |
| 332 | #6103 | — | 4 | 1 | no | — |
| 333 | #6103 | — | 4 | 1 | no | — |
| 334 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 335 | C4⋊Dic13 | — | 2 | 2 | no | — |
| 336 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 337 | C4⋊Dic13 | — | 2 | 1 | no | — |
| 338 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 339 | C4⋊Dic13 | C2×D4 | 1 | 1 | yes | characteristic |
| 340 | #6101 | — | 2 | 2 | no | — |
| 341 | #6101 | — | 2 | 2 | no | — |
| 342 | #6101 | — | 2 | 2 | no | — |
| 343 | #6101 | — | 2 | 1 | no | — |
| 344 | #6101 | — | 2 | 1 | no | — |
| 345 | #6101 | — | 4 | 2 | no | — |
| 346 | #6101 | — | 4 | 4 | no | — |
| 347 | #6101 | — | 4 | 1 | no | — |
| 348 | #6101 | — | 4 | 1 | no | — |
| 349 | C4×Dic13 | — | 2 | 2 | no | — |
| 350 | C4×Dic13 | — | 2 | 1 | no | — |
| 351 | C4×Dic13 | — | 2 | 1 | no | — |
| 352 | C4×Dic13 | C2×D4 | 1 | 2 | yes | — |
| 353 | #6099 | — | 2 | 1 | no | — |
| 354 | #6099 | — | 2 | 1 | no | — |
| 355 | #6099 | — | 2 | 1 | no | — |
| 356 | #6099 | — | 2 | 1 | no | — |
| 357 | C2×#1055 | — | 2 | 1 | no | — |
| 358 | C2×#1055 | — | 2 | 1 | no | — |
| 359 | #6094 | — | 4 | 2 | no | — |
| 360 | C8×D13 | — | 4 | 2 | no | — |
| 361 | #3489 | — | 13 | 1 | no | — |
| 362 | #3056 | — | 13 | 1 | no | — |
| 363 | C2×#456 | — | 13 | 1 | no | — |
| 364 | #3007 | — | 13 | 1 | no | — |
| 365 | C2×#421 | — | 13 | 1 | no | — |
| 366 | #2621 | — | 13 | 1 | no | — |
| 367 | #2040 | — | 13 | 1 | no | — |
| 368 | #2038 | — | 13 | 1 | no | — |
| 369 | #2007 | D13 | 1 | 1 | yes | characteristic, complemented |
| 370 | #2005 | — | 13 | 1 | no | — |
| 371 | #1901 | — | 13 | 1 | no | — |
| 372 | #1897 | — | 13 | 1 | no | — |
| 373 | #1882 | — | 13 | 1 | no | — |
| 374 | #1860 | — | 13 | 1 | no | — |
| 375 | #1793 | — | 13 | 1 | no | — |
| 376 | C23×C13 | — | 2 | 1 | no | — |
| 377 | C23×C13 | — | 2 | 1 | no | — |
| 378 | C23×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 379 | C22×D13 | — | 2 | 1 | no | — |
| 380 | C22×D13 | — | 2 | 1 | no | — |
| 381 | C22×D13 | — | 2 | 1 | no | — |
| 382 | C22×D13 | — | 4 | 1 | no | — |
| 383 | C22×D13 | — | 4 | 1 | no | — |
| 384 | C22×D13 | — | 4 | 2 | no | — |
| 385 | C22×D13 | — | 4 | 2 | no | — |
| 386 | C22×D13 | — | 8 | 1 | no | — |
| 387 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 388 | C22×D13 | #120 | 1 | 1 | yes | characteristic |
| 389 | Q8×C13 | — | 2 | 1 | no | — |
| 390 | Q8×C13 | — | 2 | 1 | no | — |
| 391 | Q8×C13 | — | 2 | 1 | no | — |
| 392 | Q8×C13 | — | 2 | 1 | no | — |
| 393 | Q8×C13 | — | 4 | 1 | no | — |
| 394 | Q8×C13 | — | 4 | 1 | no | — |
| 395 | Q8×C13 | — | 4 | 1 | no | — |
| 396 | Q8×C13 | — | 4 | 1 | no | — |
| 397 | D4×C13 | — | 2 | 1 | no | — |
| 398 | D4×C13 | — | 2 | 1 | no | — |
| 399 | D4×C13 | — | 2 | 1 | no | — |
| 400 | D4×C13 | — | 2 | 1 | no | — |
| 401 | D4×C13 | — | 4 | 1 | no | — |
| 402 | D4×C13 | — | 4 | 1 | no | — |
| 403 | D4×C13 | — | 4 | 1 | no | — |
| 404 | D4×C13 | — | 4 | 1 | no | — |
| 405 | D4×C13 | — | 8 | 2 | no | — |
| 406 | C2×C4×C13 | — | 2 | 2 | no | — |
| 407 | C2×C4×C13 | — | 2 | 1 | no | — |
| 408 | C2×C4×C13 | — | 2 | 1 | no | — |
| 409 | C2×C4×C13 | — | 4 | 1 | no | — |
| 410 | C2×C4×C13 | — | 4 | 1 | no | — |
| 411 | C2×C4×C13 | — | 4 | 1 | no | — |
| 412 | C2×C4×C13 | — | 4 | 1 | no | — |
| 413 | C2×C4×C13 | — | 4 | 2 | no | — |
| 414 | C2×C4×C13 | — | 4 | 1 | no | — |
| 415 | C2×C4×C13 | — | 4 | 1 | no | — |
| 416 | C2×C4×C13 | — | 4 | 1 | no | — |
| 417 | C2×C4×C13 | — | 4 | 1 | no | — |
| 418 | C2×C4×C13 | — | 4 | 1 | no | — |
| 419 | C2×C4×C13 | — | 4 | 1 | no | — |
