Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13115557 | C2 | semidirect |
| 3. #13113486 | C2 | semidirect |
| 4. #13113332 | C2 | semidirect |
| 5. #13113331 | C2 | semidirect |
| 6. #13112666 | C2 | semidirect |
| 7. C13×#1540 | C2 | semidirect |
| 141. #1540 | D13 | semidirect |
| 352. C13 | #10546 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125281 | 2 |
| #13115557 | 2 |
| #13113486 | 2 |
| #13113332 | 2 |
| #13113331 | 2 |
| #13112666 | 2 |
| C13×#1540 | 2 |
| #10546 | 13 |