Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1566 conjugacy classes of subgroups; only the 563 normal subgroups are shown.
This group has 1566 conjugacy classes of subgroups — too many to draw. Only its 563 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 |
|---|---|---|
| 10. C13×#383 | C4 | semidirect |
| 14. #11718598 | C4 | semidirect |
| 15. C42×Dic13 | C4 | semidirect |
| 51. C42×C13 | C42 | semidirect |
| 87. #383 | Dic13 | direct (N × H) |
| 103. Dic13 | #383 | direct (N × H) |
| 146. C42 | C4×Dic13 | semidirect |
| 147. C13 | C4×#383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718598 | 2 |
| C2×C42×Dic13 | 2 |
| #13113061 | 2 |
| #95×Dic13 | 2 |
| C2×C13×#383 | 2 |
| C4×#383 | 13 |