Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
214 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13116682 | C2 | semidirect |
| 3. #13113013 | C2 | semidirect |
| 4. C32×Dic13 | C2 | semidirect |
| 5. C13×#1423 | C2 | semidirect |
| 13. D416 | C4 | semidirect |
| 22. D208 | C2×C4 | semidirect |
| 23. C13×C32 | C2×C4 | semidirect |
| 40. #1423 | D13 | semidirect |
| 70. Dic13 | D32 | semidirect |
| 81. C32 | C4×D13 | semidirect |
| 98. C13 | C4×D32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D416 | 2 |
| #13116682 | 2 |
| #13113013 | 2 |
| C32×Dic13 | 2 |
| C13×#1423 | 2 |
| C4×D32 | 13 |