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 |
|---|---|---|
| 1. C2×D416 | C2 | semidirect |
| 2. #13116922 | C2 | semidirect |
| 3. #13113036 | C2 | semidirect |
| 4. #13113015 | C2 | semidirect |
| 5. C22×C13×C32 | C2 | semidirect |
| 27. C13×C32 | D4 | semidirect |
| 44. C22×C32 | D13 | semidirect |
| 72. C22×C13 | D32 | semidirect |
| 93. C32 | C22⋊D13 | semidirect |
| 113. C13 | #13694 | semidirect |
| 132. C22 | D416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D416 | 2 |
| #13116922 | 2 |
| #13113036 | 2 |
| #13113015 | 2 |
| C22×C13×C32 | 2 |
| #13694 | 13 |