Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
668 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13121861 | C2 | semidirect |
| 2. #13115924 | C2 | semidirect |
| 3. #13115907 | C2 | semidirect |
| 4. #13112661 | C2 | semidirect |
| 5. #13112657 | C2 | semidirect |
| 6. #13112656 | C2 | semidirect |
| 7. C13×#2011 | C2 | semidirect |
| 115. C2×Dic26 | D8 | semidirect |
| 148. #2011 | D13 | semidirect |
| 405. C13 | #7742 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13121861 | 2 |
| #13115924 | 2 |
| #13115907 | 2 |
| #13112661 | 2 |
| #13112657 | 2 |
| #13112656 | 2 |
| C13×#2011 | 2 |
| #7742 | 13 |