Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
598 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13124863 | C2 | semidirect |
| 3. #13118122 | C2 | semidirect |
| 4. #13113264 | C2 | semidirect |
| 5. #13113260 | C2 | semidirect |
| 6. #13112665 | C2 | semidirect |
| 7. C13×#1963 | C2 | semidirect |
| 141. #1963 | D13 | semidirect |
| 353. C13 | #10013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124863 | 2 |
| #13124832 | 2 |
| #13118122 | 2 |
| #13113264 | 2 |
| #13113260 | 2 |
| #13112665 | 2 |
| C13×#1963 | 2 |
| #10013 | 13 |