Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
310 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 35. C4×C8×C17 | C8 | semidirect |
| 36. C8×Dic17 | C8 | semidirect |
| 37. C8×Dic17 | C8 | semidirect |
| 38. C4×#3622 | C8 | semidirect |
| 148. C4×C8 | #3633 | semidirect |
| 150. C17 | #8780 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545908 | 2 |
| #14545794 | 2 |
| #14545787 | 2 |
| #14544440 | 2 |
| #8780 | 17 |