Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
314 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 6. C13×#500 | C4 | semidirect |
| 7. C13×#494 | C4 | semidirect |
| 12. C4×C13×Q16 | C4 | semidirect |
| 103. #500 | Dic13 | semidirect |
| 104. #494 | Dic13 | semidirect |
| 109. C4×Q16 | Dic13 | semidirect |
| 189. C13 | #11859 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116639 | 2 |
| #13114967 | 2 |
| #13112848 | 2 |
| C13×#3170 | 2 |
| #11859 | 13 |