| 420 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 421 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 422 | C2×C4×C13 | C22×D4 | 1 | 1 | yes | characteristic |
| 423 | C2×C4×C13 | C2×#41 | 1 | 1 | yes | characteristic |
| 424 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 425 | C2×C4×C13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 426 | C22⋊D13 | — | 2 | 2 | no | — |
| 427 | C22⋊D13 | — | 2 | 2 | no | — |
| 428 | C22⋊D13 | — | 4 | 2 | no | — |
| 429 | C22⋊D13 | — | 4 | 2 | no | — |
| 430 | C22⋊D13 | — | 4 | 4 | no | — |
| 431 | C22⋊D13 | — | 4 | 2 | no | — |
| 432 | C22⋊D13 | — | 8 | 1 | no | — |
| 433 | C2×Dic13 | — | 2 | 1 | no | — |
| 434 | C2×Dic13 | — | 2 | 1 | no | — |
| 435 | C2×Dic13 | — | 2 | 1 | no | — |
| 436 | C2×Dic13 | — | 2 | 1 | no | — |
| 437 | C2×Dic13 | — | 2 | 1 | no | — |
| 438 | C2×Dic13 | — | 2 | 2 | no | — |
| 439 | C2×Dic13 | — | 2 | 2 | no | — |
| 440 | C2×Dic13 | — | 2 | 2 | no | — |
| 441 | C2×Dic13 | — | 2 | 2 | no | — |
| 442 | C2×Dic13 | — | 4 | 2 | no | — |
| 443 | C2×Dic13 | — | 4 | 4 | no | — |
| 444 | C2×Dic13 | — | 4 | 1 | no | — |
| 445 | C2×Dic13 | — | 4 | 1 | no | — |
| 446 | C2×Dic13 | — | 4 | 2 | no | — |
| 447 | C2×Dic13 | — | 4 | 1 | no | — |
| 448 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 449 | C2×Dic13 | #120 | 1 | 1 | yes | characteristic |
| 450 | D52 | — | 2 | 1 | no | — |
| 451 | D52 | — | 4 | 2 | no | — |
| 452 | D52 | #121 | 1 | 2 | yes | — |
| 453 | C4×D13 | — | 2 | 1 | no | — |
| 454 | C4×D13 | — | 2 | 1 | no | — |
| 455 | C4×D13 | — | 2 | 1 | no | — |
| 456 | C4×D13 | — | 2 | 1 | no | — |
| 457 | C4×D13 | — | 2 | 1 | no | — |
| 458 | C4×D13 | — | 2 | 1 | no | — |
| 459 | C4×D13 | — | 2 | 2 | no | — |
| 460 | C4×D13 | — | 2 | 1 | no | — |
| 461 | C4×D13 | — | 2 | 1 | no | — |
| 462 | C4×D13 | — | 2 | 2 | no | — |
| 463 | C4×D13 | — | 4 | 2 | no | — |
| 464 | C4×D13 | — | 4 | 2 | no | — |
| 465 | C4×D13 | — | 4 | 4 | no | — |
| 466 | C4×D13 | — | 8 | 2 | no | — |
| 467 | Dic26 | — | 2 | 1 | no | — |
| 468 | Dic26 | — | 4 | 2 | no | — |
| 469 | Dic26 | — | 4 | 4 | no | — |
| 470 | Dic26 | — | 4 | 1 | no | — |
| 471 | Dic26 | — | 4 | 1 | no | — |
| 472 | Dic26 | — | 4 | 1 | no | — |
| 473 | Dic26 | — | 4 | 1 | no | — |
| 474 | Dic26 | #121 | 1 | 2 | yes | — |
| 475 | C8×C13 | — | 2 | 2 | no | — |
| 476 | C8×C13 | — | 4 | 1 | no | — |
| 477 | #1055 | — | 4 | 1 | no | — |
| 478 | #1055 | — | 4 | 1 | no | — |
| 479 | C2×2−1+4 | — | 13 | 1 | no | — |
| 480 | C22×#41 | — | 13 | 1 | no | — |
| 481 | C2×#137 | — | 13 | 1 | no | — |
| 482 | C2×#137 | C2×D13 | 1 | 1 | yes | characteristic |
| 483 | C2×#137 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 484 | C22×M16 | — | 13 | 1 | no | — |
| 485 | D4×Q8 | — | 26 | 1 | no | — |
| 486 | #548 | — | 26 | 1 | no | — |
| 487 | #547 | — | 26 | 2 | no | — |
| 488 | #547 | — | 26 | 1 | no | — |
| 489 | #546 | — | 26 | 2 | no | — |
| 490 | #546 | — | 26 | 1 | no | — |
| 491 | #537 | — | 26 | 1 | no | — |
| 492 | #537 | C2×D13 | 1 | 1 | yes | characteristic |
| 493 | #536 | — | 13 | 1 | no | — |
| 494 | #536 | — | 26 | 1 | no | — |
| 495 | C2×C4⋊Q8 | — | 13 | 1 | no | — |
| 496 | #525 | — | 13 | 1 | no | — |
| 497 | #525 | — | 26 | 1 | no | — |
| 498 | C2×C22⋊Q8 | — | 13 | 1 | no | — |
| 499 | C2×C22⋊Q8 | — | 13 | 1 | no | — |
| 500 | C2×C22⋊Q8 | — | 26 | 1 | no | — |
| 501 | #520 | — | 13 | 1 | no | — |
| 502 | C2×#117 | — | 13 | 1 | no | — |
| 503 | #470 | — | 26 | 1 | no | — |
| 504 | #468 | — | 26 | 1 | no | — |
| 505 | #467 | — | 26 | 1 | no | — |
| 506 | #465 | — | 26 | 1 | no | — |
| 507 | #456 | — | 26 | 4 | no | — |
| 508 | #452 | — | 26 | 1 | no | — |
| 509 | #452 | — | 26 | 1 | no | — |
| 510 | #451 | — | 26 | 1 | no | — |
