Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
242 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 9. C13×#335 | C4 | semidirect |
| 12. C4⋊#6090 | C4 | semidirect |
| 86. #335 | Dic13 | semidirect |
| 144. C13 | #7296 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116635 | 2 |
| C4×#88058 | 2 |
| C13×#1567 | 2 |
| #7296 | 13 |