Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
270 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 270 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 |
|---|---|---|
| 5. C13×#423 | C4 | semidirect |
| 8. C13×#376 | C4 | semidirect |
| 11. #11718140 | C4 | semidirect |
| 12. #11718137 | C4 | semidirect |
| 102. #423 | Dic13 | semidirect |
| 107. #376 | Dic13 | semidirect |
| 187. C13 | #7503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116521 | 2 |
| #13116501 | 2 |
| C13×#1963 | 2 |
| #7503 | 13 |