| 511 | #450 | — | 26 | 1 | no | — |
| 512 | #428 | — | 13 | 1 | no | — |
| 513 | #421 | — | 26 | 4 | no | — |
| 514 | C2×#104 | — | 13 | 1 | no | — |
| 515 | C2×#104 | — | 13 | 1 | no | — |
| 516 | C2×#104 | — | 13 | 1 | no | — |
| 517 | C2×#104 | — | 13 | 1 | no | — |
| 518 | C2×#104 | C2×D13 | 1 | 1 | yes | characteristic |
| 519 | C2×#104 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 520 | #419 | — | 13 | 1 | no | — |
| 521 | #417 | — | 13 | 1 | no | — |
| 522 | #417 | — | 13 | 1 | no | — |
| 523 | #417 | — | 13 | 1 | no | — |
| 524 | C2×#101 | — | 13 | 1 | no | — |
| 525 | C2×#101 | — | 13 | 1 | no | — |
| 526 | #407 | — | 13 | 1 | no | — |
| 527 | #398 | — | 26 | 2 | no | — |
| 528 | #397 | — | 26 | 2 | no | — |
| 529 | #391 | — | 13 | 1 | no | — |
| 530 | #391 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 531 | #382 | — | 13 | 1 | no | — |
| 532 | #343 | — | 13 | 1 | no | — |
| 533 | #343 | C2×D13 | 1 | 1 | yes | characteristic, complemented |
| 534 | #339 | — | 13 | 1 | no | — |
| 535 | #339 | — | 13 | 1 | no | — |
| 536 | C22×C13 | — | 2 | 1 | no | — |
| 537 | C22×C13 | — | 2 | 1 | no | — |
| 538 | C22×C13 | — | 4 | 1 | no | — |
| 539 | C22×C13 | — | 4 | 1 | no | — |
| 540 | C22×C13 | — | 4 | 1 | no | — |
| 541 | C22×C13 | — | 4 | 1 | no | — |
| 542 | C22×C13 | — | 4 | 1 | no | — |
| 543 | C22×C13 | — | 4 | 1 | no | — |
| 544 | C22×C13 | C2×#120 | 1 | 1 | yes | characteristic |
| 545 | C22×C13 | D42 | 1 | 1 | yes | characteristic |
| 546 | C22×C13 | #546 | 1 | 1 | yes | characteristic |
| 547 | C2×D13 | — | 2 | 1 | no | — |
| 548 | C2×D13 | — | 2 | 1 | no | — |
| 549 | C2×D13 | — | 2 | 2 | no | — |
| 550 | C2×D13 | — | 2 | 1 | no | — |
| 551 | C2×D13 | — | 2 | 1 | no | — |
| 552 | C2×D13 | — | 2 | 1 | no | — |
| 553 | C2×D13 | — | 2 | 1 | no | — |
| 554 | C2×D13 | — | 4 | 1 | no | — |
| 555 | C2×D13 | — | 4 | 1 | no | — |
| 556 | C2×D13 | — | 8 | 1 | no | — |
| 557 | C2×D13 | — | 8 | 1 | no | — |
| 558 | C2×D13 | — | 8 | 4 | no | — |
| 559 | C4×C13 | — | 4 | 1 | no | — |
| 560 | C4×C13 | — | 4 | 1 | no | — |
| 561 | C4×C13 | — | 4 | 2 | no | — |
| 562 | C4×C13 | — | 8 | 1 | no | — |
| 563 | C4×C13 | — | 8 | 1 | no | — |
| 564 | C4×C13 | C2×#121 | 1 | 1 | yes | characteristic |
| 565 | C4×C13 | #534 | 1 | 1 | yes | characteristic |
| 566 | C4×C13 | D42 | 1 | 1 | yes | characteristic |
| 567 | C4×C13 | #546 | 1 | 1 | yes | characteristic |
| 568 | Dic13 | — | 2 | 2 | no | — |
| 569 | Dic13 | — | 2 | 1 | no | — |
| 570 | Dic13 | — | 2 | 1 | no | — |
| 571 | Dic13 | — | 4 | 2 | no | — |
| 572 | Dic13 | — | 4 | 2 | no | — |
| 573 | Dic13 | — | 4 | 1 | no | — |
| 574 | Dic13 | — | 4 | 1 | no | — |
| 575 | Dic13 | — | 8 | 1 | no | — |
| 576 | 2−1+4 | — | 26 | 2 | no | — |
| 577 | 2−1+4 | — | 26 | 2 | no | — |
| 578 | 2−1+4 | — | 52 | 1 | no | — |
| 579 | 2−1+4 | — | 52 | 1 | no | — |
| 580 | C2×#41 | — | 13 | 1 | no | — |
| 581 | C2×#41 | — | 13 | 1 | no | — |
| 582 | C2×#41 | — | 13 | 1 | no | — |
| 583 | C2×#41 | — | 26 | 1 | no | — |
| 584 | C2×#41 | — | 26 | 1 | no | — |
| 585 | C2×#41 | — | 26 | 2 | no | — |
| 586 | C2×#41 | — | 26 | 1 | no | — |
| 587 | C2×#41 | — | 26 | 1 | no | — |
| 588 | C2×#41 | — | 26 | 2 | no | — |
| 589 | C2×#41 | — | 26 | 2 | no | — |
| 590 | C2×#41 | — | 52 | 1 | no | — |
| 591 | C2×#41 | — | 52 | 1 | no | — |
| 592 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 593 | C2×#41 | C22×D13 | 1 | 1 | yes | characteristic |
| 594 | C22×Q8 | — | 13 | 1 | no | — |
| 595 | C22×Q8 | — | 13 | 1 | no | — |
| 596 | C22×Q8 | — | 26 | 1 | no | — |
| 597 | C22×Q8 | — | 26 | 1 | no | — |
| 598 | C22×Q8 | C22×D13 | 1 | 1 | yes | characteristic |
