Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
528 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 1. #14528530 | C2 | semidirect |
| 2. #14526610 | C2 | semidirect |
| 21. C17×#124 | C8 | semidirect |
| 155. #124 | #3622 | semidirect |
| 173. C17 | #7567 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528530 | 2 |
| #14526610 | 2 |
| #14526605 | 2 |
| C4×C17×#124 | 2 |
| #7567 | 17 |