Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
214 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 75 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. C4×D208 | C2 | semidirect |
| 3. #13113035 | C2 | semidirect |
| 4. #13113014 | C2 | semidirect |
| 5. #13113013 | C2 | semidirect |
| 6. C4×#88034 | C2 | semidirect |
| 7. C4×C13×D16 | C2 | semidirect |
| 15. #11718111 | C4 | direct (N × H) |
| 25. C13×D16 | C2×C4 | semidirect |
| 34. D208 | C2×C4 | semidirect |
| 36. #88034 | C2×C4 | semidirect |
| 58. C4×D16 | D13 | semidirect |
| 100. C4×C13 | D32 | semidirect |
| 111. D16 | C4×D13 | semidirect |
| 144. C13 | C4×D32 | semidirect |
| 171. C4 | #11718111 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718111 | 2 |
| C4×D208 | 2 |
| #13113035 | 2 |
| #13113014 | 2 |
| #13113013 | 2 |
| C4×#88034 | 2 |
| C4×C13×D16 | 2 |
| C4×D32 | 13 |