| 599 | C22×D4 | — | 13 | 1 | no | — |
| 600 | C22×D4 | — | 26 | 1 | no | — |
| 601 | C23×C4 | — | 13 | 1 | no | — |
| 602 | C23×C4 | — | 26 | 1 | no | — |
| 603 | #137 | — | 2 | 2 | no | — |
| 604 | #137 | — | 4 | 1 | no | — |
| 605 | #137 | — | 4 | 1 | no | — |
| 606 | #137 | — | 4 | 1 | no | — |
| 607 | #137 | — | 26 | 2 | no | — |
| 608 | #137 | — | 26 | 2 | no | — |
| 609 | C2×Q16 | — | 2 | 1 | no | — |
| 610 | C2×Q16 | — | 2 | 1 | no | — |
| 611 | C2×Q16 | — | 26 | 1 | no | — |
| 612 | C2×SD16 | — | 2 | 1 | no | — |
| 613 | C2×SD16 | — | 2 | 1 | no | — |
| 614 | C2×SD16 | — | 26 | 1 | no | — |
| 615 | C2×M16 | — | 13 | 1 | no | — |
| 616 | C2×M16 | — | 13 | 1 | no | — |
| 617 | C2×M16 | — | 26 | 1 | no | — |
| 618 | C2×M16 | — | 26 | 2 | no | — |
| 619 | C2×M16 | — | 52 | 1 | no | — |
| 620 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 621 | C2×M16 | C22×D13 | 1 | 1 | yes | characteristic |
| 622 | C22×C8 | — | 26 | 1 | no | — |
| 623 | C4⋊Q8 | — | 26 | 2 | no | — |
| 624 | C4⋊Q8 | — | 26 | 2 | no | — |
| 625 | C4⋊Q8 | — | 26 | 1 | no | — |
| 626 | C4⋊Q8 | — | 52 | 1 | no | — |
| 627 | #124 | — | 26 | 2 | no | — |
| 628 | #124 | — | 26 | 1 | no | — |
| 629 | #123 | — | 26 | 2 | no | — |
| 630 | #123 | — | 26 | 2 | no | — |
| 631 | #123 | — | 26 | 2 | no | — |
| 632 | #123 | — | 26 | 1 | no | — |
| 633 | #123 | — | 26 | 2 | no | — |
| 634 | C22⋊Q8 | — | 2 | 1 | no | — |
| 635 | C22⋊Q8 | — | 2 | 1 | no | — |
| 636 | C22⋊Q8 | — | 13 | 1 | no | — |
| 637 | C22⋊Q8 | — | 13 | 1 | no | — |
| 638 | C22⋊Q8 | — | 26 | 2 | no | — |
| 639 | C22⋊Q8 | — | 26 | 2 | no | — |
| 640 | C22⋊Q8 | — | 26 | 1 | no | — |
| 641 | C22⋊Q8 | — | 26 | 1 | no | — |
| 642 | C22⋊Q8 | — | 26 | 1 | no | — |
| 643 | C22⋊Q8 | — | 26 | 1 | no | — |
| 644 | C22⋊Q8 | — | 26 | 2 | no | — |
| 645 | C22⋊Q8 | — | 26 | 1 | no | — |
| 646 | C22⋊Q8 | — | 26 | 1 | no | — |
| 647 | C22⋊Q8 | — | 26 | 1 | no | — |
| 648 | C22⋊Q8 | — | 26 | 1 | no | — |
| 649 | C22⋊Q8 | — | 26 | 1 | no | — |
| 650 | C22⋊Q8 | — | 26 | 1 | no | — |
| 651 | #121 | — | 2 | 1 | no | — |
| 652 | #121 | — | 2 | 1 | no | — |
| 653 | #121 | — | 2 | 2 | no | — |
| 654 | #121 | — | 13 | 1 | no | — |
| 655 | #121 | — | 13 | 1 | no | — |
| 656 | #121 | — | 26 | 2 | no | — |
| 657 | #121 | — | 26 | 2 | no | — |
| 658 | #121 | — | 26 | 2 | no | — |
| 659 | #120 | — | 26 | 1 | no | — |
| 660 | #120 | — | 26 | 2 | no | — |
| 661 | C4×Q8 | — | 26 | 1 | no | — |
| 662 | C4×D4 | — | 26 | 2 | no | — |
| 663 | C4×D4 | — | 26 | 1 | no | — |
| 664 | C4×D4 | — | 26 | 1 | no | — |
| 665 | C4×D4 | — | 26 | 1 | no | — |
| 666 | C4×D4 | — | 26 | 2 | no | — |
| 667 | C4×D4 | — | 26 | 2 | no | — |
| 668 | #117 | — | 13 | 1 | no | — |
| 669 | #117 | — | 26 | 2 | no | — |
| 670 | #117 | — | 26 | 1 | no | — |
| 671 | #117 | — | 52 | 1 | no | — |
| 672 | C2×C4⋊C4 | — | 13 | 2 | no | — |
| 673 | C2×C4⋊C4 | — | 13 | 1 | no | — |
| 674 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 675 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 676 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 677 | C2×C4⋊C4 | — | 26 | 1 | no | — |
| 678 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 679 | C2×C4⋊C4 | C22×D13 | 1 | 1 | yes | characteristic |
| 680 | C2×C22⋊C4 | — | 13 | 2 | no | — |
| 681 | C2×C22⋊C4 | — | 26 | 2 | no | — |
| 682 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 683 | C2×C22⋊C4 | — | 26 | 1 | no | — |
| 684 | C2×C42 | — | 13 | 1 | no | — |
| 685 | C2×C42 | C22×D13 | 1 | 1 | yes | characteristic |
| 686 | #107 | — | 26 | 1 | no | — |
| 687 | #106 | — | 26 | 1 | no | — |
| 688 | #104 | — | 2 | 2 | no | — |
| 689 | #104 | — | 4 | 1 | no | — |
