Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
286 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 4. C13×#568 | C4 | semidirect |
| 7. C13×#410 | C4 | semidirect |
| 11. #11718137 | C4 | semidirect |
| 14. #11718132 | C4 | semidirect |
| 101. #568 | Dic13 | semidirect |
| 105. #410 | Dic13 | semidirect |
| 188. C13 | #7486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116501 | 2 |
| #13113428 | 2 |
| C13×#1884 | 2 |
| #7486 | 13 |