Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
766 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 766 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13115634 | C2 | semidirect |
| 3. #13113536 | C2 | semidirect |
| 4. #13113532 | C2 | semidirect |
| 5. #13113446 | C2 | semidirect |
| 6. #13113176 | C2 | semidirect |
| 7. C13×#1531 | C2 | semidirect |
| 154. #1531 | D13 | semidirect |
| 371. C13 | #8458 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13128690 | 2 |
| #13115634 | 2 |
| #13113536 | 2 |
| #13113532 | 2 |
| #13113446 | 2 |
| #13113176 | 2 |
| C13×#1531 | 2 |
| #8458 | 13 |