| 690 | #104 | — | 13 | 4 | no | — |
| 691 | #104 | — | 26 | 2 | no | — |
| 692 | #104 | — | 26 | 2 | no | — |
| 693 | #104 | — | 26 | 2 | no | — |
| 694 | #103 | — | 26 | 1 | no | — |
| 695 | #103 | — | 26 | 1 | no | — |
| 696 | #103 | — | 26 | 1 | no | — |
| 697 | #103 | — | 26 | 1 | no | — |
| 698 | #103 | — | 26 | 1 | no | — |
| 699 | #102 | — | 26 | 1 | no | — |
| 700 | #102 | — | 26 | 1 | no | — |
| 701 | #102 | — | 26 | 1 | no | — |
| 702 | #101 | — | 26 | 2 | no | — |
| 703 | #101 | — | 52 | 1 | no | — |
| 704 | C22⋊C8 | — | 26 | 1 | no | — |
| 705 | C22⋊C8 | — | 26 | 1 | no | — |
| 706 | #95 | — | 2 | 2 | no | — |
| 707 | #95 | — | 26 | 2 | no | — |
| 708 | #95 | — | 26 | 2 | no | — |
| 709 | C2×C13 | — | 2 | 1 | no | — |
| 710 | C2×C13 | — | 2 | 1 | no | — |
| 711 | C2×C13 | — | 8 | 1 | no | — |
| 712 | C2×C13 | — | 8 | 1 | no | — |
| 713 | C2×C13 | #2410 | 1 | 1 | yes | characteristic |
| 714 | C2×C13 | #3020 | 1 | 1 | yes | characteristic |
| 715 | C2×C13 | #3022 | 1 | 1 | yes | characteristic |
| 716 | D13 | — | 4 | 1 | no | — |
| 717 | D13 | — | 4 | 1 | no | — |
| 718 | D13 | — | 4 | 2 | no | — |
| 719 | C24 | — | 13 | 1 | no | — |
| 720 | C24 | — | 26 | 1 | no | — |
| 721 | #41 | — | 2 | 1 | no | — |
| 722 | #41 | — | 2 | 1 | no | — |
| 723 | #41 | — | 2 | 1 | no | — |
| 724 | #41 | — | 2 | 1 | no | — |
| 725 | #41 | — | 2 | 1 | no | — |
| 726 | #41 | — | 2 | 1 | no | — |
| 727 | #41 | — | 2 | 1 | no | — |
| 728 | #41 | — | 2 | 1 | no | — |
| 729 | #41 | — | 13 | 2 | no | — |
| 730 | #41 | — | 13 | 2 | no | — |
| 731 | #41 | — | 26 | 1 | no | — |
| 732 | #41 | — | 26 | 1 | no | — |
| 733 | #41 | — | 26 | 2 | no | — |
| 734 | #41 | — | 26 | 2 | no | — |
| 735 | #41 | — | 52 | 2 | no | — |
| 736 | #41 | — | 52 | 2 | no | — |
| 737 | #41 | — | 52 | 2 | no | — |
| 738 | #41 | — | 52 | 2 | no | — |
| 739 | #41 | — | 52 | 1 | no | — |
| 740 | #41 | — | 52 | 2 | no | — |
| 741 | #41 | — | 52 | 2 | no | — |
| 742 | #41 | — | 52 | 2 | no | — |
| 743 | #41 | — | 52 | 2 | no | — |
| 744 | #41 | — | 52 | 4 | no | — |
| 745 | #41 | — | 52 | 4 | no | — |
| 746 | #41 | — | 52 | 1 | no | — |
| 747 | C2×Q8 | — | 2 | 1 | no | — |
| 748 | C2×Q8 | — | 2 | 1 | no | — |
| 749 | C2×Q8 | — | 2 | 1 | no | — |
| 750 | C2×Q8 | — | 2 | 1 | no | — |
| 751 | C2×Q8 | — | 2 | 1 | no | — |
| 752 | C2×Q8 | — | 2 | 1 | no | — |
| 753 | C2×Q8 | — | 13 | 1 | no | — |
| 754 | C2×Q8 | — | 26 | 1 | no | — |
| 755 | C2×Q8 | — | 26 | 2 | no | — |
| 756 | C2×Q8 | — | 26 | 1 | no | — |
| 757 | C2×Q8 | — | 26 | 1 | no | — |
| 758 | C2×Q8 | — | 26 | 1 | no | — |
| 759 | C2×Q8 | — | 26 | 1 | no | — |
| 760 | C2×Q8 | — | 26 | 1 | no | — |
| 761 | C2×Q8 | — | 26 | 1 | no | — |
| 762 | C2×Q8 | — | 26 | 2 | no | — |
| 763 | C2×Q8 | — | 52 | 2 | no | — |
| 764 | C2×Q8 | — | 52 | 2 | no | — |
| 765 | C2×Q8 | — | 52 | 1 | no | — |
| 766 | C2×Q8 | — | 52 | 2 | no | — |
| 767 | C2×Q8 | — | 52 | 2 | no | — |
| 768 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 769 | C2×Q8 | D4×D13 | 1 | 1 | yes | characteristic |
| 770 | C2×D4 | — | 2 | 1 | no | — |
| 771 | C2×D4 | — | 2 | 1 | no | — |
| 772 | C2×D4 | — | 2 | 2 | no | — |
| 773 | C2×D4 | — | 13 | 1 | no | — |
| 774 | C2×D4 | — | 26 | 1 | no | — |
| 775 | C2×D4 | — | 26 | 1 | no | — |
| 776 | C2×D4 | — | 26 | 2 | no | — |
| 777 | C2×D4 | — | 26 | 1 | no | — |
| 778 | C2×D4 | — | 26 | 1 | no | — |
| 779 | C2×D4 | — | 26 | 1 | no | — |
| 780 | C2×D4 | — | 26 | 2 | no | — |
| 781 | C2×D4 | — | 26 | 1 | no | — |
| 782 | C2×D4 | — | 52 | 1 | no | — |
| 783 | C2×D4 | — | 52 | 2 | no | — |
| 784 | C2×D4 | — | 52 | 2 | no | — |
| 785 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 786 | C2×D4 | D4×D13 | 1 | 1 | yes | characteristic |
