Order 3328.
1262 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 26. #11718598 | C4 | semidirect |
| 106. C42×C13 | C4⋊C4 | semidirect |
| 303. C42 | #6101 | semidirect |
| 304. C13 | #14298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718598 | 2 |
| C2×C4×C4⋊Dic13 | 2 |
| #13113100 | 2 |
| #13113099 | 2 |
| #13113095 | 2 |
| #13113092 | 2 |
| #13113067 | 2 |
| C2×C13×#382 | 2 |
| #14298 | 13 |