Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
524 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #13125383 | C2 | semidirect |
| 4. #13115784 | C2 | semidirect |
| 6. #13112685 | C2 | semidirect |
| 7. C13×#1503 | C2 | semidirect |
| 121. #6099 | SD16 | semidirect |
| 131. #1503 | D13 | semidirect |
| 313. C13 | #10197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126148 | 2 |
| #13125763 | 2 |
| #13125383 | 2 |
| #13115784 | 2 |
| #13115754 | 2 |
| #13112685 | 2 |
| C13×#1503 | 2 |
| #10197 | 13 |