| 787 | C22×C4 | — | 2 | 1 | no | — |
| 788 | C22×C4 | — | 2 | 1 | no | — |
| 789 | C22×C4 | — | 2 | 1 | no | — |
| 790 | C22×C4 | — | 2 | 1 | no | — |
| 791 | C22×C4 | — | 13 | 1 | no | — |
| 792 | C22×C4 | — | 13 | 1 | no | — |
| 793 | C22×C4 | — | 13 | 1 | no | — |
| 794 | C22×C4 | — | 13 | 1 | no | — |
| 795 | C22×C4 | — | 13 | 1 | no | — |
| 796 | C22×C4 | — | 13 | 2 | no | — |
| 797 | C22×C4 | — | 26 | 1 | no | — |
| 798 | C22×C4 | — | 26 | 1 | no | — |
| 799 | C22×C4 | — | 26 | 2 | no | — |
| 800 | C22×C4 | — | 26 | 2 | no | — |
| 801 | C22×C4 | — | 26 | 1 | no | — |
| 802 | C22×C4 | — | 26 | 1 | no | — |
| 803 | C22×C4 | — | 26 | 1 | no | — |
| 804 | C22×C4 | — | 26 | 1 | no | — |
| 805 | C22×C4 | — | 26 | 1 | no | — |
| 806 | C22×C4 | — | 26 | 1 | no | — |
| 807 | C22×C4 | — | 26 | 2 | no | — |
| 808 | C22×C4 | — | 26 | 1 | no | — |
| 809 | C22×C4 | — | 26 | 1 | no | — |
| 810 | C22×C4 | — | 52 | 2 | no | — |
| 811 | C22×C4 | — | 52 | 2 | no | — |
| 812 | C22×C4 | D4×D13 | 1 | 2 | yes | — |
| 813 | C22×C4 | C23×D13 | 1 | 1 | yes | characteristic |
| 814 | Q16 | — | 4 | 2 | no | — |
| 815 | Q16 | — | 4 | 2 | no | — |
| 816 | Q16 | — | 52 | 2 | no | — |
| 817 | SD16 | — | 4 | 2 | no | — |
| 818 | SD16 | — | 4 | 2 | no | — |
| 819 | SD16 | — | 52 | 2 | no | — |
| 820 | M16 | — | 2 | 1 | no | — |
| 821 | M16 | — | 2 | 1 | no | — |
| 822 | M16 | — | 2 | 1 | no | — |
| 823 | M16 | — | 26 | 1 | no | — |
| 824 | M16 | — | 26 | 1 | no | — |
| 825 | M16 | — | 26 | 1 | no | — |
| 826 | M16 | — | 26 | 1 | no | — |
| 827 | M16 | — | 52 | 2 | no | — |
| 828 | M16 | D4×D13 | 1 | 2 | yes | — |
| 829 | C2×C8 | — | 2 | 1 | no | — |
| 830 | C2×C8 | — | 2 | 1 | no | — |
| 831 | C2×C8 | — | 26 | 1 | no | — |
| 832 | C2×C8 | — | 26 | 1 | no | — |
| 833 | C2×C8 | — | 52 | 2 | no | — |
| 834 | C4⋊C4 | — | 2 | 2 | no | — |
| 835 | C4⋊C4 | — | 2 | 1 | no | — |
| 836 | C4⋊C4 | — | 2 | 1 | no | — |
| 837 | C4⋊C4 | — | 13 | 1 | no | — |
| 838 | C4⋊C4 | — | 13 | 1 | no | — |
| 839 | C4⋊C4 | — | 26 | 2 | no | — |
| 840 | C4⋊C4 | — | 26 | 2 | no | — |
| 841 | C4⋊C4 | — | 26 | 1 | no | — |
| 842 | C4⋊C4 | — | 26 | 1 | no | — |
| 843 | C4⋊C4 | — | 26 | 2 | no | — |
| 844 | C4⋊C4 | — | 26 | 2 | no | — |
| 845 | C4⋊C4 | — | 26 | 2 | no | — |
| 846 | C4⋊C4 | — | 26 | 1 | no | — |
| 847 | C4⋊C4 | — | 26 | 1 | no | — |
| 848 | C4⋊C4 | — | 52 | 1 | no | — |
| 849 | C4⋊C4 | — | 52 | 1 | no | — |
| 850 | C4⋊C4 | — | 52 | 2 | no | — |
| 851 | C4⋊C4 | — | 52 | 4 | no | — |
| 852 | C22⋊C4 | — | 2 | 2 | no | — |
| 853 | C22⋊C4 | — | 2 | 2 | no | — |
| 854 | C22⋊C4 | — | 26 | 2 | no | — |
| 855 | C22⋊C4 | — | 26 | 2 | no | — |
| 856 | C22⋊C4 | — | 26 | 1 | no | — |
| 857 | C22⋊C4 | — | 26 | 1 | no | — |
| 858 | C22⋊C4 | — | 26 | 2 | no | — |
| 859 | C22⋊C4 | — | 26 | 1 | no | — |
| 860 | C22⋊C4 | — | 26 | 1 | no | — |
| 861 | C22⋊C4 | — | 26 | 2 | no | — |
| 862 | C22⋊C4 | — | 26 | 2 | no | — |
| 863 | C22⋊C4 | — | 26 | 1 | no | — |
| 864 | C22⋊C4 | — | 52 | 2 | no | — |
| 865 | C22⋊C4 | — | 52 | 1 | no | — |
| 866 | C22⋊C4 | — | 52 | 1 | no | — |
| 867 | C42 | — | 2 | 1 | no | — |
| 868 | C42 | — | 2 | 1 | no | — |
| 869 | C42 | — | 13 | 2 | no | — |
| 870 | C42 | — | 26 | 2 | no | — |
| 871 | C42 | — | 26 | 1 | no | — |
| 872 | C42 | — | 26 | 1 | no | — |
| 873 | C13 | #24470 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 874 | C23 | — | 2 | 1 | no | — |
| 875 | C23 | — | 2 | 1 | no | — |
| 876 | C23 | — | 13 | 1 | no | — |
| 877 | C23 | — | 13 | 1 | no | — |
| 878 | C23 | — | 26 | 1 | no | — |
| 879 | C23 | — | 26 | 1 | no | — |
| 880 | C23 | — | 26 | 1 | no | — |
