Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
592 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13126148 | C2 | semidirect |
| 3. #13125212 | C2 | semidirect |
| 4. #13115763 | C2 | semidirect |
| 5. #13115754 | C2 | semidirect |
| 6. #13112685 | C2 | semidirect |
| 7. C13×#1503 | C2 | semidirect |
| 136. #1503 | D13 | semidirect |
| 336. C13 | #10193 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126148 | 2 |
| #13125756 | 2 |
| #13125212 | 2 |
| #13115763 | 2 |
| #13115754 | 2 |
| #13112685 | 2 |
| C13×#1503 | 2 |
| #10193 | 13 |