Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13116609 | C2 | semidirect |
| 4. #13112951 | C2 | semidirect |
| 15. C13×#349 | C4 | semidirect |
| 35. C13×M32 | C2×C4 | semidirect |
| 117. #349 | Dic13 | semidirect |
| 150. M32 | C2×Dic13 | semidirect |
| 196. C13 | #12932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123426 | 2 |
| #13116609 | 2 |
| #13114878 | 2 |
| #13112951 | 2 |
| C2×C13×#349 | 2 |
| #12932 | 13 |