| 881 | C23 | — | 52 | 1 | no | — |
| 882 | C23 | — | 52 | 1 | no | — |
| 883 | C23 | — | 52 | 2 | no | — |
| 884 | C23 | — | 52 | 2 | no | — |
| 885 | C23 | — | 104 | 1 | no | — |
| 886 | C23 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 887 | Q8 | — | 2 | 1 | no | — |
| 888 | Q8 | — | 2 | 1 | no | — |
| 889 | Q8 | — | 2 | 1 | no | — |
| 890 | Q8 | — | 2 | 1 | no | — |
| 891 | Q8 | — | 4 | 1 | no | — |
| 892 | Q8 | — | 4 | 1 | no | — |
| 893 | Q8 | — | 4 | 1 | no | — |
| 894 | Q8 | — | 4 | 1 | no | — |
| 895 | Q8 | — | 13 | 2 | no | — |
| 896 | Q8 | — | 26 | 1 | no | — |
| 897 | Q8 | — | 52 | 2 | no | — |
| 898 | Q8 | — | 52 | 4 | no | — |
| 899 | Q8 | — | 52 | 1 | no | — |
| 900 | Q8 | — | 52 | 1 | no | — |
| 901 | Q8 | — | 52 | 1 | no | — |
| 902 | Q8 | — | 52 | 1 | no | — |
| 903 | D4 | — | 2 | 1 | no | — |
| 904 | D4 | — | 2 | 1 | no | — |
| 905 | D4 | — | 2 | 1 | no | — |
| 906 | D4 | — | 2 | 1 | no | — |
| 907 | D4 | — | 4 | 1 | no | — |
| 908 | D4 | — | 4 | 1 | no | — |
| 909 | D4 | — | 4 | 1 | no | — |
| 910 | D4 | — | 4 | 1 | no | — |
| 911 | D4 | — | 8 | 2 | no | — |
| 912 | D4 | — | 13 | 2 | no | — |
| 913 | D4 | — | 26 | 2 | no | — |
| 914 | D4 | — | 26 | 2 | no | — |
| 915 | D4 | — | 26 | 1 | no | — |
| 916 | D4 | — | 52 | 2 | no | — |
| 917 | D4 | — | 52 | 2 | no | — |
| 918 | D4 | — | 52 | 2 | no | — |
| 919 | D4 | — | 52 | 2 | no | — |
| 920 | D4 | — | 52 | 4 | no | — |
| 921 | D4 | — | 104 | 1 | no | — |
| 922 | C2×C4 | — | 2 | 2 | no | — |
| 923 | C2×C4 | — | 2 | 1 | no | — |
| 924 | C2×C4 | — | 2 | 1 | no | — |
| 925 | C2×C4 | — | 4 | 1 | no | — |
| 926 | C2×C4 | — | 4 | 1 | no | — |
| 927 | C2×C4 | — | 4 | 1 | no | — |
| 928 | C2×C4 | — | 4 | 1 | no | — |
| 929 | C2×C4 | — | 4 | 2 | no | — |
| 930 | C2×C4 | — | 4 | 1 | no | — |
| 931 | C2×C4 | — | 4 | 1 | no | — |
| 932 | C2×C4 | — | 4 | 1 | no | — |
| 933 | C2×C4 | — | 4 | 1 | no | — |
| 934 | C2×C4 | — | 4 | 1 | no | — |
| 935 | C2×C4 | — | 4 | 1 | no | — |
| 936 | C2×C4 | — | 13 | 1 | no | — |
| 937 | C2×C4 | — | 13 | 1 | no | — |
| 938 | C2×C4 | — | 26 | 1 | no | — |
| 939 | C2×C4 | — | 26 | 1 | no | — |
| 940 | C2×C4 | — | 26 | 1 | no | — |
| 941 | C2×C4 | — | 26 | 1 | no | — |
| 942 | C2×C4 | — | 26 | 1 | no | — |
| 943 | C2×C4 | — | 26 | 1 | no | — |
| 944 | C2×C4 | — | 26 | 1 | no | — |
| 945 | C2×C4 | — | 26 | 2 | no | — |
| 946 | C2×C4 | — | 26 | 1 | no | — |
| 947 | C2×C4 | — | 26 | 1 | no | — |
| 948 | C2×C4 | — | 26 | 1 | no | — |
| 949 | C2×C4 | — | 26 | 1 | no | — |
| 950 | C2×C4 | — | 26 | 2 | no | — |
| 951 | C2×C4 | — | 26 | 1 | no | — |
| 952 | C2×C4 | — | 26 | 1 | no | — |
| 953 | C2×C4 | — | 26 | 2 | no | — |
| 954 | C2×C4 | — | 26 | 2 | no | — |
| 955 | C2×C4 | — | 26 | 2 | no | — |
| 956 | C2×C4 | — | 26 | 2 | no | — |
| 957 | C2×C4 | — | 52 | 2 | no | — |
| 958 | C2×C4 | — | 52 | 2 | no | — |
| 959 | C2×C4 | — | 52 | 4 | no | — |
| 960 | C2×C4 | — | 52 | 2 | no | — |
| 961 | C2×C4 | — | 52 | 4 | no | — |
| 962 | C2×C4 | — | 52 | 1 | no | — |
| 963 | C2×C4 | — | 52 | 1 | no | — |
| 964 | C2×C4 | — | 52 | 2 | no | — |
| 965 | C2×C4 | — | 52 | 1 | no | — |
| 966 | C2×C4 | — | 104 | 2 | no | — |
| 967 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 968 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 969 | C2×C4 | C2×D4×D13 | 1 | 1 | yes | characteristic |
| 970 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 971 | C2×C4 | #88251 | 1 | 1 | yes | characteristic |
| 972 | C2×C4 | #41×D13 | 1 | 1 | yes | characteristic |
| 973 | C8 | — | 2 | 2 | no | — |
| 974 | C8 | — | 4 | 1 | no | — |
| 975 | C8 | — | 52 | 1 | no | — |
| 976 | C8 | — | 52 | 1 | no | — |
| 977 | C22 | — | 2 | 1 | no | — |
