Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
430 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 119 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13113595 | C2 | semidirect |
| 3. #13112798 | C2 | semidirect |
| 4. C13×#2162 | C2 | semidirect |
| 17. C4×C13×C16 | C22 | semidirect |
| 19. #11718050 | C22 | semidirect |
| 78. D104 | M16 | semidirect |
| 81. #2162 | D13 | semidirect |
| 125. C4×C16 | C2×D13 | semidirect |
| 209. C13 | #11657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D104 | 2 |
| #13113595 | 2 |
| #13112798 | 2 |
| C13×#2162 | 2 |
| #11657 | 13 |