Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
2078 conjugacy classes of subgroups; only the 752 normal subgroups are shown.
This group has 2078 conjugacy classes of subgroups — too many to draw. Only its 752 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. C4×C4⋊#595 | C4 | semidirect |
| 9. #11762655 | C4 | semidirect |
| 10. #11762654 | C4 | semidirect |
| 12. C17×#376 | C4 | semidirect |
| 39. C4⋊#595 | C42 | semidirect |
| 41. C42×C17 | C42 | semidirect |
| 42. C4×Dic17 | C42 | semidirect |
| 43. C4×Dic17 | C42 | semidirect |
| 82. #376 | #595 | semidirect |
| 102. C17 | #13750 | semidirect |
| 120. C42 | C4×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C4⋊#595 | 2 |
| #95×#595 | 2 |
| D17×#376 | 2 |
| #13750 | 17 |