Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
326 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 3. #13113011 | C2 | semidirect |
| 5. C13×#533 | C4 | semidirect |
| 7. C13×#488 | C4 | semidirect |
| 13. C2×C4×C8×C13 | C4 | semidirect |
| 116. #533 | Dic13 | semidirect |
| 118. #488 | Dic13 | semidirect |
| 126. C2×C4×C8 | Dic13 | semidirect |
| 215. C13 | #13602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116521 | 2 |
| #13116501 | 2 |
| #13113011 | 2 |
| C13×#3131 | 2 |
| #13602 | 13 |