Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
138 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 37 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. #14545868 | C2 | semidirect |
| 2. #14545850 | C2 | semidirect |
| 19. C17×D16 | C8 | semidirect |
| 21. D272 | C8 | semidirect |
| 82. D16 | #3633 | semidirect |
| 90. C17 | #7383 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545868 | 2 |
| #14545850 | 2 |
| D16×#595 | 2 |
| #7383 | 17 |