Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
484 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 109 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. #135×Dic13 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. #13115722 | C2 | semidirect |
| 5. #13112950 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C13×#2143 | C2 | semidirect |
| 14. #11718856 | C4 | semidirect |
| 16. #11718854 | C4 | semidirect |
| 48. C2×Dic52 | C2×C4 | semidirect |
| 53. C2×D104 | C2×C4 | semidirect |
| 74. #88052 | C2×C4 | semidirect |
| 134. #2143 | D13 | semidirect |
| 321. C13 | #13027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #135×Dic13 | 2 |
| #13116573 | 2 |
| #13115722 | 2 |
| #13112950 | 2 |
| #13112917 | 2 |
| C13×#2143 | 2 |
| #13027 | 13 |