| 978 | C22 | — | 2 | 1 | no | — |
| 979 | C22 | — | 4 | 1 | no | — |
| 980 | C22 | — | 4 | 1 | no | — |
| 981 | C22 | — | 4 | 1 | no | — |
| 982 | C22 | — | 4 | 1 | no | — |
| 983 | C22 | — | 4 | 1 | no | — |
| 984 | C22 | — | 4 | 1 | no | — |
| 985 | C22 | — | 26 | 1 | no | — |
| 986 | C22 | — | 26 | 1 | no | — |
| 987 | C22 | — | 26 | 1 | no | — |
| 988 | C22 | — | 26 | 1 | no | — |
| 989 | C22 | — | 26 | 1 | no | — |
| 990 | C22 | — | 26 | 1 | no | — |
| 991 | C22 | — | 26 | 2 | no | — |
| 992 | C22 | — | 52 | 1 | no | — |
| 993 | C22 | — | 52 | 1 | no | — |
| 994 | C22 | — | 104 | 1 | no | — |
| 995 | C22 | — | 104 | 1 | no | — |
| 996 | C22 | — | 104 | 4 | no | — |
| 997 | C22 | D13×#120 | 1 | 1 | yes | characteristic |
| 998 | C22 | #11719317 | 1 | 1 | yes | characteristic |
| 999 | C22 | #11719422 | 1 | 1 | yes | characteristic |
| 1000 | C4 | — | 4 | 2 | no | — |
| 1001 | C4 | — | 4 | 1 | no | — |
| 1002 | C4 | — | 4 | 1 | no | — |
| 1003 | C4 | — | 8 | 1 | no | — |
| 1004 | C4 | — | 8 | 1 | no | — |
| 1005 | C4 | — | 26 | 1 | no | — |
| 1006 | C4 | — | 26 | 1 | no | — |
| 1007 | C4 | — | 26 | 2 | no | — |
| 1008 | C4 | — | 52 | 2 | no | — |
| 1009 | C4 | — | 52 | 1 | no | — |
| 1010 | C4 | — | 52 | 1 | no | — |
| 1011 | C4 | — | 52 | 2 | no | — |
| 1012 | C4 | — | 104 | 1 | no | — |
| 1013 | C4 | #11719294 | 1 | 1 | yes | characteristic |
| 1014 | C4 | #11719295 | 1 | 1 | yes | characteristic |
| 1015 | C4 | D13×#121 | 1 | 1 | yes | characteristic |
| 1016 | C4 | #11719315 | 1 | 1 | yes | characteristic |
| 1017 | C2 | — | 2 | 1 | no | — |
| 1018 | C2 | — | 2 | 1 | no | — |
| 1019 | C2 | — | 8 | 1 | no | — |
| 1020 | C2 | — | 8 | 1 | no | — |
| 1021 | C2 | — | 52 | 1 | no | — |
| 1022 | C2 | — | 52 | 1 | no | — |
| 1023 | C2 | — | 52 | 2 | no | — |
| 1024 | C2 | #13118203 | 1 | 1 | yes | characteristic |
| 1025 | C2 | #13124201 | 1 | 1 | yes | characteristic |
| 1026 | C2 | #13124211 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13124460 | C2 | semidirect |
| 3. C2×#11718866 | C2 | semidirect |
| 4. #13124092 | C2 | semidirect |
| 5. C2×#11718482 | C2 | semidirect |
| 6. #13120607 | C2 | semidirect |
| 7. #13116062 | C2 | semidirect |
| 8. #13116052 | C2 | semidirect |
| 9. #13115869 | C2 | semidirect |
| 10. #13115303 | C2 | semidirect |
| 11. #13115281 | C2 | semidirect |
| 12. #13115208 | C2 | semidirect |
| 13. #13115072 | C2 | semidirect |
| 14. #13114796 | C2 | semidirect |
| 15. C13×#2007 | C2 | semidirect |
| 19. C2×C13×#137 | C22 | semidirect |
| 24. C2×#88198 | C22 | semidirect |
| 41. C2×C13×#104 | C22 | semidirect |
| 42. C13×#391 | C22 | semidirect |
| 44. C2×#88077 | C22 | semidirect |
| 46. #11718893 | C22 | semidirect |
| 47. #11718886 | C22 | semidirect |
| 58. C2×#88064 | C22 | semidirect |
| 59. C2×#88064 | C22 | semidirect |
| 62. #11718782 | C22 | semidirect |
| 63. #11718638 | C22 | semidirect |
| 64. #11718590 | C22 | semidirect |
| 69. C13×#343 | C22 | semidirect |
| 70. #11718147 | C22 | semidirect |
| 71. #11718122 | C22 | semidirect |
| 72. #11718115 | C22 | semidirect |
| 196. #88065 | D4 | semidirect |
| 369. #2007 | D13 | semidirect |
| 483. C2×#137 | C2×D13 | semidirect |
| 519. C2×#104 | C2×D13 | semidirect |
| 530. #391 | C2×D13 | semidirect |
| 533. #343 | C2×D13 | semidirect |
| 873. C13 | #24470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128511 | 2 |
| #13124460 | 2 |
| C2×#11718866 | 2 |
| #13124092 | 2 |
| C2×#11718482 | 2 |
| #13120607 | 2 |
| #13116062 | 2 |
| #13116052 | 2 |
| #13115869 | 2 |
| #13115303 | 2 |
| #13115281 | 2 |
| #13115208 | 2 |
| #13115072 | 2 |
| #13114796 | 2 |
| C13×#2007 | 2 |
| #24470 | 13 |